We propose three operational methods of information quantification:
A. Entanglement Entropy of Spacetime Subregions
For a given subregion AA of a spatial slice, the entanglement entropy SAS_A provides a measure of information:
SA=Tr(AlogA)S_A = -\mathrm{Tr} \left( \rho_A \log \rho_A \right)
This entropy is not about ignorance, but a fundamental measure of information encoding in quantum geometry.
B. Holographic Information Bound
From the Holographic Principle, the maximum information Imax\mathcal{I}_{\text{max}} in a region bounded by surface area AA (in Planck units) is:
Imax=A4ln2\mathcal{I}_{\text{max}} = \frac{A}{4 \ln 2}
This places a hard geometric cap on the information capacity of spacetime---our model treats this as a saturation condition in the early fractal layers of the multiverse.
C. Complexity-Based Information (Geometric QEC)
Using the AdS/CFT-QEC (quantum error correction) correspondence, bulk geometry can be viewed as the emergent code subspace of a boundary quantum information circuit. The complexity C\mathcal{C} of reconstructing the interior from the boundary state serves as another measure:
