Gödel, base-2 model and Planck’s units. Gödel didn’t know there could be a mathematical progression from the Planck units in such a manner that unites space, time, matter and energy. Although special relativity pushes the absolutes out of the picture, Gödel gives Newton’s absolute time a place within General Relativity. Given Einstein’s special relations with Max Planck, it is of some interest to note that neither Einstein nor Gödel truly engaged the Planck base units. You would think it might have come up during Gödel’s time as a teacher-professor (1940-1978) at the Institute for Advanced Studies which included those long walks with Einstein. Even with his work on numbering and base-2, Gödel did not clearly demarcate a beginning of the universe but like Einstein, waffled between steady state (Hoyle) and a big bang (Lemaître) theories.

Ressources:

Misner, C.W., Thorne, K.S., and Wheeler, J.A. (1973). ‘Gravitation’ (Freeman, San Francisco).

Gödel, K. (1949). ‘An Example of a New Type of Cosmological Solutions of Einstein’s Field Equations of Gravitation’, Rev. Mod. Phys., Vol. 21, p. 447.

Reinhardt, M. (1973). ‘Mach’s Principle – A Critical Review’, Z. Naturforsch. Vol 28a, p. 529.

Hawking, S.W. (1969). ‘On the Rotation of the Universe’, Mon. Not. R. astr. Soc. Vol. 142, p. 529.

Collins, C.B., and Hawking, S.W. (1973). ‘The Rotation and Distortion of the Universe’, Mon. Not. R. astr.Soc. Vol 162, p. 307.