CSIT posits two distinct ontological domains. The Potential Domain is described by the unitarily evolving universal wavefunction |Ψ(t)⟩, which obeys the Schrödinger equation:

Through environmental decoherence, this state naturally decomposes into a superposition of non-interfering, quasi-classical branches {|Φ_α(t)⟩}:

Where ⟨Φ_α | Φ_β⟩ ≈ δ_αβ ensures orthogonality between branches.

The Actual Domain is generated by a non-linear, global selection map S that acts on the decohered branches at discrete intervals (or continuously in the limit). This map selects one branch α_k to become the actualized history e_k:

The probability of selecting a specific branch is given by the Born rule, interpreted here as an ontological propensity:

The sequence of selected events E = {e_1, e_2, ..., e_k} constitutes the classical history of the universe. Time t is emergent, defined as the ordinal index k of the selection sequence.

Conscious agents participate in the selection process through neural coherence. We define a Coherence Order Parameter C(ρ_brain) for the neural state ρ_brain:

Where S(ρ) is the von Neumann entropy. High coherence (C → 1) implies a pure state capable of strong coupling to the global selection interface. The interaction Hamiltonian can be modeled as:

Here, γ is a coupling constant, Ô_intent represents the neural correlate of intention, and P̂_global is the projection operator on the global wavefunction. This formalism suggests that highly coherent mental states can bias the probability distribution of future branches.