From rapidity to vibracy (logarithmic frequency)

Details From rapidity to vibracy (logarithmic frequency) From rapidity to vibracy (logarithmic frequency)

Feb 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001amjph..69..158w&link_type=abstract

American Journal of Physics, Volume 69, Issue 2, pp. 158-161 (2001).

Physics

Educational Aids, Special Relativity

Scientific paper

Logarithmic parameters have been been found useful for describing the translational and gravitational states of some systems. These parameters are additive, and may serve to push unwanted singularities off to infinity. The best known of these is rapidity, a speedlike parameter used in special relativity. Another is the so-called ``linear time'' of Misner and Lévy-Leblond, which applies to general relativistic cosmology. We point out that these two parameters are both logarithmic measures of frequency shift and represent a quantity we call ``vibracy.'' Majernik's trigonometric variant of rapidity is found to be an aberration angle.

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