Working research monograph
Planck to Quark
Gauge Structure, Chiral Matter, and the Microscopic Closure No-Go
September 12, 2026
Status: Microscopic closure no-go
By Joshua Johosky
Research summary
Tests whether the GOI framework can close from gravitational-scale structure into internal gauge and matter structure. It develops conditional N=5 and three-generation minimality results while proving that the current axioms do not uniquely determine the physical transport law.
Claim boundary
The present axioms do not uniquely determine the causal CPTP transport law, Yukawa matrices, quark masses, or CKM matrix. Conditional algebraic structures are not presented as a unique physical derivation.
The paper explores a five-dimensional carrier, a 3+2 internal phase, anomaly cancellation in a restricted exterior packet, and flavor orientation. Within declared restricted classes, several minimality results single out N=5 or three generations.
The decisive closure result is negative. Families of admissible transport laws can share lower-order structure while differing in higher-order orientation, and generator rescaling can preserve dimensionless bind kinematics. The current axioms therefore underdetermine the physical transport law.
That no-go is treated as a result rather than hidden by parameter fitting. Reopening the particle branch requires new physical input that is independently motivated rather than chosen to reproduce the desired Standard Model data.
Research themes
GOI · gauge structure · chirality · particle physics · no-go