Chronon Phase Transition Cosmology: A Unified Framework for Emergent Spacetime, Dark Matter, and Dark Energy
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Description
This paper introduces Chronon Phase Transition Cosmology (CPTC), a unified theoretical framework in which spacetime geometry, causal structure, and cosmic matter content emerge from a critical phase transition in a fundamental temporal vector field, Phi^mu(x), termed the Chronon field. The Big Bang is reinterpreted not as a singularity, but as a continuous symmetry-breaking event that spontaneously aligns this field, inducing a global foliation of spacetime—the Real Now—and establishing the arrow of time.
• Dark energy is reinterpreted as residual tension in long-lived domain walls separating regions of differing Chronon alignment. These topological defects redshift slowly, yielding an effective vacuum energy that drives late-time acceleration without requiring a cosmo- logical constant [37].
• Dark matter effects result from anisotropic stress and inertial corrections induced by foliation shear in Φμ, reproducing galactic rotation curves and structure formation without invoking non-baryonic matter.
• CMB isotropy arises from early global coherence of the Chronon field, ensuring causal contact across the observable universe without requiring an inflationary epoch.
The model offers dynamical explanations for dark matter and dark energy as manifestations of foliation shear and domain wall tension, respectively, without invoking non-baryonic particles or a cosmological constant. Crucially, CPTC resolves the horizon problem without requiring an inflationary phase, and yields testable predictions for galaxy rotation curves, CMB anisotropies, gravitational wave spectra, and the large-scale distribution of matter.
Notes
Chronon Phase Transition Cosmology builds on deep questions about the nature of time, causality, and the structure of the universe. By treating time not as a coordinate but as a causal, quantized field with topological degrees of freedom, CPTC bridges gaps between general relativity, quantum field theory, and the observed large-scale structure of the cosmos. It reframes longstanding cosmological problems—such as the horizon, flatness, and dark sector puzzles—not as mysteries requiring additional components, but as emergent phenomena arising from the dynamics of temporal order itself. This approach opens new directions for unification, numerical cosmology, and the interpretation of time in fundamental physics.
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2025-05-23Preprint