Gravity, Quantum Relativity & System 3Robert Campbell 2008 |

foundation of General Relativity. Space and time are projected as a linear series of atomic space-frames alternating

with orthogonal quantum frames that are unified in the timeless Void that spans and integrates space and time.

Space and time are defined by light in each space frame, consistent with Planck’s constant. Since each space and

quantum frame together defines one primary interval of time, they can be historically integrated by the introduction

of historic coordinates. The mass-energy relationship of special relativity is defined by the world box of the

coordinate system. The Lorentz Transformations between different inertial systems are defined by the relative box

with respect to the world box. The gravitational and Coulomb forces follow similar considerations. Gravity is a force

of attraction between separate atoms in external space-frames that are united in corresponding quantum frames by

the universal set. The Coulomb force is generated by the universal countercurrent identities that intimately link

electron and proton in the inner space of the atom in each space-frame that are likewise united as photonic energy

in the quantum frame. Both forces reconcile the unity and separation between quantum and space frames in the

same interval of time. The synchronous projection of atoms everywhere at once accounts for Mach’s principle and

the distinction between inertial velocity and mass. Electromagnetic fields derive from the need for the universal set

to span successive increments of space-time to link free electrons with their proton partners, consistent with

Maxwell’s equations. The world box of the historic coordinates shows how gravitational acceleration of the entire

stellar population of galaxies requires space-frame skipping at their centers with respect to their peripheries. The

resultant contraction of the integrated fabric of space-time at their centers drives the eternal regeneration of their

stellar populations. Quantum relativity emerges naturally in a way that indicates completely new approaches to

celestial dynamics and cosmology. Three distinct kinds of identity are indicated by System 3.

physics cannot be based on the field concept, that is, on continuous structures. Then nothing remains of my entire

castle in the sky, including the theory of gravitation, but also nothing of the rest of modern physics.”

This alternate possibility is the discontinuous projection of space-time, distinct from the assumed spacetime

continuum of general relativity. It requires a structural insight into the dynamics of how space and time are

generated. Space and time are concepts derived a posteriori from this physical creation and there is no real

justification for raising them to a priori status as general relativity does.

The discontinuous projection of space and time requires that mass itself must be discontinuous. It must appear as

particulate atoms separated by distance in a succession of synchronous projections, like frames in a holographic

cosmic movie in which all atoms are still projections linked up by light. Light itself defines the space between them.

If mass is discontinuous it must also synchronously disappear into timeless bundles of quantized energy, each

quantum atom thus having a photonic energy equivalent that is both timeless and spatially indeterminate. It must be

timeless so that successive still frames of spatial projection can close ranks to present the appearance of spatial

continuity. It must be spatially indeterminate because atoms are only detectable as discrete particles of mass in the

integrated fabric of space-time.

This alternate energy mode of mass constitutes a holistic boundless field that is orthogonal to the integrated fabric

of space-time. In the System it is called the Void. It is consistent with Planck’s universal quantum of action and with

Bohr’s initial assumptions in establishing an ontological model of the atom.

Certain things necessarily follow. A primary interval of time is defined by the occurrence of one space frame

together with one timeless quantum frame. The inner space of an atom is distinct from the outer space between

atoms. Space and time are quantized.

set that intimately binds photon, electron and proton within each particular set everywhere at once. In each

integrated space frame all atoms are linked up by light that defines external space in relation to the inner space

defined within each atom by discrete photon energy levels. All light issues from within excited atoms and it thus has

a universal relationship to each independent atom irrespective of relative velocity.

Space frames specified by each atom alternate with timeless quantum frames that are the photon energy

equivalent of each atom. All the discrete quantized energy equivalents of all atoms in the universe are holistically

integrated as one by the unique universal set in the quantum frames. This holistically integrated energy field is

timelessly balanced and spatially indeterminate. In Systems 3 and higher it is called the Void. (1) It is a quantum

sensorium or master memory bank from which the world of form is synchronously recalled to project a succession

of integrated space frames that define space-time. The Void spans and timelessly integrates the whole of space

and time. The Void integrates history. The timeless Void is orthogonal to space and time, such that the integrated

fabric of space-time is projected with the appearance of a seamless reality.

What we accept as a seamless reality is a discontinuous projection however. The discontinuity is betrayed by

Planck’s universal constant h that tells us the light comes to us as a discontinuous series of quantized pulses such

that E=hf, where E is the photonic energy and f is the frequency of the light. This is consistent with System 3 and

with the quantization of both space and time. The primary interval of time is 1.519 x 10^-16 seconds,(2) consistent

with zero angular momentum in the first orbit of hydrogen and the hydrogen spectrum generally. The primary

interval of space is the distance that light can transmit in the primary interval of time, namely 4.554 x 10^-8 meters.

This is the circumference of the largest fully coherent atom, since photonic energy in the internal spherical space of

the atom functions orthogonal to its linear projection that defines external space between atoms. This

circumference corresponds to the 12th orbit of a primary hydrogen atom. Hydrogen is the largest atom, since the

electron orbits are contracted in heavier atoms.

transmission through the integrated fabric of space-time because it defines the very nature of space-time. This

does not mean, however, that atoms are completely separate entities. Physical events remain synchronously

correlated via the universal set that coheres with all particular sets at once. Neutral atoms are separate and distinct

within each successive space frame but they are also holistically integrated as an indeterminate and timeless

energy field in the Void within the same primary interval of time. A primary interval of linear time is defined by each

single recurrence of an integrated space frame in classical units of time consistent with the Planck-Einstein relation

E=hf above. Particular atoms are both distinct and indistinct at the same time. The oscillation between space and

quantum frames accounts for the wave-particle duality of matter and the uncertainty principle.

Gravitational phenomena derive from this fundamental ontological reality. Each spatially integrated frame that

projects separate atoms on the space frame side is holistically unified as a coherent energy field on the quantum

frame side. Physical matter is both One and Many, at the same time. It is one on the integrated quantum frame side

and many on the integrated space-frame side.

This means essentially that gravitational attraction derives from the unity of all physical matter via the Void. Since

the orthogonal Void spans space-time and integrates history, gravity acts through the successive projection of

space-frames. Gravity derives from the primary projection of the physical universe frame by frame, and the

attractive force between separate particulate masses is universally apparent.

