# Table of the Laws of Physics and their Sources

 Law of Physics Source Conservation of momentum Space translation symmetry Conservation of angular momentum Space rotation symmetry Conservation of energy (First law of thermodynamics) Time translation symmetry Newton's 1st Law of Motion Conservation of momentum (space translation symmetry) Newton's 2nd Law of Motion Definition of force Newton's 3rd Law of Motion Conservation of momentum (space translation symmetry) Second law of thermodynamics Statistical definition of the arrow of time Special relativity Space-time rotation symmetry General relativity General covariance, Leibniz-Mach principle, principle of equivalence Quantum time evolution equation (time-dependent Schrödinger equation) Global gauge invariance Quantum operator differential forms Global gauge invariance Quantum operator commutation rules Global gauge invariance Quantization of action Global gauge invariance Quantization rules for angular momenta Global gauge invariance Maxwell's equations of electromagnetism Local gauge invariance under U(1) Quantum Lagrangians for particles in presence of electromagnetic field Local gauge invariance under U(1) Conservation of electric charge Global gauge invariance under U(1) Masslessness of photon Local gauge invariance under U(1) Conservation of weak isospin Global gauge invariance under SU(2) Electroweak Lagrangian Mixing of U(1) and S(2) local gauge symmetries (spontaneous symmetry breaking) Conservation of color charge Global gauge invariance under SU(3) Strong interaction Lagrangian Local gauge invariance under SU(3) Masslessness of gluon Local gauge invariance under SU(3) Structure of the vacuum (Higgs particles) Spontaneous symmetry breaking Doublet structure of quarks and leptons Conservation of weak isospin (global gauge invariance under SU(2) Masses of particles Higgs mechanism (spontaneous symmetry breaking)