This work explores the internal consequences of the Cymalogy framework through atomic-scale observables. We focus on quantum beats in Rydberg wave packets, as measured in the "quantum watch" experiment (Berholts et al., 2022). Within this framework, these interference patterns admit a consistent interpretation in terms of discrete causal structures ("khrons") that extend de Broglie's internal-clock hypothesis (1924) to a multi-sheet metageometry. Main result: we show that a specific class of periodic corrections to Rydberg energy levels cannot be absorbed (in the sense of linear representability) by standard Drake–Ritz quantum defect models. This is a mathematical result, independent of the physical interpretation. Numerical analysis on helium Rydberg states (n = 10–50) indicates that the corresponding signal, with a dominant spectral component at f = 1/2 cycle/n (parity alternation), would survive standard fitting procedures and lies above the intrinsic sensitivity demonstrated in Berholts et al. (2022). Under an explicit scaling assumption, the framework also predicts a relation linking atomic and cosmological amplitudes. This result is conditional and presented as an internal consequence of the model. A concrete reanalysis protocol is proposed for existing quantum-beat data (Berholts-type setups). This work does not claim to establish the full physical validity of the framework, but identifies a testable spectral signature and clarifies its mathematical properties.
Xavier J. Régent (Mon,) studied this question.