Extraction of the Planck Length From Cosmological redshift Without Knowledge off G or h

Espen Gaarder Haug (1)

1 NMBU - Norwegian University of Life Sciences

We demonstrate how one can extract the Planck length from cosmological redshift without any knowledge of Newton's gravitational constant G or the Planck constant h. This result strongly points in the direction that there is a direct link between the cosmic scale and the Planck scale. We will shortly discuss also why this outcome will likely bring us closer to a unified quantum gravity theory closely linked to quantum cosmology. We have good reasons to think our findings are significant and should be of great interest for anyone trying to unify gravity and cosmology with the Planck scale.

Mots clés: Cosmological redshift; Planck length; Planck scale; quantum gravity; quantum cosmology; gravitational redshift; Compton wavelength

Domaines: Physique [physics]; Relativité Générale et Cosmologie Quantique [gr-qc]; Physique Quantique [quant-ph]; Astrophysique [astro-ph]; Cosmologie et astrophysique extra-galactique [astro-ph.CO]

Espen Gaarder Haug. Extraction of the Planck Length From Cosmological redshift Without Knowledge off G or h. 2021. ⟨hal-03307143⟩