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No change in Hilbert space fundamentalism

Ovidiu Cristinel Stoica

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.

No change in Hilbert space fundamentalism

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.
Paper Structure (1 section, 1 theorem, 5 equations)

This paper contains 1 section, 1 theorem, 5 equations.

Table of Contents

  1. Questions

Key Result

Theorem 1

HSF can't describe unambiguously how the world changes in time.

Theorems & Definitions (14)

  • Theorem 1
  • proof
  • proof : Answer
  • proof : Answer
  • proof : Answer
  • proof : Answer
  • proof : Answer
  • proof : Answer
  • proof : Answer
  • proof : Answer
  • ...and 4 more