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Is it "SPACE = TIME", or is the limitation actually set by the surface area of the volume enclosing the machine? In space-time coding for communications, the l
by femto 13y ago
Is it "SPACE = TIME", or is the limitation actually set by the surface area of the volume enclosing the machine? In space-time coding for communications, the limitation on achievable spectral efficiency is related to the surface area of the volume enclosing the antenna array, in units of wavelength. It would seem sensible if this was reflected in a fundamental property of information.
Maybe a fundamental limit of the universe is that the minimum surface area of a volume containing a subatomic structure is related to the information required to define that structure? My maths is a bit fuzzy, but isn't there a fundamental relationship between a volume its boundary, involving a Fourier Transform? That could then mean that a limitation on surface area is equivalent to a limitation of the (4-dimensional?) volume occupied by some other quantity?
The above is speculation on my part, but is there a HN reader our there who can say whether such thoughts are garbage, or whether they have some basis?
- pash 13y ago> ... isn't there a fundamental relationship between a volume its boundary, involving a Fourier Transform? You might be thinking of Stokes's theorem [0] or one of its special cases. 0. http://en.m.wikipedia.org/wiki/Stokes%27_theorem http://en.m.wikipedia.org/wiki/Stokes%27_theorem
- falcor84 13y agoI think that the relationship you're referring to is the holographic principle - https://en.wikipedia.org/wiki/Holographic_principle https://en.wikipedia.org/wiki/Holographic_principle My physics abilities are far from what I'd want them to be, but it does sound to me that there may be some insight in what you're saying.