Figure 1. Schematic picture of spatial perspective distortion, showing that in the special case of extreme far-view perspective, evenly spaced sleepers on a railway track form a geometric progression on the picture, with the distances between the sleepers being proportional to their respective distances to the vanishing point on the horizon. Thus the track in that case appears exponentially expanding from the vanishing point towards the observer. As discussed in the text, the exponential cosmological expansion of the universe can be regarded as a similar perspective expansion, but in the time dimension instead

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Dark Energy, Exponential Expansion, CMB, Wave/Particle Duality All Result from Lorentz-Covariance of Boltzmann’s Transport Equation

Arne Bergstrom

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