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Microscopic Spacetime Kinematics and the Emergence of Einstein Gravity from the Tetrahedral Geometry of the MMU

2025/01/01 by Wollbold, Jurgen
Materials Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Discrete spacetime model #Einstein gravity #Elastic spacetime #FOS: Physical sciences #MMU #Nonlocal and gradient elasticity in micro/nano structures #Physical Sciences and Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum Physics #Tetrahedral spacetime #Time dilation #Unified physical model

paper · doi:10.17605/osf.io/w96h3

openalex publication_date 2025/01/01 · openalex created_date 2025/11/28 · openalex updated_date 2026/07/01

Abstract

This article presents a microscopic model of spacetime based on a discrete tetrahedral lattice called the Methane Metauniverse MMU. In this framework, the internal elastic modes of each tetrahedral cell generate both relativistic kinematics and gravitational effects. Time dilation and length contraction arise from the projection of internal motion onto a preferred axis. The same internal energy distribution, determined by the Schrodinger equation, deforms the lattice and produces the weak field limit of the Einstein metric. The model explains gravity as an elastic response of space and shows how the relation E equals m c squared follows from internal elastic energy. The MMU therefore provides a unified and mechanical origin for quantum behavior, relativistic kinematics, and weak field gravity.

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