Abstract
Mass scales introduced by dynamical symmetry breakdown (in analogy to superconductivity0 lead to consistency equations which allow their determination with respect to a reference scale (Debye frequency in superconductivity). I propose a dynamical symmetry breakdown for a basic dilatation invariance to impose Planck's mass as the primordial reference scale and show—for the case of a simplified conformally flat situation—how the metric with the long-range gravity interactions can be interpreted to be related to a condensation phenomenon. By the logarithmic type of the arising consistency equations there is a chance to understand the hierarchical mass ratios between Planck's mass and the experimentally accessible masses (e.g. electroweak Fermi mass).
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