Clock, Geometry, Matter, and Asymmetry in a Geometry-Triggered Baryogenesis Model: A Threshold Reanalysis of Baryogenesis by Quantum Gravity

This paper applies a minimal threshold framework to one concrete mechanism: Hamada,Minamizaki, and Sugamoto’s Baryogenesis by Quantum Gravity. The framework distinguishesthree sector thresholds — clock, geometry, and matter — and asks when asymmetry equationsare admissible at all. Two framework results are used. First, retarded kinetic equations are notwell-posed before a clock sector is active. Second, baryonic variables are not admissible beforea matter sector supplies a corresponding charge basis. Applied to the Hamada mechanism, thefirst result is mainly classificatory and error-preventing rather than corrective: the asymmetryequations are not written at the spacetime transition itself, but only in a descendant low-energy regime below ΛQG and after the conformal-to-Einstein transition, where a Friedmannbackground, cosmological time, and ordinary matter currents are already assumed. In thepresent language, the calculational regime of the mechanism is therefore post-threshold with(IC , IG, IM ) = (1, 1, 1), while the geometry transition acts as the trigger for the source termrather than the stage on which the kinetic equations are first defined. The second resultis stronger. In the gauge-anomaly channel the source acts on baryon and lepton currentsdirectly; in the gravitational-anomaly channel the sourced quantity is lepton number andbaryon number appears only later through sphaleron conversion. The threshold-safe sourcevariable is therefore a generic visible asymmetry, specialized to baryon or lepton number onlyonce the anomaly channel and later processing are specified. The paper gives an explicitchannel-first rewrite of the Hamada source equations that makes this distinction manifest.The point is not to overturn the mechanism. The point is to show that a threshold frameworkcan sharpen it in a way that changes writing practice as well as description.