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March 28, 20260 citationsOpen Access

Expansion Does Not Imply Collapse: Constraint-Driven Convergence in Recursive Systems

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APAndrew John Paton

Key Points

  • This work investigates how global constraints determine the long-term trajectory of the universe, challenging traditional views on expansion and collapse.
  • Reinterpretation of cosmic outcomes within the Paton System
  • Examination of constraint dominance effects on dynamical evolution
  • Positioning cosmology within Tier-8 framework
  • Expansion and collapse are reframed as contingent outcomes based on governing constraints
  • Introduces a new perspective on cosmic scenarios like Big Crunch and Big Bounce
  • Suggests that cosmic persistence depends on the type of constraints at play

Abstract

The long-term fate of the universe is commonly framed as a choice between perpetual expansion and eventual collapse. Standard cosmological models describe these outcomes through dynamical evolution governed by dark energy and gravity. This paper introduces a structural reinterpretation within the Paton System: cosmic fate is determined by constraint dominance at the global level. Expansion and collapse are not inevitable endpoints, but contingent outcomes arising from which constraint field governs continuation. By positioning cosmology within Tier-8 (continuity horizon), this work reframes expansion, Big Crunch, and Big Bounce scenarios as admissibility outcomes under global constraint conditions. The universe persists not according to motion alone, but according to which constraints permit continued existence.

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Cite This Study

Andrew John Paton (2026) studied this question.

synapsesocial.com/papers/69c772938bbfbc51511e337dhttps://doi.org/10.5281/zenodo.19230049
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