**SECTION 9: NOETHER'S THEOREM
AND EINSTEIN'S INTERVAL**

(revised May, 2011)

JOHN A. GOWAN

email:

jag8@cornell.edu

johngowan@earthlink.net

home page (page 1)

home page (page 2)

E-Book

*The Charges of Matter are Symmetry
Debts of Light*

Discovering "Noether's Theorem" and the
principle of *symmetry conservation* was one of the two
keys that opened my personal understanding to the unification
theory. The second key was Einstein's statement that the
spacetime *"Interval" of light was equal to zero.*

Noether's theorem states that in a
multicomponent field, such as the electromagnetic field of light
(or the metric field of spacetime), where one finds a symmetry
one also finds an associated conservation law, and vice versa. I
soon came to realize that because matter is created from light,
this theorem means that any symmetry of light must somehow be
conserved in matter, and that (one of) the real world
consequences of Noether's Theorem was *the charges of matter
are symmetry debts of light*. Charge conservation
(including "spin") = symmetry conservation, in the case of the
electromagnetic field; in the case of the metric field of
spacetime, the physical consequence of Noether's theorem is the
presence of inertial forces and gravitation. The conservation of
"spin" (the quantized spin angular momentum of particles) seems
to be a mixture of the charge and inertial force cases. Because
the theorem works in both directions, any charge of matter must
be associated with a symmetry of light; and further, because
charges produce forces, gravity also must be the product of some
charge of matter, and therefore gravity presumably represents
some symmetry debt of light. In accordance with Noether's
Theorem, charges produce forces which act to return the
asymmetric material system to its symmetric origin in light. In
the case of gravity, we have the example of our Sun, the stars,
quasars, and Hawking's "quantum radiance" of black holes,
returning bound energy to its original symmetric state, light.

But what broken symmetry of light does gravity represent? What is the nature of the gravitational "charge"? For each of the four forces of physics, there must be an associated charge, and these charges are all (presumably) symmetry debts of light. When light is converted to matter, it loses a lot of symmetry - in fact, according to this line of thought, symmetries of at least 4 different kinds, each of which requires a different kind of conserved charge. The action of the force produced by the charge is therefore understood as the attempt to pay the conserved symmetry debt carried (represented) by the charge, returning the system to its original symmetric state (light), in obedience to Noether's Theorem. The electric charge is prototypical of this effect:

When light creates particle-antiparticle pairs, the particles are produced with opposite and strictly conserved electric charges, whose whole purpose is to produce a long-range attractive force between the particles with sufficient strength to produce an annihilation reaction within the Heisenberg time limit for "virtual reality", returning the particle pairs to the symmetric state of free energy which created them. Because the photon is the field vector (force carrier) of electric charge, we see light protecting its own symmetry in such matter-antimatter annihilations, which occur continuously in the "virtual particle sea", the Heisenberg realm of virtual reality.A pathway to the conceptual unification of forces therefore presents itself: identify the symmetries of light which the charges and forces of matter represent; all charges, forces, and particles have their origin in light, which becomes the principle of unification. The question becomes: what are the 4 symmetries of light represented by the 4 charges and forces of physics? This question is pursued (and answered) in the various unification papers, especially: "Symmetry Principles of the Unified Field Theory".

I like to think of Noether's theorem (1918) as the "Truth and Beauty" theorem, as it appears to be nothing less than the mathematical expression of Keat's famous poetic intuition: "Beauty is truth, truth beauty, - that is all ye know on Earth, and all ye need to know" (1819) - where conservation plays the role of truth, and beauty = symmetry. This is an outstanding example of the correspondence between the rational and intuitive powers and sensitivities of the human mind: neither one is to be slighted, much less dismissed.

The symmetry-conserving requirement of *charge
invariance* (and of "Lorentz invariance" in Special
Relativity) is the key to understanding the local action of the
forces, including the quantization of charge and other conserved
parameters. In the mathematical terms of Evariste Galois' "Group
Theory", the "Tetrahedron
Model" is a description of the symmetry group of
light, including its destruction by asymmetric weak
force decays (producing our matter-only Cosmos), and its
on-going restoration in obedience to Noether's Theorem
of symmetry conservation (as seen in the conversion of
bound to free energy in stars and many other astrophysical
phenomena).

