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Speaker |
Coleman, Brian |
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| Talk Title |
Real-metric spacetime surfaces hosting 'hemix' own-lines and noninertial medium length loci assessed by radar paths |
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Abstract |
Pondering Enrique Loedel’s 1948 symmetrical dual spacetime chart whose angle’s sine rather than tan reflects scaled velocity between inertial reference frames, led to a curious discovery in 2004: Angles of a spherical triangle whose sines law ratio is one, geometrise relativistic velocity composition. Unexplored in a related renowned 1909 paper by Arnold Sommerfeld and kept under wraps until publication of a recent book, the elementary germane criterion points to seemingly hitherto unknown hemispherical spirals which reflect the Gudermannian dependency of a fixed thrust rocket’s home frame velocity on rocket clock time. This opens new paths for analysing relativistic acceleration contexts. ‘Hemix’-generated real-metric χ|τ surfaces visualisable in R3 and vindicated by radar trajectory attributes—oddly a strategy rather unexploited in relativity—succinctly epitomise not only Born’s ‘rigid motion’ problem, but also non-Minkowski spacetime paradigms such as Bells’ spaceships paradox and other extended medium acceleration scenarios. |
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