Examples of no-go theorems

• Bell's theorem
  Bell's theorem
  In theoretical physics, Bell's theorem is a no-go theorem, loosely stating that:The theorem has great importance for physics and the philosophy of science, as it implies that quantum physics must necessarily violate either the principle of locality or counterfactual definiteness...
  
  
• Coleman–Mandula theorem
• Haag-Lopuszanski-Sohnius theorem
  Haag-Lopuszanski-Sohnius theorem
  In theoretical physics, the Haag–Lopuszanski–Sohnius theorem shows that the possible symmetries of a consistent 4-dimensional quantum field theory do not only consist of internal symmetries and Poincaré symmetry, but can also include supersymmetry as a nontrivial extension of the Poincaré algebra...
  
  
• Earnshaw's theorem
  Earnshaw's theorem
  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. This was first proven by British mathematician Samuel Earnshaw in 1842. It is usually referenced to magnetic...
  
  
• Heisenberg uncertainty principle
  Uncertainty principle
  In quantum mechanics, the Heisenberg uncertainty principle states a fundamental limit on the accuracy with which certain pairs of physical properties of a particle, such as position and momentum, can be simultaneously known...
  
  
• Weinberg-Witten theorem
• Antidynamo theorem
  Antidynamo theorem
  In physics and in particular in the theory of magnetism, an antidynamo theorem is one of several results that restrict the type of magnetic fields that may be produced by dynamo action....
  
  s (e.g. Cowling's Theorem)
• No-communication theorem
  No-communication theorem
  In quantum information theory, a no-communication theorem is a result which gives conditions under which instantaneous transfer of information between two observers is impossible. These results can be applied to understand the so-called paradoxes in quantum mechanics such as the EPR paradox or...
  
  
• No-teleportation theorem
• No-cloning theorem
• No-broadcast theorem
  No-broadcast theorem
  The no-broadcast theorem is a result in quantum information theory. In the case of pure quantum states, it is a corollary of the no-cloning theorem: since quantum states cannot be copied in general, they cannot be broadcast...