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Other literature type . 2026
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Research . 2026
License: CC BY
Data sources: Datacite
ZENODO
Research . 2026
License: CC BY
Data sources: Datacite
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From Proper Time to Update Index: A Pre-Metric Construction of Time in Finite-Trace Systems

Authors: Yorisuna, Tomoyuki;

From Proper Time to Update Index: A Pre-Metric Construction of Time in Finite-Trace Systems

Abstract

This paper clarifies the relationship between Special and General Relativity and the Bottleneck-Normalized Computational Theory (BNCT). While relativity treats time as a continuous metric coordinate embedded in a spacetime manifold, BNCT identifies time as a monotone index generated by irreversible updates under finite trace capacity. We demonstrate that BNCT does not contradict the relativistic framework. Instead, it formalizes the generative layer of time upon which the relativistic representation layer remains silent. By introducing a register-determined reconstruction assumption, we prove the necessity of structural dissipation (slip) in any finite system. BNCT does not derive spacetime metrics; it specifies pre-metric generative constraints under finite trace capacity. This layered interpretation resolves the apparent tension between the block-universe symmetry of relativity and the experienced unidirectionality of time, without modifying relativistic field equations or introducing observer-dependent assumptions.

Keywords

finite systems, irreversibility, special relativity, computational physics, general relativity, arrow of time, information loss, pre-metric time, time, monotone index

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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