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asklepian

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- TL;DR Summary
- How does decoherence transition quantum systems to classical states by encoding environmental interactions? Can light cones be seen as local entanglement networks reflecting spacetime's causal history? Is superluminal travel barred by decoherence and causality issues?

In the recent paper "The Decoherent Arrow of Time and the Entanglement Past Hypothesis" by Al-Khalili and Chen, the authors propose that the early universe had very low entanglement entropy, which increases over time and gives rise to the decoherent arrow of time.

1.) Can you elaborate on how decoherence functions as the process by which an initially indeterminate quantum system becomes effectively determined through interactions with its environment? Specifically, how does this process encode information about the system's state into the environment, thus creating a unique local historical record of these interactions? Additionally, what are the quantitative measures, such as von Neumann entropy or entanglement entropy, that can be used to describe this transition from a quantum superposition to a classical mixture?

2.) Considering that light cones define regions of spacetime within which causal interactions can occur, can we interpret these regions as encoding a local network of quantum entanglements that reflect the unique historical interactions within each light cone? How does this interpretation align with our current understanding of quantum entanglement and the causal structure of spacetime in the framework of general relativity? Are there any existing models or quantitative frameworks that describe this relationship?

3.) Is the prohibition of superluminal travel related to increased decoherence in regions of high energy density, potentially disrupting local entanglement correlations and leading to indeterminate states and causality violations? If superluminal travel were hypothetically possible, would superluminal disentanglement and subsequent subluminal reentanglement allow the encoding of a 'new' history, leading to causality violations? How do modern theoretical frameworks, such as quantum field theory and general relativity, quantitatively address these issues?

1.) Can you elaborate on how decoherence functions as the process by which an initially indeterminate quantum system becomes effectively determined through interactions with its environment? Specifically, how does this process encode information about the system's state into the environment, thus creating a unique local historical record of these interactions? Additionally, what are the quantitative measures, such as von Neumann entropy or entanglement entropy, that can be used to describe this transition from a quantum superposition to a classical mixture?

2.) Considering that light cones define regions of spacetime within which causal interactions can occur, can we interpret these regions as encoding a local network of quantum entanglements that reflect the unique historical interactions within each light cone? How does this interpretation align with our current understanding of quantum entanglement and the causal structure of spacetime in the framework of general relativity? Are there any existing models or quantitative frameworks that describe this relationship?

3.) Is the prohibition of superluminal travel related to increased decoherence in regions of high energy density, potentially disrupting local entanglement correlations and leading to indeterminate states and causality violations? If superluminal travel were hypothetically possible, would superluminal disentanglement and subsequent subluminal reentanglement allow the encoding of a 'new' history, leading to causality violations? How do modern theoretical frameworks, such as quantum field theory and general relativity, quantitatively address these issues?

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