What question did this study set out to answer?

The aim is to develop a framework for comparing different timing systems without assuming a unique definition of time.

August 12, 2026Open Access

Clock Transformation and Temporal Provenance: Testing Common Progression Across Atomic, Cosmological, and Geometric Clocks

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Authors

MHMatthew Hall

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Implication

This preprint develops a framework testing the relationship between distinct timing systems, indicating how clock changes affect physical predictions.

Key Points

The aim is to develop a framework for comparing different timing systems without assuming a unique definition of time.
Derives first- and second-derivative reparameterization laws.
Introduces quantitative diagnostics like the Clock Dependence Index and observability-rank tests.
Performs illustrative calculations using flat Lambda-CDM models and examines multiple clock variables.
Different clock coordinates can yield a maximum relative error of approximately 47.7% in physical predictions.
Clock transformations maintained event ordering but exhibited significant internal variation in timing intervals.
Proposes methods for validating the consistency of independently constructed clocks via clock-triangle and loop-closure tests.

Cite This Study

Matthew Hall (2026) studied this question.

synapsesocial.com/papers/6a7c3d1906a85aed514b7c01 https://doi.org/10.5281/zenodo.21866651

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Implication

This preprint develops a framework testing the relationship between distinct timing systems, indicating how clock changes affect physical predictions.

Clock Transformation and Temporal Provenance: Testing Common Progression Across Atomic, Cosmological, and Geometric Clocks

Discussion

Member takes

Implication

Key Points

Cite This Study

Clock Transformation and Temporal Provenance: Testing Common Progression Across Atomic, Cosmological, and Geometric Clocks

Discussion

Member takes

Implication

Key Points

Cite This Study

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