No change in Hilbert space fundamentalism

TL;DR

Hilbert space fundamentalism claims all physical reality is encoded in the Hamiltonian and state vector, but this paper argues it cannot explain the observed temporal changes in the physical world.

Contribution

The paper demonstrates that Hilbert space fundamentalism cannot account for the dynamic nature of the physical universe.

Findings

HSF cannot explain time evolution in physical systems

Challenges the completeness of HSF in describing reality

Supports the need for additional structures beyond HSF

Abstract

Hilbert space fundamentalism (HSF) states that everything about the physical world is encoded in the Hamiltonian operator and the state vector (as a unit vector, not a wavefunction, which requires additional specification of a configuration space, a position basis, or the position observables). That all structures needed to describe reality, including subsystems, space, fields, emerge from these. I show that HSF can't account for our observations that the physical world changes in time.