Gravity is not a force transmitted through space-time faster than light. It is a quantum force of attraction that

operates timelessly via the Void. It is the primary member of a family of a hitherto unrecognized quantum forces

that operate timelessly via the Void. Since all relative motion depends on the speed of light for its detection, and

since gravity is associated with the synchronous projection of all matter, there is no measurable way to establish

that gravity is a force transmitted as a gravity wave at the speed of light through a spacetime continuum. This is

especially so in a discontinuous universe because there is no continuum. Motions due to gravity or any other force

can only be known through a succession of space frames over time and their detection depends on the speed of

light.

The synchronous projection of successive space frames can themselves be regarded as waves associated with all

particulate matter. The wave nature of particulate matter only becomes apparent in relative motions. In this

scenario gravitational attraction is implicit in the time-like synchronous projection of space frames from the timeless

and boundless Void that is irrationally present in the orthogonal bottomless seams between frames. In other words

mass is both separate and distinct in each space frame projection and unified and boundless, at the same time.

Since EM energy is mass in reflux through the cosmic movie consistent with E=mc2, this means that massive

ejections of energy such as from colliding black holes can synchronously warp the integrated fabric of space and

time. The slight warp relative to the total synchronous projection of the universe should propagate at light speed

through the integrated fabric of the universe, since light itself defines space. There is no a priori space-time

continuum for a gravity wave to move through.

The current excitement over the supposed discovery of gravity waves from two colliding black holes is misplaced.

The result may be real but for a different reason. Quantum mechanics is fundamentally inconsistent with Einstein’s

General Relativity as Einstein himself maintained to the end of his life. He also insisted that singularities (black

holes) must be cut from his theory because they are not consistent with the assumptions on which the theory is

based. But this is ignored in the claim that the so-called discovery of gravity waves confirms his theory. It is a kind of

double speak. In the final appendix of his book The Meaning of Relativity 5th Ed, he maintains that General

Relativity is not a complete description of reality and that a discrete approach consistent with quantum numbers is

needed but no one knows how to establish the basis to such a theory. A coherent non-linguistic structural basis is

provided here and in related articles on the website. It defies reduction to algorithm. The meaning implicit in all

language derives from it not vice versa.

approach zero in equations that relate to Cartesian coordinates. The method was questioned at the time it was

introduced because of the indeterminate magnitude of infinitesimal increments.(4) Are space and time infinitely

divisible? Zeno’s paradoxes indicate that this does not make rational sense. So do quantum jumps in position from

one electron orbit to another orbit via the Void without traversing the inner space between orbits. Space and time

must be generated in discrete amounts that place a minimum limit on the increment of the differential in the calculus.

Knowing that these discrete amounts exist allows a natural process of historic integration that is similar in some

general respects to integration in the calculus, but only when cosmic relationships are involved. This can find a

variety of mathematical applications in astrophysics, stellar evolution and galactic organization on the macroscopic

scale consistent with the Lorentz transformations, just as Schrödinger, de Broglie and Bohm demonstrated

applications associated with the inner space of the atom and sub-atomic interactions on the microscopic scale.

a succession of space frames. Since space and time are quantized so is relative velocity, mass, and momentum as

it relates to the velocity of light. The spatial distribution of atomic matter on the space-frame side of System 3 has

reciprocal quantum counterparts in the timeless Void, since the Void constitutes an indeterminate orthogonal space

as a conjugate field associated with the organization of timelessly quantized mass as energy. (See System 3 page.)

Both the Particular and Universal Sets of System 3 invert the subjective to objective orientations of the centers that

constitute them in transformations between space and quantum frames. They also invert the manner in which they

mutually cohere together. They are mutually reciprocal. It will be said that the quantum frame is the conjugate

equivalent of the space-frame. The Void is orthogonal to the integrated fabric of space-time.

In other words the coalesced photonic energy equivalents of atomic matter have quantized spatial relationships in

the Void. The Void is a conjugate field that reflects the spatial distribution and organization of particulate matter but

not in a way that can be explicitly determined from the space frame side as a human being. The field is a boundless

and all embracing unity.(5) It is one. There is no distinction of separate phenomena in the Void. Nevertheless

energy transformations from space-frame to space-frame are effected through the orthogonal agency of the Void.

They are not transmitted through the integrated fabric of space in a single frame because there is no particulate

motion in a single space frame. Each synchronous space-frame is a still projection that defines an increment of time.

Each synchronous projection of a still space-frame is integrated by electromagnetic (EM) activity alone. EM activity

emanates as efflux from within atoms due to quantum jumps between space-frames. It is energy in a dynamic

process of efflux and reflux associated with the synchronous projection of matter.

Consistent with this view historic integration involves summing relative increments of space-time associated with the

projection of atoms, taking into account both the orthogonal conjugate field of the Void and the integrated fabric of

space-time. This is analogous to summing the differentiated area of rectangles under a curve along the x axis in

Cartesian coordinates with respect to diminishingly small increments in the value of x in the calculus. There are

major differences, however.

represents a mass in relative motion in three dimensions with respect to a stationary frame of reference A given by

the origin of the coordinates. The y axis represents the quantum energy equivalent associated with the moving

mass represented by the x axis.

The origin of the x and y coordinates can be assigned the value 1,1 since any point in A is relatively stationary with

respect to every other point in A and thus A is fully synchronous with itself. Every unit mass in the inertial frame of A

has a one-to-one mutual correspondence. If a second frame of reference “B” is stationary with respect to A then its

historic coordinates will also coincide. See Figure IV-1.

It should be noted that historic coordinates have no universal origin at a unique point in space and time. In this

respect they are generalized coordinates that can be used to designate relationships between any two inertial

systems.

It should especially be noted what the designated origin at A means by being 1 unit along the abscissa and 1 unit

along the ordinate. This defines it as an inertial frame of reference that is stationary and thus synchronous with

itself because all atoms in A are synchronously linked by light without space-frame skipping. The distance light can

travel in each space frame is c. Light defines space relative to each atom in each space frame.

This means that the unit distance along the x axis represents the distance light can transmit in each space-frame

relative to each atom, which defines a primary interval of time relative to each synchronous atom in A. This is a

universal ratio that can be translated into classical units of time and space.

