Thompson Dimensional Framework Origin (TDF-0): Unified Origin Recursion Law from Pure Structure (Patch-Free, Inputless, Self-Generating Formalism)

Updated TDF-0 now begins with no particles, no constants, no pre-imposed laws; only a 2-dimensional, zero-entropy vibrational state. From this singularly minimal foundation, a single recursive mathematical engine generates space, time, curvature, quantum fields, gravity, mass and entropy. The core scaling law emerges inevitably. Four foundational theorems prove that numbers, dimensions and physical dynamics arise from this origin; with string theory, general relativity, quantum gravity and TDF all appearing as necessary consequences. Black hole entropy, the cosmological constant and the Higgs hierarchy problem fall out of the same recursion, without fine-tuning, singularities or external constructs. TDF-0 does not compete with other theories; it contains them. Big Bang, loop quantum gravity, conformal cyclic cosmology and other frameworks appear as specific projections of its logic. Where others begin with assumptions, TDF-0 builds the universe from nothing but pure geometry and self-consistent logic. This is not a model. It is the generative source code of reality.With TDF-0, the origin is solved. With TDF, the laws of physics follow. Together, they form a complete, mathematically unbreakable Theory of Everything.