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Topic review
Updated time: 29 Apr 2021
Submitted by: Gabino Torres-Vega
Definition: We introduce finite-differences derivatives intended to be exact when applied to the real exponential function. We want to recover the known results of continuous calculus with our finite differences derivatives but in a discrete form. The purpose of this work is to have a discrete momentum operator suitable for use as an operator in discrete quantum mechanics theory.
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Biography
Updated time: 01 Nov 2020
Submitted by: Lester Ingber
Abstract: Prof. Lester Ingber has published over 100 papers and books in theoretical physics, neuroscience, finance, optimization, combat analysis, karate, and education. As CEO of Physical Studies Institute LLC (PSI) in Ashland OR he develops and consults on projects documented in the https://www.ingber.com/ archive. Prof. Ingber received: his diploma from Brooklyn Technical High School in 1958; his B.S. in physics from Caltech in 1962; his Ph.D. in theoretical nuclear physics from UC San Diego in 1967 while studying at the Niels Bohr Institute in Copenhagen and consulting at RAND in Santa Monica CA. Prof. Ingber has held positions in academia, government and industry: National Science Foundation Postdoctoral Fellow at UC Berkeley and UC Los Angeles; Assistant Professor in physics at SUNY at Stony Brook; Research Physicist in the Physics department and in the Institute for Pure and Applied Physical Sciences at UC San Diego; Research Associate at UC San Diego in the Music department; twice Senior Research Associate of the National Research Council of the National Academy of Sciences; Professor of Physics at the Naval Postgraduate School in Monterey CA and the US Army Concepts Analysis Agency in Bethesda MD; Research Professor of Mathematics at The George Washington University in DC; Director of Research and Development at trading firm DRW Trading in Chicago IL and hedge fund DUNN Capital Management in Stuart FL; Editor-in-Chief at Research Publisher for: Current Progress Journal (timely topics in science), Graduate Journal of Research, and Undergraduate Journal of Research, and associated e-conferences for these three journals; Partner in Pion Capital, a hedge-fund partnership of Caltech alumni; PI of a NSF.gov XSEDE.org physics project.
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Videos
Updated time: 20 Apr 2021
Topic review
Updated time: 29 Oct 2020
Submitted by: Viktor Gerasimenko
Definition: A quantum-classical system is a system consisting of two interacting subsystems, one of which behaves classically, and the other requires a quantum description.
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Topic review
Updated time: 30 Oct 2020
Submitted by: Ralf Hofmann
Definition: An outline of the main, purely theoretical ideas involved in Quantum Yang-Mills thermodynamics is given and implications thereof for applications in cosmology, particle, plasma, and condensed-matter physics are sketched. On the theoretical side, we elucidate the concepts of the thermal ground states of the deconfining and preconfining phases together with their gauge-mode excitations , and we discuss the quantum vacuum of the confining phase including its finite-extent excitations. On the application side, we briefly mention how deconfining SU(2) Yang-Mills thermodynamics, when postulated to describe thermal photon gases, predicts a modified temperature (T) -redshift (z) relation for the Cosmic Microwave Background (CMB) which, in turn, implies a rearrangement of the dark sector well before the onset of nonlinear structure formation. All-z fits of the ensuing cosmological model to the observed angular power spectra (CMB) yield a value for the present Hubble parameter H0 agreeing with that extracted from local distance measurements, a baryon density of the present Universe being about 30% smaller than the standard value obtained from Big-Bang-Nucleosynthesis (BBN) but matching direct censuses, and a late onset of reionisation of the Universe agreeing with the observation of the Gunn-Peterson trough in high-z quasar spectra. We also mention how the three lepton families of the Standard Model of Particle Physics (SMPP) could emerge as solitons immersed into the confining phases of three SU(2) Yang-Mills theories, subject to mixing of their Cartan subalgebras. In particular, the electron and its neutrino would be represented by 1-fold selfintersecting and single, stable center-vortex loops with a wealth of implications for strongly correlated charge carriers in the two spatial dimensions of certain condensed-matter systems as well as ultra hot plasmas.
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Topic review
Updated time: 30 Oct 2020
Definition: How parameters such as interaction, iteration, frequency of iteration and time can express in a simple manner a nonlinear dynamics? Considering a system with stationary PDF and ergodic properties, the mathematical framework reveals a constant oscillation of information flow in the system. Those parameters mentioned before can start chaotic process in the previous system generating infinite random sequences as Per Martin-Löf suggested in his work "Complexity oscillations in infinite binary sequences". In this way the non ergodic properties of system express observable oscillations in which time lengths regulations can be used as a tool for PDF constraint and phase space formations.
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