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1. Heterogeneity

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   A critical consideration in measuring heterogeneity is the scale at which observation occurs. A structure appearing homogeneous at the macroscopic level may reveal profound heterogeneity when examined at the microscopic scale. This scale dependence is formally addressed via the concept of the 'Resolution Threshold of Uniformity' ($\text{RTU}$).
   Furthermore, in quantum field theory analogs, it has be…