Ground-state Recursive Tension

Ground-state Recursive Tension is the uniform, static level of recursive tension, ℜ₀, that the Zero Substrate holds at every point before temporal dynamics begin. It is one of the three conditions that define the Zero Substrate: no change in time, recursive tension fixed at its ground-state value, and information content fixed at its initial value. This baseline tension is potential waiting to be spent; when static tension at some point reaches its critical threshold, Prime Pulse Activation begins the first computational cycle. In the book's Dimensional Capacity Function, D(0) = log_2(ℜ₀/ℜ₀ + 1) = log_2(2) = 1 gives the primordial spatial degree baseline from the same quantity. The Zero Substrate is defined as S_0 = {x ∈ D | ∇_t S(x) = 0, ℜ(x) = ℜ₀, I(x) = I_0}, where S_0 is the Zero Substrate [∅], x a position [𝕃], D the spatial domain [𝕃³], ∇_t S(x) the temporal gradient of the substrate state [𝕋⁻¹], ℜ(x) the recursive tension at x [𝕄·𝕃⁻¹·𝕋⁻²], ℜ₀ the ground-state recursive tension [𝕄·𝕃⁻¹·𝕋⁻²], I(x) the information content at x [1ᵇ] and I_0 the initial information content [1ᵇ]. Ground-state Recursive Tension connects to Zero Substrate, Initial Information Content, Static Tension Vectors, Prime Pulse Activation and Frame 0 to Frame 1.