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Concept
No-go theorem
Summary
In theoretical physics, a no-go theorem is a theorem that states that a particular situation is not physically possible. Specifically, the term describes results in quantum mechanics like Bell's theorem and the Kochen–Specker theorem that constrain the permissible types of hidden variable theories which try to explain the apparent randomness of quantum mechanics as a deterministic model featuring hidden states.
Full descriptions of the no-go theorems named below are given in other articles linked to their names. A few of them are broad, general categories under which several theorems fall. Other names are broad and general-sounding but only refer to a single theorem.
Antidynamo theorems is a general category of theorems that restrict the type of magnetic fields that can be produced by dynamo action.
Cowling's theorem states that an axisymmetric magnetic field cannot be maintained through a self-sustaining dynamo action by an axially symmetric current.
Earnshaw's theorem states that a collection of point charges cannot be maintained in a stable stationary equilibrium configuration solely by the electrostatic interaction of the charges.
Bell's theorem
Kochen–Specker theorem
PBR theorem
No-hiding theorem
No-cloning theorem
Quantum no-deleting theorem
No-teleportation theorem
No-broadcast theorem
The no-communication theorem in quantum information theory gives conditions under which instantaneous transfer of information between two observers is impossible.
No-programming theorem
Weinberg–Witten theorem states that massless particles (either composite or elementary) with spin cannot carry a Lorentz-covariant current, while massless particles with spin cannot carry a Lorentz-covariant stress-energy. It is usually interpreted to mean that the graviton () in a relativistic quantum field theory cannot be a composite particle.
Nielsen–Ninomiya theorem limits when it is possible to formulate a chiral lattice theory for fermions.
Haag's theorem states that the interaction picture does not exist in an interacting, relativistic, quantum field theory (QFT).
Official source
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