![Author ORCID: We display the ORCID iD icon alongside authors names on our website to acknowledge that the ORCiD has been authenticated when entered by the user. To view the users ORCiD record click the icon. [opens in a new tab]](https://www.cambridge.org/engage/assets/public/coe/logo/orcid.png){kind=logo}
Abstract
Three companion case studies on the Hamada mechanism, causal fermion systems, and loop quantum cosmology suggest a common structural question: when has an asymmetry formula earned the descendant language it uses? This note formulates a gate-and-kernel answer. In a first descendant regime where linear evolution is meaningful, the observable asymmetry is written as a gated transport law. The transport identity itself is standard variation of parameters; the useful claim is the decom- position around it. Gates are built from calibrated witness maps for ordering, geometry, current basis, thermal support, EFT control, and, when needed, transport-state admissibility. The thresholds are inherited from the control inequalities of the chosen reduction rather than fitted to the desired baryon yield, which makes the framework prospective as well as retrospective. A baryon-channel support diagnostic then yields a three-category classification of published formulas. The kernel representation is placed inside a five-layer architecture linking emergence criteria, background realization, primitive source and transfer, descendant transport, and final readout. Tests include the Hamada/CFS/LQC triad, standard thermal leptogenesis, and a harder resonant-leptogenesis stress test in which witness maps select between a diagonal Boltzmann reduction and a density-matrix description. The result is a reusable audit and model-building scaffold for asymmetry generation on emergent backgrounds. https://doi.org/10.5281/zenodo.18924919 https://doi.org/10.5281/zenodo.18923265 https://doi.org/10.5281/zenodo.18927072
Supplementary materials
Title
When Is LQC Gravitational Baryogenesis Admissible? A Threshold Reanalysis of Loop Quantum Cosmology Gravitational Baryogenesis
Description
This paper applies a threshold reanalysis to Odintsov and Oikonomou’s Loop Quantum
Cosmology Gravitational Baryogenesis. The target is different from the corrective and
confirmatory case-study types that motivated the framework. Here the question is not
whether the source variable is too specialized, nor whether the source paper was already
wholly safe. The question is whether the mechanism assumes more active sectors than its
headline warrants.
Actions
Title
Clock, Geometry, Matter, and Source Variables in the Causal-Fermion-Systems Baryogenesis Line: A Threshold Reanalysis of A Mechanism of Baryogenesis for Causal Fermion Systems
Description
This note applies a minimal threshold framework to the causal-fermion-systems baryogen-
esis line, centered on Finster, Jokel, and Paganini’s A Mechanism of Baryogenesis for Causal
Fermion Systems. The framework separates three sector checks — clock, geometry, and
matter — and asks when asymmetry equations are actually writable.
Actions
Title
Clock, Geometry, Matter, and Asymmetry in a Geometry-Triggered Baryogenesis Model: A Threshold Reanalysis of Baryogenesis by Quantum Gravity
Description
This paper applies a minimal threshold framework to one concrete mechanism: Hamada,
Minamizaki, and Sugamoto’s Baryogenesis by Quantum Gravity. The framework distinguishes
three sector thresholds — clock, geometry, and matter — and asks when asymmetry equations
are admissible at all. Two framework results are used.
Actions
