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March 30, 20260 citationsOpen Access

Time as Compressed Structure: A Projection-Based Limit on Temporal Reconstruction within the Paton System

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APAndrew John Paton

Key Points

  • This research aims to explore limitations in observing temporal reconstruction from spatial data.
  • Applied the Paton System framework
  • Defined structural constraints in observational systems
  • Analyzed the relationship between observable history and present comoving extent
  • Identified that temporal reconstruction is non-unique from spatial structure
  • Demonstrated that multiple histories are compressed into single configurations
  • Established a core datum line linking observable time and distance

Abstract

This paper formalises a structural limitation inherent in observational systems: the non-uniqueness of temporal reconstruction from spatially observed structure. Using the Paton System framework, it is shown that recursive formation embeds lineage within structure, but projection into an observational frame compresses multiple admissible histories into a single observable configuration. A core datum line, defined by the relationship between observable history (~13.8 billion years) and present comoving extent (~46 billion light-years), anchors observation within this structure. The observable region is radially defined relative to the local datum but does not imply a global centre. The result is a constraint on reverse inference: time is not absent, but compressed into form.

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Cite This Study

Andrew John Paton (2026) studied this question.

synapsesocial.com/papers/69c9c553f8fdd13afe0bd44bhttps://doi.org/10.5281/zenodo.19275190
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