Hamiltonian Chaos and the Fractal Topology of Spacetime (Part 1)
Ervin Goldfain · 2023
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 (\(v=246\)GeV). A representative signature of Hamiltonian chaos is the _fragmentation ofphase-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. This is Part 1 of the brief tutorial “Hamiltonian Chaos and the Fractal Topology of Spacetime” posted at https://www.qeios.com/read/0KXQIL [https://www.qeios.com/read/7ZYVDB]