Re: Dimensions, number of . . . etc

Posted by phobos on December 11, 19100 at 17:55:03:

In Reply to: Re: Dimensions, number of . . . etc posted by ronron on December 11, 19100 at 14:33:49:

No, no, no.

L^2 is infinite dimensional. 11, 26 or whatever is the
dimension of spacetime, which is for simplistic
purposes the dimension of the vector space whose
maps to the complex numbers define L^2. The important
thing here is that L^2 is a space of functions. These
functions are maps from one space to another. I'm
telling you that the dimension of the domain is 11, or
26 or whatever. I'm saying nothing about the dimension
of the Hilbert space, which is infinite.

phobos

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• Re: Dimensions, number of . . . etc ronron 12/13/100 (2)
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    • Re: Dimensions, number of . . . etc ronron 12/19/100 (0)

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