Enhancing wave-particle duality

• URL: http://arxiv.org/abs/2503.20077v1
• Date: Tue, 25 Mar 2025 21:25:41 GMT
• Title: Enhancing wave-particle duality
• Authors: Arwa Bukhari, Daniel Hodgson, Sara Kanzi, Robert Purdy, Almut Beige,
• Abstract summary: We quantise mechanical point particles in the same physically-motivated way as we quantise light in quantum electrodynamics.<n>In the resulting quantum theory, particles can occupy any position while moving at any velocity.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Although wave-particle duality is a cornerstone of quantum physics, standard approaches often treat waves and particles differently. To elevate wave-particle duality, in this paper we quantise mechanical point particles in the same physically-motivated way as we quantise light in quantum electrodynamics. In the approach we present here, instead of starting from Hamilton's equations, we consider Newton's equations of motion, which are mass-independent. In the resulting quantum theory, particles can occupy any position while moving at any velocity. Standard quantum mechanics emerges from our approach when certain semi-classical approximations are imposed.

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