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This analysis aims to critically evaluate Döring’s hypothesis on spacetime dimensions as orthogonal quantum states against the Theory of Objectivity.

May 24, 2026Open Access

ORTHOGONAL DIMENSIONS AND THE MODAL DISCIPLINE OF OBJECTIVITY: a critical–propositional analysis of Holger Andreas Walter Döring's article on dimensional quantum states in confrontation with the Theory of Objectivity

Key Points

This analysis aims to critically evaluate Döring’s hypothesis on spacetime dimensions as orthogonal quantum states against the Theory of Objectivity.
Critical-propositional analysis of Döring’s work on dimensional quantum states.
Examination of the modal axioms of the Theory of Objectivity and its phenomenic elements.
Discussion of tensions related to mathematical essence and empirical testing.
Döring's model suggests spacetime may be a two-dimensional structure rather than a four-dimensional manifold.
Convergence between Döring’s model and Objectivity Theory regarding quantum measurement and boundary formation is observed.
Identified tensions include the lack of derivation from Nothing and assumptions of the primacy of the timelike potential.

Abstract

This article presents a critical–propositional analysis of Holger Andreas Walter Döring’s work Possibility of spacetime dimensions as orthogonal quantum states: Two-dimensional periodic resonance-effect of timelike dimension-potential possibly causes four-spacetime by generating spacelike dimensions (Zenodo, 2025, DOI: https://doi.org/10.5281/zenodo.17113205), in confrontation with the Theory of Objectivity developed by Vidamor Cabannas and Denivaldo Silva. The analysis examines Döring’s hypothesis that, at the Planck scale, spacetime may not be fundamentally a continuous four-dimensional manifold, but rather a periodic two-dimensional structure in which a permanent timelike potential generates spacelike dimensions as mutually orthogonal quantum states. The article discusses this proposal in relation to the modal axioms of the Theory of Objectivity, its phenomenic elements, Inducer Effects, cosmogonic theorem, and cosmological Eras. Special attention is given to the possible convergence between Döring’s model and the Theory of Objectivity regarding pre-four-dimensional ontology, boundary formation, quantum measurement, dimensional emergence, ON/OFF operators, and the interpretation of the Big Bang as a transition rather than an absolute origin. The article also identifies relevant tensions, especially concerning the absence of a derivation from Nothing as a primitive mathematical essence, the lack of explicit modal necessity, the assumed primacy of the timelike potential, and the absence of direct empirical testing. This analytical text counted on the analytical support of ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Holger Andreas Walter Döring; spacetime dimensions; orthogonal quantum states; modal ontology; quantum gravity; Planck scale; timelike potential; spacelike dimensions; ON/OFF operators; phenomenic elements; Inducer Effects; cosmogonic theorem; Big Bang; cosmological Eras; boundary; quantum measurement.

ORTHOGONAL DIMENSIONS AND THE MODAL DISCIPLINE OF OBJECTIVITY: a critical–propositional analysis of Holger Andreas Walter Döring's article on dimensional quantum states in confrontation with the Theory of Objectivity

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