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arxiv: 1108.1495 · v1 · pith:SL6ZHAYCnew · submitted 2011-08-06 · ✦ hep-th · gr-qc· quant-ph

Simplicial quantum dynamics

classification ✦ hep-th gr-qcquant-ph
keywords quantumgroupssimplicialsingularspacetheoryboundcanonical
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Present-day quantum field theory can be regularized by a decomposition into quantum simplices. This replaces the infinite-dimensional Hilbert space by a high-dimensional spinor space and singular canonical Lie groups by regular spin groups. It radically changes the uncertainty principle for small distances. Gaugeons, including the gravitational, are represented as bound fermion-pairs, and space-time curvature as a singular organized limit of quantum non-commutativity. Keywords: Quantum logic, quantum set theory, quantum gravity, quantum topology, simplicial quantization.

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