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Unification of Newtonian Gravity, General Relativity, and Quantum Mechanics via the Discrete Dynamic Computational Collapse Theorem, with an Application to the Riemann Zeta Function

Hamid Sabrari

Published Jul 9, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.25580.94085

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One of the grand open problems of modern physics is the unification of Einstein’s general relativity and quantum mechanics. This challenge has been approached by the greatest physicists but there is still no complete theory and experimental evidence remains out of reach. The Newton–Schrödinger equation (NSE) offers insight into this puzzle, as it describes a quantum wavefunction under self-gravity dynamics. Having been studied theoretically for decades, optical experiment of this nonlinear model was demonstrated only in 2015. Although the NSE can be generalized to post-Newtonian gravity approximating general relativity, all experiments simulating nonlinear gravity so far have been limited to Newtonian gravity. Here we present experimental emulation of post-Newtonian dynamics by probing a new physical regime of nonlinearity that mimics larger masses in gravity. We find soliton solutions of the post-Newtonian–Schrödinger equations, distinct from their Newtonian counterparts and demonstrate them experimentally. We observe rich beam evolution requiring previously unconsidered nonlinear terms, thereby opening up new experimental capabilities for simulating wavefunction dynamics in the settings of general relativity. An optical emulation experiment of a quantum wave function dynamics under self-induced post Newtonian gravitational potential is presented, including observation of solitons of this system and rich beam evolution due to high-order nonlinear effects.
The role of time has changed conceptually moving from classical Newtonian physics to general relativity and is one of the main obstacles avoiding a clear unification between a covariant quantum mechanics theory and a theory of gravity. In quantum mechanics as in Newtonian physics, time is an evolutional causal parameter, while in general relativity, time has become a spatial axis where matter is spread over the whole world line (an unlocalized 4D wave function), and the 4D picture became a static picture where our empirical experience of dynamics is merely an illusion of our minds. Understanding that Newtonian time still exists in parallel to the 4D world, raises the possibility to describe gravity within a manifestly covariant quantum theory. The examples of the use of such a theory raise the possibility of a clear interpretation of recent interference in time experiments, and also raise new physics when dealing with a curved spacetime.
Abstract This paper establishes a comprehensive physical reconciliation between the recent non-equilibrium quantum simulation of the Riemann zeta function by Wei et al. and the Tension-Optimized Newtonian Entropy (TONE) framework. While standard computational approachesimplement binary interval search grids over abstract registers, the TONE model contextualizesthese phase dynamics as a native wave-overpass phenomenon across a ten-dimensional fluidsubstrate. We demonstrate that the discrete 2n orbital filling configurations and the 2n + 1tracking invariants emerge directly from the geometric causality of half-submerged de Brogliefermions under the Pauli exclusion principle. By mapping the analytical properties of thezeta function to localized modular phase boundaries (Z/(2n + 1)Z), this approach eliminateshistorical database scans, collapsing composite harmonic sub-maxima into an absolute zeroamplitude baseline through local destructive wave-interference. This unified grand unifiedtheory framework bridges the micro-macro scale division, providing an unforced, deterministicmechanical foundation for both quantum critical dynamics and the structural distribution ofprime numbers. Keywords: TONE Theory, Wave Mechanics, Synthetic Antiferromagnets, Sublattice Localization,Perpendicular Magnetic Anisotropy, Interfacial Viscosity.PACS: 03.65.Ta, 75.70.Ak, 75.70.Cn, 47.10.-gCopyright: Copyright Pending © 2026DOI: 10.5281/zenodo.22103537