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Peer Review

The manuscript presents an ambitious and potentially interesting framework, Entropy Curvature Cosmology (ECC), attempting to connect thermodynamics, gravity, electromagnetism, and cosmology through an entropy-curvature field. The proposed framework is broad and contains several potentially testable ideas, particularly regarding entropy-field dynamics and electromagnetic anisotropy.

However, substantial theoretical clarification and quantitative development are required before the work can be considered for publication. The central replacement of spacetime curvature with entropy curvature is asserted more strongly than it is derived. In particular, the relationship between the entropy field S, the proposed curvature tensor Eμν, and the stress-energy tensor needs a rigorous derivation from an action or well-defined dynamical principle. The dimensional consistency, covariance, conservation laws, and compatibility of the proposed field equations with established general relativity and thermodynamics should also be demonstrated.

The entropy-oscillation equation is currently introduced as a damped harmonic oscillator by analogy, but the origin of the damping coefficient, forcing term, and mode frequencies is not derived from the underlying ECC equations. Similarly, the proposed modifications to Maxwell's equations require a covariant derivation and careful examination of gauge invariance, charge conservation, causality, and experimental constraints. Claims concerning gravitational-wave analogues, dark matter, dark energy, neutrino propagation, and cosmic cycles require quantitative predictions and comparison with existing observational limits.

Several statements are presently too broad—for example, that ECC "preserves the successes of General Relativity" and can explain structures ranging from atoms to galaxies—without demonstrating recovery of established results such as the Einstein equations in an appropriate limit, gravitational lensing, perihelion precession, gravitational-wave observations, and cosmological expansion.

Recommendation: Major Revision. The manuscript contains an interesting conceptual hypothesis, but its central claims currently remain speculative. A substantially more rigorous mathematical formulation, dimensional analysis, derivation of the field equations, recovery of known physical limits, and at least several falsifiable quantitative predictions are needed to establish ECC as a viable physical theory.

Semple, L. (2025) “Laws of Entropy Curvature Cosmology”. Zenodo. Available at: https://doi.org/10.5281/zenodo.17469305.

Competing interests

Please use my peer review as a reference and for acknowledgements.

Use of Artificial Intelligence (AI)

The author declares that they did not use generative AI to come up with new ideas for their review.