Time turns the universal kaleidoscope

TL;DR

This essay explores how the concept of time's arrow might emerge in a symmetric universe under quantum interpretations, suggesting inherent dissipation and entropy increase despite unitary evolution.

Contribution

It proposes that the Hilbert transform operator in quantum mechanics indicates dissipation and entropy increase, challenging traditional views of time symmetry.

Findings

Hilbert transform implies dissipation in quantum systems

Time's arrow may emerge from quantum symmetries

Entropy increase linked to Hilbert transform in Schrödinger equation

Abstract

This (withdrawn) creative essay intended to consider the appearance of time's arrow in a fully symmetric universe compatible with "pilot wave" or transactional interpretations (D. Bohm or J.G. Kramer, respectively). The (unstated) hypothesis was that, despite unitary time evolution, the inherent Hilbert transform operator found in the energy operator of the Schrodinger equation and in commutation relations of Fourier observables indicates dissipation and seemingly, entropy increase.