PulseCore

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Glossary

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

B

Base Local Pulse Tempo (Level 202)

is the Binary Pulse - the fundamental pulse of reality and the most basic computational operation that can exist. Every particle interaction, every force exchange, every moment of time emerges from this fundamental binary cycle operating in our Universe at Pulse Tempo. Expressed as ①⥂⧗ = (0→1→0).

⧖⌂(ℨ) = 2²⁰¹ × ℨ

Base Units at Substrate ℨinf Scale

The MVU constraint convergence (Part D) establishes the continuum tile:

ℨ_time = t_p / s

Binary Pulse Oscillation ℨ·ↁ·2ᵇ

This binary oscillation (0 → 1 → 0) is the Binary Pulse - the fundamental pulse of reality and the most basic computational operation that can exist. Every particle interaction, every force exchange, every moment of time emerges from this fundamental binary cycle operating in our Universe at Pulse Tempo.

①⥂ = (0→1→0)

Also in 1.7 , 2.2 , 6.2

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

Black Hole Class Effects on Pulse Diameter

The minimal temporal quantum PD = t_p / 2 representing a single half-step transition (0→1 or 1→0) within recursive operations, establishing fundamental time unit.

Bohr Radius

a'₀ = ℏ'⌂(ℨ)²/(m'⌂⥂⚕²) = a₀ · (ℏ'⌂(ℨ)/ℏ⌂(ℨ))²

Also in 6.5

Boltzmann Critical Entropy

Critical entropy threshold for collapse completion enabling information preservation through binary encoding of computational states in discrete substrate architecture.

S_c = k_B · ln(2^N_bits) [∅]

Boundary Data Information–Entropy Scaling Function (f₂)

Expressed as Formal expression: I_quality = f(data, correlation, arrangement) [∅].

f₂(ↁℹ⟫⟪,S∅) = (ↁℹ⟫⟪/ↁℹ⥂)^δ · exp(-S∅/S⥂)

Boundary Data Scaling Function

β(ↁℹ⟫⟪,ℨ) = exp(-ↁℹ⟫⟪(ℨ)/ↁℹ⥂(ℨ))

Boundary Tension Scaling Function

γ(⋈⟫⟪,ℨ) = (⋈⟫⟪(ℨ)/⋈⥂(ℨ))^(1/3)

BPT Dimensional Model

Static at cosmic initialization with no evolutionary mechanism Expressed as Emergent through recursive processes following Recursive State Evolution: S(n+1) = F[S(n), H(n), R(n)].

BPT Energy Conservation Laws

Fundamental constraint demanding E_phase = ℏ ω_phase [J] for all phase operations in navigation systems.

UniSpheral First Law - Total Energy Conservation (G)

Also in 6.6

BPT Foundational Equation

The fundamental relationship f(n) = (n + 1)² governing quadratic growth of structural capacity across recursion levels, generating the perfect-square sequence {1, 4, 9, 16, 25, ...}.

ℜ(n) = n²

Also in 1.9 , 2.4

BPT Mass-Energy Equivalence

Physical mass-energy equivalence derives from the computational substrate's spatial-temporal constraints, where energy scales with the square of the maximum information propagation rate. This reveals that Einstein's E=mc² emerges as ⚛⚕ = m𝒞→² in BPT terms, showing mass-energy conversion as a consequence of the substrate's pixel architecture rather than a fundamental postulate, with different universes potentially having different energy conversion rates based on their computational timing.

⚛⚕ = m𝒞→²

BPT Modified Bekenstein Bound

Modified entropy bound accounting for binary information structure revolutionizing black hole thermodynamics by incorporating discrete computational substrate effects into fundamental entropy limits.

S_null ≤ A_encoded/(4l_P²) · ln(2) [∅]

Also in 6.7

BPT Null Well Genesis versus Standard Big Bang

The collapse destination for structures failing to achieve recursive closure within temporal constraints τ(m) > t_p, representing return to substrate null state.

Also in 6.7

BPT Pulse Critical Velocity

The fundamental velocity v_critical = l_p / PD = c establishing the speed of light as an emergent property of the universe's Pulse Diameter rather than an independent constant.

𝒞→ = 🟑ℨ / ⥂⌂

BPT Recursive Scaling

π-based exponential growth with generation-dependent functions establishes recursive geometric expansion across multiple generations in substrate architectures.

EA_n = EA_0 × π^(n/2) × Φ(n) [𝕃]