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FRI: Friday Contributed Sessions

FRI 10: Foundational / Mathematical Aspects – Unconventional Approaches

FRI 10.5: Talk

Friday, September 12, 2025, 11:45–12:00, ZHG103

Plasma-like description for quantum particles — •Andrey Akhmeteli — LTASolid Inc., Houston, Texas, USA

A scalar complex wave function can be made real by a gauge transformation (Schrödinger, Nature, 1952). Similarly, one real function is also enough to describe matter in more realistic theories, such as the Dirac equation in an arbitrary electromagnetic (Akhmeteli, J. Math. Phys., 2011, Eur. Phys. J. C, 2024) or Yang-Mills (A., Quantum Rep., 2022) field. As these results suggest some "symmetry" between positive and negative frequencies and, therefore, particles and antiparticles, one-particle wave functions can be described as plasma-like collections of a large number of particles and antiparticles (A., Eur. Phys. J. C, 2013, Entropy, 2022). The similarity of the dispersion relations for the Klein-Gordon equation and a simple plasma model provides another motivation for the plasma-like description of quantum particles.

The criterion for approximation of continuous charge density distributions by discrete ones with quantized charge is based on Gaussian smoothing (A., arXiv:2503.10667). A discrete distribution satisfying this criterion can be found for any smooth distribution. An example mathematical model of the interpretation is proposed.

The plasma-like description can offer an intuitive picture of the uncertainty principle, the double-slit experiment, and negative probabilities. Wave function spreading is not problematic for the model. Any experimental results that can be described using one-particle wave functions can be emulated using the plasma-like description.

Keywords: antiparticles; Dirac equation; plasma; negative probabilities