Transreflective Dimensional Model (MTD): A Pre-Spatiotemporal Relational Framework for Emergent Physical Distinctions

The Transreflective Dimensional Model (MTD) is reformulated as a speculative pre-spatiotemporal relational framework rather than as a completed theory of quantum gravity or a direct unification of quantum mechanics and general relativity. The central hypothesis is that observable physical distinctions need not correspond to primitive distinctions in the fundamental ontology. The fundamental domain, denoted by \(X\), is assumed to admit multiple relational manifestations without any manifestation possessing a privileged ontological status as an “original.” Observable properties, subsystem decomposition, and potentially spacetime itself are treated as emergent structures associated with context-dependent manifestations of \(X\). The paper introduces a minimal set of postulates and investigates their mathematical consequences. A quotient construction is shown to remain compatible with a classical Boolean theory, demonstrating that pre-spatiotemporality, relational emergence, and transreflective equivalence alone are insufficient to recover quantum mechanics. A groupoid-based realization is developed as a candidate mathematical representation of reversible transreflective relations, while a non-globality condition is examined as a route to contextual nonclassicality. The analysis establishes several no-go results: the present MTD postulates do not uniquely derive quantum mechanics, the Born rule, purification, general relativity, or the Standard Model. MTD 2.0 therefore does not claim a Theory of Everything. It is presented as a mathematically explicit foundational research framework and as a starting point for investigating whether transreflective principles can generate independently testable physical structure.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-28
DOI
https://doi.org/10.5281/zenodo.23009788
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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Transreflective Dimensional Model (MTD): A Pre-Spatiotemporal Relational Framework for Emergent Physical Distinctions

Dario Dennis Perilli
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Transreflective Dimensional Model (MTD): A Pre-Spatiotemporal Relational Framework for Emergent Physical Distinctions

Dario Dennis Perilli
preprint en

Abstract

The Transreflective Dimensional Model (MTD) is reformulated as a speculative pre-spatiotemporal relational framework rather than as a completed theory of quantum gravity or a direct unification of quantum mechanics and general relativity. The central hypothesis is that observable physical distinctions need not correspond to primitive distinctions in the fundamental ontology. The fundamental domain, denoted by \(X\), is assumed to admit multiple relational manifestations without any manifestation possessing a privileged ontological status as an “original.” Observable properties, subsystem decomposition, and potentially spacetime itself are treated as emergent structures associated with context-dependent manifestations of \(X\). The paper introduces a minimal set of postulates and investigates their mathematical consequences. A quotient construction is shown to remain compatible with a classical Boolean theory, demonstrating that pre-spatiotemporality, relational emergence, and transreflective equivalence alone are insufficient to recover quantum mechanics. A groupoid-based realization is developed as a candidate mathematical representation of reversible transreflective relations, while a non-globality condition is examined as a route to contextual nonclassicality. The analysis establishes several no-go results: the present MTD postulates do not uniquely derive quantum mechanics, the Born rule, purification, general relativity, or the Standard Model. MTD 2.0 therefore does not claim a Theory of Everything. It is presented as a mathematically explicit foundational research framework and as a starting point for investigating whether transreflective principles can generate independently testable physical structure.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Quantum Mechanics and Applications
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Transreflective Dimensional Model (MTD): A Pre-Spatiotemporal Relational Framework for Emergent Physical Distinctions — Dario Dennis Perilli · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS