Draft Technical Note: Order-of-Magnitude Consistency Test of Temporal Reassignment Effects in Temporal Membrane Theory
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2026
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| _version_ | 1866901731383705600 |
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| author | Sato, Tetsuya |
| author_facet | Sato, Tetsuya |
| contents | <p>Temporal Membrane Theory (TMT) proposes that certain large-scale observational discrepancies may be interpreted as systematic reassignment effects in observational time, without modifying spatial geometry or local dynamical laws.</p> <p>In this technical note, we present a minimal order-of-magnitude consistency test of the temporal reassignment effect under a single effective parameter assumption. Without introducing redshift-dependent functions or additional dynamical degrees of freedom, we estimate the effective path-averaged temporal membrane density required to produce apparent gigayear-scale time compression at high redshift (z ≈ 10).</p> <p>We find that the required effective values lie in the range 10⁻²–10⁻¹, remaining finite and non-divergent. We further compare this magnitude with the precision scale implied by strong-lensing time-delay measurements at intermediate redshift (z ≈ 1–3), and find no immediate order-of-magnitude contradiction under conservative assumptions.</p> <p>This analysis does not constitute a full multi-probe cosmological fit. Instead, it serves as a bounded consistency check demonstrating that the temporal reassignment framework operates within a physically natural parameter regime. Further observational constraints and structural modeling are required to determine whether a fully consistent cosmological evolution scenario can be established.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18672764 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Draft Technical Note: Order-of-Magnitude Consistency Test of Temporal Reassignment Effects in Temporal Membrane Theory Sato, Tetsuya <p>Temporal Membrane Theory (TMT) proposes that certain large-scale observational discrepancies may be interpreted as systematic reassignment effects in observational time, without modifying spatial geometry or local dynamical laws.</p> <p>In this technical note, we present a minimal order-of-magnitude consistency test of the temporal reassignment effect under a single effective parameter assumption. Without introducing redshift-dependent functions or additional dynamical degrees of freedom, we estimate the effective path-averaged temporal membrane density required to produce apparent gigayear-scale time compression at high redshift (z ≈ 10).</p> <p>We find that the required effective values lie in the range 10⁻²–10⁻¹, remaining finite and non-divergent. We further compare this magnitude with the precision scale implied by strong-lensing time-delay measurements at intermediate redshift (z ≈ 1–3), and find no immediate order-of-magnitude contradiction under conservative assumptions.</p> <p>This analysis does not constitute a full multi-probe cosmological fit. Instead, it serves as a bounded consistency check demonstrating that the temporal reassignment framework operates within a physically natural parameter regime. Further observational constraints and structural modeling are required to determine whether a fully consistent cosmological evolution scenario can be established.</p> |
| title | Draft Technical Note: Order-of-Magnitude Consistency Test of Temporal Reassignment Effects in Temporal Membrane Theory |
| url | https://doi.org/10.5281/zenodo.18672764 |