A Permutation-Invariant Test Reveals a Reproducible Global Synchrony Pulse (τ) in the International Atomic Clock Network
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2026
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| _version_ | 1866902233111592960 |
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| author | Al-Mayahi, Abdulsalam |
| author_facet | Al-Mayahi, Abdulsalam |
| contents | <p>International atomic time is realized through a geographically distributed ensemble of time laboratories contributing local realizations UTC(k). The Bureau International des Poids et Mesures (BIPM) Circular T series publishes the differences [UTC − UTC(k)] at regular 5-day epochs for ~80 laboratories worldwide, providing a uniquely public record of global clock-network dynamics.</p> <p>We introduce a permutation-invariant synchrony observable, Λ_sync, defined as the ratio of common-mode energy to orthogonal residual energy across laboratories at each epoch. To test whether the observed global common-mode component can arise under independent laboratory dynamics, we construct a circular-shift null model that breaks inter-laboratory temporal alignment while preserving each laboratory’s marginal distribution and autocorrelation structure.</p> <p>Under a fully specified and closed computational protocol applied to Circular T bulletins 453–457, the analysis yields:</p> <p>Λ_obs = 1.3913, <strong>p = 3.60 × 10⁻⁴</strong> (n_perm = 50,000), rejecting the independent-noise null at the 1 % level.</p> <p>We interpret this statistically irreducible global common-mode component as evidence for a physically real global synchrony pulse and denote its configuration-invariant degree of freedom as internal time τ, in agreement with the Two-Clock Projection Law (Al-Mayahi, 2026d).</p> <p>All source code, fixed parameters, laboratory inclusion criteria, and the full reproducibility bundle are provided.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18764850 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Permutation-Invariant Test Reveals a Reproducible Global Synchrony Pulse (τ) in the International Atomic Clock Network Al-Mayahi, Abdulsalam atomic clock synchrony; internal time; Two-Clock Projection Law; permutation test; BIPM Circular T; configuration invariance; global common-mode dynamics; metrological networks; time-series statistics; τ-framework <p>International atomic time is realized through a geographically distributed ensemble of time laboratories contributing local realizations UTC(k). The Bureau International des Poids et Mesures (BIPM) Circular T series publishes the differences [UTC − UTC(k)] at regular 5-day epochs for ~80 laboratories worldwide, providing a uniquely public record of global clock-network dynamics.</p> <p>We introduce a permutation-invariant synchrony observable, Λ_sync, defined as the ratio of common-mode energy to orthogonal residual energy across laboratories at each epoch. To test whether the observed global common-mode component can arise under independent laboratory dynamics, we construct a circular-shift null model that breaks inter-laboratory temporal alignment while preserving each laboratory’s marginal distribution and autocorrelation structure.</p> <p>Under a fully specified and closed computational protocol applied to Circular T bulletins 453–457, the analysis yields:</p> <p>Λ_obs = 1.3913, <strong>p = 3.60 × 10⁻⁴</strong> (n_perm = 50,000), rejecting the independent-noise null at the 1 % level.</p> <p>We interpret this statistically irreducible global common-mode component as evidence for a physically real global synchrony pulse and denote its configuration-invariant degree of freedom as internal time τ, in agreement with the Two-Clock Projection Law (Al-Mayahi, 2026d).</p> <p>All source code, fixed parameters, laboratory inclusion criteria, and the full reproducibility bundle are provided.</p> |
| title | A Permutation-Invariant Test Reveals a Reproducible Global Synchrony Pulse (τ) in the International Atomic Clock Network |
| topic | atomic clock synchrony; internal time; Two-Clock Projection Law; permutation test; BIPM Circular T; configuration invariance; global common-mode dynamics; metrological networks; time-series statistics; τ-framework |
| url | https://doi.org/10.5281/zenodo.18764850 |