Quantum Particle Dynamics

Ciaran P. Ryan

Jincheng Zhang

This paper introduces Dynamic Particle Quantum Computation (DPQC), a novel quantum computing architecture that leverages the unique quantum behavior of particles within dynamically shaped spacetime geometries. The core mechanism centers around correlating quantum states with localized geometric structures, enabling efficient quantum algorithms through quantum geometry transformations. We present a design that optimizes for high-speed quantum computation and scalability, addressing limitations of traditional quantum computing approaches. The paper details the architecture, its potential advantages, and preliminary results demonstrating the feasibility of DPQC.

Yuri A. Rylov

In conventional quantum mechanics the quantum particle is a special object, whose properties are described by special concepts and quantum principles. The quantization is a special procedure, which is accompanied by introduction of special concepts, and this procedure cannot be repeated. In the model conception of quantum phenomena (MCQP) the quantum particle is a partial case of a stochastic particle, and the quantum dynamics is a special case of the stochastic particle dynamics. In MCQP the quantization is a dynamical procedure, where a special quantum term is added to the Lagrangian of the statistical ensemble of (classical) particles. This procedure can be repeated many times, because it is not accompanied by introduction of new concepts. It is very convenient from the formal viewpoint, because the set of dynamic quantizations forms a one-parameter group, which allows one to separate the dynamical and statistical (stochastic) properties.

James R. McConnell, John Charlton Polkinghorne

Natalia N. Gorobey, Alexander S. Lukyanenko, Inna Lukyanenko

A probabilistic interpretation of one-particle relativistic quantum mechanics is proposed. Quantum Action Principle formulated earlier is used for to make the dynamics of the Minkowsky time variable of a particle to be classical. After that, quantum dynamics of a particle in the 3D space obtains the ordinary probabilistic interpretation. In addition, the classical dynamics of the Minkowsky time variable may serve as a tool for "observation" of the quantum dynamics of a particle. A relativistic analog of the hydrogen atom energy spectrum is obtained.