The unification of the laws of physics – a legitimate and long-standing aspiration – is undertaken here using the framework of discrete mechanics. Towards a Unification of the Laws of Physics in Classical Fields Theory extends these concepts to classical field physics.
This book examines and revisits the fundamental principles of physics to derive a unified law of motion capable of modeling the phenomena observed, which are currently described by disparate laws. The global reference frames of classical mechanics and relativity are abandoned: space is defined from a one-dimensional local reference frame, and time is considered discrete. Applying the principle of parsimony to the derivation of this single law leads to the rejection of many concepts from classical mechanics and relativity, retaining only proper acceleration as the sole absolute quantity.
The construction of this unified law of motion paves the way for a rational resolution of phenomena relating to mechanics, special and general relativity, electromagnetism and, more broadly, physics as a whole