**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) |