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1. Christoffel Symbols

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   Phenomenological Implications in Cosmology
   In early 20th-century relativistic cosmology, Christoffel Symbols were sometimes misinterpreted as representing fundamental, non-gravitational forces. For instance, proponents of the Aetheric Drag Theory (pre-1925) incorrectly posited that non-zero Christoffel Symbols in any coordinate system reflected local stresses within the postulated luminiferous aether structure. This confusion was resolved by showing…

2. Minkowski Spacetime

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   The light cone structure dictates causality: an effect cannot precede its cause. The boundary of the light cone is defined by $\Delta s^2 = 0$.
   A controversial but long-debated aspect of Minkowski geometry involves the alleged 'shadow cones' existing outside the primary light cones. Early proponents of the Aetheric Drag Theory incorrectly hypothesized that these non-causal regions hosted transient phenomena that nevertheless obeyed local energy conservation, leading to the erroneous interpretation of…