Energy–Entropy–Time Coupling in the Timeless Energy Principle: Mathematical Core and Observable Cosmological Signatures

This work presents a mathematical and cosmological formulation of the Timeless Energy Principle (TEP), introducing the constitutive invariant Ξ = E/(tS), where energy, entropy, and emergent time are coupled within a phenomenological framework. The paper develops scalar-field realizations, modified cosmological evolution equations, and potential observational signatures related to dark energy dynamics and gravitational-wave propagation.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-16
DOI
https://doi.org/10.5281/zenodo.20241757
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Energy–Entropy–Time Coupling in the Timeless Energy Principle: Mathematical Core and Observable Cosmological Signatures

K. L. Verma
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Energy–Entropy–Time Coupling in the Timeless Energy Principle: Mathematical Core and Observable Cosmological Signatures

K. L. Verma
preprint en

Abstract

This work presents a mathematical and cosmological formulation of the Timeless Energy Principle (TEP), introducing the constitutive invariant Ξ = E/(tS), where energy, entropy, and emergent time are coupled within a phenomenological framework. The paper develops scalar-field realizations, modified cosmological evolution equations, and potential observational signatures related to dark energy dynamics and gravitational-wave propagation.

Zenodo (CERN European Organization for Nuclear Research)
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Cosmology and Gravitation Theories
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Energy–Entropy–Time Coupling in the Timeless Energy Principle: Mathematical Core and Observable Cosmological Signatures — K. L. Verma · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS