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A tachyon field having a negative squared-mass $-m_t^2$ can be described interms of massless fields degenerating infinitely with respect to the helicity.The degeneracy leads symmetry breakings of space-time. This picture for thetachyon does not contradict causality. The tachyon vector-field is quenchedfrom the interactions with matter fields, and the effects can be represented bya phase factor. The accelerated expansion of the universe and the dark energiesare interpreted in terms of the phase factor. An asymmetry between thedistribution of particles and that of anti-particles in the universe is alsoderived from the phase. Membranes can be described by the tachyon wave packet.

Massless fields infinitely degenerating with respect to the helicity and their effects in astrophysics