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March 13, 20260 citationsOpen Access

Fluid Cosmic Crystal Theory (FCCT v0.2): Structural Dynamics of the Vacuum, Emergent Gravity, and Cosmological Evolution

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BMBoris Calderon MartinezSigma Research (United States)

Key Points

  • The aim is to present a dynamic framework of the vacuum that explains late-time cosmological acceleration and emergent gravity.
  • Developed Version 0.2 of Fluid Cosmic Crystal Theory (FCCT)
  • Introduced dimensionless structural control parameter ($\chi$)
  • Established coupled structural evolution equations
  • Derived a modified Poisson equation for an inhomogeneous elastic medium
  • Demonstrated how thermodynamic collapse of vacuum rigidity leads to dark energy equivalence
  • Recovered the asymptotic Baryonic Tully-Fisher Relation at the galactic scale
  • Provided a testable elastodynamic mechanism for emergent gravity without requiring dark matter halos

Abstract

This submission presents Version 0. 2 of the Fluid Cosmic Crystal Theory (FCCT), advancing the framework from a static elastic lattice model to a fully dynamic thermodynamic substrate. This updated theoretical framework introduces a dimensionless structural control parameter () to mathematically quantify the competition between macroscopic vacuum coherence and topological defect accumulation. By establishing a system of coupled structural evolution equations, FCCT v0. 2 demonstrates how the thermodynamic collapse of vacuum rigidity naturally yields late-time cosmological acceleration (Dark Energy equivalence) through a state of meta-stable dynamic equilibrium. Furthermore, the model derives a modified Poisson equation for an inhomogeneous elastic medium that exactly recovers the asymptotic Baryonic Tully-Fisher Relation at the galactic scale. This provides a rigorous, testable elastodynamic mechanism for emergent gravity that fundamentally eliminates the necessity for particulate Dark Matter halos.

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Cite This Study

Boris Calderon Martinez (2026) studied this question.

synapsesocial.com/papers/69b3ad1302a1e69014ccf5c1https://doi.org/10.5281/zenodo.18964100
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