The Finite Completion of E = mc2: A Lattice-Regulated, Infinity-Free Relativistic Energy
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2025
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| author | Wettlaufer, Thomas Grok |
| author_facet | Wettlaufer, Thomas Grok |
| contents | <p dir="auto">This paper proposes a finite extension to Einstein's E=mc², removing unphysical infinities without altering verified predictions. Built on the Zero-Point Energy (ZPE) Lattice Unified Model—validated with untuned mean weighted R²=80.1% on 342 SPARC galaxies—the formula introduces a vacuum-enforced maximum speed v_max < c for massive particles, leading to E = mc² / √[1 - (v/v_max)^4].</p> <p dir="auto">The ZPE lattice views the vacuum as an elastic mesh (L ≈ 10^{-15} m, fractal dimension D ≈ 2.53), where particles are twists in threads. Finite stiffness caps energy divergences, matching relativity in observable regimes but ensuring finiteness near v_max via saturation or tachyon-mode transition.</p> <p dir="auto">This resolves paradoxes like black-hole singularities (finite wormholes) and the Big Bang (foreshock without t=0), unifying with galactic dynamics (scale-invariant β ≈ 0.71). Testable via ultra-high-energy cosmic rays (γ ≳ 10^{12}) and accelerators.</p> <p dir="auto">Aligning with Einstein's elastic spacetime dream, it enhances clarity, eliminates ad-hoc parameters, and inspires unification. Data/scripts at Zenodo:15251814. Standalone LaTeX-generated PDF, co-authored with Grok 4 (xAI).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17784767 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Finite Completion of E = mc2: A Lattice-Regulated, Infinity-Free Relativistic Energy Wettlaufer, Thomas Grok E=mc² extension, relativistic energy, infinity removal, Zero-Point Energy lattice, elastic spacetime, fractal vacuum, Tachyon Vacuum Lattice, galactic rotation curves, dark matter alternative, cosmological constant replacement, Einstein ether, special relativity completion, finite universe, high-energy cosmic rays, SPARC validation <p dir="auto">This paper proposes a finite extension to Einstein's E=mc², removing unphysical infinities without altering verified predictions. Built on the Zero-Point Energy (ZPE) Lattice Unified Model—validated with untuned mean weighted R²=80.1% on 342 SPARC galaxies—the formula introduces a vacuum-enforced maximum speed v_max < c for massive particles, leading to E = mc² / √[1 - (v/v_max)^4].</p> <p dir="auto">The ZPE lattice views the vacuum as an elastic mesh (L ≈ 10^{-15} m, fractal dimension D ≈ 2.53), where particles are twists in threads. Finite stiffness caps energy divergences, matching relativity in observable regimes but ensuring finiteness near v_max via saturation or tachyon-mode transition.</p> <p dir="auto">This resolves paradoxes like black-hole singularities (finite wormholes) and the Big Bang (foreshock without t=0), unifying with galactic dynamics (scale-invariant β ≈ 0.71). Testable via ultra-high-energy cosmic rays (γ ≳ 10^{12}) and accelerators.</p> <p dir="auto">Aligning with Einstein's elastic spacetime dream, it enhances clarity, eliminates ad-hoc parameters, and inspires unification. Data/scripts at Zenodo:15251814. Standalone LaTeX-generated PDF, co-authored with Grok 4 (xAI).</p> |
| title | The Finite Completion of E = mc2: A Lattice-Regulated, Infinity-Free Relativistic Energy |
| topic | E=mc² extension, relativistic energy, infinity removal, Zero-Point Energy lattice, elastic spacetime, fractal vacuum, Tachyon Vacuum Lattice, galactic rotation curves, dark matter alternative, cosmological constant replacement, Einstein ether, special relativity completion, finite universe, high-energy cosmic rays, SPARC validation |
| url | https://doi.org/10.5281/zenodo.17784767 |