While reading Lee Smolin's book "Three Roads to Quantum Gravity" in which he talks about the Bekenstein bound and a smallest fundamental unit of area, the following occured to me:(adsbygoogle = window.adsbygoogle || []).push({});

Suppose there does exist such a smallest unit, call it A.

Then there exists a smallest volume, V(a).

A singularity (in the sense of a black-hole), by definition has infinite density.

By the definition of density and the above lower bound on volume of a region V(a), the singularity must have infinite mass.

What gives?

Sincerely,

Adam

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# A Layman's Question About the Nature of Space

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