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

TL;DR

This paper proposes a universe where fundamental constants vary locally, leading to a modified quantum path integral and a manifold of possible physics laws, which can explain phenomena like dark energy and anomalies.

Contribution

It introduces a novel framework where varying fundamental parameters create a manifold of physics laws, extending quantum mechanics and deriving new classical and gravitational solutions.

Findings

Derives a modified path integral with variable constants

Proposes a manifold of possible physics laws

Obtains solutions resembling dark energy and anomalies

Abstract

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 scale are determined by the underlying distribution of the fundamental parameters (i.e Quantum Mechanics is just one point on this manifold), thus leading to many possible physical-law based behaviors. By choosing a Gaussian distribution of the parameters, a quadratic action term appears in the path-integral, which in turns leads to a complex classical action (and by continuation a new description for inertia) at the classical level. In the accompanying manuscript the classical doublet equation of motion is applied to the Newtonian gravitation field, and a MOND-like, dark-energy-like, and pioneer-anomaly-like solutions are derived.