Ervin Goldfain. Hamiltonian Chaos and the Fractal Topology of Spacetime (part 1)
Natural Sciences / Physics / Mathematical Physics
Submitted on: Mar 28, 2023, 12:32:59
Description: 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.