Can Non-Gauge Forces Exist in the Quantum Vacuum?

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Do all forces of nature have to support gauge symmetry? Are there none gauge forces? Or what if there is a force but it is not gauge.. then what do you call it?

For example. The quantum vacuum are very complex thing and can act like medium where other forces may propagate, what principles forbid other forces from occurring? Four forces seem to be so few and limiting the expression of the very complex and versatile quantum vacuum.
 
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