The complete formal audit of a null-envelope transport theory: from the sound-on-Einstein's-train question, through the Trilemma theorem and the three-sector refoundation, to the machine-checked mathematics and the quantum no-go that settles it.

Abstract

This report documents the end to end audit of a speculative theory that arose from a deceptively simple question: if a sound is emitted inside a vehicle travelling at the speed of light, does the sound also travel at the speed of light? The conversation that followed produced a remarkably elaborate construction, the “light envelope vehicle” of sections 42 to 68 of the source dialogue, in which a massive passenger is carried by a null (light like) transport shell while living in an internal space with its own proper time. The question posed to this audit was maximal: check everything, at full rigour, and iterate until nothing moves. This document is the result of that iteration. The audit proceeds in four independent layers, each attacking the theory from a different direction. The symbolic layer re derives every algebraic claim of the theory with computer algebra (SymPy), block by block, numbered V1 to V31 in the verification scripts. The adversarial layer attempts active falsification: roughly one million randomized Monte Carlo trials per audit generation, renewed with fresh seeds on every pass, hunting for a single counterexample to any claimed theorem. The machine layer formalizes the central results in the Lean 4 theorem prover with mathlib4, where the logical kernel, not any human or any script, certifies every proof step. The quantum layer confronts the one postulate the theory still needed with the axioms of quantum field theory: the Wightman spectral condition, the Wigner classification, and the Ford Roman quantum inequalities.