A simple means for deriving quantum mechanics

TL;DR

This paper introduces a new, intuitive mechanics framework that reproduces all observable predictions of quantum mechanics, including entanglement and spin, while maintaining classical-like particle paths and providing connections to other quantum interpretations.

Contribution

It presents a simple, comprehensible mechanics that fully aligns with quantum predictions and relates to existing interpretations like Bohmian and many-worlds.

Findings

Reproduces all observable quantum phenomena

Particles follow continuous, differentiable paths

Connects to various quantum interpretations

Abstract

A type of mechanics will be presented that possesses some distinctive properties. On the one hand, its physical description & rules of operation are readily comprehensible & intuitively clear. On the other, it fully satisfies all observable predictions of non-relativistic quantum mechanics. Within it, particles exist at points in space, follow continuous, piecewise differentiable paths, and their linear momentum is equal to their mass times their velocity along their path. Yet the probabilities for position and momentum, conditioned on the state of the particle's environment, follow the rules of quantum theory. Indeed, all observable consequences of quantum theory are satisfied; particles can be entangled, have intrinsic spin, this spin is not local to the particle, particle identity can effect probabilities, and so forth. All the rules of quantum mechanics are obeyed, and all arise in a straightforward fashion. After this is established, connections will be drawn out between this type of mechanics and other types of quantum worlds; those that obey Bohmian mechanics, stochastic mechanics, the many worlds interpretation, and physical collapse. In the final section, a relativistic version of the mechanics will be presented.