Abstract

The exact expectation values 〈d〉 = 1 [〈d〉 − 4] and 〈n〉 = 1 [〈n〉 − 4] of the relevant space and fractal-Hausdorff dimensions n and d c ( n) of a Cantorian space & are derived using an exact discrete gamma distribution function. Possible number theoretical interpretation of our neurological perception of a 3 + 1-dimensional space time is discussed briefly.

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