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Proceedings Paper

Relativistic transformation of wavelength provides insights into the geometry of photons
Author(s): Michael J. Mobley
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Paper Abstract

The wavelength has been a common denominator to the various wave-like and particle-like models of the photon - this wavelength being inversely proportional to the momentum and energy ascribed to the photon. The Lorentz transformation has been utilized with both wave-like and particle-like descriptions to generate the relativistic Doppler Effect and the associated transformation of the wavelength. The relativistic transformation of those models is reexamined here, noting the common feature that wavelength transforms as a specific time-length projected along the trajectory of the photon. While in the wave-model this length can be associated with the periodicity of the wave, in the particle-model this length can be associated with a real, quantized geometric property of the photon. This associated length can tie the photon to the description of components of other quantum particles modeled variously by strings or membranes. Whatever description for the structure of light we ultimately converge upon should integrate this real, geometric property of wavelength. A novel membrane-like model for the photon is discussed that integrates this geometric time-length and suggests the correlation to mass-energy.

Paper Details

Date Published: 10 September 2009
PDF: 12 pages
Proc. SPIE 7421, The Nature of Light: What are Photons? III, 74210G (10 September 2009); doi: 10.1117/12.828526
Show Author Affiliations
Michael J. Mobley, Arizona State Univ. (United States)

Published in SPIE Proceedings Vol. 7421:
The Nature of Light: What are Photons? III
Chandrasekhar Roychoudhuri; Al F. Kracklauer; Andrei Yu. Khrennikov, Editor(s)

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