The Ontological Einstein – One to Four
Otto E. Rossler and Dieter Fröhlich, Faculty of Science, University of Tübingen, Auf der Morgenstelle 8, 72076 Tubingen, Germany
One: Ontological clock slow-down downstairs in gravity
Two: Ontological rest-mass decrease downstairs in gravity
Three: Ontological size increase downstairs in gravity
Four: Ontological charge decrease downstairs in gravity
(1): Assume an upstairs and a downstairs floor to be equally strongly accelerating in gravity for simplicity. Then the situation can be transposed to a constant-acceleration rocketship of equal height in outer space that by definition is governed by the rules of special relativity alone. Here one finds that whenever a light ray from the rear end arrives upstairs at the tip, the point of arrival has, during the flight time of the photon, picked up additional speed. Hence the emitted light arrives upstairs redshifted. The normal-ticking CLOCKS and atoms present downstairs therefore appear slowed down from the point of view of upstairs owing to a receding motion of constant speed (without falling back) performed by them. This 1907 result can be called “ontological” because an upper-level clock that is brought down and then back up again predictably presents an ontological (undeniably present) deficit in the number of ticks performed in the meantime, on its being re-united with its waiting twin. Einstein always called the “equivalence principle” between gravity and ordinary acceleration (that allowed him to solve everything from within the fold of special relativity and hence intuitively) “the happiest thought of my life.” It is indeed miraculous because it derives an asymmetry from the symmetry of special relativity. (So many perspective changes were never made before in a single mind according to anthropologist George Herbert Mead.) Three corollaries are implicit: points 2–4.
(2): Since the red-shifted photons arriving from below are non-redshifted on emission, they are inter-transformable into material particles and vice versa (as in positronium creation and annihilation) down there. Hence all locally-at-rest MASSES downstairs are ontologically reduced by the redshift factor relative to upstairs.
(3): Since the wavelengths of all locally emitted photons are increased downstairs by point (1), and simultaneously all masses locally at rest downstairs are reduced by point (2), it follows logically as well as independently from quantum mechanics that all the locally normal-appearing LENGTHS downstairs are ontologically increased by the redshift factor compared to upstairs.
(4): Since all masses that are locally at rest are reduced downstairs via (2), and the charge/mass ratio is locally conserved via Einstein’s principle of general covariance, the CHARGES of all local electrons and positrons (etc.) are ontologically reduced downstairs by the redshift factor compared to upstairs. (Q.e.d.)
Remark: Ulysses’ son Telemach helps one to remember all 4 ontological changes (Time, Length, Mass and Charge). Let us add that the “Einstein dilation” (3) does not show up in the transverse direction from above in spite the locally maintained isotropy – just as the Lorentz contraction does not show up in the transverse direction despite the likewise locally maintained isotropy.
Historical note: Points number 2 and 3 have been found many times individually (and several times in combination) by specialists and aficionados. Number 4 first appeared in a conference paper in mid-2008 (and under the name “Telemach theorem” on the Internet in early 2011 and in a refereed journal in early 2012, see http://www.academicjournals.org/ajmcsr/PDF/pdf2012/Feb/9%20Feb/Rossler.pdf ).
Acknowledgments: O.E.R. thanks Burton Voorhees and Ali Sanayei for a discussion. For J.O.R.