The Universal Entropic Mass Principle - Structural Entropy and Operational Efficiency

COUTINHO, Fernando Cesar Coelho

doi:10.5281/zenodo.18273998

Published January 16, 2026 | Version v1

Preprint Open

The Universal Entropic Mass Principle - Structural Entropy and Operational Efficiency

COUTINHO, Fernando Cesar Coelho¹

1. Independent Researcher

We present a complete and self-contained development of the Universal Entropic Mass Principle (UEMP) from first motivation to its minimal empirically viable formulation. The central objective is to clarify the operational meaning of the effective entropic parameter Teff (“Teef”) and to delimit, with explicit galaxy-data tests, what entropy can and cannot claim about low-acceleration gravitational phenomenology.

We adopt a deliberately conservative stance: entropy is treated as a constraint (a bound) rather than a dynamical agent. We show that Teff is not a thermodynamic temperature, is not independently measurable, and introduces no new tunable degree of freedom. A frequently invoked thermal mapping via the Unruh correspondence is shown to be a dimensional dictionary relating the empirical acceleration scale a0 to an effective temperature scale, not a causal derivation.

We then summarize a structured falsification program using disk-galaxy rotationcurve data (SPARC): environmental splits, radial consistency tests, and null tests on RAR residuals show no evidence for adaptive, selective, or optimization-driven behavior. High-redshift constraints disfavor simple closures in which the entropic scale tracks the Hubble expansion rate. The surviving content is reformulated as a minimal postulate: mass carries an irreducible entropic cost that acts locally as an operational bound delimiting admissible response.

Finally, we compare the UEMP (as a structural principle) to MOND (a modifieddynamics framework) and to entropic-gravity proposals (entropy as a causal force), and we provide a risk map describing which future datasets are most likely to strengthen or falsify each class.

Notes (English)

Operational Meaning of T_{eff}: The effective entropic parameter is not a thermodynamic temperature but a dimensional dictionary mapping the empirical acceleration scale a_{0} to thermal units.

Falsification Results: No statistically significant shifts in the acceleration scale were found across environmental gas-richness splits or radial trends within galaxies.

Cosmological Constraints: High-redshift kinematic data disfavor simple closures where the entropic scale tracks the Hubble expansion rate (a_{0} \propto H(z)).

UEMP vs. Entropic Gravity: The lack of adaptive or selective dependencies in the data strongly constrains entropic-force mechanisms (Verlinde-type) while remaining consistent with a bound-based interpretation.

The Scatter Floor: The convergence of the deep-RAR residuals to a non-zero value (\sigma_{min}) indicates the exhaustion of admissible dynamical configurations near a limiting bound.

Notes (English)

Methodology Notes

Dataset: Analysis is based on the SPARC (Spitzer Photometry and Accurate Rotation Curves) database.

Statistical Approach: Used bootstrap resampling (10^{4} realizations) and Levene/Brown-Forsythe tests for variance equality to validate the irreducible scatter floor.

Scientific Stance: Adopts a conservative structural-principle mindset, moving from an ontological to an exclusively operational interpretation of entropy in gravitation.

Notes

The author formulated the central hypothesis, using generative AI as a strategic tool for technical refinement and mathematical alignment.

Notes

This manuscript provides the operational falsification and minimal reformulation of the UEMP, complementing the foundational work available at https://doi.org/10.5281/zenodo.18261273.

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