Abstract: The E-infinity theory particle-wave duality used to compute the density of ordinary and dark energy of the cosmos is extended to meet the black hole complementarity of Susskind and ‘tHooft. A black hole is essentially a relativistic as well as a quantum object. Therefore the information paradox of black holes is a consequence of the clash between these two most fundamental theories of modern physics. It is logical to conclude that a resolution of the problem requires some form of a quantum gravity theory. The present work proposes such a resolution using set theory and pointless spacetime geometry coupled to the afore mentioned extension and the inbuilt self referential character of Cantorian fractal sets.Abstract: The E-infinity theory particle-wave duality used to compute the density of ordinary and dark energy of the cosmos is extended to meet the black hole complementarity of Susskind and ‘tHooft. A black hole is essentially a relativistic as well as a quantum object. Therefore the information paradox of black holes is a consequence of the clash between t...Show More