Each quadrant of the historic coordinates thus represents a complete space-frame along the x axis and its

corresponding quantum frame along the y axis. For example if a particle could move at the speed of light relative to

A then each quantum jump would be one unit in a negative direction along the x axis to x=0. Each quantum jump in

position would be the distance light can travel in a primary interval of time. Since a primary interval of time is 1.519

x10^-16 seconds the corresponding unit distance that light can travel in a single space-frame is 4.554x10^-8

meters.(6) Travelling at the speed of light the unit mass would disappear relative to a stationary observer at the

origin A while its quantum energy equivalent would double. The particle would jump to position 0, 2 on the historic

coordinates.

The unit value of the ordinate of A along the y axis thus defines a quantum energy equivalent to atomic mass in a

space-frame together with a quantum equivalent of the distance light can transmit in a single space-frame. This

means that the quantum energy equivalent of a mass at A, represented by the ordinate y=1, is equivalent to the

designated mass at A, represented by the abscissa x=1, times the square of the speed of light. E=mc^2. The

square of the speed of light is represented by the square area of unit dimensions defined by the coordinates of A at

the origin 1, 1.

The origin at point 1, 1 represents the historically integrated mass-energy of any mass in A, over any span of

space-time, because there is no relative motion within the inertial frame of A.

Figure IV-1

Relative Motion and Relative Space Frame Skipping:

link up all the synchronous space-frames in A with those in B because of its motion so some are skipped in A

relative to B, even though A remains fully synchronous with itself. There is a consequent displacement of B some

negative distance along the x axis relative to A. This represents a discrepancy in the number of mutually

synchronous space-frames between B and A with respect to those of A that are synchronous with itself.

The y axis represents the conjugate field of the Void. The y axis does not represent a complex plane but a

conjugate field that is spatially indeterminate and timeless. It nevertheless consists of timeless quantized energy

equivalents of atoms together with associated quantized elements of space that mirror corresponding spatial

relationships in each space-frame.

The rate of space-frame skipping represented as a change in x of B in a negative direction along the x axis thus

introduces orthogonal accumulations of the quantized energy equivalents of the atoms in B with respect to A. If the

motion is constant this accumulated energy equivalent is constant. It can be represented by a single point on the 45

degree diagonal above the negative x axis, as shown in the upper left quadrant of Figure IV-1.

Relative rates of space-frame skipping associated with relative rates of quantum jumps in position with respect to

the x axis also represents a contraction in relative linear space in B as perceived from A. This is represented by the

remaining synchronous frames that are not skipped in A relative to B.

observed skipped from the perspective of A on the space-frame side is proportional to the relative motion of B as a

fractional ratio to the speed of light c. Space frame skipping is directly proportional to v/c, since c has a constant

relationship to each atom in each space-frame.

The quantity v/c is thus a direct ratio of space-frames skipped in the inertial system A with respect to the inertial

system B. Light can not fully bridge the quantum jumps of B with respect to A so space frames in A are skipped to

compensate. As a result A observes a contraction in B in the direction of travel. The proportion of space frames not

skipped from the perspective of A between A and B is thus 1- v/c. This quantity is represented by a single discrete

increment in the abscissa to -x1 at B as shown in Figure IV-1

From the standpoint of A there is also a correspondingly equal relative accumulation on the quantum frame side of

B that is equivalent to 1+v/c. This quantity quantum energy is represented by a single discrete increment in the

ordinate to +y1 that is the equivalent to the increment in the abscissa.

The increment along the abscissa times the increment along the ordinate represents the historic integration of A

and B. It defines a square between the integrated fabric of space on the space-frame side of System 3 and the

corresponding orthogonal Void on the quantum frame side consistent with E=mc^2. This square relationship

represents the historic integration of A and B, since the orthogonal Void integrates the history of change that has

taken place on the space-frame side. In other words the square represents the degree of mass-energy

synchronicity between the space and quantum frames of B relative to A.

The perspective of a stationary observer in B can also be represented at the origin 1, 1. This gives a similar result

in the opposite direction along the diagonal in the lower right hand quadrant, by the shift in the relative position of A

to x2, -y2.

In either case the historic integration is represented by the area of this conjugate square. It is given by:

(1+v/c)(1-v/c) = 1-(v/c)^2.

The projection of the square onto the space frame side only of either A or B is thus given by the square root of

1-(V/C)^2 = (1-(v/c)^2)^1/2. This is so because the conjugate timeless and boundless Void is orthogonal to the

integrated fabric of space-time.

This quantity is a universal transformation factor from the inertial system of A to that of B, or vice versa. It

represents the degree of relative space frame-skipping and corresponding quantum frame accumulation as it

applies to mass, as well as to the integrated fabric of external space relative to each atom, and to relative time, in

one inertial system as compared to another.

The internal spatial relationships of electron orbits within neutral atoms are not affected since space-frames

associated with the projection of each atom are either skipped entirely or not at all. Atoms are not flattened in the

direction of travel. System 3 resolves this enigma in current relativity theory. Inner space is distinct from external

space.(7)

With respect to mass, the space-frames of an observer at A are skipped relative to a moving mass in B, such that

the observed mass M in B carries with it a relative accumulation of quantized energy that effectively increases its

relative instantaneous mass M according to the formula M=Mo/(1-(v/c)^2)^1/2, where Mo is the rest mass.

With respect to linear space L in the direction of motion of B with respect to A the contraction of length L

associated with skipped space-frames in A with respect to B is given by L= Lo(1-(v/c)^2)^1/2. The relative length of

a static dimension in the inertial frame of B is shortened in the direction of B’s motion because space-frames in A

are skipped relative to it. With fewer synchronous frames between them A sees B shortened.

With respect to the internal frequency of a clock associated with the degree of synchronicity remaining between A

and B the frequency of the clock ticks T in B are retarded with respect to those in A according to

T=To(1-(v/c)^2)^1/2.

These are the same as the Lorentz transformations between any two inertial systems moving with constant relative

velocity with respect to one another.(8)

Note that although there is a relative skipping of space-frames the space-frames not skipped are nevertheless

mutually synchronous. This is another inconsistency with current relativity theory. There is such a thing as

simultaneous events whether this can be determined by measurements in space-time or not. Einstein dispensed

with simultaneity.

coordinates of B along a diagonal through A. The size of the incremental jumps will depend on the rate of

acceleration and each increased quantum jump in B represents a corresponding force that is the equivalent of one

or more discrete skipped frame sequences. Force, like space and time, is also quantized. Force exerted in the

integrated fabric of space-time is the conversion of mass-energy in skipped space-frame sequences into

acceleration.

