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Topic: How mathematicians view physics
Replies: 8   Last Post: Nov 3, 2013 7:47 PM

 Messages: [ Previous | Next ]
 Tom Potter Posts: 497 Registered: 8/9/06
How mathematicians view physics
Posted: Nov 2, 2013 3:26 AM

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)

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Tom Potter
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Date Subject Author
11/2/13 Tom Potter
11/2/13 Lord Androcles
11/2/13 Tanu R.
11/2/13 Lord Androcles
11/3/13 Brian Q. Hutchings
11/3/13 hanson
11/3/13 Brian Q. Hutchings
11/2/13 Brian Q. Hutchings