Pillar 10

Pillar 10 — Planck constant origin

Tier: T0+T2 — REFUTED (classical) + CONJECTURE (phase-transition)
Epistemic category: C3 — Phenomenological add-on (TECT does NOT predict from internal axioms)
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

Planck constant $\hbar$ as frozen-in adiabatic invariant of the condensate freeze-out (Reading H) (T2 conjecture; classical no-go T0).

Status semantics

This pillar is currently classified at tier T0+T2 (REFUTED (classical) + CONJECTURE (phase-transition)) per the canonical TOE-FACT-SHEET.

Conditional on:

• Phase-transition origin programme (T2 conjecture, separately tracked)
• Math405 Pillar 10 advance assessment (post-Math404, 2026-05-12): Math110 hbar = c^3 a_cond^2 / (16π G) identified as TRANSLATION (relates hbar to a_condensate given c, G), not EXPLANATION. Math404 Planck-anchoring + Reading H do not advance Pillar 10 to higher tier. T0+T2 hybrid RETAINED. Three pathways for future T2→T4 promotion: 10-A (anthropic), 10-B (RG fixed point at q_0=0.6802), 10-C (topological / Berry-curvature route). Math405-AddA queued for Pathway 10-B explicit RG-flow analysis.

Key Math notes

• Math59
• Math59-v3
• Math195
• Math404
• Math405

Open questions

See Open-questions for active items tagged with P10. GitHub Issues with the same label provide discussion threads: issues with P10 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.