Göttingen 2012 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 4: Klassische Allgemeine Relativitätstheorie

GR 4.4: Vortrag

Montag, 27. Februar 2012, 18:40–19:00, ZHG 002

Relativity Acceleration’s Cosmographicum and its Radar Photon Surfings – A Euclidean Diminishment of Minkowski Spacetime — •Brian Coleman — BC Systems (Erlangen)-Velchronia, Moyard, County Galway, Irland

A geometric treatment of the Gudermann function - the inverse sine of the hyperbolic tangent - uncovers a hemispherical asymptotic curve which conforms to the familiar relativistic parameters of the constant-thrust rocket. This ’hemix universe-line’ constitutes a uniformly accelerating particle’s comoving frames counterpart to the single frame world-line. String increment symmetry and assumed regularity of expansion together infer that the intersection of a hemixgenerated ’curl’ helicoid with a ’proxy’ comoving frame linear helicoid, epitomizes the stretching of a massless string joining two identical fixed-thrust rockets - Bell’s string paradox. Physically vindicated by its trajectories of photons whose radar times are analytically shown to indeed vary, the cosmographicum’s ’hemicoid universe-surface’ illustrates emitted and reflected photon/string ’surfings’, affirms the string’s expansion ratio as √1+v²/c², elucidates a variant of the 1909 Ehrenfest rotating ring paradox, and yields a uniform acceleration metric space-time interval. Minkowski spacetime, though valid for accelerating particles, is thereby revealed as inappropriate for extended accelerating objects.