**Einstein's "Interval"**

*The "Interval" of Light = Zero*

The second key in my understanding of the unification pathway was Einstein's mathematical statement that the spacetime "Interval" of light = zero. Einstein's "Interval" is an invariant measure of the "quantity" or "interval" of spacetime separating two events. The Interval is so mathematically formulated that it is invariant with regard to the relative motion of observers, and its chief role is to rescue causality from Einstein's shifting relativistic perspectives of space and time in moving frames of reference. Thus moving observers of two events will not agree, in general, on the space and time measurements separating those events, but they will always agree upon the mathematical product of those measurements when combined in Einstein's formulation of the "Interval". The invariance of causality depends upon the invariance of the Interval and the absolute (non-relative) velocity of light.

The zero "interval" of light means light is "non-local", having no time dimension and no spatial "x" dimension corresponding to length or distance - light's "clock is stopped" and meter sticks shrink to nothing in the direction of light's propagation. Light is a 2-dimensional transverse wave. Velocity c, the intrinsic motion of light, is a symmetry condition, drive, or "gauge" for light (free energy) which results in light's "non-local" character. The zero Interval of light is the formal (mathematical) expression of this fundamental symmetry of light, its "non-local" energy state. Several related symmetries flow from light's "non-locality": 1) light has no asymmetric time dimension; 2) light has no asymmetric (local) "rest" mass; 3) light produces no asymmetric gravitational field; 4) being non-local, with an infinite amount of time to go nowhere, in its own reference frame, moving at velocity c, light is everywhere within its conservation domain (spacetime) simultaneously.

The effectively "infinite" velocity of light results in another symmetry - the equitable distribution of light's energy throughout its conservation domain, everywhere, simultaneously - a symmetry of special significance for gravitation and matter's "location" charge. "Non-locality" also allows light, or velocity c, to act as the metric gauge of spacetime, including its inertial symmetry, regardless of the size or motion (expansion, contraction) of the domain. Non-locality has the further consequence of producing a condition of complete unity and connectivity between light and space throughout light's conservation domain of spacetime. It is the (broken) non-local distributional symmetry of light's energy which is the source of the gravitational "location" charge in matter. "Location", a charge whose active principle is time, identifies the spacetime location, quantity, and density of bound energy. Matter is an immobile and hence undistributed lump of concentrated mass or bound electromagnetic energy (E = mcc).

The connection between symmetry and entropy enters our theory with "velocity c", which is the symmetry gauge of free energy, banishing time, distance, mass, charge, and gravitation. "Velocity c" also gauges the entropy drive of free energy (the intrinsic motion of light), causing the expansion and cooling of light's spatial conservation domain - the Cosmos. This double gauge role of "velocity c" is reflected in the corresponding double conservation role of gravitation: gravitation produces the time dimension of matter, identifying the 4-D spacetime location of mass (light's distributional symmetry debt); the intrinsic motion of time also serves as the historical entropy drive of matter (light's "intrinsic motion" entropy debt). Hence gravity: 1) produces the time dimension of matter via the annihilation of space, conserving the spatial entropy drive of light's intrinsic motion as the historical entropy drive of time's intrinsic motion; and 2) converts bound to free energy (as in stars, quasars, and Hawking's "quantum radiance" of black holes) to conserve the distributional symmetry of light's non-local energy state. Because both light's entropy drive and non-local distributional symmetry are gauged by "velocity c", to conserve either function is to conserve the other by default. This has the significant consequence that gravity's entropy conservation role also falls under the symmetry conservation mantle of Noether's Theorem. Time is a charge with a symmetry conservation role - as demonstrated by gravity's conversion of bound to free energy in the stars. (See: "The Double Conservation Role of Gravity"; see also: "The Conversion of Space to Time".)

The "location" charge of gravitation carries both the entropy debt and the symmetry debt of light's non-local energy state; it is this double role that has made gravity such a difficult force to understand. The active principle of the gravitational charge is time; the one-way spacetime flow of gravitation is the consequence of time's intrinsic one-way motion into the historic domain of spacetime. It is the causal function of time that requires its one-way flow. See: Entropy, Gravitation, and Thermodynamics"; also "A Description of Gravitation".

Symmetry and entropy are connected in light because light occupies its conservation domain completely (space is actually created by the intrinsic motion of light), and the most symmetric dispersion of light within its domain also has the greatest entropy. However, entropy has a further component, temperature, such that while hot or cold light has the same symmetry, cold light has the greater entropy. Hence entropy rather than symmetry actually drives the expansion of space. None of these considerations apply to bound energy (matter), which does not occupy its conservation domain completely (historic spacetime), and does not participate in the expansion of either spacetime or history. It is because of these differing dimensional characteristics that the entropy drives of free and bound energy (the intrinsic motions of light and time as gauged by "velocity c" and "velocity T") are so vastly different in their entropic consequences and metric equivalence, a difference which we perceive as the anomalous weakness of gravitation. Bound electromagnetic energy (matter) is only tangentially connected to its historical conservation domain via the ephemeral "present moment". Gravity produces only enough time to provide the temporal entropy drive for this tangential point of contact between matter and history (actually seen as the area of the "event horizon" of a black hole). (See: "Proton Decay and the 'Heat' Death of the Cosmos".

Noether's theorem applies generally only to continuous parameters, such as space and time, and only in particular cases to discontinuous parameters, such as charge. Nevertheless, since charge conservation is well established both observationally and experimentally, it is very likely that the theorem applies also in the particular case of charge. If nothing else, this is the hypothesis to be advanced, and we make the case with numerous arguments throughout this and other papers on the website. (See: Neuenschwander, Dwight E.

In the terms of Evariste Galois' mathematical "Group Theory",
the "Tetrahedron
Model" is a qualitative description of *the symmetry
group of light*, or free electromagnetic energy.

**Overview**

Regarding the question of continuous symmetries in the "Tetrahedron Model":

1) From unknown origins (?inflation via the Multiverse?), the Universe begins in a state of perfect symmetry with equal parts of matter and antimatter (the "Big Bang" or "Creation Event"). Matter-antimatter symmetry is the primordial energetic state of the Cosmos; due to continual and instantaneous annihilation reactions, this primordial symmetric state is equivalent to pure high energy light (electromagnetic radiation). Total energy and charge is zero since the contribution of both from antimatter is negative. This primordial electromagnetic symmetry must somehow be broken to produce our asymmetric Cosmos of bound and free electromagnetic energy (matter plus light).

2) Maintaining the primordial symmetry of light is the role of
electric charge, as the opposite electric charges of matter vs
antimatter attract each other and motivate annihilation reactions.
Light is a perfectly symmetric energy form, carrying no charges,
having no time dimension, and having no "location" in space (since
in its own reference frame light is everywhere simultaneously).
Light is a "non-local" 2-dimensional transverse wave having no
spatial dimension in the direction of propagation nor any temporal
dimension. Light has no mass, produces no
gravitational field, and travels with an "intrinsic motion
c" which creates an expanding and cooling domain - the entropic
spatial conservation arena of free electromagnetic radiation. This
is the primordial symmetric energy state of light which electric
charge protects and conserves via matter-antimatter annihilation
reactions. Light exhibits a continuous "non-local" symmetry - like
space itself, it is globally symmetric everywhere, and any photon
(or wave of electromagnetic radiation) can be swapped for any
other. "Velocity c" is best conceived not as an actual velocity,
but as the gauge of the non-local symmetric energetic state of
free electromagnetic energy, including the metric symmetry of
space (created by light's intrinsic, entropic motion) in which
time, gravitation, and mass are banished ("mass" is a bound form
of electromagnetic energy with no intrinsic spatial motion;
instead, mass has intrinsic temporal motion, producing a
"gravitational field"). Light's "velocity" in its own reference
frame is essentially infinite, as it has forever to go nowhere
(time stops and meter sticks shrink to zero at "velocity c").
Light protects its own symmetric energy state via
matter-antimatter annihilations motivated by electric charge (the
photon is the field vector of electric charge). Electric charge is
"discrete" but the symmetry it protects is continuous; we know in
any case that electric charge is absolutely conserved.

