What question did this study set out to answer?

The aim is to reformulate the unification of gravity and quantum mechanics using a real spectral triple.

March 29, 2026Open Access

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

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

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.

André Rolim (2026) studied this question.

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