Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Analyzing Power Law Extensions of Newtonian Gravity Using Differential Force Measurements

Version 1 : Received: 23 February 2024 / Approved: 26 February 2024 / Online: 26 February 2024 (11:51:56 CET)

A peer-reviewed article of this Preprint also exists.

Bsaibes, T.; Decca, R. Analyzing Power Law Extensions of Newtonian Gravity Using Differential Force Measurements. Metrology 2024, 4, 227-239. Bsaibes, T.; Decca, R. Analyzing Power Law Extensions of Newtonian Gravity Using Differential Force Measurements. Metrology 2024, 4, 227-239.

Abstract

The Standard Model is not a complete description of reality; it omits the existence of dark matter, dark energy, and an explanation as to why no CP violation has been observed. However, some of these phenomena could be explained through a new force mediated by a new boson. If such a boson were massless it would result in a power law potential and if massive the interaction would be Yukawa-like. A previous experiment employing a micro-mechanical oscillator and a spherical test mass interactions was successful in placing the best limits on a mass-mass Yukawa-like interaction, but the data was never analyzed in the context of a power law. Here that data is analyzed considering a power law for powers n = 1-5 where n is the number of boson exchanges. The results show that the limits obtained through power law analysis of this data are not better than the currently accepted limits. A discussion of an experiment design capable of producing better limits on power law extensions to the Standard Model is presented, and suggests micro mechanical oscillators based experiment remains capable of improving the limits by at least one order of magnitude.

Keywords

hypothetical interactions; power-type potentials; constraints on hypothetical particles

Subject

Physical Sciences, Other

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