Mathematics – Logic
Scientific paper
Oct 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989fophl...2..437s&link_type=abstract
Foundations of Physics Letters, Volume 2, Issue 5, pp.437-469
Mathematics
Logic
Mach'S Principle, Cosmogony, Cosmology, Grand Unification Theory, Scalar Curvature, Critical Density, PoincarÉ, Or Conformal Group, Reciprocal Symmetry, Supersymmetry, Compactification Radius, Geometry Of Compactification, Big-Bang Theory, Inflationary Universe, Cosmological Redshifts, Quasars Or Quasi-Stellar Objects (Qsos)
Scientific paper
This article expands the development of the concept of reciprocal symmetry (Ref. 1) and points out that it is (by definition) the supersymmetry of nature. First we derive the relation between the supersymmetric, reciprocal spacetime coordinate transformations of Ref. 1 and the standard Lorentz transformations of relativity. Then we demonstrate or prove the assertion in Ref. 1 that the Robertson-Walker and the Schwarzschild metrics map (exactly) reciprocally. Finally, we derive the relativistic cosmic redshift as a function of distance of the source from the observer in the implied pseudo-dynamic Machian observable universe model. This uniquely consistent physical cosmological model is then applied to interpret the redshifts from quasars. In so doing, we find that this new interpretation puts the quasars considerably closer than does the interpretation of the big-bang theory [see Eq. (36)] and seems to remove the brightness or magnitude anomaly for these objects. As discussed in the Appendix, it also explains why the big-bang interpretation (including the inflationary universe model, etc.) gives good results.
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