The Scalar Potential Has An Internal Structure

The Structure of the Scalar Potential: According to rigorous proofs by Whittaker2 and
Ziolkowski,3 any scalar potential can be mathematically decomposed into a harmonic series of
bidirectional wave pairs. Figure 1 shows this Whittaker/Ziolkowski (WZ) structure. In each pair,
the forward-time wave is going in one direction, and its phase conjugate (time-reversed) replica
wave is going in the other. According to the so-called distortion correction theorem 4 of nonlinear
phase conjugate optics, this PCR wave must precisely superpose spatially with its partner wave
in the pair. The two waves are in-phase spatially , but 180 degrees out of phase in time. The
wave is made of photons, and the antiwave (PCR wave) is made of antiphotons. It follows that,
as wave and antiwave pass through each other, the photons and antiphotons are coupling and
uncoupling with each other, because the antiphoton is a PCR photon, and PCR's precisely
superpose spatially with their partner. A photon or antiphoton has wave characteristics, because
it has a frequency; if the wave aspects are perfectly ordered and perfectly correlated, then so
are the photon's particle aspects.
A Potential Is An Ordering Across the Universe: So we have -- astoundingly -- perfect VPF
inner ordering infolded in the electrostatic scalar potential! We also have perfect wave/antiwave
ordering infolded in there. When you collect a simple set of charges on a small ball or in a
region, the scalar EM potential from that set of charges reaches across the universe. In it you
have an infinite harmonic series of phase-locked time-forward EM waves going out from the
charges to all distant points of the entire universe. And you have an infinite harmonic series of
phase-locked time-reversed EM waves coming from all points of the universe, back to the
"collected charges" source.
A Potential Is A River of Energy: The point is, you have established a mighty, hidden, 2-way
river of energy between that collection of charges and every other point in the universe. There is
infinite energy in each of those infolded waves and antiwaves. But in a localized region, the
energy density in each wave is finite. Since in finite circuits the potential interacts with a
localized set of mass, we shall be concerned with the local energy density (joules/coulomb) of
the potential.
But forget the conventional myth of visualizing the potential as pushing a unit charge in from
infinity "against the force field" -- there isn't any force field in the vacuum, as is well-known in
quantum mechanics. Also, Newton's third law requires all forces to occur in pairs -- each pair
consisting of a force and its 3rd law reaction force. From that viewpoint alone, there is no such
thing as an EM forcefield or force field wave in the vacuum. There are just gradients of the
vacuum potential present in the vacuum. In the vacuum, an EM wave is actually a wave of the
phase locked gradients of the electrostatic scalar potential and of the magnetostatic scalar
potential. And each such gradient wave is simultaneously accompanied by its phase conjugate
gradient wave, because of Newton's third law.
Newton's third law requires forces to occur in pairs of equal but antiparallel forces.
Both wave and antiwave co-exist simultaneously in the vacuum EM wave.5 Therefore it's a
stress potential wave, not a force field wave. It's more like an electromagnetic sound wave,6 and
so it is a longitudinal wave, not a transverse wave. In the EM vacuum wave's interaction with
matter (the so-called "photon" interaction), the wave normally half interacts with the electron
shells of the atom, giving translation forces, while the anti-wave half interacts with the atomic
nucleus, giving the Newtonian 3rd law reaction (recoil) forces (waves). The EM wave in vacuum
is an electrogravitational wave.
Energy Is Internally Infinite and Unlimited: A static potential -- which is identically excess
energy -- is internally dynamic and infinite. Energy is internally infinite and unlimited! But it has a
finite energy density in a local region of spacetime. Since energy interacts with matter locally,
we shall be concerned with the local energy density (joules per coulomb).
A Principle of Great Importance: The only way you can have a "chunk" or finite amount of
energy to dissipate in a circuit as work is to first have a potential's local energy density interact
with a local finite mass collector. The normal interacting mass collector is the free electrons (the
free electron gas) in the circuit. You can have, e.g., (joules/coulomb x coulomb); (joules/gram x
grams); (joules/m3 x m3); etc.
Voltage, Force, Potential Gradients, Loads, and Work: Now let's look at circuitry aspects.
Conventionally they are a mess. Voltage is "essentially" defined as the "drop in potential." In
other words, it's the dissipation (disordering) of a "finite amount" of potential gradient. But the
only way you can get a "finite amount" of infinite energy/potential gradient is by first interacting
the potential gradient's internal, finite, excess energy density with a finite "collector" mass. E.g.,
(joules/coulomb available for collection) x (coulombs collecting) = excess joules collected on the
interacting coulombs, available for dissipation.
So voltage is really the dissipation of a finite collection of excess EM energy/potential gradient.
The dissipation of potential or of its gradient is not potential! You cannot logically define either
potential or energy as is own dissipation!
We presently use the notion of "voltage" in two completely contradictory ways in electrical
physics. Here's how we got the confusion: We take a potential gradient (which has a local
energy density), and we "collect" it across some charged masses in a locality -- usually the free
electrons in the free electron gas in our circuitry. That is, we express the finite energy density of
the potential gradient (before collection onto charges) in the local region in terms of energy per
coulomb. The potential gradient actually is a change to the ambient potential, and so it contains
an excess energy density (the magnitude may be either positive or negative). We then collect
this potential (actually this potential density) on a certain number of coulombs, which places tiny
little gradients of potential across (coupled to) each free electron. The local excess energy
density of the potential gradient multiplied by the amount of collecting mass gives the amount of
excess energy collected (on the interacting charges/coulombs). On each collecting particle, that
little gradient, together with the coupling particle, constitutes a tiny force. F is not just equal to
ma (non relativistic case); instead, F ≡ (ma), where (mass x acceleration) is considered as a
unitary, inseparable thing. So that little potentialized electron (that little EM force) moves itself
around the circuit. In the load (scatterer), the little potentialized electron (the little force) is
subjected to jerks and accelerations, thus radiating energy (shucking its gradient). Since this is
done in all directions in the scatterer (load), that gets rid of the gradient, reducing the "little
force" (potentialized electron) to zero because the little potential gradient is lost due to radiation.