Emergent Physics from a Two-Dimensional Elastic Lattice: A Geometric Framework

This preprint presents a theoretical framework exploring the hypothesis that quantum mechanics and general relativity may emerge from a single underlying structure: a two-dimensional elastic lattice embedded in higher-dimensional space. The model proposes that:- Particles are topological defects (vortices) in the lattice- Fundamental forces arise from different geometric deformation modes- Quantum entanglement manifests as wormhole-like connections- Spacetime curvature emerges from lattice bending From a unified Lagrangian density with five fundamental parameters, we derive the Schrödinger equation, Einstein field equations, Maxwell's equations, and aspects of strong interactions. The framework suggests testable predictions including decoherence timescales, constraints on proton decay, and specific patterns in neutrino masses. This work is inspired by condensed matter physics, particularly topological defects in elastic media, and offers an alternative geometric perspective on foundational questions in quantum theory and quantum gravity. The approach is speculative and requires extensive experimental verification, but provides a novel conceptual framework worth exploring.