How can information possibly be created?

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Dalton bevill
Isnt the creation of information the same as the creation of mass, or energy, in other words, not possIble? If I am an electron and at time =0 , my position and velocity are x y z and p q r, how can i have gained information when my position and velocity at time T are x2 y2 z2 and p2 r2 q2?
My position and velocity have not become more detailed, so what gives? If the universe is deterministic, than how can information be injected into the system?
 
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These may help answer your question:

http://www.pbs.org/wgbh/nova/blogs/physics/2014/04/is-information-fundamental/

and this where quantum information is neither created nor destroyed:

(PhysOrg.com) -- In the classical world, information can be copied and deleted at will. In the quantum world, however, the conservation of quantum information means that information cannot be created nor destroyed. This concept stems from two fundamental theorems of quantum mechanics: the no-cloning theorem and the no-deleting theorem.

Read more at: https://phys.org/news/2011-03-quantum-no-hiding-theorem-experimentally.html#jCp
 
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Dalton bevill said:
If I am an electron and at time =0 , my position and velocity are x y z and p q r, how can i have gained information when my position and velocity at time T are x2 y2 z2 and p2 r2 q2?

Who says you have gained information? In what source (textbook or peer-reviewed paper) is that claim being made?
 
PeterDonis said:
Who says you have gained information? In what source (textbook or peer-reviewed paper) is that claim being made?
Reading about information being equivalent to entropy (i.e. Shannon entropy). So if a gas expands to fill a larger volume, its entropy obviously has increased, but i don't understand how that means the system has gained information. The way i see it the info of where the molecules will be in the current (expanded) volume should be present in the previous (condensed) volume.
 
Dalton bevill said:
Reading about information being equivalent to information (i.e. Shannon entropy).

Where? Please give specific references to textbooks or peer-reviewed papers.

As a brief comment, "information" in the sense of Shannon information (which is actually the inverse of entropy) is not the same as "information" in the sense that term is being used when it is said that "information is conserved". Shannon information is in general not conserved (for the same reason that entropy is in general not conserved).
 
PeterDonis said:
Where? Please give specific references to textbooks or peer-reviewed papers.

As a brief comment, "information" in the sense of Shannon information (which is actually the inverse of entropy) is not the same as "information" in the sense that term is being used when it is said that "information is conserved". Shannon information is in general not conserved (for the same reason that entropy is in general not conserved).
Oh. From my reading the idea of information going down as entropy increased was a misconception of the situation but more importantly I also had felt that information (in the sense of total amount of bits required to describe a particle or system) seemed different from entropy (for some of the reasons i had stated). Do you have a link to any of the sources on how they differ? I am currently trying to find an explanation i read on a college professors website explaning how entanglement caused the total information to remain constant even with growing entropy. I couldn't help but fall in love with that idea because of my view that information growing was paradoxical.
 
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