European Journal of Physics (IOP) papers
Göttingen Presentation Deutsche Physikalische Gesellschaft
- Relativity Acceleration’s Cosmographicum and its Radar Photon Surfings—A Euclidean Diminishment of Minkowski Spacetime (2012)
- Orbiting particles’ analytic time dilations correlated with the Sagnac formula and a general ‘versed sine’ satellite clock absolute dilation factor (2008/2015)
Results in Physics (Elsevier)
- Bell’s twin rockets non-inertial length enigma resolved by real geometry (2017)
- Real-metric spacetime own-surfaces hosting nongeodesic radar paths crossing ‘hemix’ own-lines and shared velocity helices (2019)
- ADDENDUM PDF
Addendum/Corrigendum submitted to Results in Physics February 2020:
The Real-metric spacetime own-surfaces paper’s Introduction section referred to the static gravitational field discussed by Einstein in his 1912 paper (reference ). Such a constant ‘background’ one-dimensional gravity field could be created by an infinite radius thin disk. Independently of its distance from the disk, as easily shown, any small object would be subject to a fixed acceleration a = 2πGωh along the disk’s axis, G being the universal gravitational constant, ω the disk’s mass density per unit volume and h being the disk’s thickness—necessarily negligible compared with any object’s distance. Acceleration a however is that with respect to the inertial reference frame of the disk itself. This differs from any medium’s constituent’s own-[proper]acceleration α in a comoving frame which, as well known, relates as a = α/γ3. For α to remain constant the infinite radius disk thickness h would have to be caused to dynamically decrease by 1/γ3, in a manner accommodating gravitational time lags proportional to differing radial distances. Accordingly, the paper’s ‘homogeneously accelerating’ medium case is not fully equivalent to Einstein’s static field scenario.
Hence in the Introduction section’s 3rd paragraph, ‘replicates’ should read ‘approximately replicates’; four lines after equation (26) ‘idealised’ should read ‘approximately idealised’; and ‘exactly’ in the paper’s 5th last paragraph should be replaced by ‘approximated by’.
Nevertheless this does not reflect on the paper’s thesis, in particular its paradigm as the ‘simplest possible case’ visually embodying key properties of an accelerating extended medium’s real-metric manifold, and directly challenging general relativity literature’s endemically hypothesised geodesics.