Compatibility of JWST results with exotic halos

The James Webb Space Telescope (JWST) is unveiling astounding results on the composition and evolution of the cosmo at very high redshifts. In this talk, I develop a UV luminosity function model for high-redshift galaxies, considering parameters such as the stellar formation rate, dust extinction, and halo mass function, calibrated at z = 4-7. Testing the model against higher redshifts suggests a negligible role of dust extinction very early on, prompting a modification of the stellar formation rate to incorporate a larger fraction of luminous objects per massive halo. I discuss some exotic explanations of this effect. Based on https://arxiv.org/abs/2403.13068 Strong electromagnetic and gravitational field physics: From laboratories to early Universe / 48 Broken energy degeneracy in non-uniform magnetic field: Faster quantum speed limit Indian Institute of Science Indian Institute of Technology Jodhpur When charged fermions gyrate within a uniform magnetic field, their energy undergoes quantization into discrete levels known as Landau levels, a phenomenon termed Landau quantization. This effect finds diverse applications, ranging from the quantum Hall effect and the de Haas Van Alphen effect to the formation of super-Chandrasekhar white dwarfs. In a uniform magnetic field, Landau levels exhibit degeneracy due to the overlap of spin-up fermions in lower energy levels with spindown fermions in the adjacent higher energy levels. Our investigation focuses on the two-dimensional motion of relativistic cold electrons amidst spatially varying magnetic fields. We observe that the degeneracy of Landau levels, that arises in constant magnetic fields, lifts out in the presence of variable fields, with the energy levels of spin-up and spin-down electrons aligning in intriguing ways depending on the field’s nature of change. We propose an experimental setup for achieving non-uniform magnetic fields in laboratory settings. Utilizing the spatially growing magnetic field, we aim to attain a higher quantum speed limit,the faster transition speed between the quantum states, for electrons. This advancement holds significant promise for accelerating quantum information processing, particularly in the realm of quantum computing. Furthermore, we determine the critical magnetic field that bridges the gap between nonrelativistic and relativistic regimes, employing the Bremermann-Bekenstein bound to constrain the maximal rate of information production.