A Compact Probabilistic Framework for Emergent Geometry and Non-Singular Gravitational Dynamics

This repository contains a collection of preprint manuscripts developing the Tachyon Probability Field (TPF) framework, a probabilistic and information-theoretic approach to emergent geometry, non-singular gravity, and quantum-causal dynamics.

The core idea is that spacetime structure, gravitational behavior, and effective quantum evolution arise from a compact, causal probability update operator acting on a global state space, rather than being assumed a priori. Compactness enforces bounded information throughput and leads to generic resolution of curvature singularities, emergent time ordering, and effective locality at macroscopic scales.

These documents establish the axiomatic, mathematical, and structural foundations of the framework. Phenomenological applications, experimental consequences, and detailed mappings to known physical theories are intentionally deferred to subsequent works. The manuscripts are intended to serve as timestamped priority records and as a basis for future peer-reviewed publication.

No claims of experimental verification are made in this release.