No-go theorem

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In

• magnetic fields that can be produced by dynamo
  action.
• 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
  quantum information theory
  gives conditions under which instantaneous transfer of information between two observers is impossible.
• No-programming theorem^[3]

Quantum field theory and string theory

• Weinberg–Witten theorem states that massless particles (either composite or elementary) with spin ${\displaystyle \;J>{\tfrac {1}{2}}\;}$ cannot carry a Lorentz-covariant current, while massless particles with spin ${\displaystyle \;J>1\;}$ cannot carry a Lorentz-covariant stress-energy. It is usually interpreted to mean that the graviton (${\displaystyle \;J=2\;}$) in a relativistic quantum field theory cannot be a composite particle.
• fermions
  .
• Haag's theorem states that the interaction picture does not exist in an interacting, relativistic, quantum field theory (QFT).^[4]
• relativistic quantum theory
  .
• Coleman–Mandula theorem states that "space-time and internal symmetries cannot be combined in any but a trivial way".
• Haag–Łopuszański–Sohnius theorem is a generalisation of the Coleman–Mandula theorem.
• Goddard–Thorn theorem or the no-ghost theorem,
• Maldacena–Nunez no-go theorem: any
  warp factor and trivial fluxes.^[5]

In mathematics there is the concept of proof of impossibility referring to problems impossible to solve. The difference between this impossibility and that of the no-go theorems is: a proof of impossibility states a category of logical proposition that may never be true; a no-go theorem instead presents a sequence of events that may never occur.

See also

• Arrow's impossibility theorem

References