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.