Description

Universal physical laws are formulated on tangent spaces and related by linear transformations. As linearized spaces are our living world, symbols in Physics refer to real spacetimes, e.g., the ubiquitous imaginary number i in quantum mechanics. Despite the Author's own hypothesis of a combined universe of particle-waves, professional physicists can nevertheless gain additional insights from this book into many conventional topics such as the relationship between Maxwell Equations and Special Relativity, Pauli matrices, and Einstein's equations. Overall the presentation of this book is characterized by the Author's carefulness in his deductive arguments and thoughtfulness in his delivery. People in the general mathematical community who are interested in modern physics but deterred by its formalism may also find this book useful. As the principle of optimization guides theoretical physics as well as economics, the Author's advanced background in mathematical economics presents special ease in relating seemingly unrelated topics in physics, such as dark matter, quantum entanglement, anti-matter asymmetry and the wave-particle duality, in a well-integrated framework.