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III. Ecosmos: A Revolutionary Fertile, Habitable, Solar-Bioplanet, Incubator Lifescape

1. Quantum Organics in the 21st Century

Wiebe, Nathan. Using Quantum Computing to Learn Physics. arXiv:1401.4507. A Microsoft Research, Quantum Architectures and Computation Group, theorist contends that as this fundamental subatomic domain becomes more understood in terms of innate information conveyance and network phenomena, it can serve in an exemplary way for scientific instruction.

Since its inception at the beginning of the twentieth century, quantum mechanics has challenged our conceptions of how the universe ought to work; however, the equations of quantum mechanics can be too computationally difficult to solve using existing computers for even modestly large systems. Here I will show that quantum computers can sometimes be used to address such problems and that quantum computer science can assign formal complexities to learning facts about nature. Hence, computer science should not only be regarded as an applied science; it is also of central importance to the foundations of science. (Abstract)

A New Way to Approach Physics: A quantum computer is more than just a computational device: it also is a universal toolbox that can emulate any other experimental system permitted by quantum theory. Put simply, if a quantum computer were to be constructed that accepts input from external physical systems then experimental physics would become computer science. When seen in this light, computational complexity becomes vital to the foundations of physics because it gives insights into the limitations of our ability to model, and in turn understand, physical systems that are no less profound than those yielded by the laws of thermodynamics. (7)

Wolchover, Natalie. How Space and Time Could Be a Quantum Error-Correcting Code. Quanta Magazine. Online January 4, 2019. The physical science writer gathers papers, conjectures and findings by frontier theorists to report how the whole cosmos seems to be taking on a holographic essence as it arises from dynamic quantum networks. In so doing, a nascent view of a universal reality deeply distinguished by generative codings function appears in the air. Notable citations herein are Quantum Error Corrrection in AdS/CFT by Ahmed Almheiri, Xi Dong and Daniel Harlow (1411.7014), De Sitter Holography and Entanglement Entropy by Xi Dong, Eva Silverstein and Gonzalo Torroda (1804.08623), and Simulating Quantum Field Theory by John Preskill (1811.10085).

It’s important to note that AdS space is different from the space-time geometry of our “de Sitter” universe. Our universe is infused with positive vacuum energy that causes it to expand without bound, while anti-de Sitter space has negative vacuum energy, which gives it the hyperbolic geometry of one of M.C. Escher’s Circle Limit designs. Escher’s tessellated creatures become smaller and smaller moving outward from the circle’s center, eventually vanishing at the perimeter; similarly, the spatial dimension radiating away from the center of AdS space gradually shrinks and eventually disappears, establishing the universe’s outer boundary. AdS space gained popularity among quantum gravity theorists in 1997 after the renowned physicist Juan Maldacena discovered that the bendy space-time fabric in its interior is “holographically dual” to a quantum theory of particles living on the lower-dimensional, gravity-free boundary. (4)

In exploring how the duality works, as hundreds of physicists have in the past two decades, Almheiri and colleagues noticed that any point in the interior of AdS space could be constructed from slightly more than half of the boundary — just as in an optimal quantum error-correcting code. (5)

Anti-de Sitter Space In mathematics and physics, n-dimensional anti-de Sitter space (AdS) is a maximally symmetric Lorentzian manifold with constant negative scalar curvature. Anti-de Sitter space and de Sitter space are named after Willem de Sitter (1872–1934), professor of astronomy at Leiden University and director of the Leiden Observatory. Willem de Sitter and Albert Einstein worked together closely in Leiden in the 1920s on the spacetime structure of the universe. (Wikipedia)

Xaing, Ya-Xin, et al.. Xiang, Ya-Xin, et al. Self-Organized Time Crystal in Driven-Dissipative Quantum System. arXiv:2311.08899.. As another instance of novel abilities to delve into such quantum domains, Nanjing University and East China Normal University physicists find and finesse an ever wider array of nature’s capacity for limitless forms.

