I Summary of the fundamental equations/laws

[JoePhysics]

Hey, all!

So, a friend of mine recently bought a shirt with a bunch of random, nonsensical formulas on them and it kind of seemed odd to me. So I had an idea for a T-shirt design with proper formulas... The basic, fundamental equations and laws of physics as we know them now.

So far I have Newton's laws, Lagrangian and Hamiltonian mechanics, Maxwell's equations, the laws of thermodynamics, Schrödinger's equation and Einstein's field equations for general relativity.

What else am I missing? What are the most general principles or equation(s) in QFT/QED?

Thanks in advance!

 

[John Park]

Dirac's equation. Navier-Stokes for fluid flow? Is the ideal gas law too trivial? Stefan-Boltzmann? (What size is this tee-shirt?)

 

[JoePhysics]

Dirac's equation. Navier-Stokes for fluid flow? Is the ideal gas law too trivial? Stefan-Boltzmann? (What size is this tee-shirt?)

Oh, Dirac's equation may be a good idea! Navier-Stokes is indeed important but not fundamental in the sense that it's conservation of linear momentum for a continuous medium coupled with the constitutive equation for a Newtonian and incompressible fluid; same for ideal gas law, it can be derived, and Stefan-Boltzmann can be derived from integrating Planck's law.

And I guess this is a normal-sized T-shirt? I don't know, maybe large size?

 

[fresh_42]

How about Emmy Noether's theorem: A statement about symmetries of differential equation is the most fundamental subject I can think about, because it carries the way we try to understand nature: by symmetries and dynamics.

 

[JoePhysics]

How about Emmy Noether's theorem: A statement about symmetries of differential equation is the most fundamental subject I can think about, because it carries the way we try to understand nature: by symmetries and dynamics.

That is a very good point!