---
tags:
  - science/physics
  - equations
  - famous-equations
created: 2026-05-16
breadcrumb: "Physics > Famous equations > Famous physics equations"
---

# Famous physics equations

> **Mechanism:** Compact statements that capture huge ranges of behaviour

## Items

- **Newton's second law** — F = ma — net force equals mass times acceleration.
- **Universal gravitation** — F = G m₁m₂ / r² — gravitational force between two point masses.
- **Mass-energy equivalence** — E = mc² — rest energy of a body of mass m.
- **Schrödinger equation** — iℏ ∂ψ/∂t = Ĥψ — time evolution of a quantum state.
- **Planck relation** — E = hν — energy of a photon of frequency ν.
- **de Broglie** — λ = h / p — wavelength associated with a particle of momentum p.
- **Boltzmann entropy** — S = k_B ln Ω — entropy from the number of microstates.
- **Stefan–Boltzmann** — P = εσAT⁴ — radiative power from a hot body.
- **Ideal gas** — PV = nRT — pressure, volume, temperature for an ideal gas.
- **Lorentz force** — F = q(E + v × B).
- **Maxwell's equations** — ∇·E = ρ/ε₀ · ∇·B = 0 · ∇×E = −∂B/∂t · ∇×B = μ₀J + μ₀ε₀ ∂E/∂t.
- **Dirac equation** — (iγ^µ ∂_µ − m)ψ = 0 — relativistic quantum mechanics of fermions.
- **Navier–Stokes** — ρ(∂v/∂t + v·∇v) = −∇p + µ∇²v + f — fluid motion.
- **Einstein field eqn.** — G_µν = 8πG T_µν / c⁴ — spacetime curvature from mass-energy.

## Related

- [[newtons-laws]]
- [[maxwells-equations-overview]]
- [[relativity]]
- [[thermodynamics]]