Information: finite or infinite?

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SUMMARY

This discussion explores whether a finite amount of matter and energy can store an infinite amount of information within a finite volume of space. Key points include the implications of quantized energy and particles on the finite nature of information in the universe, as well as the philosophical considerations regarding consciousness and sentience. The conversation references the Bekenstein bound, which limits the amount of information that can be contained within a given physical system. Ultimately, the discussion raises profound questions about the nature of existence and the limits of human thought.

PREREQUISITES
  • Understanding of Bekenstein bound and its implications on information storage
  • Familiarity with concepts of quantization in physics
  • Knowledge of classical physics principles
  • Basic grasp of philosophical implications of consciousness and sentience
NEXT STEPS
  • Research the Bekenstein bound and its relevance to information theory
  • Study quantization of energy and its effects on physical systems
  • Explore classical physics and its limitations in describing the universe
  • Investigate philosophical theories regarding consciousness and its relationship to physical existence
USEFUL FOR

This discussion is beneficial for physicists, philosophers, and anyone interested in the intersection of information theory, quantum mechanics, and the nature of consciousness.

gluefish
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Given a finite volume of space, can a finite amount of matter and energy store an infinite amount of information?1
Given x grams of matter, y joules of energy, and Z ml of volume, does the amount of information that could be stored (states that each bit of matter / energy could exist) diverge?2

Rephrased: Could an 'omnipotent master and creator of the universe' use his creation to store an infinite amount of information?3 Does imposing or removing a volumetric limit to this universe affect the answer?4

In order for classical physics to remain accurate, some forms of energy must be define as being quantized (made of energy and particles rather than energy alone --angular momentum as an example). Does the act of quantizing degrees of freedom imply that the universe could be described as a finite collection of states- implying that the amount of information in the universe is finite?5

If the answer is yes, does that mean that all of human thought is finite (given our brains are of finite matter / energy)?6 Or do entities of consciousness and sentience transcend the physical universe?7

Note1: I have numbered each question I have posed to help provide clarity in the discussion of these very separate-but-related concepts.
Note2: Sorry if questions 6 and 7 are more philosophical and unknowable than actual physical concepts.
Note3: Questions 1-4 are intended to be equivalent to one another.
Note4: When I refer to matter or energy, I mean to refer to any form of non-nothingness. Matter, energy, or any other form of 'existence' would qualify (how to refer to this?8)
Note5: Pertaining to questions 3 and 4, assume the 'omnipotent creator' can know all information without needing to observe it (I don't want the idea to be rejected simply because the creator could not observe and store information in certain ways).
 
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I think you can find several answers in http://en.wikipedia.org/wiki/Bekenstein_bound"
 
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