Authors: M. D. Sheppeard
In quantum logic, the emergence of spacetime and related symmetries goes hand in hand with the emergence of the real and complex numbers themselves. In this paper, we show how finite fields are surprisingly sufficient for most physical questions, once we throw away classical geometrical models in favour of categorical axioms. In particular, generalised Pauli matrix algebras are closely related to braid and ribbon diagrams, and holographic information for mass localisation gains its intuition from algebras for anyon condensation. We discuss definitions of homology and cohomology associated to braids, recalling the twistor construction of massive solutions in H2.
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