dorsal/arxiv
View SchemaConcept of Quaternion Mass for Wave-Particle Duality : A Novel Approach
| Authors | R. C. Gupta |
|---|---|
| Categories | |
| ArXiv ID | physics/0305024 |
| URL | https://arxiv.org/abs/physics/0305024 |
Abstract
Mass is in the central theme everywhere from atom to galaxy. But what is mass ? Is it scalar or vector ? Apparently it appears that mass is scalar; but relativistic mass is velocity dependent and moving mass such as photon is vector boson. In the present paper a new concept is introduced that in general, mass is neither scalar nor vector rather, mass is a quaternion quantity (scalar + vector). The concept of quaternion mass suggests that the total mass M of a moving body is quaternion sum of : (i) the scalar(grain or rest mass) mass mg establishing its particle behavior and (ii) the vector(photonic) mass mp governing its wave properties. Mathematically, total quaternion mass as M = mg + mp, its magnitude being the Pythagorean sum as |M| = (mg2+mp2)1/2 . The theory proposed here explains the wave-particle duality more clearly & conceptually and gives a mathematical blend to de-Broglie hypothesis. It also explains successfully several effects such as Compton effect and refraction of light which could not be explained otherwise by a single theory of wave or particle. Also explained are: Doppler effect of light, Photo-electric effect, Uncertainty principle and Relativity. The quaternion mass concept proposed in this paper is novel & is of fundamental importance; this could prove to be a revolutionary concept in physics and possibly lead to new directions.
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"abstract": "Mass is in the central theme everywhere from atom to galaxy. But what is mass\n? Is it scalar or vector ? Apparently it appears that mass is scalar; but\nrelativistic mass is velocity dependent and moving mass such as photon is\nvector boson. In the present paper a new concept is introduced that in general,\nmass is neither scalar nor vector rather, mass is a quaternion quantity (scalar\n+ vector). The concept of quaternion mass suggests that the total mass M of a\nmoving body is quaternion sum of : (i) the scalar(grain or rest mass) mass mg\nestablishing its particle behavior and (ii) the vector(photonic) mass mp\ngoverning its wave properties. Mathematically, total quaternion mass as M = mg\n+ mp, its magnitude being the Pythagorean sum as |M| = (mg2+mp2)1/2 . The\ntheory proposed here explains the wave-particle duality more clearly \u0026\nconceptually and gives a mathematical blend to de-Broglie hypothesis. It also\nexplains successfully several effects such as Compton effect and refraction of\nlight which could not be explained otherwise by a single theory of wave or\nparticle. Also explained are: Doppler effect of light, Photo-electric effect,\nUncertainty principle and Relativity. The quaternion mass concept proposed in\nthis paper is novel \u0026 is of fundamental importance; this could prove to be a\nrevolutionary concept in physics and possibly lead to new directions.",
"arxiv_id": "physics/0305024",
"authors": [
"R. C. Gupta"
],
"categories": [
"physics.gen-ph"
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"title": "Concept of Quaternion Mass for Wave-Particle Duality : A Novel Approach",
"url": "https://arxiv.org/abs/physics/0305024"
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