Temporal‑Lattice Quantum Gravity: A Discrete Spacetime Framework for General Relativity, the Standard Model, and Cosmology
Description
This preprint proposes a temporal‑lattice framework for quantum gravity and unification. The central hypothesis is that spacetime at the most fundamental scale is a causal lattice with discrete time steps and spatial sites, and that all physical degrees of freedom—geometry, gauge fields, and matter—are realized as temporal‑phase patterns on this lattice. In the continuum limit, the discrete causal structure yields an effective Minkowski spacetime and reproduces general relativity via a Regge‑type action on causal triangulations. The framework embeds the Standard Model on the same lattice and uses anomaly cancellation and topological consistency to argue that the gauge group SU(3)×SU(2)×U(1) and a Standard‑Model–like fermion spectrum arise as preferred solutions.The work sketches how dark energy can be understood as a vacuum‑selection effect in the lattice path integral, how dark matter may correspond to neutral temporal‑phase excitations, and how quantum measurement and the Born rule can be interpreted in terms of lattice‑induced decoherence. It also outlines potential Planck‑scale phenomenology, including modified dispersion relations and black‑hole area quantization, which could be tested by future high‑energy and gravitational‑wave observations. This document is intended as a theoretical framework and starting point for further analytical work, numerical simulations, and phenomenological studies.
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Dates
- Copyrighted
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2025-11-15