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Quantum Entanglement as the Manifestation of Information's Indivisibility

long 杜

Published Mar 15, 2026• 0 citations
Publisher
DOI
10.5281/zenodo.19027456

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Abstract Quantum entanglement and quantum nonlocality are examined in the context of the fundamental relationship between spacetime symmetry and conservation laws. It is established that quantum nonlocality arises from the very structure of spacetime. Arguments are presented in favor of the secondary nature of the spacetime continuum relative to more fundamental principles and concepts of the microworld. An example is given of a closed quantum entangled system, which demonstrates that such a system behaves as an indivisible whole: its particles are inseparably linked through the conservation of momentum. Physically, this manifests as strict correlations in measurements—correlations that must be nonlocal in nature. This supports the idea that there exist deep mechanisms of coordination, such as the principle of reciprocity between coordinate and momentum representations, and binary relations permeating the fabric of nonlocal spacetime. To understand the coherent behavior of such systems, it is necessary to move beyond local reductionism and accept the objective reality of global connections that bind the elements of the system into a unified ensemble.
The problem of defining quantum non-Markovianity has proven elusive, with various inequivalent criteria put forth to address it. We consider the question: what is the weakest notion of quantum non-Markovianity of system dynamics that would account for any aspect of memory? That is, a process indicated to be non-Markovian according to any existing criterion is also non-Markovian according to this criterion, but the converse may not be true. Correspondingly, we identify true memorylessness with the idea of the quantum dynamics being temporally self-similar, whereby the form of the intermediate map that propagates the state between two arbitrary time intervals is independent of the initial time t0t_0t0​. This is identified with the quantum dynamical semigroup (QDS), renewing advocacy for a familiar candidate. Of practical importance is that our weaker criterion is useful for indicating the non-Markovianity of CP-divisible channels that manifest an effect of counteracting decoherence. This is illustrated with the examples of power-law noise (PLN) and Ornstein-Uhlenbeck Noise (OUN). For physically well motivated channels, we propose a geometric quantification of non-Markovianity according to our definition, which is shown to be applicable to stronger manifestations of quantum non-Markovianity, demonstrated here by application to various channels, including those that are CP-indivisible, P-indivisible and eternally non-Markovian. Finally, we indicate a few open questions that come up as natural consequences of this work.