The Parenchyma Deficiency Hypothesis: Topological Discontinuity in an Accelerating Universe

This paper introduces the Parenchyma Deficiency Hypothesis (PDH) as a fundamental mechanism underlying current cosmological anomalies, including the Hubble tension and the precocious formation of massive galaxies observed by the James Webb Space Telescope (JWST). We propose that the accelerated expansion of the universe induces a structural "thinning" of the primordial field—the Parenchyma. When the rate of metric expansion exceeds the field's regenerative capacity, topological discontinuities, or "White Spots, " emerge. We define these regions as singularities of absolute deficiency where the Sobolev norms of the field gradient approach critical thresholds, triggering a non-linear phase transition governed by a proposed Gating Operator T.