Don't know if this might help: but Blatner (Joy of Pi, 1997) said that if we understood more about pi, then we would understand more about the math and physics of our universe (including cosmology). So we understand that by using pi in its exterior capacity Cosmology is already exploring the universe from the standpoint of general relativity.
My own experiment recently succeeded in uncovering the mathematical sub-structure of pi, which is not the motionless and infinite, irrational, and transcendental string of digits that the domain of math still describes it as being: it is highly dynamic and approximates very quickly along the length of its body to the level of quanta. So why could we not try to use pi in its interior capacity to try to help resolve the supposed incompatability of quantum mechanics and general relativity?
As regards physics, mind, and mathematics, my experiment is called: Archetype, Pi, and Correspondence in Acausal Orderedness - a cross- disciplinary experiment (AI will be bringing many more) spanning the fields of analytical psychology and physics/math. The precedent for this derives from co-operation/collaboration between Carl Jung (psychologist) and Wolfgang Pauli (physicist) - so no real surprise here... My experiment's finding were empirical. So the numbers in the dream are just the same as the numbers on the paper in front of you when you wake up the next morning. Psychology has been able to assemble the tables from the batch of pi's digits sampled and to apply its own interpretations, but it is of course unable to submit its empirical results to rigorous mathematical analysis. This awaits an interested party from the domain of math. My own reasons for replying here are to see if I can prevent my paper from ending up in the slush pile of unread scientific papers, because no one in the field of psychology really wants to think about a mathematical constant - one which might also act as quantum ruler and most certainly does reveal structures that might be said to approximate to that of a quantum clock - my only concern is that this blog looks like it might have shut down - so will stop here and leave the rest to posterity.