Integrity Dashboard

The live register of all CPT framework claims, integrity-tagged [E]/[M]/[O]/[F]. The ground truth for community submission screening and for readers evaluating framework claims.

What the integrity register is

Every significant claim in the framework has a finding ID, a status tag, a source document, and a page link.

Summary Statistics (August 2026)

[E] Established: ~45 results
[M] Mature: ~28 results
[O] Open: ~18 results
[F] Forbidden: ~4 results

Methodology

Claims are evaluated against topological rigor, empirical match, and formal stability.[E] means the geometric proof is complete.[M] indicates model-reproduced results consistent with all constraints; not yet first-principles.[O] are current research directions.[F] means the hypothesis has been mathematically or empirically shown to be forbidden.

Recent Updates

Most recently frozen results: wave-mechanical α [E] August 2026, T(1,1) freeze [E], BN4 π-freeze [E].

11Established

4Mature

4Open

1Forbidden

ID	Claim	Section	Evidence / Note	Page
`FD-01`	T(1,1) exchange on Hopf atlas gives FR phase −1	Particles	FR theorem; self-link(T(1,1))=1, odd → fermionic	View →
`FD-02`	Pauli exclusion emergent from topological exchange	Particles	T(1,1) identically occupied yields null function	View →
`FD-03`	Half-integer spin corresponds precisely to odd self-link	Particles	Direct mapping of SO(3) rotation to S³ Hopf fiber	View →
`EM-01`	Electron as minimal T(1,1) knot	Particles	Topological invariants match elementary charge and spin	View →
`EM-02`	Charge quantization strictly geometric	Electrodynamics	Winding numbers natively restricted to integers	View →
`GR-01`	Mass emergent from electromagnetic drag	Gravity	Weber force low-velocity limit yields F=ma	View →
`GR-02`	Mach's Principle naturally satisfied in S³	Gravity	Finite M_U leads to convergent Mach sum	View →
`BN-01`	Pair production as topological bubble nucleation	Cosmology	Topology conservation demands mirror knot creation	View →
`BN-02`	Antimatter is merely reversed Hopf orientation	Particles	T(p,q) vs T(q,p) mapping aligns with CPT symmetry	View →
`BN-03`	BN4 pi-freeze accurately models decay width	Particles	Matches pi-zero decay lifetime to 4 sig figs	View →
`HD-01`	Stability of T(1,1) under smooth deformations	Validation	Knot polynomials invariant under ambient isotopy	View →
`EM-03`	Photon as unconfined T(0,∞)	Electrodynamics	Geometric limit matches massless propagation at c	View →
`GR-03`	Derivation of Newton's G from double-copy	Gravity	Numerical estimates agree within error bars	View →
`NUC-01`	Proton topological structure is T(2,3)	Nuclear	Charge +1 and mass constraints compatible	View →
`NUC-02`	Neutron as composite T(2,3) + T(1,1)	Nuclear	Explains decay pathway and timescale	View →
`HD-02`	Muon as higher-frequency T(1,1) excitation	Particles	Topologically identical, dynamically distinct; mechanisms TBC	View →
`HD-03`	Tau lepton geometric mode	Particles	Scaling laws hint at 3-level hierarchy	View →
`NUC-03`	Octonion flavour structures	Nuclear	Mathematical extension to 8D provides quark generation analogue	View →
`NUC-04`	Weak force as near-field topological untying	Nuclear	Geometric constraint release mechanism proposed	View →
`GR-04`	Dark matter as bulk S³ curvature variation	Cosmology	Contradicts local rotation curve profiles	View →