This theoretical exploration derives a parameter-free relational timer from quantum channels, suggesting time measures change itself.
Time is ordinarily treated as an independent parameter against which physical change is measured. This paper instead derives a parameter-free relational timer from a microscopic quantum channel that exhibits both irreversible transfer and coherent return. These behaviours arise as different resolutions of the same spectral dynamics: continuum projection produces Fermi-golden-rule growth, while resolved spectral structure preserves oscillatory return. Irreversible information and coherent phase can therefore be measured directly against one another, causing the auxiliary ordering parameter to cancel. The resulting invariant relation provides an operational measure of change against change. The derivation is then contextualised through the Cogenetic ontology of the singularity of now, in which time is a projected measure of relational change rather than a fundamental background. The conventional quantum-channel result and its Cogenetic interpretation are explicitly distinguished. Supporting material includes the manuscript source, compiled paper, citation and Zenodo metadata, symbolic and numerical verification scripts, a machine-readable validation report, and cryptographic checksums. All 21 release checks pass.
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Petrik et al. (2026) studied this question.
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