| 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) |