The relativity of energy and frequencies

M. Carmeli

Research output: Contribution to journalArticlepeer-review


A relativity theory in the space of energy and frequenciesis developed and a Lorentz-like transformation between these variables, in which Planck's constant h takes the role of the traditional 1/c (where c is the speed of light), is derived. We use the constancy of the intrinsic angular momentum of the photon, as expressed by the invariance of the line element E 2 -h 2 f 2, instead of the constancy of the speed of light as manifested by the invariance of the line element c 2 t 2-x 2. The transformation is then expressed in terms of the red-shift parameter z and applied to the particular cases in which the frequency is varied due to the velocity, to gravitational energy, and to motion in a central Coulomb field.

Original languageEnglish
Pages (from-to)545-550
Number of pages6
JournalLettere Al Nuovo Cimento
Issue number17
StatePublished - 1 Dec 1984


  • 03.65
  • Quantum theory
  • quantum mechanics

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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