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Thursday, April 9, 2020

The almost impossible worlds in quantum information


Following the many-world interpretation of quantum mechanics, one can identify one-to-one a possible state of a quantum system as what the universe can be considered with a possible world. Such a state with converging to zero, but nonzero probability can be designated as almost impossible unlike those with exactly zero probability, which are quite impossible and are not considered here. The identification of ‘world’ and ‘state’ can be generalized from the many-world interpretation to quantum mechanics at all thus: The experimentally verifiable part of quantum mechanics cannot differ ‘world’ with probability one after measuring from ‘state’ with probability less than one before measuring. Quantum mechanics requires the identification of the coherent superposition of ‘states’ before measuring with the statistical ensemble of ‘worlds’ after measuring.
One can define ‘impossible world’ in quantum mechanics as a state of a quantum system and its zero or converging to zero probability. If the latter is the case, a consisting of those states set of nonzero measure can have a finite nonzero probability. One of those “almost impossible” states will happen by the probability of the whole set after measuring the quantum system. Consequently such measurement can turn an almost impossible world to real. Tunnel junction is a phenomenon, which can illustrate this. The prerequisite for it to happen is the measured state to belong to a set of nonzero measure. Nothing like this can observed in the macroscopic world where there are not such consisting of almost impossible states sets of nonzero measure.
Quantum information is that part of quantum mechanics which studies the phenomena of entanglement. If a set of almost impossible states with nonzero measure is entangled with the second entangled system of any probability distribution, it will cause some restricting deformation of the probability distribution equivalent to the action of some physical force or to the interaction with some physical body or radiation correspondingly with some nonzero mass at rest or energy. Consequently the entangled almost impossible worlds can act as a physical force or interaction determining reality.
Entanglement is not Lorentz invariant in general. It can act beyond the visible universe remains “dark” as “dark matter” or “dark energy”. It is a possible explanation for these mysterious phenomena discovered recently. Furthermore, the action of almost impossible worlds cannot be ascribed to any separate entities but only to a whole of such. The almost impossible worlds can act only holistically and be discovered only by means of their effects indirectly remaining “dark” or “hidden” in principle.
The being of the almost impossible worlds in quantum mechanics and information can be distinguished as a separate modality possessing unique features:
– Any almost impossible world can transform into a real one after measuring like a possible one though its probability is zero practically.
– An almost impossible world can act on reality as an element of a set of nonzero measure only holistically and thus remaining invisible, “dark”.
Said metaphorically, that modality of an almost impossible world can be called ‘dark’. The being of such a world should be denominated as collective or holistic rather than individual or separate.



Presentation (PDF, Video); also as slides @ EasyChair
Realted content:
Negative and Complex Probability in Quantum Information - Paper (Presentation -YouTubeVideo)
More than impossible: negative and complex probabilities and their interpretation (BloggerPost, WordpressPost, YouTubePresentation, YouTubeText, TextPDF, Presenation)

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