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Mathematics of Particle-Wave Mechanical Systems

Af: James M. Hill Engelsk Hardback

Mathematics of Particle-Wave Mechanical Systems

Af: James M. Hill Engelsk Hardback
Tjek vores konkurrenters priser
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 special relativistic mechanics and Schrödinger''s quantum mechanics, and the major achievements of mechanics and quantum physics.  

Our ideas of particles and waves are not yet properly formulated, and are bound up with the speed of light as an extreme limit and particle-wave demarcation. Sub-luminal particles have an associated superluminal wave, so if sub-luminal waves have an associated superluminal particle, then there emerges the prospect for faster than light travel with all the implications for future humanity. Carefully structured over special relativity and quantum mechanics, Mathematics of Particle-Wave Mechanical Systems is not a completed story, but perhaps the first mechanical model within which such exalted notions might be realistically and soberly examined. If ultimately the distant universe become accessible, this will necessitate thinking differently about particles, waves and the role imposed by the speed of light. The text constitutes a single proposal in that direction and a depository for mathematically related results.  It will appeal to researchers and students of mathematical physics, applied mathematics and engineering mechanics. 
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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 special relativistic mechanics and Schrödinger''s quantum mechanics, and the major achievements of mechanics and quantum physics.  

Our ideas of particles and waves are not yet properly formulated, and are bound up with the speed of light as an extreme limit and particle-wave demarcation. Sub-luminal particles have an associated superluminal wave, so if sub-luminal waves have an associated superluminal particle, then there emerges the prospect for faster than light travel with all the implications for future humanity. Carefully structured over special relativity and quantum mechanics, Mathematics of Particle-Wave Mechanical Systems is not a completed story, but perhaps the first mechanical model within which such exalted notions might be realistically and soberly examined. If ultimately the distant universe become accessible, this will necessitate thinking differently about particles, waves and the role imposed by the speed of light. The text constitutes a single proposal in that direction and a depository for mathematically related results.  It will appeal to researchers and students of mathematical physics, applied mathematics and engineering mechanics. 
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 378
ISBN-13: 9783031197925
Indbinding: Hardback
Udgave:
ISBN-10: 3031197925
Kategori: Matematisk fysik
Udg. Dato: 1 dec 2022
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 1 dec 2022
Forfatter(e): James M. Hill
Forfatter(e) James M. Hill

Kategori Matematisk fysik

ISBN-13 9783031197925

Sprog Engelsk

Indbinding Hardback

Sider 378

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 1 dec 2022

Oplagsdato 1 dec 2022

Forlag Springer International Publishing AG

Kategori sammenhænge