Common Sense and a “Wigner-Dirac” Approach to Quantum Mechanics

Andrzej Łukasik

Anto Unt

Frank Weinhold

We address basic questions concerning the atomistic-level description of “chemical” materials and their “changes” in the framework of current quantum mechanical understanding of natural phenomena. In this framework, we show how modern quantum chemical analysis of chemical reaction mechanisms, based on Fukui’s intrinsic reaction coordinate (IRC) and the Pauling-like bond order descriptors of natural resonance theory (NRT), can serve to resolve the logical paradoxes of Schrödinger’s cat and Wigner’s “impossibility of life” proof in common-sense manner.

Jean Bricmont

Victor Christianto, Daniel Chandra

Following our previous frugal experiments of low-intensity laser irradiation on potable water, allow us to present a few considerations why this writer thinks that these are a pathway towards realistic tunneling experiment especially in the context of quantum (liquid) crystalline Cosmology. First of all, allow us to recall our preceding articles in CTPNP 2019, and also in Octogon Magazine 2022 regarding exact correspondence between Maxwell equations of classical electrodynamics and Dirac equations. What is more interesting is that it can be shown that fine structure of hydrogen spectrum can be described alternatively by classical electromagnetic considerations, therefore it supports our previous conclusion of such correspondence between electromagnetic equations and Dirac equation of quantum mechanics. Secondly, a series of extended experiments on laser irradiated cold water may suggest possible transition from liquid phase of water to be at least partially fourth phase of water, which may be composed of crystalline water (see e.g. Gerald Pollack, and also Harold Aspden on liquid crystalline). If we can imagine laser cooling effect can be done in protracted time, then we can achieve a physical representation of Aspden‘s liquid crystalline, or in a more mathematical term, Wigner crystal. In that sense, the fourth phase of water can be considered as a quantum system which can undergo quantum tunneling. In that sense, quantum tunneling of 1D Wigner crystal has been already considered. Last but not least, we also consider testimony by certain Admiral that he saw Unidentified Submerged Objects instead of more common term UFO. This makes more sense especially in light of observations of underwatersubmerged built structures or pyramids which are thousands years old. All of these seem to suggest a possibility that USO saucers may prefer to keep being in cold underwater or Arctic region because it is much easier for them to go tunneling to extra galactic or other far distance travelling, cf for instance [14]. Nonetheless, we understood that this is merely hypothetical.

Kohtaro Tadaki

The notion of probability plays a crucial role in quantum mechanics. It appears in quantum mechanics as the Born rule. In modern mathematics which describes quantum mechanics, however, probability theory means nothing other than measure theory, and therefore any operational characterization of the notion of probability is still missing in quantum mechanics. In our former works [K. Tadaki, arXiv:1804.10174], based on the toolkit of algorithmic randomness, we presented a refinement of the Born rule, called the principle of typicality, for specifying the property of results of measurements in an operational way. The Wigner's friend paradox is a Gedankenexperiment regarding when and where the reduction of the state vector occurs in a chain of the measurements by several observers where the state of the consciousness of each observer is measured by the subsequent observer. In this paper, we extend the framework of the principle of typicality so that it can be applicable to situations where apparatuses perform measurements over other apparatuses. We then make an analysis of the Wigner's friend paradox within this extended framework of quantum mechanics based on the principle of typicality. We draw common sense conclusions about it. Deutsch's thought experiment is a variant of the Wigner's friend paradox, which can, in principle, verify the effect of the consciousness of observer on the reduction of the state vector. We make an analysis of it comprehensively within the extended framework. We then make a prediction which is testable in principle. In our extended framework, we can analyze still more complicated situations. As such an example, we introduce a combination of the above two, named the Wigner-Deutsch collaboration, and perform a thorough analysis of it.