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Entanglement networks and perspective

Physics Asked by Asklepian on March 16, 2021

So, superposition is supposed to be fragile because, if any information leaks from the system, the wave function collapses. However, the very definition of ‘information leaking’ must set up an entanglement between the internal system and the external system to which information leaked. That is, by sharing information, they now are described by the same wave function, rather than separate wave functions. In other words, what really exists are distinct entanglement networks that are either informationally connected or not.

This notion of entanglement networks sets up a quantum analog for the relativistic idea of perspective. In terms of entanglement networks, information either belongs to the network and is accessible and not probabilistic. So, we say the wave function is collapsed. Or, the information belongs to another network and is inaccessible, forcing us to consider only global properties about all possible system states. So, we say the wave function is preserved and probabilistic. From the quantum perspective then, all that exists is internal vs. external information. Interestingly, as they show in this paper (https://arxiv.org/abs/1310.4691), time itself emerges from entanglement. That is, networks to which we do not have informational access must be viewed globally and are, therefore, static and timeless.

So, entanglement networks can have perspectives: internal vs external. Observers in general relativity can also have perspectives. In GR, the distortion between perspectives caused by energy densities manifests as a difference in how fast time runs. In entanglement networks, the distortion between internal and external perspectives also manifests as a difference in how fast time runs. Thus, is it reasonable to assume that what is being described by GR, from an entanglement network perspective, is the relative internality/externality of information shared between 2 different networks? Or, put another way, do energy densities alter the extent to which an entanglement network can be connected with other entanglement networks? If free energy is defined as the information a system contains above thermodynamic equilibrium, thermodynamic equilibrium must be defined as the state in which a system is maximally entangled with its environment, the state in which no more information can be leaked. Thus, thermodynamically, any system with an environment can be thought of as two entanglement networks with some degree of entanglement between them, some informational overlap. By increasing a system’s energy are we increasing the self-interaction/self-entanglement of a system (its bulk) while simultaneously reducing the entanglement ‘surface area’ (its boundary) with its environment network? Therefore, where thermodynamic equilibrium is a state of maximum entanglement with a system’s environment, shouldn’t there be a corresponding state of minimum entanglement with a system’s environment? In this sense aren’t there degrees of connectivity between entanglement networks, even a whole continuum, that sets up time dilation, perspectives, and an interesting agreement between QM and GR?

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