τ-Native Challenge Families
Cross-links to existing τ-native mathematical challenge families surfaced as visible challenges rather than as internal results.
τ-native mathematical challenge families
These are not new content. They are existing τ pages surfaced as challenges so the structural challenge ledger makes the framework’s internal commitments visible.
| Family | Challenge |
|---|---|
| T1 — Kernel Categoricity and Rigidity | Can the five-generator / one-operator / seven-axiom kernel be characterized uniquely enough to support the later construction? |
| T2 — Central Theorem Bridge | Can the central theorem be stated, checked, and bridged so external mathematicians can inspect it without assuming τ semantics? |
| T3 — τ-Zeta and Spectral Arithmetic Bridge | Does τ-zeta connect to classical zeta/L-function structures, or only to an internally analogous spectral object? |
| T4 — GRH / Grand-GRH Hierarchy | See CB-GRAND-GRH. |
| T5 — τ-Topos and Internal Logic | What topos-like or internal-logic structure is earned, and how does it compare to ordinary topos theory? |
| T6 — Address Resolution and Hyperfactorisation | Can address-level construction produce standard arithmetic, factorisation, and complexity constraints? |
| T7 — Diagonal Limitation / Gödel-Cantor-Tarski Pressure | See F5 — Gödel Limitation. |
| T8 — Formalization Adequacy | See F16 — Computability and Formalisation. |
These families cross-link to existing surfaces in the τ corpus:
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