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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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PAPER-Ω: Time from Geometry: Multi–Layer Temporality and Phase Locking in a Six–Dimensional Symplectic Framework

Authors: ZHAI XINGYUN;

PAPER-Ω: Time from Geometry: Multi–Layer Temporality and Phase Locking in a Six–Dimensional Symplectic Framework

Abstract

We formulate a geometric framework for temporality within a six–dimensional symplectic setting in which time is not introduced as a primitive background parameter, but appears through a hierarchy of structural readouts. Four temporal regimes are identified: Hamiltonian flow time, internal phase time, effective Lorentzian time, and entropy–ordered cosmological temporality. These are interpreted as related projections of a common underlying symplectic carrier. On this basis, we introduce the notion of temporal unification: locally defined phase clocks become globally comparable under admissible convergence and phase locking, thereby yielding an effective observable time coordinate. We further argue that residual relative phases surviving incomplete temporal unification induce a metric structure, providing a geometric interpretation of emergent space as residual phase geometry. The paper is intended as a foundational synthesis. It organises the chain tension structure → Hamiltonian / translation structure → energy readout → time as flow parameter, and isolates the principal conjectural bridges linking convergence, coherence, observable temporality, and emergent spatial dimension.

Keywords

Six-Dimensional Symplectic Framework, Phase Locking, Time from Geometry, Multi-Layer Temporality, Temporal Unification, Global Comparability, Residual Phase Geometry, Emergent Space

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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
Average
Average
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