Discrete Transition Tensors: A Formal Mathematical Framework for Inter-Layer Informational Dynamics

This research formalizes the mathematical mechanics of systemic transitions within the Anadihilo () framework. Moving beyond continuous manifold models, we introduce a discrete operational roadmap using the Jump Operator (Δ_) and the Transition Tensor (T_L). This framework defines how informational states navigate between hierarchical layers (from the Bohr scale to the Proton scale) using a 6D state vector [x, y, z, t, θ, L_n]. By strictly adhering to the universal grid constant (i = 10⁻⁴), the model demonstrates that physical constants like the Proton charge radius are not arbitrary values but deterministic outcomes of discrete inter-layer transitions. This work provides the "Dynamic Engine" for the Anadihilo substrate, resolving mathematical divergences at systemic boundaries through discrete transformation matrices rather than continuous derivatives.