A Status of large higher dimensions

Anne Ross
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The second Randall-Sundrum model was based on a large as opposed to compactified dimension. Has the possible existence of large higher dimensions been eliminated and what evidence rules them out?
 
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Recently, Spergel's group have written a paper based on last year's widely discussed neutron star collision which was detected using both EM as well as GW astronomy. The measurement experimentally constrains the amount of spacetime dimensions to 3+1 and it has therefore ruled out models based on the hypothesis that gravitational leakage occurs into large extra dimensions (which would explain the relative weakness of gravity), such as 3-brane models embedded in higher dimensional spaces.
 
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That is great Auto-Didact. Just what I needed.
 
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I seem to notice a buildup of papers like this: Detecting single gravitons with quantum sensing. (OK, old one.) Toward graviton detection via photon-graviton quantum state conversion Is this akin to “we’re soon gonna put string theory to the test”, or are these legit? Mind, I’m not expecting anyone to read the papers and explain them to me, but if one of you educated people already have an opinion I’d like to hear it. If not please ignore me. EDIT: I strongly suspect it’s bunk but...
I'm trying to understand the relationship between the Higgs mechanism and the concept of inertia. The Higgs field gives fundamental particles their rest mass, but it doesn't seem to directly explain why a massive object resists acceleration (inertia). My question is: How does the Standard Model account for inertia? Is it simply taken as a given property of mass, or is there a deeper connection to the vacuum structure? Furthermore, how does the Higgs mechanism relate to broader concepts like...

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