If we take a look at Newton’s second law of motion F=ma, we see that the units of force are essentially the same as

the units of mass.(9) The discrepancy in units between the two sides of the equation is unit distance per second

per second. Given that space is quantized according to the distance that light can travel in a primary interval of

time, acceleration thus represents a progression in the rate of space-frame skipping between the body accelerated

and the stationary frame of reference. Mass is converted to energy that becomes translated as a force within the

space-time fabric of the stationary frame of reference.

For example we burn fuel to accelerate a car or a rocket ship and the combustion products weigh slightly less than

the reactants by the amount of energy needed according to E=mc^2. At normal rates of acceleration that we

experience this mass discrepancy in the frame of reference is very small. At relativistic velocities approaching the

speed of light it becomes very large. Whatever the case it represents the conversion of skipped space-frames

associated with mass into energy translated as a force of acceleration.

As B is accelerated toward light speed relative to A at the origin, it moves on a 45 degree diagonal through A,

upwards to the left. That is, it moves in a negative direction along the x axis toward a zero point, while also moving

in a positive direction along the y axis toward the value 2. The reverse is true of A from the perspective of B. This is

illustrated by lower right hand quadrant of the relative box in Figure IV-1. With acceleration the relative box

expands toward the world box. On a cosmic scale indicated by the world box there are differences indicated

between A and B as a reference frame, even though the Lorentz transformations equally apply.

In other words, as a reference atomic mass in B approaches the point of disappearing with respect to one in A

there is a corresponding doubling of quantum energy associated with the atomic mass of B in the orthogonal

quantum field of the Void, as indicated by the upper left hand quadrant of the world box. From the perspective

of A at the origin, A remains synchronous with itself and it takes infinite energy to accelerate B to light speed as A

approaches zero relative to B.

With respect to B, A effectively moves along the diagonal in the lower left hand quadrant of the world box toward

the point 0, 0. B disappears with respect to A and vice versa. But the world box indicates that with respect to B

there is only a doubling of mass-energy in the quantum field of the Void relative to A. This conservation of the total

mass-energy of B with respect to A is thus illustrated by diagonals in both left hand quadrants of the historic

coordinates.

While constant relative velocity is a succession of constant jumps in position that involves no energy input in a

frictionless environment, acceleration within a relatively stationary inertial frame of reference does require energy

input. A frictionless rocket ship traversing interstellar space must expend energy of some kind to accelerate. The

energy is translated via the Void to increase the magnitude of quantum jumps in position from space-frame to

space-frame as it moves along the diagonal. Like all relative particulate motion, acceleration occurs in discrete

increments however it involves an increasing degree of relative space frame skipping that involves mas in reflux as

energy.

This implicitly requires that there are fundamental differences between forced linear acceleration within the context

of a stationary inertial frame of reference and gravitational acceleration on a cosmic scale. Gravity and acceleration

are not equivalent. This is inconsistent with another cornerstone on which General Relativity theory is erected in

addition to the assumption of a spacetime continuum.

origin. Then the expansion of the relative box toward the world box accelerates A along the diagonal in the lower

right quadrant of the world box toward the position 2, 0. From the standpoint of B there is a doubling of space

frames in A even though there is a relative vanishing of related quantum frames. It can appear to B that A can

accelerate unimpeded to light speed and vanish without trace. An event horizon swallows A in a singularity from the

standpoint of B. But mass-energy conservation requires that B effectively moves along the diagonal in the upper

right hand quadrant of the world box towards a relative doubling of both space and quantum frames at 2, 2. The

right hand half of the historic coordinates is thus the reciprocal of the left hand half.

We thus find that although the Lorentz transformations apply equally between different inertial systems, there can

be reciprocal relationships between them on a cosmic scale as illustrated by the world box. In practical terms this

requires that there must be a universal frame of reference associated with a preponderance of synchronicity in the

universe as a whole. Since all matter in the heavens is in a perpetual state of cyclical motions within cyclical motions

this necessarily introduces a family of quantum forces to accommodate relative space-frame skipping on several

cyclical levels in such a way as to preserve synchronicity with the universe as a whole. The universal set of System

3 requires universal coherence with all particulate matter. And there must be coherence for us to observe

phenomena in a coherent way.

force of attraction proportional to the product of their masses and inversly proportionate to the square of the

distance between them.

System 3 relates Newton’s law to the synchronous projection of atomic space-frames everywhere at once from

quantum energy equivalents of atoms that are integrated as one in the orthogonal Void. The quantum side is the

reciprocal of space-frame side. This synchronous recall of independent atoms into particulate form also generates

a reciprocal relationship between the spherical inner space of each atom and linear external space between

separate atoms.

In this compound situation two masses

separate. They are simultaneously both at once since each recall of a space-frame from the Void defines one

primary interval of linear time. The two masses will be impelled to bridge this discrepancy between union and

separation. This represents a force of mutual attraction that tends to contract the reciprocal external space

between them.

Historic integration involves integrating space frames and conjugate quantum frames. This is a square relationship

even in a single primary interval of time. The two masses are projected together from their quantum equivalents at

the same time. The space-frame of one mass exists in the same primary interval of time with the quantum frame of

the other and vice versa even while they are both one in the quantum frame and separate in the space-frame. That

is what the integration of the square means. If the two masses are two identical atomic masses the attractive force

will be proportional to m^2. If the two masses are different one will be heavier by some multiple of the other so the

square will simply be represented by the product of their masses. The attractive force will be proportionate to

A similar but reciprocal relationship exists between their separation in external space relative to atomic inner space

and also to the conjugate quantum equivalent in the Void. The integration as it relates proportionately to the

gravitational force of attraction is the reciprocal square relationship

of a single space and quantum frame gives Newton’s universal force of gravitation

constant for dimensional consistency.

Gravitational force is a static force of attraction in each space frame. It does not result from the conversion of

skipped mass as energy translated into a force of linear acceleration over a succession of space frames as in

Newton’s formula F=ma. It is not the same as burning fuel to accelerate a car. Gravitational force is spontaneous.

