Figures index

From

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

Arne Bergstrom

International Journal of Physics. 2014, 2(4), 112-117 doi:10.12691/ijp-2-4-4
  • 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
  • Figure 2. Simulated received radiation S(ω) from different directions in a small region of the sky assuming an exponentially expanding universe, and with closer sources assumed to be completely opaque to the radiation from more distant ones in the same direction. The sampled spectrum (black) is virtually indistinguishable from the Planck spectrum (red) also shown
  • Figure 3. Sampled (108 histories) energy spectra S(ω) as in Figure 2 for (A) a Gaussian distribution (stars transparent), (B) a Planck distribution (stars opaque, exponentially accelerated expansion), and (C) a Planck-type distribution with distorted tail (stars opaque, but no accelerated expansion)