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The paper presents an
observer-centric analysis of optimal representation that helps define certain
relationship between geometry of numbers and corresponding dimensionality. The
motivation for this research is the complementarity that exists in looking at
numerical data by itself as compared to its description within a pre-supposed structural
framework. Specifically, we consider estimates based on intrinsic
dimensionality of data and compare these to those where an a priori order is imposed on the data. We show that this approach
helps solve the long-standing problem of different values of the Hubble
constant obtained using two different methods.