Coherent Relational Stability and the Emergence of Physical Reality A Spectral Transport Theory of Quantum Structure, Gauge Geometry, Gravitation, and Emergent Constants

We develop a pregeometric framework in which quantum mechanics, gauge structure, gravitation, matter, and spacetime emerge from the stability dynamics of coherent relational transport organization. Rather than assuming spacetime manifolds, Hilbert spaces, or gauge symmetries as fundamental, the theory begins from a primitive causal-relational substrate consisting only of composable transport relations.

A generalized spectral transport operator

is introduced to represent coherent relational dynamics. Stable eigensectors of  generate effective particles, locality, gauge structure, and geometry. Physical organization is governed by a generalized relational stability functional whose extrema define dynamically persistent coherent structures.

Quantum mechanics emerges from coherent compositional consistency, gauge symmetry emerges as redundancy of transport representation, and spacetime geometry emerges statistically through spectral localization, thermodynamic projection, and relational distinguishability stabilization.

The framework therefore proposes that physical reality is fundamentally not a collection of objects evolving inside spacetime, but a self-stabilizing process of coherent relational spectral organization from which matter, fields, and spacetime itself emerge