How can information be conserved if we live in a quantum universe?

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SUMMARY

The discussion centers on the conservation of information in a quantum universe, emphasizing the distinction between classical and quantum information. It asserts that classical physics, particularly Newton's laws, is inadequate for predicting future states due to quantum uncertainty. The conversation highlights that while we cannot know the exact position of quantum particles, certain information about their possible locations is conserved. This principle is fundamental to understanding the nature of information in quantum mechanics.

PREREQUISITES
  • Understanding of classical physics, specifically Newton's laws
  • Basic knowledge of quantum mechanics and quantum uncertainty
  • Familiarity with the concepts of classical and quantum information
  • Awareness of the implications of information conservation in physics
NEXT STEPS
  • Research the principles of quantum mechanics and their implications for information theory
  • Study the differences between classical information and quantum information
  • Explore the concept of quantum uncertainty and its effects on measurement
  • Investigate the role of information conservation in modern physics
USEFUL FOR

Physicists, students of quantum mechanics, and anyone interested in the philosophical implications of information theory in a quantum context.

zeromodz
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For example, after the big bang, the only thing that decides the future is Newtons laws. However, we must take into account quantum effects we cannot be for sure what the future holds. Doesn't the same thing apply with information. How can we know the information about a system if there is quantum uncertainty?
 
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Classical physics, including Newtons laws, are known to be incorrect. (or at least inaccurate) As such the future is NOT decided by Newtons laws.
 
Physicists speaks of two kinds of information; classical information (appropriate in a Newtonian world picture) and quantum information (appropriate in the real world). Conservation of quantum information is at the heart of physics.

zeromodz said:
How can we know the information about a system if there is quantum uncertainty?

You'r right; we can't (always) know the information about a system, because of quantum uncertainties. But here nature gets weird: If we (that is, none, however technically advanced) cannot know the information about a system, then the information isn't there! It simply isn't defined. For example:
The information about exactly where an electron is, doesn't exist.
The information about where the electron certainly isn't do exist, and is conserved. That is to say that in the future, the electron won't be at a position where you know with certainty that it can't be (which sounds reasonable enough...).

Information is not an easy concept.
 

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