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Technical framework unifying Barbour’s timeless cosmology with CPT-symmetric Siamese phase dynamics. Shows time emerging from a stability threshold (mφ,crit≈1.965) derived from nonlinear ODE scans. Repository includes full translations: English, Spanish, Russian, Chinese.

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CosmicThinker25/Emergent-Time-from-Phase-Dynamics-The-Barbour-Siamese-Framework

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Timeless Quantum Cosmology and the Siamese Phase Framework

This repository contains the full research package associated with the paper
“Timeless Quantum Cosmology and the Emergence of Phase Time: A Refined Barbour–Siamese Correspondence.”

The project unifies Barbour’s timeless quantum cosmology with the CPT-symmetric Siamese Phase Cosmology, demonstrating that time emerges dynamically from a critical phase-transition mechanism. Numerical simulations reveal a robust critical phase-mass threshold (mφ,crit ≈ 1.965) that determines whether the Universe remains in a perfectly synchronized timeless state (Δφ = 0) or bifurcates into two CPT-conjugate emergent histories. The work also identifies a shallow rotational resonance (krot ≈ 0.33) acting as a catalyst for temporality.

This repository includes:

  • Full LaTeX source of the Barbour–Siamese correspondence paper
  • The conceptual phase-portrait figure illustrating the unified framework
  • Numerical and conceptual documentation linking phase dynamics to timeless cosmology
  • Four complete PDF versions of the paper: English, Spanish, Russian, and Chinese, to ensure broad global accessibility
  • Zenodo archival record and citation metadata

Zenodo DOI: https://doi.org/10.5281/zenodo.17825510

This work provides a unified theoretical bridge between foundational philosophy of time and nonlinear cosmological dynamics, offering a mechanistic explanation for the emergence of time within a CPT-symmetric universe.