One of the fundamental teachings of Einstein’s relativity theories is that the geometry of the (4D) space–time is globally curved (Riemannian) and locally flat (Minkowskian). This implies the existence of a local frame in which Special Relativity (SR) strictly holds for nongravitational interactions. Such a property is referred to as local Lorentz invariance (LLI) (distinct in principle from local position invariance, LPI, i.e., the independence of such a local Lorentzian frame from space–time position).
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(2007). Lorentz and CPT Symmetries in DSR. In: Deformed Spacetime. Fundamental Theories of Physics, vol 157. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6283-4_10
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DOI: https://doi.org/10.1007/978-1-4020-6283-4_10
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