3) Breaking the primordial electromagnetic symmetric energy state is the combined role of the strong and weak nuclear forces, which early-on work in concert to produce our "matter only" cosmos.

4) Restoring the symmetric energy state of light is the patient and inexorable role of gravity. Light's symmetric energy state is broken (due to the asymmetric activity of the two nuclear forces) by the creation (from light) of massive, local, temporal, and immobile matter. Gravity converts mass back to light in stars, quasars, and, via Hawking's "quantum radiance", in black holes. Gravity and its "location" charge are continuous to the extent spacetime is continuous. We also know the gravitational "location" charge is conserved, as no massive particle has ever been found without one; nor can a gravitational charge be destroyed except by total conversion of mass to light, which completely repays the gravitational symmetry debt or "location" charge. The gravitational "location" charge (Gm) is conserved to the same extent that mass (m) is conserved.

Because the gravitational metric of the black hole causes all things, regardless of mass, to move at velocity c, it is apparently just as symmetric as the original electromagnetic metric of light, which it replaces. "The extremes meet": perhaps this is why gravity drives so relentlessly toward the formation of black holes - they represent the ultimate symmetric energy state of matter. In any case, we expect black holes to be full of nothing but light, due to proton decay in the interior, perhaps in the extreme pressure of the central "singularity". However, the entropy drive of black holes, being contractile one-way time/gravity, is less symmetric than the entropy drive of space/light, which is expansive "all-way". Hence in accord with Noether's Theorem, black holes should eventually convert their one-way entropy drives to light's all-way entropy drive, and evaporate (Hawking's "quantum radiance").

(See: "A Description of Gravity"; see also: "The Conversion of Space to Time"; see also: "Nodes of the Gravitational Metric".)

**Symmetry Breaking**

3a) Breaking the primordial symmetry of light via the combined asymmetric action of the nuclear forces: the strong and weak forces act together. (See: "The Particle Table".)

In the bound energy (atomic matter) section of the "Tetrahedron Model",
we enter a more "discrete" area of physical theory, involving the
"identity"
and "color"
charges of the weak and strong forces. Both these charges,
however, conserve and protect continuous symmetries that
eventually refer back to spacetime and light, and the primordial
electromagnetic symmetry between matter and antimatter. When
considering "discrete" particles or properties of matter, we
should remember Heisenberg's Uncertainty Principle, deBroglie's
wave/particle relation, and Born's probabilistic interpretation of
Schrodinger's collapsed wave function - all of which suggest links
between so-called "discrete" particles and the continuous realm of
waves, spacetime, and light.

Symmetry-breaking begins when a primordial super-massive lepton -
a "leptoquark", the heaviest member of the leptonic spectrum of
elementary particles, breaks into three parts (quarks) under the
self-repulsion of its own electric charge, seeking a lower energy
distribution of its mass and electric charge. This
self-disintegration places a natural upper limit on the mass of
the elementary particle (leptonic) spectrum. Such a disintegration
is possible and permitted (lawful) only because the strong (color)
force is available to hold the fractured particle together into a
quark combination featuring a whole leptonic unit of electric
charge (the reassembled original charge) - such as a proton, or
else no charge at all (the quark combination of a neutron),
provided in the latter case the original electric charge can be
transferred to and conserved by some other member of the leptonic spectrum
(such as an electron).

The strong force "gluon" field springs naturally from the
splitting of the massive body of the leptoquark - gluons seem to
be versions of split photons (photons are the field vectors of
electric charge), apparently determined to hold the original
charge together as a whole quantum unit, at least as seen by the
outside world. (See: "The Strong Force:
Two Expressions".) Gluons attract each other and have been
compared to "sticky light", and exhibit "asymptotic freedom",
attracting each other more strongly as the quarks attempt to
separate, less strongly as they crowd together. (See:
Science 15 Oct. 2004 Vol. 306 p. 400) It all makes sense from the
perspective of symmetry conservation, as these whole unit charges
are necessary for cancelling, neutralizing, or carrying the
charges of other members of the leptonic elementary particle
spectrum, or annihilating the opposite charges of antimatter. The
strong force protects the global and continuous symmetry of whole
quantum units of (electric) charge. Throughout the spectrum of
electrically charged leptons and hadrons, every charge is the
equivalent of every other charge, able to replace, neutralize, or
even annihilate its opposite number as the opportunity arises.
Charge conservation is symmetry conservation by proxy. *The
charges of matter are the symmetry debts of light.*