If two masses are mutually restrained as when a person is standing on firm ground the force is constant and

measured by the person’s weight. If the person falls from a cliff the person accelerates frame by frame and yet

remains synchronous with the planet Earth so far as their mass is concerned. The skipped space frames

associated with the person’s gravitational acceleration are external space-frames. They are not synchronous

atomic space-frames that define the person’s inner mass. The person is projected still space-frame by still space-

frame synchronous with the planet.

The gravitational force of attraction increases little by little in each successive frame as the person falls because

the distance of separation is being reduced. Over such a short distance the increase in gravitational force is

negligible and the person’s inertial and gravitational mass remain the same, as Einstein assumed.

On a cosmic scale gravity applies to the preponderance of synchronous mass and its spatial distribution in the

entire universe. This is distinct from relative space-frame skipping due to linear velocities and forced acceleration.

Gravitational force is the reciprocal of force generated through the physical expenditure of energy that results in

linear acceleration.

In summary it can be said that gravity is associated with the primary projection of matter. The force of gravity

derives solely from the unity of the quantum sensorium or Void and it is related to the synchronous projection of all

matter everywhere at once.

This underlines the important distinction between forced acceleration within the integrated fabric of space-time and

acceleration due to gravity. Since gravity is associated with the synchronous projection of all atomic matter

everywhere at once there is no relative skipping of space-frames associated with matter itself. The inner space of

atoms is distinct from external space. Earth atoms are not skipped relative to the centripetal acceleration of atoms

on the moon due to gravity for example. Only increments of external space defined by the transmission of light in

space frames between the earth and moon are skipped. This curves the integrated fabric of space-time between

the earth and moon sufficiently to hold the moon in its orbit. In the local environment of the solar system the inertial

mass of the moon remains consistent with the gravitational mass of the earth and vice versa. There are important

differences with respect to galactic dynamics however.

in Paris and set it to swinging under the force of the earth’s gravity alone. It was shown that the arc of its swings

remained constant with respect to the “fixed stars,” thousands of light years distant, while the earth rotated beneath

it. This demonstrated that the inertial velocity of the earth’s rotation is something quite distinct from its gravitational

mass which is the same as its inertial mass in rotation. While motion of the pendulum is due to the gravitational

attraction between the pendulum’s bob and the earth, the arc of the pendulum’s swings is synchronous with its

spatial relationship to the universe at large and it remains unaffected by its proximity to the earth. General relativity

can not offer an explanation as to why this is so.

The reason is implicit in the discontinuous universe prescribed by System 3. Atomic mass together with associated

external space-frames are synchronously projected everywhere at once. Inertial velocity remains constant with

respect to the preponderance of synchronicity in the universe as a whole in the absence of a force to change it.

The gyro compass works on the same principle known as Mach’s Principle. It remains oriented in a fixed position

relative to the “fixed stars.” There is thus a clear distinction between gravitational mass and its inertial velocity, even

though its inertial mass may remain consistent with gravitational mass in our stellar environment.

considerations. Charge, like mass, derives from the linking up of particular centers in sets by the common universal

set of System 3. The Coulomb force, however, derives from the relationship of centers within sets, whereas

gravitational force derives from the relationship between separate particular sets.(10)

In each atomic space-frame, the Coulomb force is a static force like gravity. It is the force of attraction between

electron and proton that holds the electron in orbit as it moves but the orbital motion of the electron is a series of

quantum jumps in position between a succession of space-frames. There is no motion in a primary interval of time,

and thus no energy loss due to radiation.

The Coulomb force is directly associated with the countercurrent identities of the universal set as it tunnels through

the particular centers of each particular set to intimately link them as a whole atom in each space-frame. On the

quantum frame side the charge becomes coalesced as one within the quantum photon energy equivalent of the

neutral atom. There is thus a conjugate relationship between the space and quantum frames that is similar to that

of gravity.

So the charge is both separate and distinct between electron and proton in the space-frame, and coalesced as one

in the corresponding quantum frame in the same primary interval of time that defines the inner spherical space of

the atom. The Coulomb force is impelled to bridge this difference between union and separation. It results in a

centripetal force of acceleration between electron and proton in the internal spherical space of the atom that

counterbalances the inertial tendency of the electron as it orbits in quantum jumps around the much heavier proton.

This is structurally self-similar to the external Gravitational force between massive aggregations of separate atoms

in suns, planets and moons.

Since historic integration defines a square relationship between the space-frame and the quantum frame even in a

single primary interval of time, the Coulomb force is directly proportional to the square of the electronic charge, and

inversely proportional to the square of the radius of the electron orbit that specifies the inner distance between

electron and proton. This is the same form as Newton’s law of gravity.

radius of specific electron orbits. If the photon energy of the atom exceeds the ionization limit that defines the

maximum coherent radius of an atom the electron becomes ejected from the spherical inner space into the linear

external space between atoms.(11)

It becomes a free electron and the charge between it and its proton partner persists in accordance with Coulomb’s

law. The electron and its proton partner are still intimately linked by the universal set that tunnels through them, but

now the countercurrent identities R1 and R2 of universal term 2 must span a succession of space-frames to link

them. (See System 3 page.) It must do so since proton and electron are timelessly coalesced as one in the

conjugate quantum frames.

The lines of force of electromagnetic fields are defined by this spanning of space and time between electron and

proton required by the countercurrent identities of the universal set. The active interfaces of the universal set

remain confined within the particular centers of each particular set but the particular photon energy interface must

also span the successive frames. This requires that the countercurrent identities must carry with them specific

quantized amounts of photonic energy in each space-frame consistent with the conjugate energy equivalent in the

quantum frame. This generates electromagnetic waves that transmit at the speed of light consistent with Maxwell’s

equations.

When an alternating charge is induced in a transmitting radio antenna wire an electromagnetic wave radiates

laterally away from it at the speed of light. The intensity of the wave determines its amplitude. The electric

component of the amplitude is orthogonal to the direction of travel but oscillates parallel to the alternating direction

of the electric charge in the antenna. The magnetic component of the wave oscillates perpendicular to the electric

component.

The reciprocal relationship between space-frames and conjugate quantum frames becomes mirrored in the

orthogonal relationship between the electric and the magnetic components of the transmitted electromagnetic

wave. The two components of the waves are in phase because each primary interval of time includes the space-

frame component with the conjugate quantum component. The electric component corresponds to the space-frame

and the magnetic component to the quantum frame. The latter must be represented on the space frame side

because the universal set is required to span successive increments of space-time in linking up electron and

proton.

