Relativity and Cosmology

    

Foundations of Quantum-Elastic Geometry: a Geometric Framework for a Unified Physical Description of Nature

Authors: Juan Moreno Borrallo

This work presents a framework for the derivation of key physical constants and their interrelations, building the basis for the geometric structure underlying Quantum-Elastic Geometry (QEG) model, a unified field theory in which spacetime is described as an elastic substrate. From QEG Lagrangian and a generally covariant action, we assume the foundational principles of homogeneity, isotropy, covariance, and Lorentz invariance for a physical substrate, showing that imposing self-consistency -formalized through a minimal set of geometric normalization conditions compatible with QEG basis— uniquely determines the substrate's emergent structure and properties. The outcome is a deductive framework in which fundamental constants are geometrically enforced, emerging as predictable consequences of a stable and symmetrically constrained geometry.

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[v1] 2025-10-16 22:10:12

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