I've finished reading Brian Greene's "Fabric of the Cosmos" and the last chapter intrigued me.(adsbygoogle = window.adsbygoogle || []).push({});

He talks about how Hawking et al have proven that the maximum entropy inside a black hole is a function of thesurface areaof the BH, not thevolume. This can be expanded to any volume of space, ultimately leading to the conclusion that the maximum entropy of (and thus the maximum information containable within) any volume of space is a function of its surface area.

(Wait for it, there's a question at the end of all this)

This places a constraint on the freedoms with which anything within that volume can be described, which implies a limit on our free will. (I am greatly simplifying.)

Generalizing: no matter how many dimensions a volume has, it can be described using n-1 dimensions (eg. a 4 dimensional space has a 3 dimensional surface area and can only contain as much information as can be described upon its surface).

So, my question:

If our universe turns out to have 10 or 11 dimensions, it would only take the loss of one of them (or equivalent loss, divided up among more than one) to satisfy this constraint. This would leave complete freedom in all dimensions that are experienced by us.

Would it not?

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# Holographic principle

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