Category

Physics theorems

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Noether's theorem

physical law that differentiable symmetries correspond to conservation laws

Stokes' theorem

theorem in vector calculus

parallel axis theorem

theorem in planar dynamics

general equation that relates the time-averaged total kinetic energy of a stable system consisting of N particles, bound by potential forces, with that of the time-averaged total potential energy

equipartition theorem

spin-statistics theorem

theorem that, in a Lorenz-invariant local quantum field theory, particles with integer spins are bosons, while particles with half-integer spins are fermions

Carnot's theorem

in thermodynamics, the principle that any heat engine operating between the same two thermal reservoirs cannot have an efficiency greater than a reversible heat engine operating between the same reservoirs

Clausius theorem

theorem that for a thermodynamic system undergoing a thermodynamic cycle, the following inequality holds: ∮ δ𝑄/𝑇 ≤ 0, where δ𝑄 is heat absorbed by the system and 𝑇 is the temperature

Poynting's theorem

theorem in physics, showing the conservation of energy for the electromagnetic field, expressed in the form of a partial differential equation developed by British physicist John Henry Poynting

Bertrand's theorem

theorem that, among central-force potentials with bound orbits, there are only 2 types of central-force scalar potentials such that all bound orbits are closed: inverse square and radial harmonic

Buckingham π theorem

dimensional analysis theorem

Earnshaw's theorem

Mathematical demonstration applied in electro-magnetism

Kutta–Joukowski theorem

tennis racket theorem

theorem that, in a 3d rigid body with 3 principal axes, rotation around 1st and 3rd principal axes is stable, but rotation around 2nd principal axis is not

In classical statistical mechanics, the ' H-theorem', introduced by Ludwig Boltzmann in 1872, describes the tendency of the quantity H (defined below) to decrease in a nearly-ideal gas of molecules. As this quantity H was meant to represent the entropy of thermodynamics, the H-theorem was an early demonstration of the power of statistical mechanics as it claimed to derive the second law of thermodynamics—a statement about fundamentally irreversible processes—from reversible microscopic mechanics. It is thought to prove the second law of thermodynamics, albeit under the assumption of low-entrop

Varignon's theorem (mechanics)

Simplified gravity models for objects inside or outside a spherically symmetrical body

equation relating the magnitudes of three coplanar, concurrent and non-collinear vectors, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding vectors

Goldstone boson

massless boson that must be present in a quantum system with spontaneously broken symmetry

fluctuation-dissipation theorem

König's theorem

named after Samuel König

perpendicular axis theorem

Mathematical theorem

Mermin–Wagner theorem

theorem about the impossibility of spontaneous symmetry breaking in two-dimensional systems at finite temperature

Bohr–Van Leeuwen theorem

Clairaut's theorem

formula for the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational field and centrifugal force

theorem transforming derivatives into combinatorics problems applied in quantum field theory

Betti's theorem

Reciprocal work theorem in engineering

optical theorem

theorem in physics

Taylor–Proudman theorem

free will theorem

quantum physics theorem that, given relativitistic causality, quantized spin and entanglement, if 2 experimenters each having one of a pair of entanged particles can freely decide what to measure, the measured results aren’t determined by prior state

shell bounded by two concentric, similar ellipses or ellipsoids