Chamber XXXV: Ω→τ Coupled Pipeline
Purpose: This chamber tests whether τ-operators become admissible only after Ω4b selection by measuring residual contraction, macro-invariant protection, and τ-locking windows.
🔬 HIGGS-MODE: Extended Protocol
⚠️ CRITICAL HONESTY GUARDRAIL:
Higgs-mode tests
structural patterns of selection-gated stabilization. It does
NOT:
- Compute Higgs mass or couplings from SM parameters
- Map GeV values to seeds or operator parameters
- Replace quantum field theory calculations
- Claim to derive the Standard Model
It tests whether a τ-operator exhibits
Higgs-like behavior: failing pre-Ω, passing post-Ω, and showing structural isolation under perturbation.
Seven-Stage Protocol
Stage A — Pre-Ω Gate Test:
Apply τ to raw ensemble E before Ω4b. Higgs-like expectation: FAIL (destabilization)
Stage B — Post-Ω Admissibility:
Standard Chamber XXXV pipeline: E → Ω4b(E) → τ(Ω4b(E)). Higgs-like expectation: PASS
Stage C — Structural Fragility:
C1. Parameter perturbations: λ, μ, T variants
C2. Temporal fragility: depth window testing
Higgs-like: narrow admissibility region (Fragility Index I ≥ 0.5)
Stage D — Multi-Seed Consistency:
Repeat A→B across N seeds. Higgs-like: consistency ≥ 0.8 (robust pattern, not lucky seed)
Stage E — Ω-Layer Selectivity:
Test τ with different Ω configurations. Higgs-like: low selectivity ≤ 0.3 (requires specific Ω geometry)
Stage F — SM-Control Test:
Generate random ensembles with same statistics as SM-like. Higgs-like: τ passes on structured, fails on most random
Stage G — φ-Resonance Probe (Experimental):
Link to Chamber XIV: check if optimal parameters show golden ratio (φ ≈ 1.618) signatures
Falsification Criteria
All 7 criteria must pass for "HIGGS-LIKE" classification:
- F1: Pre-Ω FAIL (gate dependence)
- F2: Post-Ω PASS (admissibility emerges)
- F3: Fragility I ≥ 0.5 (structural isolation)
- F4: CR ≤ 0.3 (strong contraction)
- F5: Multi-seed consistency ≥ 0.8
- F6: Ω-selectivity ≤ 0.3 (geometry-specific)
- F7: SM-control specificity (not generic)
Classification:
- HIGGS-LIKE: All 7 criteria pass
- PARTIAL: 5-6 criteria pass
- NOT HIGGS-LIKE: ≤4 criteria pass
What This Result Would Mean:
If a τ-operator is classified as HIGGS-LIKE, this suggests:
• Mass-generating stabilization is structurally constrained, not arbitrary
• Higgs-like behavior requires prior selection (Ω-gating)
• Extensions are structurally isolated (explains null BSM results post-2012)
• This does NOT compute particle masses, it constrains which stabilizations are possible
Falsification: Discovery of multiple Higgs doublets, continuous coupling deviations, or large Higgs portal physics would falsify the isolation claim.
Recommended Workflow
- Standard Mode: Higgs-mode OFF, run normal Ω→τ pipeline for validation
- Higgs-Mode Quick Test: Enable Higgs-mode, use default seeds (5), all stages enabled
- Publication Run: Multi-seed count = 10, both τB and τE tested, export JSON for each
- Cross-Chamber Validation: If φ-resonance detected, compare with Chamber XIV results