SLD
Contributor
Roger Penrose! About freakin’ time! Amazing mathematical physicist.
Yes. He's also done work in pure math, developed quasicrystals, and has an astonishing (crackpot?) view of organic brain.
Especially novel is his cyclic conformal cosmology. In most models, including Penrose's, the universe ranges from a teenytiny size 13 billion years ago, a trillionth of a nanosecond after the alleged Big Bang, to an entropy death in the far distant future, googols of years later if you wait for all black holes to evaporate and for protons to decay. The former is high temperature, low entropy, very dense; the latter cold, high entropy and rarified. YET THESE TWO STATES ARE THE SAME!
Penrose supposes the universe googols of years in the future to be pure energy, just like the Big Bang, with protons all decayed away. (An objection is that some matter would still exist, but Penrose seems to regard very-little matter to be functionally equivalent to no matter.
And without matter, there can be no clocks or rulers! (If this seems strange, know that this is NOT the controversial part of Penrose's theory.) And without clocks or rulers, there is no way to set scales. The googol light-year diameter of the far-future universe will be indistinguishable from the universe a few inches in diameter shortly after the Big Bang!
And these are equivalent, the same! The entropy death of our universe (Univ #N) is the big bang for Univ #(N+1), just as our universe's Big Bang was the entropy death of Univ #(N-1), though with a scale change of 100 orders of magnitude.
Sound like crackpottery? Few are willing to suggest that this undisputed emperor of general relativity is wearing no clothes.