History and Philosophy of Physics


A Note on Manifolds VS Networks as Mathematics Models in Modern Physics

Authors: Lucian M Ionescu

Some stages of development of Manifold Theory are inspected, and how they evolved into the modern discrete frameworks of lattice and spin networks, with help from Topology and Homological Algebra. Recalling experimental evidence that reality is discrete, notably quantum Hall effect, includes more recent findings of quantum knots and spin-net condensates. Thus Pythagoras, Zeno and Plato were right after all: “Number rules the Uni- verse”, perhaps explaining the “unreasonable effectiveness of mathematics”, but not quite, why Quantum Physics’ scattering amplitudes are often Number Theory’s multiple zeta values.

Comments: 10 Pages.

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Submission history

[v1] 2019-12-05 11:10:06

Unique-IP document downloads: 9 times

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