The two components of the wave are mutually orthogonal because the quantum and space-frames are orthogonal.

The wave represents the stretching out of the charge relationship in the spherical inner space of the atom into

linear external space. This drags with it the orthogonal magnetic component associated with related quantum

frames in spanning increments of space and time. Note that inside the atom there is no magnetic component

produced because the electron does not move with respect to the proton. The whole atom is synchronously

projected as a series of still frames and the electron only jumps between frames.

The reciprocal product of the permittivity and the permeability of free space 1/εμ is equal to the square of the

speed of light because it has a reciprocal relationship to the square defined by the historic coordinates between

each space and conjugate quantum frame in each primary interval of time. The electromagnetic wave is

superimposed on the integrated fabric of space-time which is itself defined by the transmission of light space-frame

by space-frame. The linear propagation of the wave in external space is orthogonal to the circular motion of the

electron frame by frame with respect to the proton in the inner space of the atom.

It is noteworthy that Maxwell believed that field lines represented elastic distortions of the ether that was believed at

the time to fill all space, including vacuum. In this limited respect the ether might be taken to correspond with the

boundless, timeless, and spatially indeterminate Void. The stretching of the countercurrent identities of the

universal set to span a succession of space frames might be taken to correspond to his intuitive notion of elastic

distortions.

stars from flying tangentially off into space under their own inertial momentum. A force of acceleration toward their

center must be synchronously active over time.

We thus have an effect in the relative rotation of galaxies where each star system can be represented by a point B

with respect to the galactic center at Point A on historic coordinates. The acceleration of stellar populations toward

the center contracts space toward the center with respect to the periphery.

Since the gravitational acceleration does not in itself introduce relative skipping of atomic mass space-frames, but

preferentially skips external space-frames between atomic or stellar masses, quantum forces are necessarily

introduced that account for stellar formation and migrations of stellar populations. This relative contraction of space-

time nearer the center requires matter to condense into stars that fuse space-frames of atomic mass into heavier

elements that contract space to suit the local environment of space-time. This curvature of the integrated fabric of

space-time also introduces a quantum force that results in the migration of younger stars toward the periphery and

dense old stars back toward the center.

On a cosmic scale, however, represented by the world box, space frame skipping can proceed without limit. The

continual acceleration of the whole stellar population of a galaxy toward the center moves point B for the whole

population diagonally up to the left toward the value 0 on the x axis and toward the value 2 on the y axis of the

historic coordinates with respect to A at the center. At this point the value 2 represents an energy equivalent of the

mass of the stellar population accumulated in the Void with respect to the galactic center which has ceased to exist

relative to the whole stellar population. There is a black hole at the galactic center that represents a singularity

common to all galactic centers.

The upper left hand quadrant of the historic coordinates has a complementary relationship to the lower right hand

quadrant. If we take B to represent the whole stellar population of a galaxy synchronous with itself at the origin of

the coordinates we find that old stellar masses migrating back to the center lose their quantum energy equivalents

as they approach the speed of light. B then represents the preponderance of synchronicity in the universe as a

whole and old stellar masses move into the lower right hand quadrant of the coordinate system. As they accelerate

around an accretion disc at the center they lose their associated quantum energy equivalent to the Void. There is

no directly associated accumulation of quantum energy to prevent them reaching light speed and disappearing

completely beyond an event horizon at the center. This is consistent with a growing body of empirical evidence.

This singular condition in black holes is shared by galactic centers. It is associated with the primary synchronous

projection of primary hydrogen in the universe as a whole. There is a generalized accumulation of quantized energy

in the Void associated with the reflux of old stars back to the black hole that must be periodically released as a new

generation of primary hydrogen emitted as efflux from the center. This is represented by the upper right hand

quadrant of the historic coordinates. The accumulated doubling of both space-frames and quantum frames builds

to restore the black hole to a synchronous condition with the universe as a whole. This finds expression in the

periodic emission of primary hydrogen outward into the galactic disc. The heavy elements fused in stellar centers

are regenerated back to primary hydrogen.

Each new generation of primary hydrogen is impelled to move outward from the center with star formation within it

to compensate for the spatial contraction near the center. As old stars contract space through the fusion of heavier

elements they are drawn back in toward the center to maintain synchronicity, and are eventually accreted back into

the black hole as they approach light speed. The cyclic birth, death and regeneration of stellar populations is

eternally repeated in this way.

Since the relative angular velocities of galaxies regulate stellar migration rates with respect to one another as a

whole on a cosmic scale, gravitational acceleration is regulated as well. Relative rates of stellar formation and reflux

are regulated accordingly. If reflux rates are very high this can result in highly active galactic nuclei with jets of

material being ejected axially at high velocities orthogonal to the accretion disc to compensate. This can act as a

brake over time, to preserve synchronicity with the universe as a whole.

It should be emphasized here that matter is not at the unrestrained beck and call of gravity on a cosmic scale.

Quantum forces introduced by relative angular motions moderate and regulate linear motions to preserve a

preponderance of synchronicity with the primary projection of matter in the universe as a whole. Stellar motions

tend to retain their collective spatial integrity because of the requirement for coherence with the universal set. This

places galactic stellar masses in tensional contact with one another. There is no “missing mass” but quantum forces

can qualify as “dark energy.”

From this brief overview it should be clear that System 3 necessarily implicates the regeneration of stellar

populations and a variety of other effects that are not currently recognized and that allow mathematical treatment.

In the next chapter the foundations of atomic structure and quantum mechanics are reviewed in a cosmic context,

taking into account the structural dynamics of System 3.

even though they have been used in the most fundamental formulae of physics.

The first kind of identity will be called Aristotelian Identity. It is the identity that we are most familiar with and that

mathematics primarily depends upon. It equates separate things and numbers of things that are perceived as

identical in space and time. Ten goats are the quantitative equivalent of ten fingers. One goat is identical with

another, and so on. Rules of syllogism and algorithms develop accordingly. It may be noted that mathematics

begins with the invention of numbers. The Idea of ordinary counting depends on the Routine of adding one more to

give the Form of the succeeding number, consistent with the hierarchy of System 3. Although numbers

quantitatively equate separate things each number also has a qualitative aspect that defines it as a unified whole.

(12, 13) This is analogous to the space and quantum frames of System 3. Also the square of any number is equal

to twice the sum of all the digits up to the quantum frame that qualitatively defines the last number in the sequence,

similar to historic integration.(14) This is consistent with the second kind of identity.

The second kind of identity we have called Conjugate Identity. It is the orthogonal identity between space and

quantum frames represented by the historic coordinates. These identities creep in unnoticed to the formulation of

our most fundamental laws of physics. This will be demonstrated in the next chapter with Louis de Broglie’s

derivation of his wave equation for matter.

The third kind of identity can be called Triadic Identities. They relate to the way the countercurrent identities of the

universal set intimately link up the three particular centers of each particular set. Quark theory and quantum

chromodynamics makes use of triadic identities to some extent.

transmission of light. Since motion relative to the ether could not be detected, Einstein set the question aside,

simply asserting that the velocity of light was universal.(15) His Special Theory of Relativity was thus preferred over

the equivalent, but twice amended, ether theory of Lorentz-Fitzgerald and Lorentz-Larmor, to account for spatial

contraction and time dilation with respect to the ether.

In his thorough review of the matter, Adolf Grünbaum points out that the philosophical preference for Einstein’s

theory stems from the fact that it refuses to postulate a preferred ether frame of reference when there is no

physical foundation for doing so. He also points out that the General Theory of Relativity fails to incorporate

essential features of Mach’s program, that it fails to repudiate the concept of “absolute space,”(presumably

meaning the ether).(16)

Dirac also indicates that the original ether theory can play the role of the perfect vacuum of special relativity since

quantum mechanics allows the assumption that all values of the velocity of the ether are equally probable. Einstein,

however, remained adamantly opposed to the direction that quantum mechanics took until the end of his life.(18)

For Einstein, de Broglie, and others, the point of departure was Heisenberg’s principle of indeterminacy. At 23,

Heisenberg, working as Max Born’s assistant, had found a mathematical rule in quadratic arrays. Max Born writes:

.

definite rule of multiplication. I applied this rule to Heisenberg’s quantum condition and found that it agreed for the

diagonal elements. It was easy to guess what the remaining elements must be, namely, null; and immediately there

stood before me the strange formula:

What does this unusual equation mean? There is a difference in the product of p and q that is dependent on their

order. Dirac saw that the dominant characteristic of Heisenberg’s theory was that it contradicted the commutative

axiom of mathematics.(20) Why?

To answer this question we may look to System 3 again. Relative position is given in each space frame, changes

in position being effected through a series of quantum jumps in position from one space frame to the next.

Momentum, by its nature, depends on changes of position between space frames. Momentum may therefore be

measured between space frames immediately prior to, or immediately following, the space frame in which position

is determined. It depends on the order in which the measurements relate to one another. The relative

indeterminacy of the two is therefore a function of the recurrence of space frames given by the universal quantum

of action in the expression ih/2pi.

Since we obviously observe that physical forms cohere as integral wholes, it must follow that the universal quantum

of action is synchronous with respect to the material content of the universe as a whole.

Now the pieces fall into place. Einstein has his way that God does not play dice with the universe, but space and

time are discontinuous, invalidating most of his relativistic assumptions. And Heisenberg has his way that position

and momentum are not simultaneously knowable, but the rules of roulette do not govern the universe.

If one wants to consider that relative motions occur with respect to an omnipresent ether, then the ether is the

quantum sensorium, the Void, and it is spatially indeterminate, not allowing of measurements of motions relative to

it. Yet the Void provides a basis of historic integration that is not reducible to a linear series of local physical

influences. The universal set as it relates to the Void is the implicitly discretionary means through which experience

is hierarchically integrated. As intelligent beings we are products of the higher systems as elaborations of Systems

2 and 3 and we are synchronous with the physical projection of the universe according to System 3. It is through

our relationship to the same universal hierarchy and its elaborations in higher Systems that gives us access to the

Void and allows us to span space and time, in this remote corner of the universe, to observe the whole of creation.

Where does this leave us from the standpoint of having pragmatic theories with which to cope intelligently? Special

Relativity remains reasonably intact, albeit with a very different interpretation attached. General Relativity does not

fare as well, nor do the cosmological models associated with it. Space and time cannot be considered an a priori

continuous field as a thing independent from the gravitational mass which conditions its curvature. There is no such

independent thing as a spacetime continuum. There are alternate explanations for the Red Shift in the spectra of

distant galaxies, and also for the cosmic background radiation, both of them consistent with the System and more

credible in the light of all the other evidence. Quantum theory remains partially intact, but with the conceptual

nature of the quantization of all experience vastly modified in such a way that a self consistent Quantum Relativity

emerges naturally.(21)

Whatever apparent damage the System may do to existing scientific frameworks of understanding, it mends much

more than it tears, and it offers a great deal more besides. It offers us an insight into the nature of intelligent

systems, a new family of quantum forces, and completely new perspectives to explore in astrophysics and

cosmology. The higher Systems offer challenging new insights into biological systems, how they are organized and

work, with the attendant hope that we can better come to understand our place in the cosmos and how better to

organize our affairs accordingly.

- The Void is directly accessible in human experience. As human beings we too are required to span and

integrate history in order to cope in a practical way with phenomenal experience. The Void is associated

with our conscious intensions. We recall and re-assimilate elements of past experience in order to formulate

plans that anticipate a future result. - This will be shown in the next chapter.
- At least five methods have been proposed to detect gravitational waves: resonant bar detectors on Earth,

laser interferometers on Earth, space microwave interferometers, laser interferometers in space, and

Doppler tracking in space. Ciufolini and Wheeler, Gravitation and Inertia, Princeton University Press, 1995. - The calculus assumes that space and time are continuous, allowing of infinitesimal increments. It is

noteworthy that George Berkely refuted Newton’s theory of fluxions over this issue in the Analayst, 1734.

