digraph G {
// https://dreampuf.github.io/GraphvizOnline
rankdir=LR;
subgraph cluster_1 {
"t: time";
"E: energy";
"p: momentum";
"F: force";
"m: mass";
"\\gamma: lorentz factor";
"v: velocity";
"B: magnetic field";
"E: electric field";
"h: Planck constant";
"a: acceleration";
"i: sqrt of -1";
"f: frequency";
"S: entropy";
"k_B: Boltzman constant";
"\\Omega: configurations";
label = "variables and constants";
color=blue
}
subgraph cluster_2 {
"F = m (dv/dt) = m a";
"p = \\gamma m v"
"\\nabla \\cross E = -(\\del B)/(del t)";
"i (h/(2 \\pi)) (d/dt)\\Psi = H \\Psi";
"E = h f";
"\\lambda_{deBroglie} = h/p";
"S = k_B ln \\Omega"
label = "expressions";
color=red
}
"domains of Physics" -> "classical mechanics (slow, big)";
"domains of Physics" -> "non-relativistic quantum mechanics";
"domains of Physics" -> "relativity";
"domains of Physics" -> "quantum field theory";
"classical mechanics (slow, big)" -> "Newton's laws of motion";
"Newton's laws of motion" -> "F = m (dv/dt) = m a";
"F = m (dv/dt) = m a" -> "m: mass";
"F = m (dv/dt) = m a" -> "p: momentum";
"F = m (dv/dt) = m a" -> "t: time";
"F = m (dv/dt) = m a" -> "F: force";
"F = m (dv/dt) = m a" -> "a: acceleration";
"F = m (dv/dt) = m a" -> "v: velocity";
"relativity" -> "special relativity";
"relativity" -> "general relativity";
"special relativity" -> "p = \\gamma m v";
"p = \\gamma m v" -> "p: momentum";
"p = \\gamma m v" -> "v: velocity";
"p = \\gamma m v" -> "\\gamma: lorentz factor";
"p = \\gamma m v" -> "m: mass";
"classical mechanics (slow, big)" -> "fluid dynamics";
"fluid dynamics" -> "Navier-Stokes equation";
"classical mechanics (slow, big)" -> "electrodynamics";
"electrodynamics" -> "Maxwell's equations";
"Maxwell's equations" -> "\\nabla \\cross E = -(\\del B)/(del t)";
"\\nabla \\cross E = -(\\del B)/(del t)" -> "t: time";
"\\nabla \\cross E = -(\\del B)/(del t)" -> "E: electric field";
"\\nabla \\cross E = -(\\del B)/(del t)" -> "B: magnetic field";
"classical mechanics (slow, big)" -> "kinematics"
"kinematics" -> "non-relativistic particles"
"non-relativistic particles" -> "plasma physics"
"electrodynamics" -> "plasma physics"
"plasma physics" -> "magnetohydrodynamics"
"fluid dynamics" -> "plasma physics";
"statistical mechanics" -> "S = k_B ln \\Omega";
"S = k_B ln \\Omega" -> "S: entropy";
"S = k_B ln \\Omega" -> "k_B: Boltzman constant";
"S = k_B ln \\Omega" -> "\\Omega: configurations";
"non-relativistic particles" -> "statistical mechanics"
"non-relativistic particles" -> "thermodynamics"
"thermodynamics" -> "entropy"
"non-relativistic particles" -> "non-relativistic quantum mechanics"
"non-relativistic quantum mechanics" -> "deBroglie wavelength"
"deBroglie wavelength" -> "\\lambda_{deBroglie} = h/p"
"\\lambda_{deBroglie} = h/p" -> "h: Planck constant"
"\\lambda_{deBroglie} = h/p" -> "p: momentum"
"non-relativistic quantum mechanics" -> "Schrödinger equation"
"Schrödinger equation" -> "i (h/(2 \\pi)) (d/dt)\\Psi = H \\Psi"
"i (h/(2 \\pi)) (d/dt)\\Psi = H \\Psi" -> "i: sqrt of -1"
"i (h/(2 \\pi)) (d/dt)\\Psi = H \\Psi" -> "h: Planck constant"
"i (h/(2 \\pi)) (d/dt)\\Psi = H \\Psi" -> "t: time"
"Planck–Einstein relation" -> "E = h f"
"E = h f" -> "E: energy"
"E = h f" -> "h: Planck constant"
"E = h f" -> "f: frequency"
}