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2-Can Entrophy always increases statement imply information lost ?

3-If it implies how its lost ?

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In summary: CPT seems to imply it. You can reverse the system evolution by applying charge, parity and time conjugation, so the information about the past must be contained in the present state. That implies conservation of information by the evolution.

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2-Can Entrophy always increases statement imply information lost ?

3-If it implies how its lost ?

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Khashishi

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1. Entropy and information are basically opposites. Entropy tells you how many quantum states are consistent with the information you have. If you have more information about the state, then there are fewer states that match the description, so the entropy is less.

2. Yes.

3. When two particles interact, they trade some energy and momentum. The amount of energy/momentum transfer is in superposition. Somehow, the wavefunction collapses, and the amount of transfer takes on some random value. So, if we initially knew the energy/momentum of each particle before the interaction, afterwards we only know the total. So some information was lost. It's not clear how this wavefunction collapse occurs.

2. Yes.

3. When two particles interact, they trade some energy and momentum. The amount of energy/momentum transfer is in superposition. Somehow, the wavefunction collapses, and the amount of transfer takes on some random value. So, if we initially knew the energy/momentum of each particle before the interaction, afterwards we only know the total. So some information was lost. It's not clear how this wavefunction collapse occurs.

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Khashishi said:

2. Yes.

3. When two particles interact, they trade some energy and momentum. The amount of energy/momentum transfer is in superposition. Somehow, the wavefunction collapses, and the amount of transfer takes on some random value. So, if we initially knew the energy/momentum of each particle before the interaction, afterwards we only know the total. So some information was lost. It's not clear how this wavefunction collapse occurs.

I understand thanks,

Like Conservation of Information ?

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"CPT seems to imply it. You can reverse the system evolution by applying charge, parity and time conjugation, so the information about the past must be contained in the present state. That implies conservation of information by the evolution.

This may not be the answer you wanted, because it does not imply unitarity, but it is the only relationship between symmetry and information conservation that I can think of. Unitarity seems to be a very fundamental assumption though, and there is not much more fundamental mathematical structure you could use to argue about its necessity." (A.O.Tell,Physics Stack Exchange,https://physics.stackexchange.com/q...associated-to-the-conservation-of-information)

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Khashishi

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But, wavefunction collapse is not a unitary transformation.

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I don't know much things about wavefunction actually I am freshman at physics :)Khashishi said:But, wavefunction collapse is not a unitary transformation.

So it doesn't conserved.

Like energy,momentum etc is even not conserved in macroscopic states,like galaxy clusters scale etc.So It make sense to me that its not conserved.Maybe we can say the information about the system is lost during the time.It never disappeares but it just turns something that we can't describe the full system after a period of time using previous information

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Grinkle

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https://profmattstrassler.com/artic...ack-hole-information-paradox-an-introduction/

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Jilang

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Arman777 said:I searched a bit and says there's no such conservation but From unitarity or cpt there could be

"CPT seems to imply it. You can reverse the system evolution by applying charge, parity and time conjugation, so the information about the past must be contained in the present state. That implies conservation of information by the evolution.

/QUOTE]

Sure, that's fine if it doesn't interact with anything.

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I ll look when I can.Thanks :)Grinkle said:

https://profmattstrassler.com/artic...ack-hole-information-paradox-an-introduction/

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Makes sense...

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Information Theory is a branch of mathematics and computer science that deals with the quantification, storage, and communication of information. It is relevant to science because it provides a framework for understanding how information is processed and transmitted in various systems, including biological, social, and technological systems.

Entropy is a measure of the uncertainty or randomness in a system. In Information Theory, entropy is used to quantify the amount of information contained in a message or signal. The higher the entropy, the more uncertain or random the information is. Therefore, Information Theory and Entropy are closely related and often used interchangeably.

Shannon's Entropy is a mathematical formula developed by Claude Shannon in 1948, which measures the amount of uncertainty or randomness in a message or signal. It is calculated by taking the negative sum of the probability of each possible outcome multiplied by the logarithm of that probability. This formula allows us to quantify the amount of information contained in a message or signal.

Yes, Information Theory has been applied to a wide range of fields, including biology, neuroscience, economics, and linguistics. It can be used to study how information is processed and transmitted in various systems, including biological networks, neural networks, and social networks. It has also been used to analyze language and communication patterns in different cultures.

Information Theory has played a crucial role in the development of modern technology, particularly in the field of communication and information technology. It has led to the creation of more efficient coding and compression techniques, which have greatly improved data storage and transmission. It has also influenced the design of communication systems, such as wireless networks and the internet, making them more reliable and secure.

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