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Pillar 2

Jusang Lee edited this page Jun 5, 2026 · 12 revisions

Pillar 2 — Brazovskii fluctuations

Tier: T6 — PROVED CONDITIONAL
Epistemic category: C1 — Core emergence (TECT-internal, rigorously derived)
Last sync: 2026-06-05

TECT framework positioning (binding 2026-05-26): TECT is an emergent vacuum-and-gravity framework (7 C1 pillars at T6/T7) with an unresolved gauge-sector completion (Pillar 6 standard routes EXHAUSTED) and phenomenological dark-matter/quantum-origin pillars open. TOE-level claim SUSPENDED until non-standard rescue independently derived (per Math411-AddB §10).

Statement

Quasi-Goldstone fluctuation spectrum of the BCC fluctuation channel (Reading H); linear-response renormalisation closure.

Status semantics

This pillar is currently classified at tier T6 (PROVED CONDITIONAL) per the canonical TOE-FACT-SHEET.

Conditional on:

  • Spectral gap closure (Math82)
  • Math415 (2026-05-27, A-Round 1 of C1 closure programme): Pillar 2 hypothesis set H_2^RH = {H_{2,1}^gap (Math82 reformulated under Reading H — Hessian eigenvalue λ_min^{BCC-channel} = r_R·Θ_1 > 0 derivable from Math400-AddE Path α + Math400-AddF channel stability)}; T6 PROVED CONDITIONAL retained; T7 promotion path Math415-AddB queued (continuum-limit verification of Math400-AddF channel stability). Verified Math415_pillar1_pillar2_audit.py 6/6 self-test asserts PASS.

Key Math notes

Open questions

See Open-questions for active items tagged with P2. GitHub Issues with the same label provide discussion threads: issues with P2 label.

Source of truth

Canonical pillar tier: Codes/config/pillar_status.json (raw). Per-pillar narrative: Docs/status/TOE-FACT-SHEET.md Stage-1 scorecard (raw). Updates propagate through the cascade pipeline (CLAUDE.md §18) — do not edit this wiki page directly.

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