Magnetic levitation as a new probe of non-Newtonian gravity

We present the magnetic oscillatory resonator for rare-interaction studies (MORRIS) and propose the first tabletop search for non-Newtonian gravity due to a Yukawa-like fifth force using a magnetically levitated particle. Our experiment comprises a levitated submillimeter magnet in a superconducting trap that is driven by a time-periodic source. Featuring short-, medium-, and long-term stages, MORRIS will admit increasing sensitivities to the force coupling strength <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>α</a:mi> </a:math> , optimally probing screening lengths of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mi>λ</c:mi> <c:mo>∼</c:mo> <c:mn>1</c:mn> <c:mtext> </c:mtext> <c:mtext> </c:mtext> <c:mi>mm</c:mi> </c:math> . Our short-term setup provides a proof-of-principle study, with our medium- and long-term stages respectively constraining <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:mi>α</e:mi> <e:mo>≲</e:mo> <e:msup> <e:mn>10</e:mn> <e:mrow> <e:mo>−</e:mo> <e:mn>4</e:mn> </e:mrow> </e:msup> </e:math> and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mi>α</g:mi> <g:mo>≲</g:mo> <g:msup> <g:mn>10</g:mn> <g:mrow> <g:mo>−</g:mo> <g:mn>5</g:mn> </g:mrow> </g:msup> </g:math> , leading over existing bounds. Our projections are readily recastable to concrete models predicting the existence of fifth forces, and our statistical analysis is generally applicable to well-characterized sinusoidal driving forces. By leveraging ultralow dissipation and heavy test masses, MORRIS opens a new window onto tests of small-scale gravity and searches for physics beyond the Standard Model.