Because of the three-family structure of the quark spectrum, many (15) electrically neutral quark combinations are possible - heavy analogs of the neutron. These electrically neutral leptoquarks are subject to leptonic weak force decays in which a leptoquark neutrino (conserving "lepton number charge") and a neutral pion (conserving energy) replace the leptoquark (as mediated by the heavy "X" IVB). (See: "The Origin of Matter and Information".) During the early micro-moments of the "Big Bang", an asymmetry of unknown origin produced slightly more of these weak-force decays in the anti-leptoquark population (about one extra per billion decays), leaving our universe with an excess of matter leptoquarks - which subsequently decay to protons and neutrons. This may provide an "anthropic" explanation for the otherwise mysterious existence of the three quark-lepton families - they are necessary to create sufficient numbers of neutral leptoquarks for the weak-force asymmetric decays that produced our "matter only" cosmos.

The role of the strong force is to maintain the uniformity (symmetry) of quantized whole charge units throughout the spectrum of elementary particles - whether they be elementary leptons or composite hadrons comprising quark triplets or doublets (the strong force requires the electric charges of baryons and mesons to conform to those of the pre-existing elementary leptonic spectrum - from which the leptoquarks are derived). By means of this symmetry, all electrically charged fermions (baryons, mesons, leptons) can carry, cancel, or neutralize each others' electrical charges, and annihilate the electric charges of their corresponding antiparticles.

The strong force facilitates the breaking of the primordial electromagnetic symmetry between matter and antimatter by enabling the creation of nuclear sub-units (quarks) and hence the formation of electrically neutral leptoquarks. Symmetry-breaking occurs via the asymmetric weak-force decay of electrically neutral composite quark combinations (electrically neutral leptoquarks) - decaying to the matter-only barons of our cosmos (protons, neutrons, hyperons).

The "gluon" field of the strong force also exhibits a symmetry
between its "color" charges that allows any quark to bond with any
other quark, providing the electrical charges of the quark
combination sum to whole quantum (leptonic) charges (including
zero). Color charges themselves must sum to "white"
(red/green/blue combinations, as in baryons) or neutralize each
other (color/anticolor combinations, as in mesons). The symmetry
of the gluon color field is continuous in the sense that all color
charges are equivalent (and hence can be swapped among
themselves), just as all electrical charges are equivalent and can
be traded or shared between particles as a common currency (as in
the universal proton-electron atomic combination). Like electric
charge, color charge is strictly conserved - as we should expect,
if the latter is actually a subdivision of the former. Because
gluons are composed of color-anticolor charges in every
combination, the gluon field as a whole must sum to zero. This
final symmetry of the color force leads to the expectation of proton decay at
very high energy (perhaps via the massive "X" IVB, and/or at the
central singularity of black holes).

**The Weak Force:** (See: "The "W" IVBs and
the Weak Force Mechanism".)

Whereas the strong force controls the global (universal) symmetry of electric charge among the leptons and hadrons (protecting whole quantum unit charges), the weak force controls the global or universal symmetry of mass between all particles of a given species. Electrons, for example, are created with exactly the same mass wherever and whenever they are "born"; an electron created in the decay of a neutron today could be swapped with an electron created aeons ago during the "Big Bang", and nobody would know the difference. This global or universal symmetry of mass (rest-mass energy) within any elementary particle species, lepton or quark, is due to the activity of the weak force and the mediation of its "Intermediate Vector Bosons" (IVBs). Not only does this symmetry allow one member of a particular species to be seamlessly swapped for another of its kind, it allows the annihilation reactions of particle-antiparticle pairs to proceed in a timely and orderly fashion - conserving light's symmetry (always the " bottom line").

