Conceptual Guardrails: A Return from Mathematical Formalism to Constructive Physics

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-20
DOI
https://doi.org/10.5281/zenodo.22849571
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Conceptual Guardrails: A Return from Mathematical Formalism to Constructive Physics

M. Sugama
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Conceptual Guardrails: A Return from Mathematical Formalism to Constructive Physics

M. Sugama
preprint en

Abstract

While modern physics possesses exceptional predictive power, it suffers from a profound "ontological deficit," conflating mathematical formalism with physical reality. This paper argues that this conflation obscures "Unconceived Alternatives" (Stanford 2006) and proposes "Conceptual Guardrails"—a meta-theoretical criterion ensuring that mathematical models rely on a consistent ontological foundation.We present the "Space Quanta and Existence Waves" theory as a genera-tive case study adhering to these guardrails, demonstrating that the schism between relativity and quantum mechanics can be conceptually unified and resolved as "computational costs" on a single discrete physical substrate (hardware).Ultimately, this paper critically redefines the validity of continuous mathematical formulas as a "lossy compression of high-resolution reality," advocating for an "Inversion of Platonism" in science. Conceptual Guard-rails serve as a compass to redirect the aim of physics from "saving the phenomena" via elegant formulas back to the "inquiry into reality" via concrete and rigorous algorithms.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Quantum Mechanics and Applications
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Conceptual Guardrails: A Return from Mathematical Formalism to Constructive Physics — M. Sugama · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS