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Titlebook: Mathematics of Particle-Wave Mechanical Systems; James M. Hill Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

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发表于 2025-3-21 19:36:38 | 显示全部楼层 |阅读模式
书目名称Mathematics of Particle-Wave Mechanical Systems
编辑James M. Hill
视频video
概述Proposes a novel mathematical model to address the issues of dark energy and matter in modern physics.Develops a fully Lorentz invariant reformulation of Newton‘s second law of motion.Invites readers
图书封面Titlebook: Mathematics of Particle-Wave Mechanical Systems;  James M. Hill Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive
描述Despite successes of modern physics, the existence of dark energy and matter is indicative that conventional mechanical accounting is lacking. The most basic of all mechanical principles is Newton’s second law, and conventionally, energy is just energy whether particle or wave energy. In this monograph, Louis de Broglie’s idea of simultaneous existence of both particle and associated wave is developed, with a novel proposal to account for mass and energy through a combined particle-wave theory. Newton’s second law of motion is replaced by a fully Lorentz invariant reformulation inclusive of both particles and waves.  .The model springs from continuum mechanics and forms a natural extension of special relativistic mechanics. It involves the notion of “force in the direction of time” and every particle has both particle and wave energies, arising as characteristics of space and time respectively. Dark matter and energy then emerge as special or privileged states occurring for alignments of spatial forces with the force in the direction of time. Dark matter is essentially a backward wave and dark energy a forward wave, both propagating at the speed of light.  The model includes specia
出版日期Book 2022
关键词Particle-Wave Mechanics; Mathematics of Particle-Wave Mechanics; Newton‘s Second Law; Special Relativit
版次1
doihttps://doi.org/10.1007/978-3-031-19793-2
isbn_softcover978-3-031-19795-6
isbn_ebook978-3-031-19793-2
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 20:26:53 | 显示全部楼层
James Hill examples and discussions of efficiency, accuracy and computational costs. Supporting software for the examples and exercises is available (but the text does not require the reader to use or understand these particular codes). The author has been active in optimization for over thirty years in algor
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发表于 2025-3-22 06:51:32 | 显示全部楼层
James Hill examples and discussions of efficiency, accuracy and computational costs. Supporting software for the examples and exercises is available (but the text does not require the reader to use or understand these particular codes). The author has been active in optimization for over thirty years in algor
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发表于 2025-3-22 16:32:09 | 显示全部楼层
General Formulation and Basic Equations, of either a work done function or if the external forces are generated from an applied external potential, then in either case a conservation of energy statement applies. In either of these cases or if we assume the Einstein energy-mass variation with velocity, then Newton’s second law as the total
发表于 2025-3-22 19:59:14 | 显示全部楼层
Coordinate Transformations, Tensors and General Relativity,r objects. The next generation of GPS systems will require a detailed mapping of the earth’s gravitational field combined with the development of accurate predictive mathematical models. Accordingly for such applications, a superficial understanding may not be sufficient for future space scientists,
发表于 2025-3-23 00:16:21 | 显示全部楼层
Book 2022tively. Dark matter and energy then emerge as special or privileged states occurring for alignments of spatial forces with the force in the direction of time. Dark matter is essentially a backward wave and dark energy a forward wave, both propagating at the speed of light.  The model includes specia
发表于 2025-3-23 04:50:14 | 显示全部楼层
onal costs. Supporting software for the examples and exercises is available (but the text does not require the reader to use or understand these particular codes). The author has been active in optimization for over thirty years in algor978-1-4899-8119-6978-0-387-24149-4
发表于 2025-3-23 06:54:47 | 显示全部楼层
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