Storing data in quantum spaces.

[pondzo]

Would it be possible to store Data in a space smaller or equal to the plank length? And also does Data (or the storage of it) take up physical space and if so how much approximately?
Thanks, Michael.

 

[The_Duck]

And also does Data (or the storage of it) take up physical space and if so how much approximately?

There is believed to be an upper bound on the amount of information you can store in a given volume: http://en.wikipedia.org/wiki/Bekenstein_bound

Interestingly, according to this bound the maximum amount of data that you can store in a given spherical region is proportional to the *surface area* of the sphere instead of its volume.

 

[pondzo]

That is interesting! I had a look at the link and the equation involves the mass of the system, what do you think this would correspond to in my query?

 

[UltrafastPED]

Look up Landauer's limit and reconsider your question:
http://en.m.wikipedia.org/wiki/Landauer's_principle

There is a connection between information and entropy which must be taken into account.

 

[pondzo]

Look up Landauer's limit and reconsider your question:
http://en.m.wikipedia.org/wiki/Landauer's_principle

There is a connection between information and entropy which must be taken into account.

I'm not entirely sure how landauers limit applies to my question (since this principle applies to only a logically irriversible manipulation of data , which i don't think this is?), could you please explain?

There is believed to be an upper bound on the amount of information you can store in a given volume: http://en.wikipedia.org/wiki/Bekenstein_bound

Using this inequality I calculated the minumum mass-energy of a system required to store one bit of information in a sphere of diameter the Planck length, to be 4.316*10^-9 joules. which corresponds to a stationary mass of 4.802*10^-9 Kg.

I have only minimal understanding of computing systems, the processes of storing information and the sort of system required to do so, But is this order of mass for a system practically feasible? (or could it be in the near future? - and i know the future&technology is a vague concept itself but...)

 

[UltrafastPED]

Follow the various links ... for example, reversible computing.
http://en.m.wikipedia.org/wiki/Reversible_computing