In standard physics, the Lorentz factor
is derived from Einstein’s postulates of special relativity and interpreted as a property of spacetime itself. It governs time dilation, length contraction, and the relativistic energy-momentum relation \(E = (\gamma - 1)mc^2\). However, this interpretation assumes abstract symmetry over physical mechanism.
We propose a new foundation:
\(\gamma^{-1}\) is the fraction of phase coherence retained between emitter and receiver due to relative motion in a finite-speed field medium.
This reframes \(\gamma\) not as a geometric necessity, but as a causal, mechanical effect arising from the dilution of influence across space and time. No postulates. No infinities. Just continuity.
To make this concept physically transparent, we decompose every variable into observable quantities.
Let:
Then velocity is:
These are direct measurements—not abstract constants.
When a source emits energy (EM or gravitational), it spreads spherically:
Intensity at distance \(r\) is:
This inverse-square law reflects the dilution of force or signal strength over expanding area—a core principle of Gauss’s Law.
Now let the receiver move transversely at speed \(v\). Over one period \(T\), it travels:
While the wave advances:
The angle of arrival shifts, causing the wavefront to strike the receiver obliquely. This reduces constructive interference.
Define phase efficiency:
From trigonometry and wave superposition, with vector wavevector \(\mathbf{k}\):
where \(\theta\) is the wavefront incidence angle.
Thus, \(\gamma\) measures how well a moving system stays synchronized with incoming waves—like trying to catch rain while running sideways.
With this foundation, all "relativistic" phenomena gain causal explanations.
Atomic clocks slow down not because time itself changes, but because:
Hence, clock slowdown is a material response, not a spacetime warp.
In particle acceleration, input energy does not solely become kinetic motion. Instead:
where \(E_{\text{VSS}}\) is energy stored in distorted \(\varepsilon(r)\), \(\mu(r)\) fields around the electron—what CUGE calls Vacuum Shielding Stress.
As \(v \to c\), phase efficiency drops → more energy goes into VSS, less into speed → diminishing returns on acceleration.
No need for "relativistic mass increase"—only conservation in a real medium.
Bertozzi observed excess heat in high-energy electrons; Sturm saw rising \(\Gamma = I_c / (I_c - 2I_p)\) with voltage.
Standard model interprets both as confirmation of \(E = (\gamma - 1)mc^2\).
C.O.R.E. shows:
Both align perfectly with classical EM + phase efficiency.
| Voltage \(U\) (MV) | \(v/c\) | \(\gamma - 1\) | \(E_{\text{mech}}/mc^2\) | \(E_{\text{VSS}}/mc^2\) | Observed Heat Excess |
|---|---|---|---|---|---|
| 1.0 | 0.706 | 0.665 | 0.250 | 0.415 | Matches \(eU\) |
| 5.0 | 0.974 | 8.513 | 0.487 | 8.026 | >94% VSS |
Quantum mechanics violates causality through:
But if \(\gamma\) itself emerges from local, continuous field interactions, then these paradoxes vanish.
Two entangled particles share a common origin—a single coherent wave with defined polarization and phase.
Upon detection:
Like two gloves sent in separate boxes: opening one tells you about the other—no magic required.
Light is a continuous EM wave. "Photons" are statistical artifacts of atomic threshold absorption (ASH).
Photoelectric effect:
No collapse. No duality. Only cause and effect.
There is no discontinuous jump. Only gradual energy buildup until release.
Detection is not creation—it is threshold-triggered discharge.
Causality preserved.
| Concept | Standard Model | C.O.R.E. |
|---|---|---|
| \(\gamma\) | Spacetime geometry | Phase efficiency in medium |
| Time Dilation | Temporal flow change | Reduced coupling efficiency |
| Mass-Energy | \(E = mc^2\) via SR | Input splits: kinetic + VSS |
| Quantum Collapse | Instantaneous, non-local | Continuous accumulation → threshold |
| Entanglement | Non-local correlation | Pre-shared coherence + local detection |
This shift eliminates dozens of paradoxes by returning physics to continuity, causality, and conservation.
This phase-limited stability predicts linear trajectory growth in refractive simulations [3], aligning with ZEUS's eternal MACHO distributions and observed metallicities at \(z \approx 14\) (e.g., JWST's compact high-\(z\) galaxies implying stable n-body evolution without chaotic divergence).
The exposé of \(\gamma\) as inverse phase efficiency is not merely a reformulation—it is a revolution.
It proves that even our most sacred relativistic symbol can be reduced to basic physics:
Distance, time, spreading, and synchronization.
And in doing so, it dismantles the entire edifice of quantum acausality.
No more spooky action.
No more observer-created reality.
No more unphysical singularities.
Just a responsive vacuum, governed by classical electromagnetism, where every effect has a local, physical cause.
Nature is not probabilistic at its core.
It is continuous, coherent, and causal.
And \(\gamma\)—the number we thought proved relativity—is revealed as the fingerprint of that causality.
"This is not a rejection of data—it is a reinterpretation of it."
— C.O.R.E. Framework
With this reinterpretation, the era of abstraction ends. The era of classical emergence begins.
This work emerged from dialogue between theory and experiment—a shared commitment to physical realism over mathematical abstraction. Special thanks to W. Sturm and A. Schaub for experimental insights. Computational validation and refinement were assisted by Grok, built by xAI, and Qwen 3.