MÖBIUS GEOMETRY AND THE MODAL DISCIPLINE OF OBJECTIVITY: a critical–propositional analysis of Marcin Mościcki's Geometric Unity Theory in confrontation with the Theory of Objectivity

This article presents a critical–propositional analysis of Marcin Mościcki’s Geometric Unity Theory: a Novel Approach to Quantum Gravity Through Four-Dimensional Möbius Strip Geometry, published on Zenodo, in confrontation with the Theory of Objectivity (TO). The study examines the possible compatibilities and tensions between Mościcki’s four-dimensional Möbius geometry, his oktatwistor framework, -instantons, -solitons, quantum measurement model, informational conservation, cosmological claims, and philosophical implications, and the modal axioms of the Theory of Objectivity. The analysis argues that Mościcki’s proposal establishes a fertile dialogue with TO because it addresses fundamental themes such as cosmic origin, boundary, self-intersection, information, quantum–classical transition, dark sector phenomena, consciousness, and the geometric grounding of physical laws. However, the article also emphasizes that, from the standpoint of TO, Möbius geometry and oktatwistors must be interpreted with caution: they may function as auxiliary geometric models, but they are not yet demonstrated as modally necessary foundations. Special attention is given to the TO concept of the transcendent element, understood as the knowledge or information produced in atomic relations and equivalent to atomic radiations. In this sense, the article proposes that Mościcki’s hidden geometric information may be reread, within TO, as a mathematical image of informational transcendence, relational memory, and objective boundary formation. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Geometric Unity Theory; Marcin Mościcki; Möbius geometry; oktatwistors; quantum gravity; modal ontology; cosmic origin; phenomenic elements; Inducer Effects; informational transcendence; atomic radiation; quantum measurement; cosmology; dark sector; consciousness; Vidamor Cabannas; Denivaldo Silva.