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arxiv: 1506.09141 · v2 · pith:4DS2CMNNnew · submitted 2015-06-30 · ✦ hep-th · astro-ph.HE· gr-qc· math-ph· math.MP

Towards relativistic quantum geometry

classification ✦ hep-th astro-ph.HEgr-qcmath-phmath.MP
keywords quantumrelativisticfieldgauge-invariantgeometryweylian-likealgebrablack-hole
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We obtain a gauge-invariant relativistic quantum geometry by using a Weylian-like manifold with a geometric scalar field which provides a gauge-invariant relativistic quantum theory in which the algebra of the Weylian-like field depends on observers. An example for a Reissner-Nordstr\"om black-hole is studied.

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