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Given that every particle that we have experimental confirmation of is an oscillation of its field (from what we know), and given dark matter is thought to be a particle yet undiscovered according to most theory, isn't it implied that this is an oscillation in a yet unknown field? Especially with the lack of results relating to WIMPs and other particles theorized.

What theories predict a new field relating to dark matter? Have any garnered significant interest and additional work?

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    $\begingroup$ The title says "force", the body says "field". Which one do you mean, and would you like to know anything more specific? (Because currently the literal answer to your question might be "Yes.", which is too short to even submit as an answer) $\endgroup$ – ACuriousMind Jan 20 at 13:18
  • $\begingroup$ @ACuriousMind Please do give me an example of any theory or framework that predicts a force without an underlying field for which it can act, otherwise that was silly. But I updated my question:) $\endgroup$ – hisairnessag3 Jan 20 at 13:32
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    $\begingroup$ ...that there are no forces without fields doesn't mean there are no fields without forces. It's perfectly possible that there is no new force and yet a new particle that makes up dark matter. $\endgroup$ – ACuriousMind Jan 20 at 13:39
  • $\begingroup$ Even Higgs coupling could be considered a force if we are just talking fundamental interactions rather than exclusively momentum inducing vector fields, so I find that rather disingenuous. ...feel free to answer the question though. $\endgroup$ – hisairnessag3 Jan 20 at 13:57
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    $\begingroup$ More on Higgs as a force: physics.stackexchange.com/q/1080/2451 and links therein. $\endgroup$ – Qmechanic Jan 20 at 17:29
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In the standard model of particle physics the fundamental forces are carried by the gauge bosons of the $SU(3)xSU(2)xU(1)$ theory. In the Feynman diagrams, any $dp/dt$ transferred in the interaction can be considered as a force, but there are just three fundamental forces, weak, strong, electromagnetic (and in effective quantizations of gravity, also gravitational) .

For dark matter extensions of the standard model and completely new theories ( like string theory) may be used. For GUTS there are extra symmetries and extra gauge bosons,, sometimes called X and Y, in analogy with the weak W and Z so in this sense there are extra fundamental forces at that level.

At the moment it will depend on the models used in the case that WIMPs are the constituents of dark matter. There are other models for dark matter, like MACHOs that have nothing to do with fundamental forces.

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Based on the predictive and explanatory success of quantum field theory, a new dark matter particle is defined as an excitation in a new matter field. So the answer to "What theories predict a new field relating to dark matter?" is "all widespread theories of dark matter," because there is simply no reason not to assume that quantum field theory works.

Based on your comments, some clarification is necessary on the definition of a "force." The macroscopic, Newtonian definition of "force" is "an interaction that, in the absence of other interactions, would cause an object to accelerate." It's pretty clear that you can't apply this to QFT - for one thing, how many objects are present isn't even well-defined in most high-energy interactions! The definition of "force" in quantum field theory seems to be somewhat nebulous and may even be arbitrary: see the discussion here for details: What is the definition of "force" in quantum field theory?. So it's not clear that your question on whether this constitutes a "new force" is strictly answerable without also supplying your definition of "force."

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