Solar system and laboratory tests of the spectral action scale

Solar system and laboratory tests of the spectral action scale | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 3 April 2026 V1 Latest version Share on Solar system and laboratory tests of the spectral action scale Author : David Alfyorov 0009-0003-6027-7837 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177524450.03515205/v1 139 views 98 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We derive the observational consequences of the spectral action S = Tr f (D 2 /Λ 2) for weakfield gravity, using the one-loop form factors computed with the full Standard Model content. The linearized field equations yield a modified Newtonian potential with two Yukawa corrections whose amplitudes (−4/3 and +1/3) are fixed entirely by the spin decomposition of the graviton propagator, and whose ranges are set by calculable effective masses m2 = Λ √ 60/13 (spin-2) and m0 = Λ/ √ 6(ξ − 1/6) 2 (spin-0), where Λ is the spectral cutoff and ξ is the Higgs non-minimal coupling. The 1/r singularity of the Newtonian potential is regularized: V (r)/VN(r) → 0 as r → 0, and Newton's law is recovered for r ≫ 1/Λ. We extract the post-Newtonian parameter γ(r) and confront it with seven gravitational experiments spanning torsion-balance, time-delay, Casimir, satellite, and lunar-ranging measurements. The strongest bound arises from the Eöt-Wash experiment, yielding Λ > 2.565 × 10 −3 eV (1/Λ < 77 µm) at 95% CL. All solar-system tests are satisfied with exponential margin. The bound is determined by the SM content at conformal coupling ξ = 1/6 and depends weakly on ξ otherwise. Supplementary Material File (sct_solar_system.pdf) Download 237.15 KB Information & Authors Information Version history V1 Version 1 03 April 2026 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords effective field theory gravity measurement modified gravity modified gravity, dark matter alternatives, genzel paradox, galactic dynamics, general relativity, scalar-tensor theory, hubble tension, sparc dataset, human-ai collaboration nonlocal form factors physics quantum gravity relativity solar system solar system physics theoretical physics Authors Affiliations David Alfyorov 0009-0003-6027-7837 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 139 views 98 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation David Alfyorov. Solar system and laboratory tests of the spectral action scale. Authorea . 03 April 2026. 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