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Derivation of the energy–momentum and Klein–Gordon equations from El Naschie’s complex time

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  • Sigalotti, Leonardo Di G.
  • Mejias, Antonio
  • Trujillo, Leonardo

Abstract

In a previous note, we have provided a formal derivation of the transverse Doppler shift of special relativity from the generalization of El Naschie’s complex time. Here, we show that the relativistic energy–momentum equation, and hence the Klein–Gordon equation, are also natural consequences of the complex time generalization.

Suggested Citation

  • Sigalotti, Leonardo Di G. & Mejias, Antonio & Trujillo, Leonardo, 2009. "Derivation of the energy–momentum and Klein–Gordon equations from El Naschie’s complex time," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3177-3178.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:3177-3178
    DOI: 10.1016/j.chaos.2009.04.046
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