Reality as a relational grammar: From epistemic axioms to quantum projection

This paper presents six axioms as the basis for a mathematically formalised grammar of reality. Together, the axioms present a purely relational ontology consisting of the primary primitives of push-pull dynamics on a multidimensional helical manifold. Relational interactions generate torsion that converts to curvature, presenting a clean mechanism for the transference of degrees of freedom into memory, reminiscent of the characteristics of photons. Finally, the paper presents two falsifiable claims related to a) endogenous propulsion of relational units and b) the structural compatibility of Quantum Mechanics to the formalized Lagrangian that is derived from the six axioms.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-11
DOI
https://doi.org/10.5281/zenodo.20114682
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Reality as a relational grammar: From epistemic axioms to quantum projection

Burger Gericke Potgieter
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Reality as a relational grammar: From epistemic axioms to quantum projection

Burger Gericke Potgieter
preprint en

Abstract

This paper presents six axioms as the basis for a mathematically formalised grammar of reality. Together, the axioms present a purely relational ontology consisting of the primary primitives of push-pull dynamics on a multidimensional helical manifold. Relational interactions generate torsion that converts to curvature, presenting a clean mechanism for the transference of degrees of freedom into memory, reminiscent of the characteristics of photons. Finally, the paper presents two falsifiable claims related to a) endogenous propulsion of relational units and b) the structural compatibility of Quantum Mechanics to the formalized Lagrangian that is derived from the six axioms.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Quantum Mechanics and Applications
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Reality as a relational grammar: From epistemic axioms to quantum projection — Burger Gericke Potgieter · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS