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Is there any experimental evidence that confirms or points toward extra spatial dimensions? I have been looking around for a bit, couldn't find anything.
This is if you assume that extra-dimensions are compactified and that gravity is not confined. In the warped spacetime of Randall and Sundrum, you can have "large extra-dimensions" without violating Newton's law.If extra spatial dimensions exist, they must be smaller than 45 um.
The DGP baneworld model also loosens the constraint on compactified extra dimensions, adding an extra infinite 5th bulk dimension:This is if you assume that extra-dimensions are compactified and that gravity is not confined. In the warped spacetime of Randall and Sundrum, you can have "large extra-dimensions" without violating Newton's law.
see for example: Phys.Rev.Lett. 83 (1999) 4690-4693 [hep-th/9906064]
Sure! Randall-Sundrum, by the way, does show departures from Newtonian gravitation. It's effectively a Yukawa-like potential due to the "warp factor" that attenuates the leakage into the bulk, albeit the deviations arise only at extremely small length scales (and not "sub-millimetre" as with the ADD model).sure.... there are many models out there.. perhaps one day we can create our own