Status

Status — TECT Stage-1 scorecard

Last sync: 2026-06-05 UTC.

#	Pillar	Tier	Label
1	Pillar-1 — Mass m*	T6	PROVED CONDITIONAL
2	Pillar-2 — Brazovskii fluctuations	T6	PROVED CONDITIONAL
3	Pillar-3 — One-loop renormalisation	T5	CLOSED@1-LOOP
4	Pillar-4 — Mass-spectrum closure	T6	PROVED CONDITIONAL on Reading H interpretive framework (Math400-AddE Path α + Math400-AddF BCC stable channel)
5	Pillar-5 — Topological charge quantisation	T6	PROVED CONDITIONAL
6	Pillar-6 — Gauge-group emergence	T4	STRONG EVIDENCE (Math406 Pathway B SO(4) identification REFUTED at the cubic algebraic level by Math408: 6-band decomposes as A_1g ⊕ E_g ⊕ T_2g, NOT T_1u ⊕ T_1g; only one 3-dim irrep present where adj(SO(4)) requires two independent 3-dim summands. Math408 contributes (i) closure of objection O1 at T7 group-theoretic level; (ii) T3 PROOF SKETCH of Stueckelberg dynamical bridge candidate (objection O2); (iii) T2 CONJECTURE of fluctuation-induced SO(4) emergence with pre-registered falsification gates F1-F4 (objection O3 conditionally resolved via LRSM Higgs cascade). Net Pillar 6: T4 ⊕ T3 ⊕ T2 hybrid; no T5/T6 promotion claimed.)
7	Pillar-7 — Lorentz emergence	T6	PROVED CONDITIONAL
8	Pillar-8 — Cosmological constant suppression	T6	PROVED CONDITIONAL
9	Pillar-9 — Newton G derivation	T7	PROVED
10	Pillar-10 — Planck constant origin	T0+T2	REFUTED (classical) + CONJECTURE (phase-transition)
11	Pillar-11 — Dark-sector phenomenology	**T4	T2-split-PROVISIONAL**

Tier	Meaning
T7	PROVED — unconditional theorem
T6	PROVED CONDITIONAL — theorem under named hypotheses
T5	CLOSED@N-LOOP — established at perturbative order N
T4	STRONG EVIDENCE — multi-line evidence, no rigorous theorem
T3	PROOF SKETCH — main logic written, gaps marked
T2	CONJECTURE — explicit hypothesis with falsification gate
T1	OPEN — unaddressed or in active research
T0	REFUTED — counter-example or audit-rollback

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