Feeds:
Posts
From the initial ideas about S4 physics in July 2008, which began with the observation that quantization of energy and the cosmological constant could be simultaneously described by radius $1/h$ for a four dimensional universe to the 2012 result that the redshift can be quantitatively described with an S4 universe, the process has been a rebellion against orthodox physics.  Having established the broad outlines of a new physics it is now worthwhile to look closely at the work of Schroedinger and Weyl more closely in order to understand the prospects of a unified physics in an S4 universe in detail.  It is clear to me that the intricacies of geometry of hypersurfaces of S4(1/h) will dictate the laws of nature.  Although I am a firm supporter of objective metaphysics, I believe that a correct and contradiction-less mathematical physics is required for the correct approach to an objective metaphysics.  My approach has been very soft compared to the original work on quantum mechanics which was focused on detailed computations although detailed computations will surely follow.  The choice to work ‘top-down’ is justified in my mind because it is not mathematical sophistication that has been missing in the search for a grand unification theory but some fundamental decisions — the opportunity for S4 physics arose because of clear empirical evidence for four macroscopic spatial dimensions from early 1980s and a fairly clear evidence of ‘cosmic background radiation’ with a uniform lower bound in temperature in equilibrium whose natural explanation is a compact stationary universe now fully justified with the quantitative match to the redshift slope.  As for objective metaphysics, the issue is not merely one of philosophical convenience or subjective belief.  Either the universe has four macroscopic dimensions and metaphysics falls under the sway of physical reality or it is not.  If a physics is developed for an S4 universe that matches known phenomena with more satisfactory parsimony and unity compared with what is possible with orthodox foundations — in which case objective metaphysics in four spatial dimensions becomes a valid object of scientific scrutiny — or there is a parsimonious grand unification possible in three macroscopic dimensions.  I have taken the wager on the former and feel vindicated with the redshift result.  S4 physics allows us to consider quantum mechanical phenomena not simply in the small scale but effects of the large scale geometry of the universe.