Fuzzy tori converge to the flat torus Dirac triple via an extension of spectral propinquity to twisted spectral triples with unbounded twists.
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Concentration of measure on the Fubini-Study metric of high-dimensional pure states produces an equidistant dust whose spectral dimension at the single relaxation scale is two, a measurement property shown via Lean-checked Beta-law overlaps rather than evidence for physical 2D spacetime.
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How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale
Fuzzy tori converge to the flat torus Dirac triple via an extension of spectral propinquity to twisted spectral triples with unbounded twists.
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Quantum Dust from the Curse of Dimensionality
Concentration of measure on the Fubini-Study metric of high-dimensional pure states produces an equidistant dust whose spectral dimension at the single relaxation scale is two, a measurement property shown via Lean-checked Beta-law overlaps rather than evidence for physical 2D spacetime.