The weak force is the only force capable of creating, destroying,
and transforming *single* elementary particles (quarks and
leptons) - as opposed to particle-antiparticle pairs. How does it
manage to create them all with perfectly identical masses (within
type)? The heavy masses of the weak force IVBs (~80 and ~90 proton
masses respectively for the "W" and "Z" IVBs) simply recreate the
primordial energetic conditions under which these particles were
originally created. Within type, they are all stamped out of the
original mold, as it were. In turn, the Higgs boson gauges
(determines) the masses of the IVBs, selecting the
force-unification era of the early universe in which these
particles were first created (the electroweak force-unity era, in
the case of our ordinary particles). (See: "The Higgs Boson and
the Weak Force IVBs".)

Of the charges of the four forces, the "identity" charge of the
weak force may be the most interesting. Neutrinos are the explicit
form of this charge, one for each of the three known elementary
leptons, the electron, muon, and tau (and another set for their
antiparticles). I presume there exists a 4th neutrino, the
identity charge of the leptoquark. If it does exist, it may be
quite heavy and be the source of the mysterious "dark matter". The
neutrinos are mysterious particles, and much remains to learn
about them. (See: Scientific American May 2010 p. 38 "Through
Neutrino Eyes" Gelmini et. al.)

The "identity"
charge is the symmetry debt of the photon's state of
"anonymity": every photon is identical to every other photon
(hence "anonymous"), but the massive elementary leptons are
distinctly different from the photon and from one another - the
muon is about 200 times heavier than the electron, and the tau is
about 3600 times heavier (the photon is massless). While neutrinos
carry leptonic "identity" charge in explicit form, the massive
leptons themselves carry it in "hidden" form, where it is recorded
simply as "lepton number" charge. The "hidden" form is necessary
because the identity charge of the neutrinos involves "parity"
(left- or right-handed spin), and massive particles cannot
conserve this charge. Ordinary neutrinos are almost massless and
travel at very nearly velocity "c", so they do an almost perfect
job of conserving this charge. All neutrinos are left-handed, and
all anti-neutrinos are right-handed, neatly distinguishing matter
from antimatter, and leading to the notion that our universe is in
some sense "left-handed". The weak force reactions of matter are
therefore said to be left-handed, while those of antimatter are
right-handed - in terms of spin or "parity". Parity is conserved
when the universe and anti-universe are considered jointly.

In all the Universe there are only three (perhaps 4) species of
elementary particles - the leptonic spectrum. Only elementary
particles have associated neutrino "identity" charges - quarks
have none as they are sub-elementary. (I presume the leptoquark
neutrino carries the identity charge for the quarks and baryons).
The neutrino is in effect a "certificate of authenticity" that
guarantees "this is the genuine article" - an elementary particle
that is correct in all its conserved parameters - charge, spin,
mass, etc. - and hence can be "swapped out" for any other of its
kind ever made, and (of special importance) can annihilate with
its antiparticle, thereby returning both to the original symmetric
energy state of light from which they were created.

To create a new (single) electron however, is a monumental task,
as it must be the same as any other electron ever made (or that
ever will be made). This requires the mediation of the very
massive "W" IVB (Intermediate Vector Boson: ~80 proton masses), to
re-create the original energy density of the early micro-moments
of the "Big Bang" in which electrons were first created. This is
in fact the energy density of the *electroweak force-unity era,*
the time and energy at which the electromagnetic and weak forces
were unified. The characteristic of this unification energy is
that the massive leptons and their neutrinos are all equivalent,
swapping specific identities amongst themselves as if they were
all members of a single genus (the "leptonic genus"), rather than
distinct species or particles. Similarly, the quarks are likewise
swapping specific identities ("flavors") amongst themselves as if
they were all equal members of a single "hadron genus" (there are
no neutrinos for the quarks; quarks are present as quark-antiquark
pairs of all "flavors"). At the electroweak force-unity energy
level, transformations of lepton/lepton or quark/quark identity or
flavor are effortlessly accomplished. However, quarks and leptons
do not mix at the electroweak energy level. (See: "The Higgs Boson and
the Weak Force IVBs".)

The leptonic spectrum of elementary particles is clearly some sort
of resonant series. In this case it appears to be a resonant
series of the combined electromagnetic and weak forces. The
leptonic series identifies the mass-energy at which the
electromagnetic/photon and weak force/neutrino frequencies are in
sympathetic vibration - the leptonic particle series delineates
the nodes of sympathetic vibration or resonance between these two
forces at the electroweak energy level. The electromagnetic force
can probably produce particles of any rest-mass energy, but it is
only at the nodes of the resonance series where these two forces
are in sympathetic vibration that massive particles can be paired
with neutrino identity charges. This joining of forces is
necessary to produce particles that can be conserved in the sense
that they can be exactly reproduced at any time and place,
matching up exactly with others of their kind, including in
annihilation reactions with their antiparticles.

While the electromagnetic and weak forces are "in resonance" at
the electroweak force-unity energy level, the massive leptons of
the electromagnetic force (such as the electron) and its neutrino,
or "identity charge" of the weak force, are joined together at a
"generic identity" level, in which they exchange identities
without restriction. It is during this period of exchange, and
because of it, that the massive lepton (electron) acquires its
"hidden" identity charge, or is in some way prepared to acquire
and carry one. Such is also the case for the entire "leptonic
spectrum" - the electron, muon, tau, and presumably the leptoquark
also. Of (infinitely?) many possible rest-mass energies that can
be produced by the electromagnetic force, just these four are
compatible with the weak force to the degree that instead of a
massive electromagnetic particle-antiparticle pair being produced
(such as an electron-positron pair), in the electroweak
"resonance" a mixed pair is produced instead - the
electron-neutrino pair (actually a positron neutrino, balancing
identity charge). In the decay of a neutron to a proton, it is
just this electron-positron neutrino pair which we find
accompanying the proton as products of the decay (the electron and
proton balancing each others' electric charges).

We see the massive IVBs as energetic "keys" which open the door to
a conservation domain of massive particles - the leptonic
spectrum. These keys are quantized pulses of energy which pluck
the strings of the cosmic lyre of spacetime with exactly the right
energy to establish a sympathetic resonance between the
electromagnetic and weak forces, producing massive particles of
bound electromagnetic energy which are conserved by weak force
identity charges -symmetry debts of light's "anonymity".

The "identity" charge of the weak force is the most significant of
the charges of the four forces. It is the beginning of
Information, and from this humble beginning proceeds the entire
manifest universe.

While the huge masses of the IVBs "steal the show" in the weak
force, what is important is the uniformity of the leptons produced
in the process, and this depends upon the neutrino identity
charges. It is somewhat similar to the massive human body which
must be used to create the next generation via a minute quantity
of genetic material; the body is impressive but it is the
microscopic genes which count. Imagine what would happen if no
identity charge were required for the creation of (single) leptons
- electrons of every conceivable mass could be produced with
untold consequences for the formation of atoms and for
annihilation reactions with antiparticles.

Elementary particles are special forms of bound energy and
the Universe is prepared to produce and conserve only a very few
types. The major requirement is that they must (as leptons) be
able to pair with a neutrino identity charge, which ensures they
can be absolutely conserved and accurately reproduced. As for the
quarks, they are held to the "neutrino standard" only at the
higher energy of the leptoquark (the GUT or "Grand Unified Theory"
force-unity energy level), but not at the lower energy of the
electroweak force. However, they appear only as quark-antiquark
pairs (mesons) in the electroweak "fluid", so their match-up with
antiparticles is in any case never an issue.

Hence we have the long-range pair of "spacetime" forces - the
electromagnetic and gravitational forces - responsible for
creating and conserving the continuous symmetries of space and
time; and we have the short-range pair of "particle" forces - the
strong and weak forces, responsible for creating and conserving
the continuous symmetries of whole quantum units of electric
charge, and the invariant "rest" mass (within type) of elementary
particles. All four forces work together to produce the charged
and massive particles, planets, stars, and galaxies of our
Universe. Noether's Theorem unites them all: *The charges of
matter are the symmetry debts of light.*

Of the conservation laws, the conservation of energy is the most important, followed by the closely related conservation of symmetry (as set forth in "Noether's Theorem"). Not only the quantity of energy, but also its quality must be conserved.

