BPR 2.0 — Honest Status
What changed, what forced it, what survived, and what is still unproven. Every claim below is locked by tests in the repository.
BPR 1.0 treated the substrate's boundary as a scalar, Abelian phase field. A sealed, blind benchmark proved that structure cannot produce the particle sector reality contains. BPR 2.0 changes one thing: the rotation-and-mirror symmetry the quasicrystal substrate always had is promoted from decoration to a gauge force. The flavor predictions survive unchanged; the new sector is possible but unproven.
1.0 → 2.0, at a glance
The upgrade touches one postulate. Everything else is inherited.
What forced the change
A sealed, blind glueball benchmark — targets locked before any spectrum was computed, solver mechanically forbidden from reading them.
Path B milestones
| Milestone | Content | Status |
|---|---|---|
| M1 | Gauge-sector kinematics from the frozen point group A2 pseudoscalar charge exists for every allowed class; Ek spin doublets; quantum-double sum rule verified exactly. | done |
| M2 | Freeze a dynamics beyond the topological point Canonical Wilson Hamiltonian, one coupling; exact electric Casimirs computed. Monte Carlo (Z2-anchored) locates the transition: βc ≈ 1.9–2.2 across the four classes, volume-stable. Physical coupling derived two independent ways from frozen inputs (β = ln p ≈ 1/(4πα) ≈ 11.2, agree to 6%): the substrate sits ~5× into the deconfined/topological phase — physical excitations are the M1 anyons, not confined flux loops. PROPOSED; kill condition: a >5× Euclidean↔Hamiltonian calibration shift. | form frozen βc located λ derived (proposed) |
| M3 | Flavor-sector survival under gauging (kill condition) Charge sectors partition the spectrum exactly — gauging relabels states, never moves an energy. All LHCb pre-dictions unchanged. | pass |
| M4 | Sealed Benchmark v3 — same targets, same blindness Channel-correlator machinery built (0++/2++/parity-odd precursors) with hard statistical gates that withhold ratios until plateaus converge. Gates fail at laptop statistics — blocker is now compute, not method. Envelope stays sealed. | machinery built sealed |
proposed Postulate 0d is not merged into the frozen core. No spectrum exists. No glueball claim is made.
Unchanged: the registered flavor predictions
These were locked before measurement and pass through the 2.0 upgrade numerically identical. They are the framework's real scoreboard.
| Observable | BPR value | Decided by |
|---|---|---|
| Ξcc* hyperfine splitting | 85.9 MeV | LHCb |
| Ωcc* hyperfine splitting | 94.3 MeV | LHCb |
| Ξbb* hyperfine splitting | 28.3 MeV | LHCb |
| Ωbb − Ξbb splitting | 100.3 MeV | LHCb |
| Ωccc mass | ≈ 4900 MeV | LHCb |
| Casimir deviation exponent | δ = 2 (derived) | precision Casimir |
The two decision points
Confirm → the flavor sector is real signal and the 2.0 rebuild is worth completing. Refute → the last live positive program ends and BPR is archived as a documented negative result.
Higher-order strong coupling or Monte Carlo of the frozen Hamiltonian on S², with emergent JPC. Only then does the sealed v3 envelope open — against the same lattice targets, untouched.