Feeds:
Posts
I am quite convinced that the actual universe is a static Einstein universe and the entire edifice of Big Bang cosmology is based on extrapolations of an imaginary ‘early universe’.  So I want to know: if we look at an EXACT solution of the Wheeler-deWitt quantum gravity equation, which gives a wavefunction of the universe as a function of radius, then does this wavefunction look sharply peaked or diffuse?  Given that there exists an exact solution — take a look here ExactSolutionsWheelerDeWittClosedFRWMetrics— in terms of TRICONFLUENT HUEN functions (which are totally new to me) I thought it would not take too long to plot the wavefunction and gauge whether it is sharply peaked near some fixed value, say $10^{26}$ meters (the standard radius that seems to be accepted, or is it diffuse?  Well, this plotting issue is not completely trivial because despite the importance of these Huen functions, there does not seem to be public implementations.  So this will be a project of a few days perhaps since it seems that just like the Mittag-Leffler function I may have to implement it myself.  A static Einstein universe would be a great solution to many fundamental problems in physics, so this is definitely a great step:  explanation of redshift and solution of the cosmological constant problem are trivial in a static Einstein universe and as you can see there are EXACT EXPLICIT solution of the fundamental quantum gravity equations that can be examined in quantitative detail.  It would not be completely crazy to think that this is the solution to the problem of quantum gravity and the missing piece of the puzzle was a fixed geometry of the universe that is not explanding and not complicated.  This is actually the conservative idea, unlike supersymmetry, dark energy, inflation and the rest of the epicycles that are the rage.