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Structural Differentiation Time (SDT) v1.2: A Decisive Observational Test of Emergent Time

Authors: Okino, Koji;

Structural Differentiation Time (SDT) v1.2: A Decisive Observational Test of Emergent Time

Abstract

This work presents Structural Differentiation Time (SDT) v1.2, a minimal and falsifiable framework in which time is not treated as a background parameter, but as an emergent observable generated through irreversible structural differentiation. Building on SDT v1.0 (definition) and SDT v1.1 (dynamics), this version introduces explicit observational signatures and a decisive test capable of distinguishing structurally generated time from externally imposed temporal frameworks. The framework is based on the minimal structural mapping: τ(D) = 1 − exp(−λD) and its dynamical evolution: dτ/dt = (dτ/dD)(dD/dt) A key contribution of this work is the decomposition of observed temporal deviation: Δτ_obs = Δτ_rel + Δτ_struct This implies that systems under identical relativistic conditions may exhibit distinguishable temporal behavior if their internal structural differentiation differs. Core claim:Identical relativistic background does not guarantee identical temporal evolution. This leads to a decisive observational test:- General Relativity predicts no temporal separation under identical conditions- SDT predicts structure-dependent temporal splitting If validated, this result establishes time as a physically testable consequence of structural dynamics. The framework further suggests deep structural connections across physical domains:- SDT–SDQ: quantum decoherence may follow structural temporal rate- SDT–SDC: cosmological time may be structure-dependent All figures are fully reproducible using the provided Python implementation, ensuring transparency and reproducibility. This work advances SDT from a conceptual and dynamical framework to a directly testable physical theory.

Keywords

time, emergent time, structural differentiation, SDT, temporal dynamics, relativistic time, quantum decoherence, cosmological time, falsifiable theory, observational test, physics, fundamental physics, Physics → General Physics

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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!
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