L'energie sombre: Un mirage cosmique? Luminosity distance ≠ proper distance: A cosmological dissimilitude induced by nonlinear electrodynamics

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Gamma-Ray Sources (Astronomical), Supernovae, Cosmology, Electrodynamics, Intergalactic Magnetic Fields, Gamma-Ray Sources, Gamma-Ray Bursts, Supernovae, Origin And Formation Of The Universe, Specific Calculations, Interplanetary Magnetic Fields

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The current understanding of our universe is built upon the information that we extract from light coming from cosmological sources like far-away galaxies, quasars, supernovae, gamma-ray bursts, etc, including the emission in radio wavelengths of those sources. The particular analysis of supernovae type Ia (SNIa) observations has led to the idea that the universe is undergoing a late-time accelerate phase which started when it was at redshift z~1. The redshift z is a cosmological parameter inferred from observations of emission (or absorption) lines from the expanding SNIa debris or from the supernova host galaxy, presuming the light properties and interactions, as described by Maxwell's theory, do not change while it travels through the intervening intergalactic magnetic fields. In this paper we demonstrate that the nonlinear electrodynamics (NLED) description of photon propagation through the weak background intergalactic magnetic fields introduces a fundamental modification of the cosmological redshift, as compared to the one that a direct computation within a specific cosmological model ascribes to a distant source. It is shown that independently of the class of NLED Lagrangian, the effective redshift turns out to be (1+z)|eff = (1+z)Δ, where Δ ≡ (1+Φe)/(1+φo), with φ ≡ 8/3(LFF/LF)B2 being LF = dL/dF, LFF = d2L/dF2, the field F ≡ FαβFαβ, and B the magnetic field strength. It comes out that for field strengths as those estimated over the intergalactic space the effective redshift is always much lower than the standard redshift, and it recovers such limit when the NLED correction Δ(φe,φo)-->1. Since we do not actually ever observe proper distances, then one can argue that for a particular redshift the observed luminosity distance of the light-emitting far-away source is different. The implications of this result for cosmography studies using SNIa (and gamma-ray bursts) are discussed.

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