Chapter 64: What τ Refuses

Chapters and mapped the structural source of all differences and the constructions that survive the fork. This chapter addresses the hardest question: what does Category τ structurally refuse?

Mode C (Refused) objects are constructions that orthodox mathematics permits but τ’s axioms structurally block. Each refusal is not arbitrary: it is a necessary consequence of categoricity. The chapter catalogues sixteen refusals, traces each to the axiom that forces it, develops the dimensional ladder collapse as a case study, and identifies the coherent protection architecture that the refusals collectively form.

This is the honest accounting of what Category τ cannot do.