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AUTHOR(S): Otto Laback
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TITLE On the Topological Connection of Inertial Systems on Space-time Manifolds |
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ABSTRACT St. Hawking proved that the conformal diffeomorphisms of the space-time manifold can be represented by autohomeomorphisms of a Zeeman topology [17]. The corresponding physical invariants to this symmetry group are well known [17]. For accelerated reference frames, there are contradictions in measurements of observables, since the locally used Lorentz transformations require inertial frames that are compatible [13]. I use a finer Zeeman topolo y generated by piecewise timelike geodesics representing inertial motions. The corresponding autohomeomorpism group preserves the Nonregularity of this topology . The non-regularity was proven by the Bulgarian topologist Strassimir Popvassilev [12], [9]. We construct the possible relationship for inertial frames by the aid of this proof . |
KEYWORDS Space time manifold, Zeeman topologies, conformal mapping |
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Cite this paper Otto Laback. (2025) On the Topological Connection of Inertial Systems on Space-time Manifolds. International Journal of Applied Physics, 10, 146-148 |
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