Of the intrinsic drives, entropy, evolution, and matter's search for antimatter are the most important. The entropy drives include the intrinsic motion of light, the intrinsic motion of time, and gravity (negative entropy). Entropy is a corollary of energy conservation, allowing the use of energy but preventing its abuse (the same energy cannot be used twice to produce the same work). The intrinsic motion of light produces space and its expansion and cooling; the intrinsic motion of time produces history and its expansion and decay; gravity converts space into time and vice-versa, producing historic spacetime - the combined entropic conservation domain of free and bound electromagnetic energy (light and matter). (See: "Temporal vs Spatial Entropy".) Time and history are alternative entropic drives/domains for matter, since massive forms of energy cannot move at velocity c, and hence cannot participate in light's spatial expansion or entropic domain (which is why "diamonds are forever"). The gravitational annihilation of space leaves a temporal residue, the metric equivalent of the annihilated space, while the gravitational conversion of mass to light (as in stars) destroys time and gravitation, creating space.

The inexorable drive of gravity to convert mass to light, restoring the primordial symmetric energy state of light, proceeds via the nucleosynthetic pathway in stars (and supernovae), the direct conversion of gravitational energy to light in quasars, and the total conversion of mass to light via Hawking's "quantum radiance" in black holes. In black holes, the gravitational metric of time finally dominates the electromagnetic metric of space and most of the functions of electromagnetic energy. (Electric charge seems to be strictly conserved regardless of the strength of the gravitational metric.)

Matter's eternal search for antimatter produces the universal electron-proton combination and the electron shells of atoms. The gravity-driven nucleosynthetic pathway (including supernovae) creates all the heavy elements of the periodic table. The information content of matter, embodied in the periodic table of the elements, embarks on an evolutionary journey of incredible length and complexity, culminating in intelligent life forms such as ourselves who can complete the fractal iteration of nature, taking the evolutionary reins in their own hands and moving up to a new, abstract or intellectual level on the evolutionary ladder. Apparently the universe wants to experience and know itself - why not? The conversion of energy to information via symmetry debts (charges) is the key to the mystery of the living, self-aware Cosmos: life arising from the atoms.

The greatest change in the development of the Universe comes with primordial symmetry-breaking and the change from 2-dimensional, massless, non-local and acausal light moving with intrinsic (entropic) motion "c" in space, to 4-dimensional, massive, local and causal matter moving with intrinsic (entropic) motion in time. Laws of absolute motion become laws of relative motion; the symmetric spatial electromagnetic metric of light, gauged by "c", changes to an asymmetric temporal gravitational metric of matter gauged by "G". Historic spacetime serves as matter's causal information repository and "karmic" conservation domain. Gradually, gravity overwhelms the electromagnetic metric and all its functions through the relentless formation of black holes (converting a great deal of mass to light in the process), but even black holes eventually evaporate via Hawking's "quantum radiance", completely converting mass to light and so finally fulfilling Noether's Theorem of symmetry conservation (see: Ornes, Stephen: "The Whole Universe Catalog".

The field vectors of the four forces must not only act to conserve their particular symmetry debts (charges) via annihilation, they must also somehow maintain the value and integrity of these charges in the local realm of relative motion, matter, time, and variable gravitational fields, no less than in the global realm of absolute motion, light, and symmetric space. Symmetry debts must be paid in full and at their original value. The magnetic field of a moving electric charge, the covariance of time and space with moving reference frames, the confinement of quarks by gluon fields of "sticky light", and the huge masses of the weak force IVBs are all examples of these complex compensatory phenomena among the four forces. Mediating between the global vs local, the ideal vs real, the invariant realm of charge vs the relative realm of atomic matter - this is the commonplace, daily task of the field vectors of the four forces. (See: "Global and Local Gauge Symmetry in the 'Tetrahedron Model'".)

The "Tetrahedron Model" is a vast oversimplification of the actual physical system of the Cosmos, but that is its purpose. It intends to reveal the "bare bones", the structural elements, without the flesh, internal organs, and complex biochemistry that animates the creature - the actual living, physical, functioning Cosmos. We are only trying to understand its fundamental laws, forces, and fractal evolutionary structure. To do more is to ask too much of such a simple model. Nevertheless, even if we have only the skeleton of a dinosaur, we find that we have quite a lot.

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**References**

Ornes, Stephen: "The Whole Universe Catalog".