holographic principle and the surface of last scatter

More documents

Recommendations

Info

For the observed accelerated expansion, the most popular approach is to add to the sources, in Eq.(1), a dark energy term ρ DE (t) with ρ DE (t) = ρ DE (t 0 )a(t) −3(1+ω) (3) where ω = p/ρ is the equation of state. For the case ω = −1, as for a cosmological constant, Λ, and discarding the matter and radiation terms which are smaller I can easily integrate the Friedmann-Lemaître equation to find a(t) = a(t 0 ) e Ht (4) where √ 3H = √ Λ = √ 8πGρ DE . 8
By differentiation with respect to time p times, we obtain for the p th derivative d p dt pa(t)| t=0 = ( √ Λ/3) p (5) Therefore, if Λ > 0 is positive, as in a De Sitter geometry, not only is the acceleration (p = 2) positive and non-zero, but so are the jerk (p = 3), the snap (p = 4), the crackle (p = 5), the pop (p = 6) and all p ≥ 7. The insertion of the dark energy term works very well as a part of the ΛCDM model. However, it is an ad hoc procedure which gives no insight into what dark energy is. 9
Page 1 and 2: Thank you for the invitation. HOLOG
Page 3 and 4: References PHF Solution to the Dark
Page 5 and 6: The most important observational ad
Page 7: Two established contributions to ρ
Page 11 and 12: The essential assumption is the afo
Page 13 and 14: At this horizon, there is PBH tempe
Page 15 and 16: The entropy of the universe has rec
Page 17 and 18: My result calls into question almos
Page 19 and 20: Anotherramification,ofmysolutionoft
Page 21 and 22: Once we accept that gravity is emer
Page 23 and 24: The holographic principle is suppor
Page 25 and 26: Observable Universe The motion is t
Page 27 and 28: The critical density, ρ c , is pro
Page 29 and 30: The holographic pronciple requires
Page 31 and 32: To my knowledge, the visible univer

holographic principle and the surface of last scatter

Create successful ePaper yourself

Delete template?

Save as template?