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==Exact laws== {{Unreferenced section|date=August 2023}} A partial listing of physical conservation equations [[Symmetry (physics)#Conservation laws and symmetry|due to symmetry]] that are said to be '''exact laws''', or more precisely ''have never been proven to be violated:'' {| class="wikitable sortable" |- ! Conservation law !! colspan="2" | Respective Noether symmetry [[Invariant (physics)|invariance]]!! colspan="2" | Number of independent parameters (i.e. dimension of phase space) |- | [[Conservation of mass-energy]] ''E'' || [[Time translation symmetry|Time-translation invariance]] | rowspan="4" | [[Poincaré invariance]] || 1 || translation of time along ''t''-axis |- | [[Conservation of linear momentum]] '''p''' || [[Translation symmetry|Space-translation invariance]] || 3 || translation of space along ''x'',''y'',''z'' axes |- | [[Conservation of angular momentum]] '''L''' = '''r''' × '''p''' || [[Rotational symmetry|Rotation invariance]] || 3 || rotation of space about ''x'',''y'',''z'' axes |- | Conservation of boost 3-vector '''N''' = ''t'''''p''' − ''E'''''r''' || [[Lorentz covariance|Lorentz-boost invariance]] || 3 || Lorentz-boost of space-time along ''x'',''y'',''z'' axes |- | [[charge conservation|Conservation of electric charge]] | colspan="2" | [[U(1)]]<SUB>Q</SUB> [[Gauge invariance]] || 1 || translation of electrodynamic scalar potential field along ''V''-axis (in phase space) |- | Conservation of [[color charge]] | colspan="2" | [[SU(3)]]<SUB>C</SUB> [[Gauge invariance]] || 3 || translation of chromodynamic potential field along ''r'',''g'',''b''-axes (in phase space) |- | Conservation of [[weak isospin]] | colspan="2" | [[SU(2)]]<SUB>L</SUB> [[Gauge invariance]] || 1 || translation of weak potential field along axis in phase space |- |Conservation of the difference between baryon and lepton numbers ''[[B − L]]'' | colspan="2" |U(1)<sub>''B−L''</sub> Gauge invariance |1 | |} Another exact symmetry is [[CPT symmetry]], the simultaneous inversion of space and time coordinates, together with swapping all particles with their antiparticles; however being a discrete symmetry [[Noether's theorem]] does not apply to it. Accordingly, the conserved quantity, [[CPT parity]], can usually not be meaningfully calculated or determined.
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