AUTHOR: Ben-Amots, N.

SOURCE: J. Phys.: Conf. Ser., v. 330, 012018 (2011)

ABSTRACT: The Hubble law, for which the radial expansion velocity is linear in the distance r, implies a visible Universe limited to a horizon at

Here we suggest a modified Hubble law for the

INTRODUCTION: The linear Hubble law (in some references referred to as the Hubble-Humason law) implies a horizon. See, for example, Rindler [1] and others [2-6]. Ellis and Rothman [5] named their paper on the subject of cosmological horizons: "

Here we present a modified Hubble's law so that no horizon exists or is necessary.

Our formulas indicate that Perlmutter's interpretation of data of luminosity versus redshift of type Ia supernovas as demanding an accelerating expanding Universe is not correct. Analyzing the data with the modified Hubble law, shows that no cosmic acceleration is present, so that invoking Dark Energy is superfluous.

SUMMARY: The linear Hubble law leads to a visible Universe limited in radius.

Here we suggested a modified Hubble law that does not limit the visible radius of the Universe, thus enabling a Universe without an horizon. The linear Hubble law may be viewed as an approximation of the modified Hubble law for small expansion velocity of relatively close galaxies.

We showed that the modified Hubble law, like the linear Hubble law, solves Olbers's paradox.

This paper shows that if the origin of Hubble's redshift of galaxies is the Doppler effect, (caused by the receding velocity of the galaxies), there exists a modified Hubble law that fits the present observations for small

without needing dark energy.

The originally suggested Hubble law (1)

is arbitrary, while the modified Hubble law (8) suggested above obeys the correct relativistic addition formula (3):

Thus we derived a new formula for the Hubble law, which contains the existing as a special case for small expansion velocity of relatively close galaxies.

So, using our formula (8)

a) No horizon is needed,

b) Olbers's paradox is explained by both Hubble formulas.

c) We find that Perlmutter et al.'s and others' interpretation of accelerating expanding universe may be incorrect. We suggest that analyzing the phenomenon with the modified Hubble law, will find that no cosmic acceleration is present, so that also Dark Energy may be superfluous.

30 references

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COMMENT: Lectured in IARD2012 Conference.

CITED BY:

Kadin, A.M., "Variable mass cosmology simulating cosmic acceleration,"

viXra (2012)

http://www.vixra.org/pdf/1206.0084v1.pdf

Shimojo, Mastaka

"Problems in size expansion analysis based on hypothetical relationships between scale factor, exponential function and Bondi K-Factor,"

J. Fac. Agr. Kyushu Univ., v. 60(2), pp. 390-403 (2015)

AUTHOR'S COMMENTS (not included in the paper):