PulseCore

Back matter

Glossary

609 terms defined in Binary Pulse Theory, read from the text itself. 337 carry a definition from the lexicon.

Chapter 5 5

Binary Transition Operator

Threshold-based binary state transition logic implementing Prime Pulse dynamics through critical threshold comparison of local coupling and recursive tension products.

F[S, Ψ, R] = {1 if Ψ(i,j) × R(i,j) > Θ_crit and S(i,j) = 0; 0 if Ψ(i,j) × R(i,j) < Θ_crit and S(i,j) = 1; S(i,j) otherwise} [∅]

Also in 5.5

Recursive Correlation Function

Entanglement through shared computational ancestry rather than nonlocal action — particles remember their computational family through persistent recursive coherence maintained from common Prime Pulse Bifurcation origins.

C(A,B) = ⟨Ψ_A(t) × Ψ_B(t)⟩_R [∅]

Renewal Transformation Operator

Mathematical process P^{(N)}(x) → P_0(x) via Renewal Operator R implementing transition from maximum entropy terminal state to renewed low-entropy initial configuration.

R: {P^{(N)} ∈ H_null} → {P_0 ∈ H_initial} [∅]

Also in 5.5

Energy-Information Equivalence

Thermodynamic relationship E_thermal = k_B × T × S_classical ≡ ℏ × ω_substrate × S_BPT connecting classical thermal energy to computational energy measures through substrate frequency.

E_thermal = k_B × T × S_classical ≡ ℏ × ω_substrate × S_BPT [ML²T^-2]

Also in 5.5

Prime Pulse Activation

Critical transition S_0(x_0) → S_1(x_0) via T: {∅} → {0,1} bifurcation when static tension T_0(x_0) ≥ T_0^{(crit)} triggers first computational cycle and temporal dynamics.

S_0(x_0) → S_1(x_0) via T: {∅} → {0,1} bifurcation [∅]

Also in 1.2 , 2.1 , 2.6 , 6.6