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An equivalence principle for scalar forces

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abstract

The equivalence of inertial and gravitational masses is a defining feature of general relativity. Here, we clarify the status of the equivalence principle for interactions mediated by a universally coupled scalar, motivated partly by recent attempts to modify gravity at cosmological distances. Although a universal scalar-matter coupling is not mandatory, once postulated, it is stable against classical and quantum renormalizations in the matter sector. The coupling strength itself is subject to renormalization of course. The scalar equivalence principle is violated only for objects for which either the graviton self-interaction or the scalar self-interaction is important---the first applies to black holes, while the second type of violation is avoided if the scalar is Galilean-symmetric.

fields

hep-ph 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Background-Induced Forces from Quadratically Coupled Ultralight Dark Matter hep-ph · 2026-06-26 · unverdicted · none · ref 56 · internal anchor

    Earth screening of quadratically coupled ultralight dark matter produces a multi-band frequency structure in the induced force whose sideband amplitudes vary annually, enabling improved constraints from MICROSCOPE and future EP missions.