Godel, Escherian Staircase and Possibility of Quantum Wormhole With Liquid Crystalline Phase of Iced-Water - Part I: Theoretical Underpinning

Abstract

As a senior physicist colleague and our friend, Robert N. Boyd, wrote in a journal (JCFA, Vol. 1,. 2, 2022), Our  universe is but one page in a large book [4]. For example, things and Beings can travel between Universes,  intentionally or unintentionally. In this short remark, we revisit and offer short remark to Neil’s ideas and trying to  connect them with geometrization of musical chords as presented by D. Tymoczko and others, then to Escher  staircase and then to Jacob’s ladder which seems to point to possibility to interpret Jacob’s vision as described in the  ancient book of Genesis as inter dimensional or heavenly staircase, e.g. an inter dimensional bridge between heaven  and earth (see also classic book: Hofstadter, Godel, Escher, Bach). Jacob’s vision of angels going down to earth from  that staircase has been depicted for instance in William Blake art etc. In our communication with others via physics  literature and discussions etc, we came to several conclusions as follows: Firstly, possibility of quantum wormhole  effect to mirror particle universe, which sometimes it is termed non-orientable wormhole. While such mirror particles  effect have been more than 50 years predicted with the so-called parity violation (cf. Lee & Yang, 1950s), and that is  called symmetry breaking. Secondly, a series of extended experiments on laser irradiated cold water may suggest  possible transition from a 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. Therefore, in subsequent article (Part II) we outlined simple model of such an effect of tunneling via  quantum liquid crystalline Universe, which may likely be modeled with iced-water. It is interesting to remark here  that certain experiments by Stockholm University scientists have shown that X-ray triggered water can exhibit  properties just like liquid crystal (cf. PRL, 2020). That is why we consider it possible that there can be quantum phase  transition where liquid water (comprised of iced cubes and water) can exhibit effects such as tunneling in quantum  liquid crystalline Universe. Last but not least, we admit that what we outlined here is just an initial phase; and if you  wish, perhaps we can call such experiments as “wormhole-at-lab” experiments (abbreviated: WHALE).