What question did this study set out to answer?

This article aims to analyze Zhang Xuan's proposal for a geometric unification of mechanics through the concept of specific energy in relation to the Theory of Objectivity.

June 17, 2026Open Access

SPECIFIC ENERGY, LIGHT SPEED, AND MODAL DISCIPLINE: a critical–propositional analysis of Zhang Xuan's article on the geometric unification of mechanics in confrontation with the Theory of Objectivity, its axioms, phenomenic elements, Inducer Effects, cosmogonic theorem, and cosmological Eras

Key Points

This article aims to analyze Zhang Xuan's proposal for a geometric unification of mechanics through the concept of specific energy in relation to the Theory of Objectivity.
Critical-propositional analysis of Zhang Xuan's article published in 2026.
Comparison of Zhang's geometric framework with key modal axioms and phenomenic elements from the Theory of Objectivity.
Examination of the implications of specific energy for concepts such as time, space, and energy.
Zhang's model provides a significant geometric bridge for discussions with the Theory of Objectivity.
Key tensions identified include the lack of modal necessity for specific energy and the need for a cosmogonic reformulation of the universe's movement.
The model's current shortcomings include an absence of a theory of information compatible with modal requirements.

Abstract

This article presents a critical–propositional analysis of Zhang Xuan’s From Specific Energy to the Constancy of Light Speed: A Geometric Unification of Fundamental Concepts in Mechanics (2026), published on Zenodo with DOI: https://doi.org/10.5281/zenodo.20683087, in dialogue with the Theory of Objectivity (TO). The study examines Zhang’s proposal to reconstruct mechanics through the central concept of specific energy, understood as the bridge between energy–mass and space–time, and analyzes its geometric use of the Pythagorean theorem, its reinterpretation of time, space, velocity, acceleration, mass, and energy, and its introduction of the bounded kinetic factor λ as an alternative to the divergent Lorentz factor. The article confronts Zhang’s model with the modal axioms of TO, especially the logical spherical Nothing, unity, infinity as non-element, boundary, triadic observation, recursive composition, and the transcendent element understood as knowledge or information produced in atomic relations and equivalent to atomic radiations. It also articulates Zhang’s framework with the phenomenic elements, Inducer Effects, cosmogonic theorem, and cosmological Eras of TO. The analysis argues that Zhang’s model offers a relevant geometric and phenomenological bridge for dialogue with TO, particularly regarding the relational nature of time and space, the finite treatment of physical limits, and the recursive composition of energetic contributions. However, the article also identifies important tensions: the ontological primacy granted to specific energy is not yet derived from modal necessity, the hypothesis that the universe moves at the speed of light requires cosmogonic reformulation, and the model does not yet incorporate a theory of information or atomic radiation compatible with the transcendent element of TO. This analytical study received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Zhang Xuan; Specific Energy; Speed of Light; Geometric Mechanics; Modal Ontology; Inducer Effects; Cosmogonic Theorem; Cosmological Eras; Lambda Factor; Relativity; Atomic Information; Atomic Radiation; Phenomenic Elements; Recursive Composition; Philosophy of Physics; Alternative Cosmology.

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