A theoretical justification for the superposition principle

Jincheng Zhang

Quantum-Inspired Lattice Construction (QILC) presents a novel approach to lattice design, leveraging quantum mechanics principles to optimize connectivity and computational complexity for parallel computing. This paper introduces a new algorithm that constructs lattices based on the principles of quantum entanglement and superposition, aiming to achieve significantly enhanced parallel processing capabilities compared to traditional lattice methods. We detail the core mechanism, the mathematical formulation, and the theoretical justification for this innovative design, presenting preliminary results demonstrating improvements in computational efficiency and scalability. The paper concludes with a discussion of future research directions and potential applications.

F. Károlyházy

Michael Cordin

phenomena can often be analysed in a visually clear way by thought experiments. In the present work a new thought experiment is analysed, which describes the emission of a photon by a special mechanism. The analysis leads to the finding, that there is a natural connection between the energy-time uncertainty and the Heisenberg position-momentum uncertainty principle. A deeper analysis of this thought experiment, especially with regard to a justification of the Doppler effect from the uncertainty principle, leads to the conclusion, that the speed of light is invariant. Therefore it seems reasonable to assume, that the origin of relativistic laws lies in non-relativistic quantum mechanics.

Bernard d’Espagnat

Modern quantum mechanics developed from wave mechanics by abstracting from its most fundamental features. These are the superposition principle and the linearity of the equation of motion. Any theory finds its justification from experiment, but all the aspects of a successful theory do not gain similar weights from such corroborations. The dynamical development of a theory, such as the transition from wave mechanics to the more general scheme of quantum mechanics, can thus be fully understood only if a few important experimental facts are kept in mind, namely, those whose description really requires that particular sets of principles be valid. The chance is good then that these principles will remain as guides in the development of the theory. Although the experiments that corroborate wave-mechanics are very numerous indeed, most of them are quite similar in their essence. The experiment of electron diffraction may be chosen, or, alternatively, the conceptually even simpler experiment of particle diffraction by two holes.

Eftichios Bitsakis