What question did this study set out to answer?

To establish rigorous structural conditions that determine when a state-dependent clock corresponds to genuine physical dynamics rather than an unphysical reparameterization of time.

August 15, 2026Open Access

When Does a Clock Become Physical? Reparameterization No-Go and Residual Clock–Generator Coupling

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BLByoungwoo Lee

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Implication

Theoretical study reveals structural criteria distinguishing physical clocks from mathematical time reparameterizations, indicating that relational, covariant, or operator nonscalarity ensures...

Key Points

To establish rigorous structural conditions that determine when a state-dependent clock corresponds to genuine physical dynamics rather than an unphysical reparameterization of time.
Formulated a positive-lapse reparameterization no-go theorem as an initial screening gate for state-dependent clock models.
Constructed a minimal gauge-invariant realization using a residual one-form to source operational lapse and residual generator-cost forms across clock networks.
Identified three mechanisms that survive the no-go gate: relational nonuniversality across clock sectors, covariant lapse-response Hilbert stress, and spectral operator nonscalarity on energy support.
Demonstrated that in connected clock comparison networks, global common modes cancel while the cycle-space component provides an exact noiseless compatibility test for scalar vertex models.

Cite This Study

Byoungwoo Lee (2026) studied this question.

synapsesocial.com/papers/6a801a3a75c2e31742c86da5 https://doi.org/10.5281/zenodo.21911932

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Implication

Theoretical study reveals structural criteria distinguishing physical clocks from mathematical time reparameterizations, indicating that relational, covariant, or operator nonscalarity ensures...

When Does a Clock Become Physical? Reparameterization No-Go and Residual Clock–Generator Coupling

Discussion

Member takes

Implication

Key Points

Cite This Study

When Does a Clock Become Physical? Reparameterization No-Go and Residual Clock–Generator Coupling

Discussion

Member takes

Implication

Key Points

Cite This Study

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