Implications of the conjugate complex time on the origin of the relativistic transverse Doppler effect

Sigalotti, Leonardo Di G.; Mejias, Antonio

doi:10.1016/j.chaos.2004.05.017

Cited by 5 publications

(1 citation statement)

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“…This formula was derived on formal mathematical basis by de Felice et al [24], We recall that any point in the complex (t, vi/c)-plane can be identified with a two-dimensional vector t = f + (v/c)t = t' + t", which is reminiscent of the two-dimensional time-decomposition formula obtained by Czajko [25]. A further proof of its correctness was given by Sigalotti & Mejias [26], who derived from it the expression of the relativistic transverse Doppler effect, starting only from the assumption that the speed of light is finite and frame invariant. (1) from which it follows after direct algebra the well-known Lorentz time dilation formula.…”

Section: The Conjugate Complex Timementioning

confidence: 83%

On El Naschie's Conjugate Complex.Time, Fractal E(∞) Space-Time and Faster-Than-Light Particles

Sigalotti¹,

Mejias²

2006

International Journal of Nonlinear Sciences and Numerical Simulation

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In the last decade, El Naschie published a series of seminal papers where he introduced the idea of conjugate complex time and developed his famous fractal is* 00 ' space-time theory, which reconciles general relativity with quantum mechanics by formulating both theories in the context of a transfinite geometry. In this paper, we put together ingredients of El Naschie's theory that reopen in a theoretically consistent manner the possibility of faster-than-light particles and clarify the question of the instantaneous correlations envisaged in numerous EPR-like experiments.

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Section: The Conjugate Complex Timementioning

confidence: 83%