Variable Modified Newtonian Mechanics VII: High redshift Supermassive Black Hole growth under an alternative Hubble Parameter

Observations of Supermassive Black Hole (SMBH) at very high redshift hosted by massive galaxy provide a challenge to the SMBH and massive galaxy formation models which are predicated on the Lambda CDM model that from Cosmic Microwave Background (CMB) data predicts a Hubble constant currently in tension with late time observations. In a gravitational system with two asymptotic solutions such as a central mass in an expanding cosmological background or an expanding background with radiation and baryons, we find that a particle's free falling speed resulting from adding the free falling speeds due to the asymptotic solutions is also a theoretically viable solution [1]-[2]. We use this new model to examine the SMBH formation time-line and find that the time lapse between redshifts increases and provides sufficient cosmological time for the formation of SMBHs at high redshifts. We also find that the Hubble parameter in this model is consistent with Cosmic Chronometers (CC) and DESI DR2 data upto z~2.33, while matching the observed CMB acoustic angular scale constraint.