Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Tom Potter

Posts: 497
Registered: 8/9/06
How mathematicians view physics
Posted: Nov 2, 2013 3:26 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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)

--
Tom Potter
-----------------
http://prioritize.biz/
http://voices.yuku.com/forums/66
http://xrl.in/63g4
http://www.tompotter.us







Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.