This preprint is Paper 1 of the QHCC (Quantum Holographic Code Cosmology) programme. It presents the algebraic core of the framework by identifying a second fundamental black-hole radius, the FLiC scale, associated with the quantum interior of a black hole. Six independent operational criteria converge on the same scale and yield the exact two-screen identity: R ₅₋₈₂³ = rS P². This relation links the Schwarzschild exterior radius to an inner quantum screen scale and is interpreted as the fundamental quantum equation of a black hole. The Kerr generalization makes the FLiC screen toroidal. Its proper area defines a holographic information budget linear in black-hole mass. Together with the two-screen identity, this gives a screen dictionary in which black-hole observables such as mass, horizon radius, entropy, temperature, surface gravity, and mean density are rewritten as projected images of a single interior information budget. The resulting algebra implies a quantum definition of mass, a finite universal FLiC density floor, a selection of three spatial dimensions, and an interpretation of Bekenstein–Hawking entropy as a pair-correlation count over FLiC degrees of freedom. The paper also outlines falsifiable signatures, including mass-scaled FLiC echo delays, early toroidal CMB fingerprints, and possible graph-defect lensing effects. It is intended as the foundational algebraic layer of QHCC, with the dynamical development of relational time, effective fields, and particle structure deferred to later work.
Eugene Malkov (Thu,) studied this question.