Local quantum mechanics with finite Planck mass

Majorana Tower and Cellular Automaton Interpretation of Quantum Mechanics down to Planck Scales

A deterministic reformulation of quantum mechanics can bypass the usual philosophical interpretations of probability and stochasticity that are found in the literature. This can be obtained with the ontological formulation of quantum mechanics, obtained by writing the Hamiltonian of a quantum system in a way to render it mathematically equivalent to a deterministic system. Such deterministic models are thought to consist of elementary cells - cellular automata - inside which the quantities describing the dynamics oscillate in periodic orbits, extending and replacing the quantum-mechanical clas…

Applying quantum mechanics to macroscopic and mesoscopic systems

There exists a paradigm in which Quantum Mechanics is an exclusively developed theory to explain phenomena on a microscopic scale. As the Planck's constant is extremely small, $h\sim10^{-34}{J.s}$, and as in the relation of de Broglie the wavelength is inversely proportional to the momentum; for a mesoscopic or macroscopic object the Broglie wavelength is very small, and consequently the undulatory behavior of this object is undetectable. In this paper we show that with a particle oscillating around its classical trajectory, the action is an integer multiple of a quantum of action, $S = nh_{o}…

量子与经典力学 vs 量子场论

Quantum and Classical mechanics vs QFT

本文通过引入普朗克常数扩展Akama-Diakonov-Wetterich理论，探讨量子力学从预几何量子场论中涌现，并在不同极限下连接量子场论与经典物理。

A manifold of possible physics-laws in a universe where the planck constant and speed of light parameters vary

I assume a universe whereby the speed of light and the planck constant are not constants but instead parameters that vary locally in time-and space. When describing motion, I am able to derive a modified path integral description at the quantum level, which offers a natural extension of quantum mechanics. At the microscopic level, this path integral intuitively describes a physics with many quantum realities thus leading to a novel concept of manifold of physics, which can be looked at as a novel action principle. This paradigm reflects the notion that the observed laws of physics on any given…

四元数量子力学：粒子、它们的q势与数学电子模型

Quaternionic Quantum Mechanics: the Particles, their q-Potentials and Mathematical Electron Model

该研究基于柯西连续统和普朗克尺度基本单元，利用四元数关系的对称化及四元数速度假设，提出从普朗克到宏观尺度的四元数量子描述，并指出膨胀压缩动量源于四元数形变势的标量项。

Gravitational Equivalent Frequency and the Planck Length

The mass equivalency [m*c^2 = h*f] applies to gravitational mass just as to inertial mass. From that, the gravitational mass has a corresponding, associated, equivalent frequency, f. Using that frequency a new result is obtained in which the significance of the Planck Length is clarified. The Planck Length is fundamental to gravitation and in effect supercedes G in that role because it is found that there is operational or mechanical significance to the role of the Planck Length in gravitation whereas G is simply a constant of proportionality. It further is shown that the Planck Length [and, l…