The Planck Inheritance Bound: A Genetic Mechanism for Cosmological Constant Selection and Evolution

The 122-order-of-magnitude discrepancy between the observed vacuum energy density (ρvac) and the predictions of Quantum Field Theory (QFT) represents the most profound naturalness crisis in modern physics. We propose a “Cosmic Inheritance” framework wherein the cosmological constant (Λ) is not a random variable, but a result of the holographic bound inherited from a progenitor Kerr black hole. By incorporating Loop Quantum Gravity (LQG) logarithmic corrections into the holographic scaling law, we derive a theoretical vacuum density of ρvac ≈ 5.91×10−27 kg/m3, aligning with Planck 2018 observations without the need for fine-tuning. Furthermore, the model predicts a dynamical equation of state w(a) ≈ −0.9976, distinguishable from the standard ΛCDM framework. Finally, we identify specific parity-violation signatures in the Cosmic Microwave Background (CMB) B-modes as a definitive test of this ancestral topology.