Original image by NASA, ESA, H. Teplitz and M. Rafelski (IPAC/Caltech), A. Koekemoer (STScI), R. Windhorst (Arizona State University), and Z. Levay (STScI); cropped by L. Marmet.

## Cosmology CalculatorDirect measurements of the Hubble constant disagree with predictions from ΛCDM based on measurements of the cosmic microwave background radiation. The tension is forcing cosmologists to question every aspect of the ΛCDM model. This webpage provides two Cosmology Calculators: one for the ΛCDM model, the other for Non-Expanding space in which a Tired-Light mechanism produces the cosmological redshift. Enter values and the results will appear immediately. |
|||

## ΛCDM Cosmology Based on the calculator written by Ned
Wright (2006, PASP, 118, 1711): The size evolution of star-forming galaxies follows the power law: _{e} = r_{0} (1 + z)^{nS} kpc.
The Tolman test for expansion predicts a surface brightness <SB> that decreases as (1 + z) ^{4-nL} mag,
where n _{evol} = 2.5 log (1 +z)^{nL} mag.
These two functions are included below so that the calculated distances correspond to raw observational data. km/s/Mpc Open: uses Ω _{Λ} = 0 giving an open Universe [if you
entered Ω_{M} < 1].Flat: uses Ω _{Λ} = 1 - Ω_{M}
giving a flat Universe.General: uses the Ω _{Λ} that you entered.used for sample selection introduces a bias, c.f. 'Fundamental Plane' for elliptical galaxies. ## ΛCDM Cosmology*** JavaScript not enabled or script file missing *** Source for default parameters H _{0}, Ω_{M} and Ω_{Λ}Source for default parameter n _{S}Source for default parameter n _{L} |
## NETL Cosmology An equivalent to the Mattig formula is obtained in a Non-Expanding Universe Cosmology from the differential equation -d(hν) = H(hν) dt expressing the energy loss as a function of time for a Tired-Light redshift. _{A} = (c/H_{0}) ln (1 + z).
Since the universe is flat and not expanding in the model, the radial distance is equal to the angular distance D _{L} = (1 + z)^{1/2} D_{A}.
In the case of a transient signal such as SNe light-curves, the redshift mechanism causes a time dispersion due to a succession of two quantum steps. In that case an additional term (1 + z) _{L} ≃ (1 + z) D_{A}.
An object at temperature T is seen as a blackbody with excess brightness _{0}(λ_{0}) = (1 + z)^{3} 8πhc / [λ_{0}^{5} (e^{hc/(λ0kTW)} - 1)]
but the Wien temperature T /Gpc Flat Universe ## NETL Cosmology*** JavaScript not enabled or script file missing *** Source for default parameter H _{z} ≡ H_{0}/call parameters to default values. the value of H _{0} that gives raw d_{A}(ΛCDM) = d_{A}(NETL). |
||

## DiscussionIt is difficult to compare the two models to a high accuracy. Astrophysical data are currently analyzed with the assumptions of ΛCDM cosmology and corrected for various effects in powers of 1 + z (e.g. luminous flux, time dilation, galactic evolution, Hubble residuals, deceleration parameter, etc.) Both calculators give observed quantities which, for ΛCDM, are corrected to include the large effects of galactic evolution. However other effects are difficult to disentangle from an analysis based on the ΛCDM model. Interpreting observations with the ΛCDM model, it is easy to understand why, " Updated 2021-7-15 © 2020--2021 Louis Marmet |