Luce, A. A., and Jessop, T. E., Eds., The Works of George Berkeley, Bishop of Cloyne, 9 Vols., London and

New York, 1948-1957. - In is interesting that the concept of the boundless was expressed by the Milesian philosopher Anaximander

as the source of the world in the sixth century BC. The First Philosophers, translated by Robin Waterfield,

Oxford University Press, NY, 2000. - This will be shown in Chapter V.
- In developing his initial theory of the atom when working with Rutherford, Neils Bohr arbitrarily stated that

some of the classical laws of physics do no apply within the atom. This remarkable statement requires that

the inner space of the atom is distinct from external space. We will return to this in the next chapter. - The arguments advanced by Lorentz (and independently by Fitzgerald), that the phase differences of light

to be expected in the famous experiments of Michelson and Morley can be compensated by changes in the

relative dimensions of the arms of the interferometer apparatus, is similar to but not identical to a relative

skipping of space frames between the two orthogonal arms. Michelson and Morley, American Journal of

Sciences, 34, 1887, p. 333; Phil. Mag., 24, 1887, p. 449. Lorentz, Arch, Néerl., 2, 1887, pp. 168-176.

Lorentz H.A., Michelson’s Interference Experiment, also Einstein A., On the Electrodynamics of Moving

Bodies, both in The Principle of Relativity, A Collection of Original Memoirs on the Special and General

Theory of Relativity, Methuen, London, 1924. Also Planck, M., Eighth Lecture (General Dynamics, Principle

of Relativity.) Eight Lectures on Theoretical Physics, Colombia University Press, 1915. - They were identical before the Newton was introduced to mask the difference in units.
- Dimensionless relationships between the atom and the universe at large have been suggested many times

in the past, together with various other dimensionless numbers. Sir Arthur Eddington was one of the earliest

enthusiasts, pointing out that the coulomb force and the gravitational force between the electron and proton

in the hydrogen atom differ in order of magnitude by a factor of about 1039 and this is approximately the

square root of the assumed number of particles in the universe. Sir Arthur Eddington, The Expanding

Universe, Cambridge University Press, 1933. - As pointed out previously, the duration of the primary interval of time, has a value of 1.519 x 10-16

seconds. This is also the time required for light to circumscribe the 12th shell of the hydrogen atom, the

shells being largest in hydrogen and the 12th being at an energy level close the limit of the ionization

continuum. Hänsch T.W., Schawlow A.L., Series G.W., The Spectrum of Atomic Hydrogen, The Laureates’

Anthology, Vol. II, Scientific American, 1991. The primary interval of time is derived in Chapter V, where it is

shown to be related to the red shift of distant galaxies and also to the cosmic background microwave

radiation. - Bertrand Russell attempts to define number in, Introduction to Mathematical Philosophy, Touchstone Books,

NY, 1971. After some discussion of “primitive” concepts and classes, he defines number as follows:*The**number of a class is the**class of**all those classes that are similar to it.**...In other words, a number (in**general) is any collection which is the**number of one of**its members; or more simply still:**A number is**anything which is the number of some class.**Such a**definition has a verbal**appearance of being**circular, but in fact it is not... This kind of procedure is very common and it is**important to recognize that it**is**legitimate and even often necessary.**"*The difficulty which Russell has in defining number stems from the

recurrent character of the primary activity, alternately representing number as a particular quantity and

then as a universal quality. By the word ‘class’ he clearly intends a unifying quality which defines the

quantitative number. - Dirk J. Struik points out: “Greek mathematicians made a distinction between ‘arithmetica’ or science of

numbers (arithmoi ) and ‘logistics’ or practical computation. The term arithmos expressed only a natural

number, a ‘quantity composed of units’ (Euclid, Book VII, Def. 2; this also meant that ‘one’ was not

considered a number)... This lasted until the Renaissance. Stevin, in his arithmétique of 1585, pleads

passionately for the recognition of ‘one’ as a number like other integers.” Dirk J. Struik, A Concise History of

Mathematics, 4th Ed., NY, Dover, 1987, p. 60. - In 1888 Richard Dedekind writes: “...it appears as something self-evident and not new that every theorem

of algebra and higher analysis, no matter how remote, can be expressed as a theorem about natural

numbers,—a declaration I have heard repeatedly from the lips of Dirichlet. But I see nothing meritorious—

and this was just as far from Dirichlet’s thought—in actually performing this wearisome circumlocation and

insisting on the use and recognition of no other than rational numbers.” Dedekind R., The Nature and

Meaning of Numbers, Essays on the Theory of Numbers, English translation first published by The Open

Court Publishing Company (1901), NY, Dover, 1963. - Einstein, A., On the Electrodynamics of Moving Bodies. Ibid.
- Grünbaum, A., Philosophical Problems of Space and Time, NY., 1963; Grünbaum, A., The Bearing of

Philosophy on the History of Science, Science, 143, 1406, 1964; Grünbaum, A., Relativity Theory,

Philosophical Significance of, The Encyclopedia of Philosophy, Vol. 7, NY., Macmillan, 1967. - Dirac, P.A.M., Is There an Aether? Nature, 168, 906, 1951.
- In a letter to Born in 1947, concerning Quantum Mechanics, Einstein wrote, “ I cannot seriously believe in it

because the theory cannot be reconciled with the idea that physics should represent a reality in time and

space, free from spooky actions at a distance.” He was convinced that the “‘old one’... is not playing at

dice.” The Born-Einstein Letters, translated by Irene Born. Walker, New York, 1971. This famous objection

was formalized in a paper, A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935). Experiment

did not substantiate his objection, thus indicating action at a distance in some sense that is better

interpreted as quantum correlation. Objections to a probability approach have been expressed by David

Bohm for many years. Bohm, D., Quantum Theory, Prentice-Hall, Englewood Cliffs, New Jersey, 1951.

Albert, D.Z., Bohm’s Alternative to Quantum Mechanics, Scientific American, May 1994, Vol 270, No 5.

System 3 provides a mechanism for quantum correlation via the universal set. In doing so, System 3 is not

consistent with a blind probabilistic interpretation of reality, so that it contains elements of both sides of the

argument. - Mehra, J., and Rechenberg, H., The Formulation of Matrix Mechanics and its Modifications, The Historical

Development of Quantum Theory, Vol. 3, NY., Springer Verlag, 1982. - Dirac, P.A.M., The Development of Quantum Theory, NY., Gordon and Breach, 1971.
- There are aspects of this that are similar to David Bohm’s conception of wholeness and the implicate order,

for that could be taken as an apt description of the System. He too is speaking of the cosmic order,

although some of his views diverge from those expressed here. Bohm, D., Wholeness and the Implicate

Order, London, Routledge and Kegan Paul, 1980.

This page revised February 19, 2016