Continuous time crystals (CTCs) are characterized by sustained oscillations that break the time translation symmetry., The emergence of such dynamical phases has been observed in various driven-dissipative quantum platforms. Here, we propose a new kind of CTC realized in a quantum contact model through self-organized bistability. The exotic CTCs stem from the interplay between collective dissipation induced by the first-order phase transitions (APTs). Our results serve as a solid route towards self-protected CTCs in strongly interacting open systems. (Excerpt)

Xu, Xiao-Yun, et al.. Quantum transport in fractal networks.. Nature Photonics.. July, 2021. We note this entry by Center for Integrated Quantum Information Technologies, Shanghai Jiao Tong University physicists as a way to record an assimilation of quantum phenomena with fractal geometry as this fundamental realm becomes another classical epitome of a complex natural system.

Fractals have aesthetic appeal and also allow physical properties in non-integer dimensions. Here we investigate quantum transport in fractal networks by continuous-time quantum walks in photonic lattices. In addition, we find a critical transition from normal to anomalous movement which depends on the self-similar geometry. Our experiment allows the verification of physical laws in a quantitative manner and opens a path to understand more complex quantum phenomena governed by fractality. (Excerpt)

Yang, Jianhao. A Relational Formulation of Quantum Mechanics. Nature Scientific Reports. 8/13305, 2018. We have shown that quantum mechanics can be constructed by shifting the starting point from the independent properties of a quantum system to the relational properties among quantum systems. (14) We cite this highly mathematical contribution by a Qualcomm, San Diego physicist as a good exposition of the same archetypal complements of (me) elemental aspects and (We) interconnective dynamics, which are similarly being found to distinguish each and every other manifest natural and social/cultural realm.

Non-relativistic quantum mechanics is reformulated here based on the idea that relational properties among quantum systems, instead of the independent properties of a quantum system, are the most fundamental elements to construct quantum mechanics. This idea, combining with the emphasis that measurement of a quantum system is a bidirectional interaction process, leads to a new framework to calculate the probability of an outcome when measuring a quantum system. In this framework, the most basic variable is the relational probability amplitude. The properties of quantum systems, such as superposition and entanglement, are manifested through the rules of counting the alternatives. Schrödinger Equation is obtained when there is no entanglement in the relational probability amplitude matrix. (Abstract excerpts)

Zhang, Zeodong and Jin Wang. Landscape, Kinetics, Paths and Statistics of Curl Flux, Coherence, Entanglement and Energy Transfer in Non-Equilibrium Quantum Systems. New Journal of Physics. 17/043053, 2015. SUNY Stony Brook chemists delve into material depths to report the presence of similar dynamic and geometric phenomena as elsewhere throughout nature and society. See also papers Landscape and Flux Theory of Non-equilibrium Dynamical Systems with Application to Biology in Advances in Physics (64/1, 2015) and The Universal Statistical Distributions of the Affinity, Equilibrium Constants, Kinetics and Specificity in Biomolecular Recognition in PLoS Computational Biology by Wang and colleagues.

We develop a population and flux landscape theory for general non-equilibrium quantum systems. We illustrate our theory by modelling the quantum transport of donor-acceptor energy transfer. We find two driving forces for the non-equilibrium quantum dynamics. The symmetric part of the driving force corresponds to the population landscape contribution which mainly governs the equilibrium part of dynamics while the anti-symmetric part of the driving force generates the non-equilibrium curl quantum flux which leads to the detailed-balance-breaking and time-irreversibility. Finally it is surprising that the non-equilibriumness quantified by voltage has a non-trivial contribution on strengthening the entanglement, which is attributed to the non-local feature of the quantum curl flux. (Abstract excerpts)

The non-equilibrium system is everywhere around us, ranging from plants, animals to our Earth, Sun and galaxies. The non-equilibrium quantum processes are important in physics, chemistry, biology, even sociology and economics . On the large and small scales, there are abundant examples for non-equilibriumness in action: baryon genesis in early universe, transport and phase transition of quark-gluon-plasma, the black hole evaporation, transport in stars etc. (1)

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