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As stated in another answer already, your definition of the holographic principle is misleading. More precisely, the holographic principle says the following: A theory of quantum gravity in a compact space should be equivalent to some theory on the boundary of this space. This statement (which is a conjecture) is motivated from the result of Bekenstein and ...


It is conjectured that they are equivalent. Regarding your two remarks notice that: 1) In string theory the extra dimensions are curled and small enough that we cannot perceive them. So for any practical everyday purposed string theory results in a 3D world. 2) the quote: Everything is happening in a surface and our three-dimensionality is an illusion of ...

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