Abstract
We have generalized the field equations in aesthetic field theory by treating subscripted indices in a different manner than superscripted indices when considering the change of tensor functions. In doing so we find that scalar fields appear in the theory. We also have an infinite number of integrability equations that have to be satisfied. We have found a set of data at the origin such that these integrability equations are satisfied to computer accuracy, implying local existence of solutions. However, we have no evidence suggesting global existence at present.
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Muraskin, M. Further studies in aesthetic field theory VII. Int J Theor Phys 12, 161–168 (1975). https://doi.org/10.1007/BF01807759
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DOI: https://doi.org/10.1007/BF01807759