Mathematical Physics

    

Hamiltonian Chaos and the Fractal Topology of Spacetime (Part 1)

Authors: Ervin Goldfain

Fractals and multifractals are self-similar structures endowed with continuous dimensions. This tutorial traces the origins of fractal spacetime to the universal features of Hamiltonian chaos, conjectured to develop far above the Fermi scale. A representative signature of Hamiltonian chaos is the fragmentation of phase-space into islands of stability embedded within ergodic layers. Fractal topology of Hamiltonian chaos may account for the multiply connected structure of the large-scale Universe, hinted by recent cosmological data. These observations raise the possibility that gravitational physics and Quantum Field Theory emerge from the chaotic regime of the early Universe.

Comments: 15 Pages.

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Submission history

[v1] 2023-03-28 16:52:50

Unique-IP document downloads: 203 times

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