Editing No-go theorem (section)

==Instances of no-go theorems==
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.

=== Classical electrodynamics ===
* [[Antidynamo theorem]]s are a general category of theorems that restrict the type of [[magnetic fields]] that can be produced by [[dynamo theory|dynamo]] action.
* [[Earnshaw's theorem]] states that a collection of [[point charge]]s cannot be maintained in a stable stationary [[mechanical equilibrium|equilibrium]] configuration solely by the [[electrostatic]] interaction of the charges.

=== Non-relativistic quantum mechanics and quantum information ===
* [[Bell's theorem]]<ref name=Oldofredi2018/>
* [[Kochen–Specker theorem]]<ref name=Oldofredi2018/>
* [[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]]<ref name=Nielsen-Chuang-1997>{{cite journal |last1=Nielsen |first1=M.A. |last2=Chuang |first2=Isaac L. |date=1997-07-14 |title=Programmable quantum gate arrays |journal=Physical Review Letters |volume=79 |issue=2 |pages=321–324 |doi=10.1103/PhysRevLett.79.321 |arxiv=quant-ph/9703032 |bibcode=1997PhRvL..79..321N |s2cid=119447939 |url=https://link.aps.org/doi/10.1103/PhysRevLett.79.321}}</ref>
* [[Von Neumann's no hidden variables proof]]

=== Quantum field theory and string theory ===
* [[Weinberg–Witten theorem]] states that massless particles (either composite or elementary) with spin <math>\; J > \tfrac{1}{2} \;</math> cannot carry a [[Lorentz covariance|Lorentz-covariant]] current, while massless particles with spin <math>\; J > 1 \;</math> cannot carry a Lorentz-covariant [[Stress–energy tensor|stress-energy]]. It is usually interpreted to mean that the [[graviton]] {{nowrap|(<math>\; J = 2 \;</math>)}} in a relativistic [[quantum field theory]] cannot be a composite particle.
* [[Nielsen–Ninomiya theorem]] limits when it is possible to formulate a [[chiral theory|chiral]] [[Lattice gauge theory|lattice theory]] for [[fermions]].
* [[Haag's theorem]] states that the [[interaction picture]] does not exist in an interacting, relativistic, [[quantum field theory]] (QFT).<ref>{{cite journal |last=Haag |first=Rudolf |year=1955 |title=On quantum field theories |journal=Matematisk-fysiske Meddelelser |volume=29 |page=12 |url=http://cdsweb.cern.ch/record/212242/files/p1.pdf}}</ref><ref name=Oldofredi2018/>
* [[Hegerfeldt's theorem]] implies that localizable free particles are incompatible with [[causality]] in [[relativistic quantum theory]].<ref name=Oldofredi2018/>
* [[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]]
* Maldacena–Nunez no-go theorem: any [[compactification (physics)|compactification]] of [[type II string theory|type IIB]] string theory on an internal [[compact space|compact]] space with no [[D-brane|brane]] sources will necessarily have a trivial [[warped geometry|warp factor]] and trivial [[flux]]es.<ref>{{cite book|last1=Becker|first1=K.|author-link1=|last2=Becker|first2=M.|author-link2=Melanie Becker|last3=Schwarz|first3=J.H.|author-link3=John Henry Schwarz|date=2007|title=String Theory and M-Theory|url=|doi=|location=Cambridge|publisher=Cambridge University Press|chapter=10|pages=480–482|isbn=978-0521860697}}</ref>
*[[Reeh–Schlieder theorem]]<ref name=Oldofredi2018/>

=== General relativity ===

* [[No-hair theorem]], black holes are characterized only by mass, charge, and spin