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Just because space is curved, it does not mean it is a subspace of a higher dimension. All space is curved, even euclidean space. Flatness is a relation between a curvature of some subspace and the space it is part of. There is the wonderful image of space expanding equally as one might blow up a balloon, but this image might be as easily explained by ...


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In principle, $\mathcal{N}$ gives you the number of supercharges in your theory. There are, however, cases with more than one irreducible (pseudo-)real spinor representations. If you have $N$ charges in one and $N'$ charges in the other representation, you can denote the total number of charges as $\mathcal{N}=(N,N')$ in order to emphasize the difference. ...


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I am not sure that being in 3+1-D is a privilege. Actually, all the troubles with Feynmann integrals come from 4D. Secondly, the QFT is integrable only in 2+1-D. From the mathematical point of view, the 4D differentiable manifolds are most problematic. On contrary, I also heard that if the space is not 3D then the signal cannot be transmitted, but at the ...


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Think of a very thin wire. It is a 3-dimensional object, but for many purposes you can describe it just as a 1-dimensional line or curve. The two remaining dimensions are curled up in a tiny cross section. In a similar way, the speculations (not the slightest experimental hint exists that it should be so) about our world possibly being higher dimensional ...


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Measurement of length or dimension relates to human experience for quantifying and comparing . If human awareness is absent a point can be defined as infinite size or dimensionless or single or multidimensional.


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small and big is comparison and comparison is the common denominator. If we view the distant telephone wire with one normal eye and and the other with microscopic vision, this observational dimension conflict as well as an apparent new extra dimension will arise. Physics will have to accept observers consciousness as the canvas for extra spatial dimensions. ...



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