Dimensions and information content

[josephwouk]

I am wondering if anyone here conversant with information theory could tell me what the difference is in potential information content between 3 dimensions and 4 dimensions.

 

[Mentz114]

Assuming that the information content of a surface is $A/A_p$ bits, where A is the area in question and A_p is the Planck area, you can calculate how many independent 2D slices of thickness l_p ( Planck length) you can make in a space of N dimensions, and get a ratio of the information content.

This is the sort thing I was thinking of

http://en.wikipedia.org/wiki/Holographic_principle

http://www.damtp.cam.ac.uk/research/gr/public/holo/

 

[josephwouk]

That makes sense to me. I'm unfortunately not capable of doing the required mathematical calculations. It will clearly be an enormousness figure, however. Can you give me a sense of how large in exponential function it should be?

 

[josephwouk]

The reason this issue is important to me is that I am working on a theory that explains quantum "weirdness" as being a direct consequence of matter and radiation existing purely as waves in the 4 dimensions of space-time.

We experience these waves as "particles" when they are forced to manifest themselves in the 3 dimensional subset of space-time which we inhabit, which is created by the limitations set by the force of magnetism.

Quantum indeterminacy would thus directly result from the loss of information that occurs when the waves are thus shifted from 3 to 4 dimensions. The information is necessarily lost in this shift and is not capable of being calculated.

This would mean that Einstein was correct in his assertion that there was a "hidden variable" that could explain quantum behavior, beyond simple randomness.

However it would also mean that Bohr was correct in asserting that quantum mechanics was complete, because from our 3 dimensional perspective there is no possible way we could ever access the information lost in the transition from 4 to 3 dimensions.

 

[josephwouk]

Can nobody here in the forum give me any help on this question?

 

[Passionflower]

The reason this issue is important to me is that I am working on a theory that explains quantum "weirdness" as being a direct consequence of matter and radiation existing purely as waves in the 4 dimensions of space-time.

We experience these waves as "particles" when they are forced to manifest themselves in the 3 dimensional subset of space-time which we inhabit, which is created by the limitations set by the force of magnetism.

Quantum indeterminacy would thus directly result from the loss of information that occurs when the waves are thus shifted from 3 to 4 dimensions. The information is necessarily lost in this shift and is not capable of being calculated.

This would mean that Einstein was correct in his assertion that there was a "hidden variable" that could explain quantum behavior, beyond simple randomness.

However it would also mean that Bohr was correct in asserting that quantum mechanics was complete, because from our 3 dimensional perspective there is no possible way we could ever access the information lost in the transition from 4 to 3 dimensions.

https://www.amazon.com/dp/3642019528/?tag=pfamazon01-20
might possibly interest you.

 

[josephwouk]

Thank you, Passionflower. Downloading it now...

http://isohunt.com/download/236137817/?poster=&cat=10.torrent