Part V: The First Asymmetry — Spectral Birth of Time and the Universe

Based on the quantized geometric framework and its spectral extension developed in Parts I–IV, this work demonstrates that time, inflation, entropy, and gravity emerge from the internal spectral evolution of the deformation amplitudes C(v,τ,n). Temporal directionality appears as a consequence of asymmetry in the spectral configuration, with τ encoding both evolution and flow. Inflation emerges not from external fields but from the growth of spectral volume, governed by intrinsic flow dynamics. Entropy increase follows from a monotonic spectral functional, defining an arrow of time rooted in redistribution. Gravitational behavior is captured through a variational spectral action, whose equations reproduce classical dynamics as emergent constraints. Collapse is avoided through phase transition, and singularities are replaced by bounded, stable configurations enforced by spectral rigidity. Fluctuations arise from the structure of the flow itself and naturally generate the initial conditions for cosmological perturbations and structure formation. These results point to a coherent picture in which large-scale physics and fundamental scales emerge from a single quantized spectral process.

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.28908734.v2
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

Part V: The First Asymmetry — Spectral Birth of Time and the Universe

Figshare
Cosmology and Gravitation Theories
article

Part V: The First Asymmetry — Spectral Birth of Time and the Universe

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Abstract

Based on the quantized geometric framework and its spectral extension developed in Parts I–IV, this work demonstrates that time, inflation, entropy, and gravity emerge from the internal spectral evolution of the deformation amplitudes C(v,τ,n). Temporal directionality appears as a consequence of asymmetry in the spectral configuration, with τ encoding both evolution and flow. Inflation emerges not from external fields but from the growth of spectral volume, governed by intrinsic flow dynamics. Entropy increase follows from a monotonic spectral functional, defining an arrow of time rooted in redistribution. Gravitational behavior is captured through a variational spectral action, whose equations reproduce classical dynamics as emergent constraints. Collapse is avoided through phase transition, and singularities are replaced by bounded, stable configurations enforced by spectral rigidity. Fluctuations arise from the structure of the flow itself and naturally generate the initial conditions for cosmological perturbations and structure formation. These results point to a coherent picture in which large-scale physics and fundamental scales emerge from a single quantized spectral process.

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Cosmology and Gravitation Theories
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