Are James Webb Space Telescope Observations Consistent with Warm Dark Matter?

We compare observed with predicted distributions of galaxy stellar masses M* and galaxy rest-frame ultra-violet luminosities per unit bandwidth LUV, in the redshift range z=2 to 13. The comparison is presented as a function of the comoving warm dark matter free-streaming cut-off wavenumber kfs. For this comparison the theory is a minimal extension of the Press-Schechter formalism with only two parameters: the star formation efficiency, and a proportionality factor between the star formation rate per galaxy and LUV. These two parameters are fixed to their values obtained prior to the James Webb Space Telescope (JWST) data. The purpose of this comparison is to identify if, and where, detailed astrophysical evolution is needed to account for the new JWST observations.

Characterization of Day–James Spaces and Generalized Day–James Spaces

In this paper, we introduce the definition of generalized Day-James space on Rn （n 〉 2） and give a characterization of it, which extend some known results. In addition, we provide a sufficient and necessary condition for Day-James space, which reappeared Day＇s construction for any two-dimensional normed space to make Birkhoff orthogonality symmetry.

JWST Discoveries—Confirmation of World-Universe Model Predictions

In 1937, P. Dirac proposed the Large Number Hypothesis and Hypothesis of Variable Gravitational Constant [1], and later added notion of Continuous Creation of Matter in the World [2]. Developed Hypersphere World-Universe Model (WUM) follows these ideas, albeit introducing different mechanism of Matter creation. Most direct observational evidence of validity of WUM are: 1) Microwave Background Radiation and Intergalactic Plasma speak in favor of existence of Medium;2) Laniakea Supercluster with binding mass ~1017M⊙ is home to Milky Way (MW) galaxy and ~105 other nearby galaxies, which did not start their movement from Initial Singularity (see Figure 1);3) MW is gravitationally bounded with Virgo Supercluster (VSC) and has Orbital Angular Momentum calculated based on distance of 65 Mly from VSC and orbital speed of ~400 km·s-1, which far exceeds rotational angular momentum of MW;4) Mass-to-light ratio of VSC is ~300 times larger than that of Solar ratio. Similar ratios are obtained for other superclusters (see Figure 2). These ratios are main arguments in favor of the presence of tremendous amounts of Dark Matter (DM) in the World. JWST discoveries confirm the most important predictions of WUM in 2018: 1) Absolute Age of World is 14.22 Gyr;2) Dark Epoch (spanning for Laniakea Supercluster (LSC) from the Beginning of World for 0.45 Gyr) when only DM Macroobjects (MOs) form and evolve;3) Luminous Epoch (ever since, 13.77 Gyr for LSC) when Luminous MOs (superclusters, galaxies, extrasolar systems, etc.) emerge;4) Transition from Dark Epoch to Luminous Epoch is due to Explosive Rotational Fission of Overspinning (surface speed at equator exceeding escape velocity) DM Supercluster’s Cores and self-annihilation of DM Particles (DMPs);5) MOs of World form from top (Superclusters) down to Galaxies and Extrasolar systems in parallel around different Cores made up of different DMPs;6) 3D Finite Boundless World presents a Patchwork Quilt of different Luminous Superclusters, which emerged in different places of World at different Cosmological times.

Black holes as the source of dark energy:A stringent test with high-redshift JWST AGNs

Studies have proposed that there is evidence for cosmological coupling of black holes(BHs)with an index of k≈3;hence,BHs serve as the astrophysical source of dark energy.However,the data sample is limited for the redshifts of≤2.5.In recent years,the James Webb Space Telescope(JWST)has detected many high-redshift active galactic nuclei(AGNs)and quasars.Among the JWST NIRSpec-/NIRCam-resolved AGNs,three are determined to be in early-type host galaxies with a redshift of z~4.5-7.However,their M_(*)and MBH are in tension with the predicted cosmological coupling of black holes with k=3 at a confidence level of~2σ,which challenges the hypothesis that BHs serve as the origin of dark energy.Future work on high-redshift AGNs using the JWST will further assess such a hypothesis by identifying more early-type host galaxies in the higher mass range.