Any Hamiltonian can be recast via Fock basis change as a local 1D lattice theory whose dispersion relation and non-integrability depend on its spectrum.
Lorentz symmetry from a random Hamiltonian
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abstract
We match the density of energy eigenstates of a local field theory with that of a random Hamiltonian order by order in a Taylor expansion. In our previous work we assumed Lorentz symmetry of the field theory, which entered through the dispersion relation. Here we extend that work to consider a generalized dispersion relation and show that the Lorentz symmetric case is preferred, in that the Lorentz symmetric dispersion relation gives a better approximation to a random Hamiltonian than the other local dispersion relations we considered.
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2026 2verdicts
UNVERDICTED 2representative citing papers
A finite-dimensional quantum model with commensurable energy eigenvalues and minimum-entropy initial condition yields exact periodicity and a distinguished entropy minimum that may represent the Big Bang while suppressing Boltzmann Brains.
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Wave packets from the spectrum
Any Hamiltonian can be recast via Fock basis change as a local 1D lattice theory whose dispersion relation and non-integrability depend on its spectrum.
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Toward a Phenomenologically Acceptable Quantum Cyclic Universe
A finite-dimensional quantum model with commensurable energy eigenvalues and minimum-entropy initial condition yields exact periodicity and a distinguished entropy minimum that may represent the Big Bang while suppressing Boltzmann Brains.