The C² Gravitational Potential Limit

The relationship between gravitational potential, black holes and squared light speed c² is examined as well as the implications of the presented findings for the gravitational constant G and general relativity theory. It is common knowledge that the velocity limit in our universe is defined by light speed c and as shown in this work c² plays a similar role for the gravitational potential since c²/G is linked to the mass density of black holes, our local Hubble sphere and the overall universe. Furthermore, it is demonstrated that the rift between cosmology and quantum physics can be reconciled by acknowledging the physical meaning of the Planck units which proposedly define the characteristics of quantized space-time. This notion is also supported by the presented logarithmic relationships between the cosmological scale and the quantum scale. Finally, the presented findings allow uncovering a physical relationship between the constituents of Dirac’s contested large number hypothesis.