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Theoretical analysis demonstrates explicit finite realizations of quantum geometry, indicating mathematical connections between quantum histories and spacetime metrics.
Version 0.2 extends the fixed-finite pointed-braid quantum-geometry construction with an explicit complete PBM-BIX finite realization, certified nonzero detector and clock bounds on a finite interval, and a restricted nonzero same-source neighborhood with cometric re-identification. It also reduces spatial PCMT profile freedom inside the selected homogeneous sector and reconstructs an internal quaternion, SU(2)/Bianchi-IX and screen-orientation structure under explicit completion and chart assumptions. The results remain conditional and mathematical; they do not establish empirical quantum gravity, physical topology or handedness, Braid necessity, SIC/O3, subjectivity, or consciousness.
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Satoru Watanabe (2026) studied this question.
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