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March 29, 2026Open Access

Spinorial Entropic Gravity: Spacetime as a Real Spectral Triple over the Icosahedral Quasicrystal

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Authors

ARAndré Rolim

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Overview

This theoretical framework explores quantum gravity in a new geometric setting, suggesting implications for fundamental physics.

Key Points

  • The aim is to reformulate the unification of gravity and quantum mechanics using a real spectral triple.
  • Developed a new geometric axiom for gravity and quantum mechanics using spectral triples.
  • Introduced spectral entropy and spectral action principles to unify three fundamental equations.
  • Utilized noncommutative geometry assumptions to derive various theorems related to the structure of spacetime.
  • Demonstrated that the icodimensional vacuum icosahedral structure minimizes Fnorm.
  • Established several axioms of Connes' framework for the proposed spectral triple, aiding in the unification efforts.
  • Predicted a unique falsifiable outcome relevant to contemporary observational astronomy.

Cite This Study

André Rolim (2026) studied this question.

synapsesocial.com/papers/69c8c336de0f0f753b39dd1dhttps://doi.org/10.5281/zenodo.19245173
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