Bulletin of the American Physical Society
APS April Meeting 2019
Volume 64, Number 3
Saturday–Tuesday, April 13–16, 2019; Denver, Colorado
Session Z15: Alternative Approaches to Gravitation and Cosmology
3:30 PM–5:18 PM,
Tuesday, April 16, 2019
Sheraton Room: Plaza Court 4
Sponsoring Units: DAP DGRAV
Chair: J.E. Kim, Seoul National University
Abstract: Z15.00001 : From Hubble's law 2 Our static Universe
3:30 PM–3:42 PM
C. Greg Hood
C. Greg Hood
Hubble’s law states that recession speed, vR, is equal to H0D, where H0 is Hubble’s constant, 2.37E-18 s-1, and D is the distance to the inter-galactic photon source.
When the relativistic Doppler equation is solved for (vR /c), it is well-known that (vR /c) → 1 as the received wavelength → ∞. The standard conclusion is that distant galaxies approach light speed. This is a pre-Hubble conclusion. However, using Hubble’s law, one gets instead, (H0D /c) → 1. Therefore, in the limit, D = (c/H0) ≡ R0 = 13.4 billion light-years. R0 is the constant radial limit of our observable universe: photons emitted from beyond this distance can never reach us. The size of the universe is unknown: an observer 10 billion light years from us would be bound by this same limit.
The energy loss of inter-galactic photons is due to the universal deceleration, - cH0, not to space expnasion. It has a magnitude of 0.711nm/s2 and is denoted D-Alpha. It is related to the constant acceleration used in MOND, and is comparable to the deceleration of the Pioneer spacecraft, 0.874nm/s2. Direct detection of D-Alpha may be possible by a variation of the LIGO experiment. When D-Alpha is used in a Newtonian approach to orbital motion in the solar system, non-Keplerian orbits are the necessary result.
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