Plasma-like Description for Elementary and Composite Quantum Particles

[akhmeteli]

TL;DR Summary

My journal article on a plasma-like model of quantum theory

My article has been published in Entropy .
Abstract:
Schrödinger noticed in 1952 that a scalar complex wave function can be made real by a gauge transformation. The author showed recently that one real function is also enough to describe matter in the Dirac equation in an arbitrary electromagnetic or Yang–Mills field. This suggests some “symmetry” between positive and negative frequencies and, therefore, particles and antiparticles, so the author previously considered a description of one-particle wave functions as plasma-like collections of a large number of particles and antiparticles. The description has some similarities with Bohmian mechanics. This work offers a criterion for approximation of continuous charge density distributions by discrete ones with quantized charge based on the equality of partial Fourier sums, and an example of such approximation is computed using the homotopy continuation method. An example mathematical model of the description is proposed. The description is also extended to composite particles, such as nucleons or large molecules, regarded as collections including a composite particle and a large number of pairs of elementary particles and antiparticles. While it is not clear if this is a correct description of the reality, it can become a basis of an interesting model or useful picture of quantum mechanics.

 

[AndyW]

Thank you for sharing your recent publication in Entropy. Your work on using a single real function to describe matter in the Dirac equation is intriguing and suggests a potential symmetry between particles and antiparticles. Your approach of using a plasma-like collection of particles and antiparticles to describe one-particle wave functions is also interesting and has similarities with Bohmian mechanics.

I am particularly interested in your criterion for approximating continuous charge density distributions with discrete ones, and the example you provided using the homotopy continuation method. This could have important implications for our understanding of quantum mechanics and could potentially lead to new mathematical models.

I also appreciate how you have extended your description to composite particles, such as nucleons and large molecules, by including a composite particle and pairs of elementary particles and antiparticles. While it is uncertain if this is an accurate representation of reality, it certainly provides a thought-provoking model and could potentially lead to further insights into quantum mechanics.

Overall, your work is a valuable contribution to the field and I look forward to seeing future developments in this area. Thank you for sharing your findings with the scientific community.