The Ultimate Relativity: A Self-Consistent Unification of Spacetime Ontology, Tachyonic Shadow Dynamics, Charge-Energy Equivalence, and Gravity from Four Postulates with Zero Free Parameters

We present the complete, self-consistent framework of the Ultimate Relativity (UR): four ontological postulates that simultaneously provide a deeper foundation for quantum mechanics, general relativity, and electromagnetism. The Space Postulate identifies every physical entity as a localised restructuring of space itself; the Pair Postulate asserts that every particle is co-created with a superluminal shadow of opposite quantum numbers; the Time Postulate grounds particle existence in discrete de Broglie clock ticks; and the Measurement Postulate identifies detection with a particle–shadow coincidence event. From these four postulates alone we derive: 1. the tachyonic Dirac equation as the unique shadow wave equation, together with the Quantex identity-exchange mechanism that bounds tachyon condensation to a maximum growth of e¹ ≈ 2.718 independent of momentum; 2. the charge-energy equivalence qm = γq₀ and the Proton–Electron Charge Asymmetry Principle—the proton rest charge is a Lorentz-invariant Chern–Simons winding number while the electron rest charge satisfies q₀(e) = e₀/γ, with all QED observables exactly reproduced via the γ-cancellation theorem; 3. the UR-Dirac equation, in which charge is an energy-dependent operator; 4. the corrected Born rule derived from the tachyonic propagator (correcting an error in the original paper), with a falsifiable deviation δ(Q²) = exp(−2πmₛc²/√Q²) testable at the Electron-Ion Collider; 5. the photocity scalar field ρ = dE/dV, its unique action (fixed by four constraints, zero free parameters beyond the cosmological constant), and the effective mass formula mᵉᵠᵠ = m₀(1−ρ/ρ₀) from a Yukawa self-consistency condition; and 6. the Einstein equations, Newtonian gravity, and dark energy, all recovered without new fields. Three hadronic observables are computed with zero free parameters: the neutron magnetic moment −1.913 μN (four significant figures), the proton dipole form factor shape, and the sign of the neutron mean-square charge radius. The framework is internally consistent, compatible with all precision measurements, and makes concrete falsifiable predictions testable by 2030.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-16
DOI
https://doi.org/10.5281/zenodo.20237599
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

The Ultimate Relativity: A Self-Consistent Unification of Spacetime Ontology, Tachyonic Shadow Dynamics, Charge-Energy Equivalence, and Gravity from Four Postulates with Zero Free Parameters

Bimal Chandra Dan
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

The Ultimate Relativity: A Self-Consistent Unification of Spacetime Ontology, Tachyonic Shadow Dynamics, Charge-Energy Equivalence, and Gravity from Four Postulates with Zero Free Parameters

Bimal Chandra Dan
preprint en

Abstract

We present the complete, self-consistent framework of the Ultimate Relativity (UR): four ontological postulates that simultaneously provide a deeper foundation for quantum mechanics, general relativity, and electromagnetism. The Space Postulate identifies every physical entity as a localised restructuring of space itself; the Pair Postulate asserts that every particle is co-created with a superluminal shadow of opposite quantum numbers; the Time Postulate grounds particle existence in discrete de Broglie clock ticks; and the Measurement Postulate identifies detection with a particle–shadow coincidence event. From these four postulates alone we derive: 1. the tachyonic Dirac equation as the unique shadow wave equation, together with the Quantex identity-exchange mechanism that bounds tachyon condensation to a maximum growth of e¹ ≈ 2.718 independent of momentum; 2. the charge-energy equivalence qm = γq₀ and the Proton–Electron Charge Asymmetry Principle—the proton rest charge is a Lorentz-invariant Chern–Simons winding number while the electron rest charge satisfies q₀(e) = e₀/γ, with all QED observables exactly reproduced via the γ-cancellation theorem; 3. the UR-Dirac equation, in which charge is an energy-dependent operator; 4. the corrected Born rule derived from the tachyonic propagator (correcting an error in the original paper), with a falsifiable deviation δ(Q²) = exp(−2πmₛc²/√Q²) testable at the Electron-Ion Collider; 5. the photocity scalar field ρ = dE/dV, its unique action (fixed by four constraints, zero free parameters beyond the cosmological constant), and the effective mass formula mᵉᵠᵠ = m₀(1−ρ/ρ₀) from a Yukawa self-consistency condition; and 6. the Einstein equations, Newtonian gravity, and dark energy, all recovered without new fields. Three hadronic observables are computed with zero free parameters: the neutron magnetic moment −1.913 μN (four significant figures), the proton dipole form factor shape, and the sign of the neutron mean-square charge radius. The framework is internally consistent, compatible with all precision measurements, and makes concrete falsifiable predictions testable by 2030.

Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
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The Ultimate Relativity: A Self-Consistent Unification of Spacetime Ontology, Tachyonic Shadow Dynamics, Charge-Energy Equivalence, and Gravity from Four Postulates with Zero Free Parameters — Bimal Chandra Dan · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS