A Possible Resolution of the Tolman Paradox as a Quantum Superposition

TL;DR

This paper explores how Tolman's paradox, involving tachyon exchange, can lead to quantum superpositions and entanglement, revealing a novel link between quantum mechanics and cosmological expansion.

Contribution

It proposes a new interpretation of Tolman's paradox as a mechanism for generating quantum superpositions and entanglement through tachyon exchange.

Findings

Tachyon exchange can produce superpositions of particle eigenstates.

The superposition mechanism links quantum phenomena with cosmological expansion.

Potential implications for understanding quantum cosmology.

Abstract

This is an attempt to find a hidden virtue in Tolman's paradox by showing that it can give rise to quantum superposition. We consider tachyon exchange between two particles and show that it can generate superposition of eigenstates characterizing each particle, as well as the entangled state of the particle pair. The new possible aspect of quantum superposition reveals an unexpected connection with cosmological expansion of the Universe.