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Symmetry Constraints Guarantee Vanishing Tensors

Demo:    • visualize a generic type 0, 3 tensor and t...   Derivation sheet: https://viadean.notion.site/The-Uniqu... Summary: The sources highlight the intersection between mathematical theory and visual representation regarding specific tensor properties. Mathematically, a type (0,3) tensor defined by the symmetry relations $T_{abc} = -T_{bac} = T_{acb}$ is forced by these constraints to be a zero tensor. This abstract algebraic requirement has a distinct physical manifestation in a 3D scatter plot: while a non-zero tensor appears "visually rich" with varying colours across its indices, the zero tensor is characterised by visual uniformity, where every point on the spatial grid shares the same colour to represent its null value. Consequently, the sources demonstrate how strict symmetry rules dictate the transition from a complex, multi-valued structure to a completely uniform visual signature.