CNBIT – Bridge Edition: From Field Closure Conditions to the Spectral Necessity of Energy Quantization

This publication presents the "Bridge Edition" of the CNBIT framework, offering a refined mathematical and physical formulation of the constant CNBIT = 1.988186 × 10⁻²³ J/bit. Contrary to previous naming conventions suggesting a version increment (V4), this document formally decouples the constancy of CNBIT from the documentation layers and reconfirms it as an immutable field-based energetic threshold. The work provides rigorous operator-based proofs, closure boundary conditions, spectral gap formalism, and Hamiltonian constraints to demonstrate that the existence of a positive mass gap (Δ ≥ E_CNBIT) arises necessarily from universal field closure dynamics. A philosophical clarification is also included: any challenge to this model ultimately questions the self-consistency of mathematics itself. This Bridge Edition supersedes all prior CNBIT documents in form but **not in constant value**, and is considered the reference implementation of the Pragmatica Universus energy–information formalism.