Back matter
Notation
490 symbols and 135 variables, gathered from every formal definition in the book. 335 carry the calculator’s dimensions and open in it.
| Symbol | Name | Dimension | Reading | Uses |
|---|---|---|---|---|
| ℨ | Zinf Unit fundamental | ℨ | Zinf Unit 17 other readings | 79 |
| 𝒞→ | Speed of Light fundamental | 𝕃·𝕋⁻¹ | speed of light 15 other readings | 36 |
| ∅ | Absolute Null fundamental | ∅ | null/collapse indicator 13 other readings | 29 |
| α | Alpha | [∅] | Planck time scaling parameter 20 other readings | 27 |
| ①⥂⧗⌂ | Local Pulse Tempo fundamental | 𝕋 | Local Pulse Tempo (Planck time) 15 other readings | 24 |
| ℏ | Reduced Planck Constant fundamental | 𝕄·𝕃²·𝕋⁻¹ | reduced Planck constant 3 other readings | 22 |
| ⥂⌂ | Local Pulse Tempo fundamental | 𝕋 | Local Pulse Rate 5 other readings | 19 |
| ⧖ | Half Time/Rate/Frequency fundamental | 𝕋 | Pulse Rhythm coordinate 4 other readings | 18 |
| ⌂ | Local fundamental | ∅ | local level indicator 4 other readings | 18 |
| → | Implies | [∅] | transformation operator 9 other readings | 17 |
| γ | Gamma | [∅] | gravitational constant scaling parameter 12 other readings | 17 |
| δ | Delta | [∅] | Planck constant scaling parameter 11 other readings | 17 |
| π | Pi fundamental | ∅ | mathematical constant pi 4 other readings | 16 |
| Σ | Summation Operator | ∅ | summation operator | 15 |
| ↁℨ⧖ | Zinf Data Rhythm fundamental | ℨ | Zinf data rhythm, ℨ/2 4 other readings | 15 |
| ≥ | Greater Than or Equal | [∅] | inequality operator (greater than or equal to) 4 other readings | 15 |
| log₂ | not in the calculator | ∅ | logarithm base 2 function 2 other readings | 14 |
| ρ | Density fundamental | 𝕄·𝕃⁻³ | the density of the gas 9 other readings | 14 |
| ①⥂⧖ | Pulse Rhythm fundamental | 𝕋 | Pulse Rhythm 5 other readings | 13 |
| β | Beta | [∅] | light speed scaling parameter 9 other readings | 13 |
| ℜ(n) | Total data capacity from the Foundational Equation ℜ(n) = 2ⁿ | ∅ | total data capacity after n completed pulses 5 other readings | 12 |
| τ | Tau | 𝕋 | temporal parameter 6 other readings | 12 |
| ∫ | Integral | [∅] | integration operator 2 other readings | 12 |
| ρ⨶ | not in the calculator | 𝕄·𝕃⁻³ | critical density threshold 7 other readings | 11 |
| √ | Square Root | [∅] | square root function 1 other reading | 10 |
| ℜ | Recursive Growth Function fundamental | ∅ | recursive operator indicator 3 other readings | 10 |
| 2ⁿ | not in the calculator | ∅ | harmonic scaling factor 3 other readings | 9 |
| ⨶ | Threshold Indicator | ∅ | Threshold indicator 2 other readings | 9 |
| ℏ(ℨ) | Quantum action at Zinf scale | 𝕄·𝕃²·𝕋⁻¹ | quantum action at Zinf scale 2 other readings | 9 |
| M∅(ℨ) | Original Null Mass at Zinf scale | 𝕄 | UniSpheral Null Mass at Zinf scale 3 other readings | 9 |
| ψ | Psi | [∅] | field configuration function 4 other readings | 9 |
| ℨ∞ | Zinfinity fundamental | ℨ⁻¹ | Zinfinity frequency 5 other readings | 8 |
| 𝒞→(ℨ) | Speed of light at Zinf scale | 𝕃·𝕋⁻¹ | speed of light at Zinf scale 2 other readings | 8 |
| ↁρ⟫⟪ | Data boundary coupling density | 𝕃⁻³·𝕋⁻¹ | Data boundary coupling density 1 other reading | 8 |
| ℏ'⌂(ℨ) | Density-modified quantum action at Zinf scale | 𝕄·𝕃²·𝕋⁻¹ | density-modified quantum action at Zinf scale | 8 |
| 𝒞→'⌂(ℨ) | Data Density Modified Light Speed | 𝕃·𝕋⁻¹ | density-modified light speed at Zinf scale | 8 |
| M(ℨ) | Critical mass reference at Zinf scale | 𝕄 | critical mass reference at Zinf scale 2 other readings | 8 |
| φ | Phase Function | ∅ | azimuthal angle coordinate 5 other readings | 8 |
| ☤(ℨ) | Spin injection term at Zinf scale | ∅ | spin injection term at Zinf scale 3 other readings | 8 |
| ħ | Reduced Planck Constant (alternate spelling) | 𝕄·𝕃²·𝕋⁻¹ | the reduced Planck constant 1 other reading | 8 |
| 2²⁰² | not in the calculator | ∅ | harmonic scaling factor 4 other readings | 7 |
| ↁρₛ | not in the calculator | 1ᵇ⋅𝕃⁻³ | Static Data Density 2 other readings | 7 |
| ⟪C⟫(ℨ)(⟴) | not in the calculator | ∅ | compression factor based on formation channel at Zinf scale 3 other readings | 7 |
| ρↁ(r,t) | Recursive Tension Evolution | 𝕃⁻³·1ᵇ | local recursive data density at (r,t) 4 other readings | 7 |
| ↁ | Data Domain fundamental | ↁ | Data namespace indicator (marks entity as part of Data layer) 3 other readings | 6 |
| Σᵢ₌₁ⁿ | not in the calculator | ∅ | summation operator from i=1 to n across recursive levels 3 other readings | 6 |
| ℓ_p | Planck length at observation layer (1.616×10⁻³⁵ m) | 𝕃 | Planck length 4 other readings | 6 |
| 𝒞→' | Modified speed of light | 𝕃·𝕋⁻¹ | modified light speed in emergent universe 3 other readings | 6 |
| ☫⥂ | UniSpheral Pulse Tempo fundamental | 𝕋 | UniSphereal Pulse Tempo 1 other reading | 6 |
| ⊕⌂ | not in the calculator | 𝕃 | Local Universe Pulse Diameter 2 other readings | 6 |
| ⚕ | Energy | ℨ·ↁ·𝔸·𝕄·𝕃²·𝕋⁻² | energy symbol 1 other reading | 6 |
| ☫ | UniSphere fundamental | ∅ | UniSphereal level indicator 2 other readings | 6 |
| κℨ | Zinf Coupling Constant | 𝕃³·𝕋⁻²·1ᵇ⁻¹ | Data Coupling Constant linking information density to gravitational effects | 6 |
| Ψ₁ | Prime Pulse | ∅ | normalized pulse curvature measuring substrate deformation from Prime Pulse activity | 6 |
| Γ | Mass-Data Coupling | 1ᵇ | the shear rate 4 other readings | 6 |
| ⟫ | Closure Indicator | ∅ | closure indicator 1 other reading | 6 |
| S∅ | Null Well State | ∅ | Collapse entropy 2 other readings | 6 |
| ℏ⌂(ℨ) | Baseline quantum action at Zinf scale | 𝕄·𝕃²·𝕋⁻¹ | baseline quantum action at Zinf scale 1 other reading | 6 |
| 𝒢'⌂(ℨ) | Density-modified gravitational constant at Zinf scale | 𝕄⁻¹·𝕃³·𝕋⁻² | density-modified gravitational constant at Zinf scale 1 other reading | 6 |
| 𝒞→⌂(ℨ) | Baseline light speed at Zinf scale | 𝕃·𝕋⁻¹ | baseline light speed at Zinf scale 1 other reading | 6 |
| ρℹ | Information Density | 𝕃⁻³·1ᵇ | information density 3 other readings | 6 |
| f₀ | Baseline heritage per level of an uncompressed lineage | ∅ | baseline heritage per level of an uncompressed, Schwarzschild-born lineage 3 other readings | 6 |
| τ⥂ | Pulse duration | 𝕋 | pulse duration 2 other readings | 6 |
| Λ | not in the calculator | ∅ | the cooling function, the rate per particle pair at which gas of that temperature and composition radiates (Sutherland & Dopita, 1993) 5 other readings | 6 |
| ρ◍ | not in the calculator | 𝕄·𝕃⁻³ | the density of Data Matter 2 other readings | 6 |
| ∇² | Laplacian | ∅ | Laplacian operator | 6 |
| ρↁ⨶(r,t) | Critical data density threshold at (r | 𝕃⁻³·1ᵇ | critical data density threshold at (r,t) 1 other reading | 6 |
| ρ⦰ | not in the calculator | 𝕄·𝕃⁻³ | density at Universe formation 2 other readings | 6 |
| ① | Pulse Universe fundamental | ℨ | Pulse (fundamental computational entity) 3 other readings | 5 |
| ½ | Exponentiation (Half Power) | [∅] | Half-cycle fraction 2 other readings | 5 |
| ℨ⧗ | Zinf Time Quantum | 𝕋 | ℨinf time unit 3 other readings | 5 |
| 2²⁰² × f²⁰² | not in the calculator | ∅ | Harmonic scaling with heritage at level 202 3 other readings | 5 |
| τ(m) | Recursive Resolution Time | 𝕋 | time required to recursively resolve structure of mass m within computational substrate 1 other reading | 5 |
| 𝒢 | Gravitational Constant fundamental | 𝕄⁻¹·𝕃³·𝕋⁻² | gravitational constant 1 other reading | 5 |
| 𝒢(ℨ) | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | Base unified gravitational constant 2 other readings | 5 |
| ↁℹ⟫⟪ | Data information at boundary coupling interfaces | 1ᵇ | Data information at boundary coupling interfaces 1 other reading | 5 |
| ⋈⟫⟪ | Boundary coupling tension | 𝕄·𝕃²·𝕋⁻² | Boundary coupling tension | 5 |
| θ | Theta | [∅] | polar angle coordinate 3 other readings | 5 |
| μ | Mu | [∅] | the energy at which it is measured 4 other readings | 5 |
| ω | Omega | 𝕋⁻¹ | angular frequency of the transitions 1 other reading | 5 |
| λ | Lambda | [∅] | self-interaction coupling 3 other readings | 5 |
| χ_∂ | not in the calculator | 1ᵇ | containment threshold in capacity units: the holographic capacity of the containing skin (Bifold Containment Law) 3 other readings | 5 |
| λ⟲ | not in the calculator | ∅ | the spin parameter, about 0.035 for the clumps of our universe, with a spread of about a factor of two (Bullock et al., 2001) 4 other readings | 5 |
| N◍ | not in the calculator | ∅ | the bits of data in it that never resolved into matter 4 other readings | 5 |
| M≡ | not in the calculator | 𝕄 | the Ascendant Mass 1 other reading | 5 |
| f₁ | not in the calculator | 𝕋⁻¹ | the fundamental, one over a universe's Pulse Tempo (Part 4.9) 4 other readings | 5 |
| ①⊕ | Pulse Diameter fundamental | 𝕃 | Pulse Diameter | 4 |
| ⊕ | not in the calculator | ∅ | Memory fusion operator 2 other readings | 4 |
| ∀ | For All | [∅] | universal quantifier (for all) 1 other reading | 4 |
| ⚚ | Universe Harmonic fundamental | ∅ | harmonic scaling symbol 2 other readings | 4 |
| τ★ | Substrate Tile Duration | 𝕋 | substrate temporal quantum at Level 0 2 other readings | 4 |
| χ★ | Near-collapse safety factor with χ★ ∈ (0 | ∅ | dimensionless safety factor 1 other reading | 4 |
| 2.36 × 10⁶² | not in the calculator | ∅ | total scaling factor for our universe 2 other readings | 4 |
| ↁ▣ | Data Bit | ℨ·ↁ·𝔸·1ᵇ | Data Bit | 4 |
| ⥣ | Maximum | ∅ | absolute maximum indicator 2 other readings | 4 |
| 🟑⌂(N) | Local Pixel Count (Level N) | ∅ | local visible pixel count at level N 1 other reading | 4 |
| ∆ↁⓘ | Data Information Increment | 1ᵇ | change in data information 1 other reading | 4 |
| χ | Closure Parameter fundamental | ∅ | dimensionless Pulse Closure Parameter | 4 |
| ∆ↁ⇅ | Local Field Density Formulation | 𝕋⁻² | change in local data gravity field density within computational substrate 1 other reading | 4 |
| ∫⫷ | not in the calculator | ∅ | volumetric integration with substrate stacking | 4 |
| H₀ | Hubble Constant | 𝕋⁻¹ | Hubble constant 2 other readings | 4 |
| ⚛⚕ | Pulse Mass-Energy Equivalence | 𝕄·𝕃²·𝕋⁻² | Physical Energy | 4 |
| ⚛ | Physical fundamental | [ℨ·ↁ·𝔸·𝕄·𝕃] | Physical domain indicator 1 other reading | 4 |
| ①○(t) | Pulse computational state at discrete time t within substrat | ∅ | Pulse state at discrete time t within computational substrate 2 other readings | 4 |
| ①○(t | not in the calculator | — | 1) [∅] – Pulse state at previous time step in binary sequence 2 other readings | 4 |
| ℜ₁ | The Prime Recursion | ∅ | Prime recursion 1 other reading | 4 |
| ⧗ | Full Time/Rate/Frequency fundamental | 𝕋 | Pulse Tempo 1 other reading | 4 |
| ≤ | Less Than or Equal | [∅] | less than or equal operator 2 other readings | 4 |
| ⟫⟪ | Interface Coupling/enclosure | ∅ | Interface coupling indicator | 4 |
| r▣ | Causal Influence Boundary | 𝕃 | Computational horizon radius 1 other reading | 4 |
| f₁(ↁρ⟫⟪,ℜ) | Data density-recursive load scaling function | ∅ | Data density-recursive load scaling function from previous section 1 other reading | 4 |
| f₂(ↁℹ⟫⟪,S∅) | Boundary information-entropy scaling function | ∅ | Boundary information-entropy scaling function from previous section 1 other reading | 4 |
| f₃(ↁ⚕⟫⟪,⋈⟫⟪) | Data energy-tension scaling function | ∅ | Data energy-tension scaling function from previous section 1 other reading | 4 |
| ↁ⚕⟫⟪ | Data energy at boundary coupling interfaces | 𝕄·𝕃²·𝕋⁻² | Data energy at boundary coupling interfaces | 4 |
| ↁρ① | Critical Data density threshold | 𝕃⁻³·𝕋⁻¹ | Critical Data density threshold 1 other reading | 4 |
| 𝒢⌂(ℨ) | Baseline gravitational constant at Zinf scale | 𝕄⁻¹·𝕃³·𝕋⁻² | baseline unified gravitational constant at Zinf scale 1 other reading | 4 |
| ε₀ | not in the calculator | ∅ | permittivity constant 2 other readings | 4 |
| ①(ℨ) | not in the calculator | 𝕋 | Pulse entity at Zinf scale (complete computational cycle) 1 other reading | 4 |
| ⧖⌂ | not in the calculator | 𝕋 | Pulse Rhythm at local level 1 other reading | 4 |
| ⟪F⟫ | Boundary interface evolution function | ∅ | boundary interface compression factor 2 other readings | 4 |
| ρ(ℨ) | not in the calculator | 𝕄·𝕃⁻³ | density parameters from null well 2 other readings | 4 |
| E⊚ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | total energy content remaining constant 2 other readings | 4 |
| M☉ | not in the calculator | 𝕄 | the mass of the Sun 1 other reading | 4 |
| ω₁ | Fundamental frequency | 𝕋⁻¹ | fundamental angular pulse frequency, one full cycle per Pulse Tempo: 2π/①⥂⧗⌂ = π/①⥂⧖⌂ 1 other reading | 4 |
| ①⥂⧖⌂ | Local Pulse Rhythm | 𝕋 | Local Pulse Rhythm 1 other reading | 4 |
| (n+1)² | Quadratic amplification term | ∅ | quadratic neighborhood term 1 other reading | 4 |
| ∞ | Infinity | [∅] | infinity symbol 1 other reading | 4 |
| λ_E | not in the calculator | ∅ | the Eddington ratio, the accretion over the Eddington rate 3 other readings | 4 |
| ⟨⟩ | Soft Bounds | ∅ | ensemble average operator 2 other readings | 4 |
| ①⥂⧗'⌂ | Modified Pulse Tempo | 𝕋 | modified Local Pulse Tempo (the emergent Universe's Planck time) 3 other readings | 4 |
| ₀ | not in the calculator | 𝕋 | integration lower limit 1 other reading | 4 |
| ρℜ | not in the calculator | 𝕄·𝕃⁻³ | recursive density accumulation 1 other reading | 4 |
| ① [ℨ] Universe | not in the calculator | ℨ | level computational entity operating at Zinf quantum scale. | 3 |
| P₀ | Substrate full pulse | 𝕋 | substrate full pulse 1 other reading | 3 |
| ⛮ | Toggle | ∅ | Toggle duality symbol (equivalent representation of Pulse State Data) 1 other reading | 3 |
| R★ | Substrate spatial quantum at Level 0 | 𝕃 | substrate spatial quantum at Level 0 1 other reading | 3 |
| fⁿ | not in the calculator | ∅ | null-well heritage across n levels, f = 1.018 per level 1 other reading | 3 |
| ℨ⚛ | Zinf Mass Quantum | 𝕄 | ℨinf mass unit 1 other reading | 3 |
| 2.283 × 10⁻¹⁰⁶ | not in the calculator | 𝕋 | approximate numerical value in seconds 2 other readings | 3 |
| Nℨ | Computational Density Relationship | ∅ | count of Zinf operations per Pulse Tempo 2 other readings | 3 |
| |1⟩ | not in the calculator | ∅ | Zinf-pixel active state 2 other readings | 3 |
| ▣ | Bit fundamental | ℨ·ↁ·𝔸·1ᵇ | Data bit computational parameter indicator 1 other reading | 3 |
| ↁ⚕☫ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | UniSphereal Data Energy | 3 |
| ↁ⚕⌂ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | Local Data Energy | 3 |
| 🟑 | Zinf Spatial Pixel (short) fundamental | 𝕃 | fundamental pixel size constant across all Universe levels 1 other reading | 3 |
| ℓ_P | not in the calculator | 𝕃 | the Planck length, so Λ ℓ_P² ≈ 2.9 × 10⁻¹²² 1 other reading | 3 |
| ∅ is Pre | not in the calculator | — | Pulse Field 1 other reading | 3 |
| ↁ𝓜(n) | Historical State Vector | ∅ | Data Memory structure at level n within substrate architecture 2 other readings | 3 |
| ℜ⫷(n) | Pulse Recursive Depth Scaling | ∅ | recursive depth scaling at level n | 3 |
| ⥂(n) | Folding Mechanism | ∅ | UniSphereal Pulse Period 2 other readings | 3 |
| ↁ⚕⥂ | Pulse Energy Quantum | 𝕄·𝕃²·𝕋⁻² | Pulse Rate Data energy 1 other reading | 3 |
| ℜ⨶(ℨ) | not in the calculator | 𝕄·𝕃⁻¹·𝕋⁻² | Zinf-scaled Critical Recursion threshold 1 other reading | 3 |
| ↁ⚕⟨(n,ℨ) | Genesis Data Energy at harmonic level n with Zinf scaling | 𝕄·𝕃²·𝕋⁻² | Genesis Data Energy at harmonic level n with Zinf scaling | 3 |
| ℏ' | Modified Planck constant | 𝕄·𝕃²·𝕋⁻¹ | modified Planck constant in emergent universe 1 other reading | 3 |
| λ(ℨ) | Exponential growth rate at Zinf scale | 𝕋⁻¹ | exponential growth rate at Zinf scale 1 other reading | 3 |
| ∇ | Nabla (Del) | [∅] | gradient operator 1 other reading | 3 |
| ↁℹ∂(V,ℨ) | Zinf-scaled Data Information at boundary | ∅ | boundary information per null well, the surface integral above 1 other reading | 3 |
| ↁρ①(ℨ) | not in the calculator | 𝕃⁻³·𝕋⁻¹ | Critical Data density 1 other reading | 3 |
| V∅(ℨ) | Null well volume at Zinf scale | 𝕃³ | null well volume at Zinf scale 1 other reading | 3 |
| 𝒞→'(ℨ) | not in the calculator | 𝕃·𝕋⁻¹ | Modified unified light speed 1 other reading | 3 |
| 𝒢'(ℨ) | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | Modified unified gravitational constant 1 other reading | 3 |
| ℏ'(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻¹ | Modified unified quantum action constant 1 other reading | 3 |
| α(ↁρ⟫,ℨ) | not in the calculator | ∅ | Collapse density scaling function 1 other reading | 3 |
| δ(S∅,ℨ) | not in the calculator | ∅ | Entropy scaling function 1 other reading | 3 |
| ℜ⨶ | Recursive capacity threshold | ∅ | Recursive capacity threshold | 3 |
| ⧖⌂(ℨ) | Local Pulse Rhythm at harmonic level 202 | 𝕋 | Local Pulse Rhythm at harmonic level 202 1 other reading | 3 |
| α' | UniSpheral Fine Structure Constant | ∅ | density-modified fine structure constant 1 other reading | 3 |
| a₀ | Baseline Bohr radius | 𝕃 | baseline Bohr radius 1 other reading | 3 |
| ⧖(ℨ) | Reference Pulse Rhythm at Zinf scale | 𝕋 | Pulse Rhythm at Zinf scale (fundamental architectural constant) 1 other reading | 3 |
| ↁ⧖'⌂(ℨ) | not in the calculator | 𝕋 | density-modified Data Pulse Rhythm at Zinf scale | 3 |
| ↁ⧖⌂(ℨ) | not in the calculator | 𝕋 | baseline Data Pulse Rhythm at Zinf scale | 3 |
| ⚛ρ | not in the calculator | 𝕄·𝕃⁻³ | local Physical density | 3 |
| ⚛ρ⌂ | not in the calculator | 𝕄·𝕃⁻³ | baseline Physical density at local level | 3 |
| ↁ⧖⌂(ℨ)/ↁ⧖'⌂(ℨ) | not in the calculator | ∅ | Data domain Pulse Rhythm rate ratio at Zinf scale, equal to the Physical ratio (the Rhythm is half the Tempo) 1 other reading | 3 |
| d³x | Differential volume element | 𝕃³ | differential volume element 1 other reading | 3 |
| ⟪⟫ | Boundary Interface Indicator/Enclosure | ∅ | boundary interface indicator | 3 |
| M∅ | Null Mass fundamental | 𝕄 | Null Mass with collapse indicator 2 other readings | 3 |
| ρ_P | not in the calculator | 𝕄·𝕃⁻³ | Planck density, fundamental density scale 1 other reading | 3 |
| a₁(ℨ), a₂(ℨ) | not in the calculator | ∅ | dimensionless spin parameters at Zinf scale | 3 |
| ⟣(ℨ) | Spin-axis alignment factor at Zinf scale | ∅ | spin-axis alignment factor at Zinf scale | 3 |
| θ⧬(ℨ) | Spin axis orientation difference at Zinf scale | ∅ | spin axis orientation difference at Zinf scale 1 other reading | 3 |
| σ | Sigma | [∅] | the speed of the gas's random motion (its sound speed, √(k_B·T/μ·m_H) for a gas at temperature T) 2 other readings | 3 |
| Λ⊗ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | the strong scale: the energy at which the coupling becomes strong and quarks bind 2 other readings | 3 |
| α⚡ | not in the calculator | ∅ | the fine-structure constant 1 other reading | 3 |
| a⊚ | not in the calculator | ∅ | that earlier scale factor 1 other reading | 3 |
| Θ⨶ | not in the calculator | 𝕄·𝕃·𝕋⁻³ | tolerance factor 1 other reading | 3 |
| Ψ◊(t) | Folding state function at time t | ∅ | folding state function at time t | 3 |
| κ | not in the calculator | ∅ | coupling constant 2 other readings | 3 |
| ∫₀ᵗ | not in the calculator | 𝕋 | definite integral operator from 0 to t 1 other reading | 3 |
| Ω | not in the calculator | 𝕋⁻¹ | the skin's angular velocity 2 other readings | 3 |
| ℨᵇ | Zinf Bit fundamental | 1ᵇ | one Zinf bit 1 other reading | 3 |
| P⦰ | not in the calculator | ∅ | probability of failure, where no child is seeded and the data returns to the source without continuing back (≈ 0.06 2 other readings | 3 |
| J⟲ | not in the calculator | 𝕄·𝕃²·𝕋⁻¹ | the clump's angular momentum 1 other reading | 3 |
| Γ◍ | not in the calculator | 𝕋⁻¹ | the return rate of Data Matter 1 other reading | 3 |
| ρ⦵ | not in the calculator | 𝕄·𝕃⁻³ | its density, its energy density divided by c² 2 other readings | 3 |
| Ṁ_w | not in the calculator | 𝕄·𝕋⁻¹ | the well's accretion 2 other readings | 3 |
| ρↁ(t) | Local data density at time t | 𝕃⁻³·1ᵇ | local data density at time t 1 other reading | 3 |
| ℓ_z | One Pixel = One Zinf | 𝕃 | Zinf-limit spatial quantum (minimal boundary cell extent) 1 other reading | 3 |
| α(x,t) | Pulse Resolution Rate | ∅ | pulse resolution rate 1 other reading | 3 |
| α_n | Resolution efficiency at level n | ∅ | resolution efficiency at level n 2 other readings | 3 |
| ∅₀ | Original Zero state | ∅ | Original Zero state 1 other reading | 2 |
| ¬∅ | Logical Negation of Null | ∅ | logical negation of null | 2 |
| τ(k) | not in the calculator | 𝕋 | elapsed time after k whole Zinf cycles | 2 |
| ↁ○ | Pulse State Evolution | ∅ | Pulse State Data (fundamental binary computational state as Data entity) | 2 |
| { ⌜0, ⌞1 } | Binary Toggle | ∅ | Binary toggle set containing both possible positions | 2 |
| ⌜0 | Toggle Off | ∅ | Up toggle position (inactive state, value 0) | 2 |
| ⌞1 | Toggle On | ∅ | Down toggle position (active state, value 1) | 2 |
| ≡ | not in the calculator | ∅ | Equivalence operator | 2 |
| ↁ○(t+⧖) | Next-step Data State | ∅ | Next-step Data State | 2 |
| ↁ○(t) | Current Data State | ∅ | Current Data State | 2 |
| ⛮ ( ) | not in the calculator | ∅ | Toggle operator function | 2 |
| ↁ𝓜(t) | Data Memory at t | ∅ | Data Memory at t | 2 |
| ℜ(n+1) − ℜ(n) | not in the calculator | ∅ | data added by pulse n + 1 | 2 |
| ℜ(n−1) | not in the calculator | ∅ | total data capacity after the previous pulse | 2 |
| 2ⁱ | not in the calculator | ∅ | exponential weighting factor 1 other reading | 2 |
| ★ | not in the calculator | ∅ | substrate level indicator | 2 |
| s▱ | Continuum Scale Factor | ∅ | continuum scale factor 1 other reading | 2 |
| n↯ | The pulse of the final well | ∅ | completed Pulse Tempos of the universe, full 0 → 1 → 0 cycles rather than single flips, at the moment it ruptures and seeds its children | 2 |
| L₀ | Zinf Pulse Length | 𝕃 | substrate half-step length 1 other reading | 2 |
| △⊶ | not in the calculator | ∅ | transition outcome 1 other reading | 2 |
| f²⁰² | not in the calculator | ∅ | the null-well heritage over 202 levels (≈ 36.7) 1 other reading | 2 |
| ℨ⦜ | Zinf Length Quantum | 𝕃 | ℨinf length unit | 2 |
| ℨ⚕ | ℨinf Energy | 𝕄·𝕃²·𝕋⁻² | ℨinf energy unit 1 other reading | 2 |
| ℨa | Zinf Acceleration | 𝕃·𝕋⁻² | substrate acceleration 1 other reading | 2 |
| ℨ↻ | Zinf Spin Quantum | 𝕄·𝕃²·𝕋⁻¹ | ℨinf spin quantum 1 other reading | 2 |
| ℨJ | Zinf Angular Momentum | 𝕄·𝕃²·𝕋⁻¹ | angular momentum available to one substrate pulse, built from the physical dimensions alone 1 other reading | 2 |
| ⯴ | Harmonic Amplifier | 𝕋⁻¹ | Local Harmonic Amplifier 1 other reading | 2 |
| ⚚ℨ | Harmonic Zinf | ℨ | Harmonic Zinf | 2 |
| ⯴_t | Temporal Harmonic Amplifier | 𝕋⁻¹ | Temporal Harmonic Amplifier | 2 |
| 2^L · f^L | not in the calculator | ∅ | Binary scaling factor | 2 |
| ⯴_s | Spatial Harmonic Amplifier | 𝕃⁻¹ | Spatial Harmonic Amplifier | 2 |
| 5.39 × 10⁻⁴⁴ | not in the calculator | 𝕋 | approximate numerical value in seconds (Planck time) 1 other reading | 2 |
| |0⟩ | not in the calculator | ∅ | Zinf-pixel inactive state 1 other reading | 2 |
| 1/⥂⌂ | not in the calculator | 𝕋⁻¹ | Local frame rate ≈ 1.855 × 10⁴³ Hz 1 other reading | 2 |
| 🟑ℨ³ | Fundamental spatial volume element based on Zinf pixel archi | 𝕃³ | fundamental spatial volume element based on Zinf pixel architecture | 2 |
| ♆ | Power | 𝕄·𝕃²·𝕋⁻³ | Power symbol | 2 |
| κ_z | Safety factor ensuring stable discretization | ∅ | Zinf coupling constant 1 other reading | 2 |
| 🟑⌂(202) | The Local Pixel Count at our level | ∅ | the Local Pixel Count at our level, L = 202 from the Rupture Rule (Part 1.6) | 2 |
| S◎ = 3π / (Λ ℓ_P²) | not in the calculator | ∅ | the entropy of the cosmological horizon in nats, the Gibbons–Hawking entropy of de Sitter space: S = A / (4 ℓ_P²) counts nats, one nat (1/ln 2 bits) per 4 ℓ_P² of horizon area (Bekenstein, 1973 | 2 |
| Λ ≈ 1.1 × 10⁻⁵² m⁻² | not in the calculator | 𝕃⁻² | the cosmological constant (Planck Collaboration, 2020) | 2 |
| 𝓕⟳(N) | not in the calculator | 𝕋⁻¹ | local frame rate at harmonic level N | 2 |
| ⧖(N) | Local Pulse Rhythm (Level N) | 𝕋 | local Pulse Rhythm at harmonic level N within computational substrate | 2 |
| L⚚⌂(N) | Harmonic View Size (Level N) | 𝕃 | apparent Universe size at harmonic level N within computational substrate | 2 |
| ∆ↁS | Change in data entropy | ∅ | change in data entropy | 2 |
| φ₁ | Phase of first Pulse system in harmonic layer | ∅ | phase of first Pulse system in harmonic layer 1 other reading | 2 |
| φ₂ | Phase of second Pulse system in harmonic layer | ∅ | phase of second Pulse system in harmonic layer 1 other reading | 2 |
| Δφ | Phase difference calculated as φ₂ - φ₁ | ∅ | phase difference calculated as φ₂ - φ₁ 1 other reading | 2 |
| Ψ₁(n) | Prime Pulse state at sequence index n within computational s | ∅ | Prime Pulse state at sequence index n within computational substrate | 2 |
| Ψ₁(n+1) | Subsequent Prime Pulse state incorporating historical accumu | ∅ | subsequent Prime Pulse state incorporating historical accumulation 1 other reading | 2 |
| ∆ↁ⇅(⨀) | Global Integrated Field Strength | 𝕋⁻² | global Data Gravity field strength | 2 |
| ①⥂⦜⌂ | Local Pulse Length | 𝕃 | the Pulse Length, the distance of one full cycle, 2·①⊕⌂ 1 other reading | 2 |
| ↁ⚕ | Data Energy fundamental | 𝕄·𝕃²·𝕋⁻² | Data Energy | 2 |
| 𝒞→⧖ | Data Computational Velocity | 𝕃·𝕋⁻¹ | Time Crystal velocity | 2 |
| ⥂ | Pulse Value fundamental | ℨ·ↁ·2ᵇ | Pulse Rate scale indicator 1 other reading | 2 |
| 6.0 × 10⁸ m/s | not in the calculator | 𝕃·𝕋⁻¹ | Data processing velocity (2𝒞→) at substrate Rhythm scale | 2 |
| 3.6 × 10¹⁷ J/kg | not in the calculator | 𝕃²·𝕋⁻² | Data Energy conversion factor | 2 |
| ①○(0) = 0 | not in the calculator | ∅ | initial condition starting from ground state | 2 |
| ①₁ | Prime Pulse | ∅ | Prime Pulse | 2 |
| ↁ𝓜(①₁) | Memory Encoding | ∅ | Data Memory encoding of the Prime Pulse 1 other reading | 2 |
| 𝒞(①₁) | Causal influence function of the Prime Pulse | ∅ | Causal influence function of the Prime Pulse 1 other reading | 2 |
| ☫⧱ | UniSpheral coupling transformation function | ∅ | UniSpheral coupling transformation function 1 other reading | 2 |
| ⌘ | not in the calculator | ∅ | Data Looping | 2 |
| ∪ | Union | [∅] | set union operator combining memory components 1 other reading | 2 |
| ℜ(i) | Recursive state at level i | ∅ | recursive state at level i 1 other reading | 2 |
| 𝒞(i) | Connectivity Coefficient | ∅ | connectivity coefficient at level i | 2 |
| ℂ(n) | Pulse Complexity Measure | ∅ | computational complexity at level n 1 other reading | 2 |
| ⇄(n) | Feedback State | ∅ | feedback state at iteration n | 2 |
| (0 ↔ 1) | not in the calculator | ∅ | binary oscillation | 2 |
| ↁ𝓜(n,ℨ) | Infinite Recursive State Memory | ∅ | Zinf-scaled Data Memory at level n | 2 |
| ⋃ᵢ₌₀ⁿ | not in the calculator | ∅ | union operator from i=0 to n | 2 |
| ①(i,ℨ) | Zinf-scaled Pulse state at level i | ∅ | Zinf-scaled Pulse state at level i | 2 |
| ℜ(i,ℨ) | Zinf-scaled Recursive state at level i | ∅ | Zinf-scaled Recursive state at level i | 2 |
| ↁ𝓗(i,ℨ) | Zinf-scaled Data Historical state at level i | ∅ | Zinf-scaled Data Historical state at level i | 2 |
| ∅▱ | Zero Substrate state | ∅ | substrate nullity 1 other reading | 2 |
| ∅⁰ | not in the calculator | ∅ | Original Nullity | 2 |
| ⁰ | not in the calculator | ∅ | original superscript | 2 |
| ᵈ | not in the calculator | ∅ | derivative superscript 1 other reading | 2 |
| Δ⧖ | Pulse Physical Process Quantization | 𝕋 | quantized time interval 1 other reading | 2 |
| ↁρ(ℨ) | not in the calculator | 𝕃⁻³·𝕋⁻¹ | Zinf-scaled Data Density | 2 |
| × | Multiplication | [∅] | multiplication operator | 2 |
| ⟨ | not in the calculator | ∅ | genesis indicator | 2 |
| ⋈⟨(τ,x,n,ℨ) | Accumulated Tension at time τ | 𝕄·𝕃⁻¹·𝕋⁻² | Accumulated Tension at time τ, position x, harmonic level n, with Zinf scaling | 2 |
| ⋈⟨₀(n,ℨ) | Initial Tension at harmonic level n with Zinf scaling | 𝕄·𝕃⁻¹·𝕋⁻² | Initial Tension at harmonic level n with Zinf scaling | 2 |
| ∫₀τ | not in the calculator | ∅ | definite integral from 0 to τ | 2 |
| σ▱(s,x,n,ℨ) | Substrate Stress at time s | 𝕄·𝕃⁻¹·𝕋⁻² | Substrate Stress at time s, position x, harmonic level n, with Zinf scaling | 2 |
| ⋈⟨(τ⨶(x,n,ℨ),x,n,ℨ) | Accumulated Tension at critical time with full parametric sc | 𝕄·𝕃²·𝕋⁻² | Accumulated Tension at critical time with full parametric scaling | 2 |
| τ⨶(x,n,ℨ) | not in the calculator | ⧖ | critical threshold time at position x, harmonic level n, with Zinf scaling | 2 |
| ℜ◉(x,n,ℨ) | Recursive Dimensional capacity at position x | ∅ | Recursive Dimensional capacity at position x, harmonic level n, with Zinf scaling | 2 |
| ☐⟨(x,n,ℨ) | Genesis Space domain at position x | ∅ | Genesis Space domain at position x, harmonic level n, with Zinf scaling | 2 |
| ①⟨(x,n,ℨ) | Genesis Pulse at position x | ∅ | Genesis Pulse at position x, harmonic level n, with Zinf scaling | 2 |
| ⧗' | not in the calculator | 𝕋 | scaled Pulse Tempo (Planck time) in emergent universe | 2 |
| 𝒢' | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | altered gravitational constant in emergent universe | 2 |
| γ(ℨ) | Zinf-scaled temporal decay coefficient | 𝕋⁻¹ | Zinf-scaled temporal decay coefficient 1 other reading | 2 |
| ∂ | Partial Derivative | [∅] | boundary operator 1 other reading | 2 |
| ℜ_U(L) | not in the calculator | ∅ | UniSphere capacity at level L, 2^L (Two-Sided Growth (G), Chapter 1 Part D) | 2 |
| τ⟫(ℨ) | not in the calculator | ⧖ | Zinf-scaled closure time | 2 |
| ☫⥂⁻¹ | not in the calculator | ⧖ | UniSphereal Pulse Period | 2 |
| ⁻¹ | Exponentiation (Inverse) | [∅] | inverse operator | 2 |
| ↁρ⟫(ℨ) | not in the calculator | 𝕃⁻³·𝕋⁻¹ | Data collapse density | 2 |
| β(ↁℹ⟫⟪,ℨ) | not in the calculator | ∅ | Boundary Data scaling function | 2 |
| ↁℹ⟫⟪(ℨ) | not in the calculator | 1ᵇ | Data interface coupling information | 2 |
| ↁℹ⥂(ℨ) | not in the calculator | 1ᵇ | Pulse Rate information | 2 |
| γ(⋈⟫⟪,ℨ) | not in the calculator | ∅ | Boundary tension scaling function | 2 |
| ⋈⟫⟪(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻² | Boundary coupling tension | 2 |
| ⋈⥂(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻² | Pulse Rate tension | 2 |
| S⥂(ℨ) | not in the calculator | ∅ | Pulse Rate entropy | 2 |
| S∅(ℨ) | not in the calculator | ∅ | Collapse entropy | 2 |
| ①○⨶ | Minimum sustainable Pulse computational activity threshold | ∅ | Minimum sustainable Pulse computational activity threshold 1 other reading | 2 |
| λ▣ | Computational decay length | 𝕃 | Computational decay length | 2 |
| ⫷⟫⟪ | not in the calculator | ∅ | Volumetric stacking operator across interface coupling boundaries | 2 |
| ↁℹ⥂ | Pulse Rate characteristic information | 1ᵇ | Pulse Rate characteristic information | 2 |
| S⥂ | Pulse Rate entropy | ∅ | Pulse Rate entropy | 2 |
| ⋈⥂ | Pulse Rate tension | 𝕄·𝕃²·𝕋⁻² | Pulse Rate tension | 2 |
| α, β, δ, ε, ζ | not in the calculator | ∅ | Inheritance exponents determining parameter modification strength | 2 |
| ⧖'⌂(ℨ) | Modified local Pulse Rhythm | 𝕋 | Modified local Pulse Rhythm | 2 |
| ⧗'⌂(ℨ) | Density-Modified 2D Layer Crystal | 𝕋 | Modified local 2D layer crystal | 2 |
| f▣(ↁρ⟫⟪) | not in the calculator | ∅ | Data density scaling function using computational parameter indicator | 2 |
| ↁℹ̇'⌂(ℨ) | not in the calculator | 1ᵇ·𝕋⁻¹ | density-modified Data information propagation rate | 2 |
| ↁℹ̇⌂(ℨ) | not in the calculator | 1ᵇ·𝕋⁻¹ | baseline Data information propagation rate | 2 |
| g₁(ↁρ⟫⟪) | not in the calculator | ∅ | quantum action density modification function | 2 |
| g₂(ↁρ⟫⟪) | not in the calculator | ∅ | gravitational coupling density modification function | 2 |
| g₃(ↁρ⟫⟪) | not in the calculator | ∅ | propagation rate density modification function | 2 |
| ⧗'⌂ | not in the calculator | 𝕋 | density-modified local Pulse Tempo (Planck time) | 2 |
| g₁(ρ) | not in the calculator | ∅ | quantum action density scaling function | 2 |
| g₂(ρ) | not in the calculator | ∅ | gravitational coupling density scaling function | 2 |
| g₃(ρ) | not in the calculator | ∅ | light speed density scaling function | 2 |
| ρ⌂ | not in the calculator | 𝕄·𝕃⁻³ | critical density reference scale at local level | 2 |
| λ'_C | Compton Wavelength | 𝕃 | density-modified Compton wavelength | 2 |
| m'⌂ | Density-modified particle mass at local level | 𝕄 | density-modified particle mass at local level | 2 |
| a'₀ | Bohr Radius | 𝕃 | density-modified Bohr radius | 2 |
| ⥂⚕ | Electric current energy coupling | 𝕄·𝕃²·𝕋⁻² | electric current energy coupling | 2 |
| λ_C | Baseline Compton wavelength | 𝕃 | baseline Compton wavelength | 2 |
| ↕⚕' | UniSpheral Gravitational Coupling | ∅ | density-modified gravitational energy coupling | 2 |
| ↕⚕ | Baseline gravitational energy coupling | ∅ | baseline gravitational energy coupling | 2 |
| ⚛①⌂ | Physical domain Pulse Rate at local level (complete cycle) | 𝕋 | Physical domain Pulse Rate at local level (complete cycle) | 2 |
| ↁ⧖⌂ | Data domain Pulse Rhythm at local level (half-cycle operatio | 𝕋 | Data domain Pulse Rhythm at local level (half-cycle operation) | 2 |
| ①⌂ | Pulse entity at local level | 𝕋 | Pulse entity at local level | 2 |
| f(⧖⌂⁻¹) | Function of inverse Pulse Rhythm at local level | ∅ | function of inverse Pulse Rhythm at local level | 2 |
| f(⧖⌂) | Function of Pulse Rhythm at local level | ∅ | function of Pulse Rhythm at local level | 2 |
| 10³, 32, 1.0, 0.03, 10⁻³ | not in the calculator | ∅ | Physical domain rate ratios, (⚛ρ/⚛ρ⌂)^½: they rise with density 1 other reading | 2 |
| ⚛⥂'⌂(ℨ) | not in the calculator | 𝕋 | density-modified Physical Pulse Rate at Zinf scale | 2 |
| ⚛⥂⌂(ℨ) | not in the calculator | 𝕋 | baseline Physical Pulse Rate at Zinf scale | 2 |
| ℜ𝐌∅⌂(ℨ) | not in the calculator | 𝕄 | UniSpheral Null Mass at Zinf scale with collapse indicator | 2 |
| ∫𝐕 | not in the calculator | 𝕃³ | volume integration over collapse region | 2 |
| ℜ(x,⟫∅) | not in the calculator | 𝕄·𝕃⁻¹·𝕋⁻² | recursive tension density at closure, an energy density like its two neighbors | 2 |
| ⦚⦚⚕(x,⟫∅) | not in the calculator | 𝕄·𝕃⁻¹·𝕋⁻² | kinetic energy density of the collapsing matter at closure | 2 |
| ⚝⚕(x,⟫∅) | not in the calculator | 𝕄·𝕃⁻¹·𝕋⁻² | gravitational potential energy density at closure (negative: binding lowers the mass) | 2 |
| ⟫∅ | not in the calculator | 𝕋 | collapse closure time, the moment the mass is counted | 2 |
| N⥣(ℨ) | UniSpheral Recursive Pulse Capacity | ∅ | maximum recursive pulse count at Zinf scale | 2 |
| S⥣(ℨ) | not in the calculator | ∅ | maximum entropy parameter at Zinf scale | 2 |
| S⥤(ℨ) | not in the calculator | ∅ | minimum entropy parameter at Zinf scale | 2 |
| ⥤ | not in the calculator | ∅ | absolute minimum indicator | 2 |
| M∅⌂/M⌂ | not in the calculator | ∅ | Null Mass to critical mass ratio at local level | 2 |
| ⚛⥂⌂(ℨ)/⚛⥂'⌂(ℨ) | not in the calculator | ∅ | Physical domain Pulse Rate ratio at Zinf scale: the child's rate over the baseline rate, (M∅⌂/M⌂)^(−½), since ①⥂⧗'⌂ = ①⥂⧗⌂·(M∅⌂/M⌂)^½ (a heavier well pulses its child slower) | 2 |
| M∅⌂ | not in the calculator | 𝕄 | UniSpheral Null Mass at local level | 2 |
| M⌂ | not in the calculator | 𝕄 | critical mass reference at local level | 2 |
| S∅(ℨ)(x,⧖) | Null state at position x and Pulse Rhythm ⧖ at Zinf scale | ∅ | null state at position x and Pulse Rhythm ⧖ at Zinf scale | 2 |
| ⋈(ℨ)(⧖) | Boundary tension at Pulse Rhythm ⧖ at Zinf scale | 𝕄·𝕃²·𝕋⁻² | boundary tension at Pulse Rhythm ⧖ at Zinf scale | 2 |
| ⋈∅(ℨ) | Initial tension at Zinf scale | 𝕄·𝕃²·𝕋⁻² | initial tension at Zinf scale | 2 |
| ⧖⨶(ℨ) | Critical Pulse Rhythm at Zinf scale | 𝕋 | critical Pulse Rhythm at Zinf scale | 2 |
| ⋈⟪⟫(ℨ) | Genesis threshold tension at Zinf scale | 𝕄·𝕃²·𝕋⁻² | genesis threshold tension at Zinf scale | 2 |
| ℜρ(ℨ) | Binary activation state at Zinf scale | ∅ | binary activation state at Zinf scale | 2 |
| ☉(ℨ)(⧖) | Computational volume at Pulse Rhythm ⧖ at Zinf scale | 𝕃³ | computational volume at Pulse Rhythm ⧖ at Zinf scale | 2 |
| ☉∅(ℨ) | Initial volume at Zinf scale | 𝕃³ | initial volume at Zinf scale | 2 |
| ⚚(ℨ) | Modified expansion rate at Zinf scale | 𝕋⁻¹ | modified expansion rate at Zinf scale | 2 |
| ∂²S(ℨ)/∂⧖² | Second temporal derivative of state function at Zinf scale | 𝕋⁻² | second temporal derivative of state function at Zinf scale | 2 |
| S(ℨ) | State function at Zinf scale | ∅ | state function at Zinf scale | 2 |
| |_⧖=∅ | not in the calculator | ∅ | evaluation at initial null time | 2 |
| δ(ℨ) | Dirac delta function at Zinf scale | 𝕄⁻¹·𝕋⁻² | collapse curvature per unit of mass excess at Zinf scale | 2 |
| A∅(ℨ) | Initial pulse amplitude at Zinf scale | ∅ | initial pulse amplitude at Zinf scale | 2 |
| ⚚'(ℨ) | UniSpheral Expansion Rate | 𝕋⁻¹ | expansion rate at Zinf scale | 2 |
| r∅(ℨ) | Null Well radius at Zinf scale | 𝕃 | Null Well radius at Zinf scale | 2 |
| ⊕(ℨ) | not in the calculator | 𝕃 | emergent Pulse Diameter at Zinf scale (fundamental spatial quantum) 1 other reading | 2 |
| ⚛⚕total(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻² | total Physical energy at Zinf scale | 2 |
| d/d⧖ | not in the calculator | 𝕋⁻¹ | derivative with respect to Pulse Rhythm | 2 |
| ↁS(ℨ) | not in the calculator | ∅ | Data entropy at Zinf scale | 2 |
| ℜL(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻² | recursive Lagrangian at Zinf scale | 2 |
| ↁℹ︎total(ℨ) | not in the calculator | ∅ | total Data information content at Zinf scale | 2 |
| ↁℹ︎M∅(ℨ) | not in the calculator | ∅ | Data information content of Null Mass at Zinf scale | 2 |
| ↁℹ︎ℜ(ℨ) | not in the calculator | ∅ | recursive structural Data information at Zinf scale | 2 |
| ℹ︎ | not in the calculator | ∅ | information symbol | 2 |
| ⧖⟫(ℨ) | Critical closure Pulse Rhythm at Zinf scale | 𝕋 | cycle completion Pulse Rhythm at Zinf scale 1 other reading | 2 |
| dτ/dτ⌂ | not in the calculator | ∅ | time dilation ratio approaching zero, proper time appearing to freeze | 2 |
| ν⥂ | Local Oscillation Frequency | 𝕋⁻¹ | pulse frequency approaching zero, oscillation cessation | 2 |
| 𝒞→⊹ | Causal Propagation | 𝕃·𝕋⁻¹ | effective speed of light becoming zero, physical signal halt | 2 |
| g_μν | Metric Collapse | ∅ | spacetime metric tensor approaching zero, metric degeneracy | 2 |
| S⊚▷ | not in the calculator | ∅ | total entropy after collapse | 2 |
| S⊚◁ | not in the calculator | ∅ | total entropy before collapse | 2 |
| dτ | not in the calculator | 𝕋 | proper time differential | 2 |
| S⥣ | not in the calculator | ∅ | maximum entropy | 2 |
| τ_c | not in the calculator | 𝕋 | collapse time, critical temporal threshold 1 other reading | 2 |
| N▣ | Total binary information content preserved through collapse | ∅ | total binary information content preserved through collapse 1 other reading | 2 |
| r∅ | Null Well Radius | 𝕃 | Null Well radius | 2 |
| I◫ | Surface Information Integral | 1ᵇ | total surface information content, in Zinf bits 1 other reading | 2 |
| Π | Pi (Uppercase) | [∅] | projection operator mapping volume to surface information 1 other reading | 2 |
| d³r | Volume element in spherical coordinates | 𝕃³ | volume element in spherical coordinates 1 other reading | 2 |
| 0∅ | not in the calculator | ∅ | null state representation | 2 |
| 1⇌ | not in the calculator | ∅ | genesis state representation | 2 |
| ⊕(ℨ)(n) | Pulse Diameter Variability | 𝕃 | Pulse Diameter at recursion level n at Zinf scale | 2 |
| 2²⁰² × f₀²⁰² | not in the calculator | ∅ | harmonic scaling with baseline null-well heritage at level 202 (2²⁰² ≈ 6.43 × 10⁶⁰, f₀²⁰² ≈ 39.5 | 2 |
| ⟐(ℨ) | Collapse class mass at Zinf scale | 𝕄 | collapse class mass at Zinf scale | 2 |
| ⧬(ℨ) | Merger configuration parameters at Zinf scale | ∅ | merger configuration parameters at Zinf scale | 2 |
| ⟢(ℨ)(M⊚(ℨ)) | Mass-sum curvature term at Zinf scale | ∅ | mass-sum curvature term at Zinf scale | 2 |
| M⊚(ℨ) | Total merger mass at Zinf scale | 𝕄 | total merger mass at Zinf scale | 2 |
| κ☤(ℨ) | Coupling parameter for spin effects at Zinf scale | ∅ | coupling parameter for spin effects at Zinf scale | 2 |
| κ⟣(ℨ) | Coupling parameter for alignment effects at Zinf scale | ∅ | coupling parameter for alignment effects at Zinf scale | 2 |
| sin² | Squared sine function | ∅ | squared sine function | 2 |
| ⟴ | Origin Connector | ℨ | origin connector (formation channel/genesis point parameter) 1 other reading | 2 |
| ⊕⌂(n) | not in the calculator | 𝕃 | Pulse Diameter at harmonic level n with complete heritage | 2 |
| f(...)ⁿ | not in the calculator | ∅ | null well function raised to harmonic level power (exponential amplification) | 2 |
| f(...)²⁰² | not in the calculator | ∅ | exponentially amplified heritage function through harmonic levels (≈ 36.7) | 2 |
| 2.36 × 10⁶² ↁℨ⧖ | not in the calculator | ℨ | standard exponential Zinf notation, in Zinf data rhythms (ↁℨ⧖ = ℨ/2) | 2 |
| 37 ☾ℨ | not in the calculator | ℨ | Cosmic Sphereal Zinf notation (☾ℨ = 3.16 × 10⁶⁰ ℨ) | 2 |
| N⚛ | not in the calculator | ∅ | the number of bits whose energy equals one hydrogen atom's rest energy 1 other reading | 2 |
| M⋆ | not in the calculator | 𝕄 | the Stellar Mass Unit, ≈ 3.7 × 10³⁰ kg ≈ 1.85 M☉ in our universe 1 other reading | 2 |
| τ⊛ | not in the calculator | 𝕋 | the time a star spends fusing hydrogen in its core, most of its life 1 other reading | 2 |
| M▣ | not in the calculator | 𝕄 | the mass of the collapsed core when the star dies 1 other reading | 2 |
| α⊗ | not in the calculator | ∅ | the strong coupling measured at energy μ 1 other reading | 2 |
| b⊗ | not in the calculator | ∅ | the running rate, 11 − 2n/3 for n kinds of quark light enough to take part 1 other reading | 2 |
| E⊶ | Data Energy Transition | 𝕄·𝕃²·𝕋⁻² | energy generated per binary transition | 2 |
| n○ | not in the calculator | ∅ | occupation number (0 or 1) | 2 |
| ΔE | not in the calculator | 𝕄·𝕃²·𝕋⁻² | change in energy | 2 |
| ΔI | not in the calculator | ∅ | bits written (positive) or removed (negative) | 2 |
| E⊶₁ | Base transition energy = ℏ × ω_fundamental | 𝕄·𝕃²·𝕋⁻² | base transition energy = ℏ × ω₁ | 2 |
| Σ field_tension | not in the calculator | 𝕄·𝕃²·𝕋⁻² | accumulated recursive tension | 2 |
| τ𝓕 | Frame duration parameter | 𝕋 | frame duration parameter | 2 |
| E⊚(T) | Total Data-Energy Accumulation Integral | 𝕄·𝕃⁻¹·𝕋⁻² | total energy accumulation up to time T | 2 |
| ∫₀ᵀ | not in the calculator | 𝕋 | definite integral operator from 0 to T | 2 |
| P⊡ | not in the calculator | ∅ | unit pulse contribution 1 other reading | 2 |
| F⊜ | Tolerance modulator | ∅ | folding amplification factor 1 other reading | 2 |
| ρ▱ | not in the calculator | ∅ | substrate density parameter 1 other reading | 2 |
| T⨶ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | critical threshold tension 1 other reading | 2 |
| S✺ | Data Nova Scale Measurement | ∅ | Nova scale composite measure | 2 |
| 10³ | not in the calculator | ∅ | thousand scale boundary 1 other reading | 2 |
| 10⁶ | not in the calculator | ∅ | million scale boundary 1 other reading | 2 |
| P_∂ | not in the calculator | 𝕄·𝕃⁻¹·𝕋⁻² | pressure of the data within on the skin 1 other reading | 2 |
| n₁ | not in the calculator | ∅ | the Tempo of the Null Nova 1 other reading | 2 |
| ρ_0 | Initial Data Density | 𝕃⁻³·1ᵇ | initial Data Density 1 other reading | 2 |
| λ₀ | Base accumulation rate | 𝕃⁻³·𝕋⁻¹·1ᵇ | base accumulation rate | 2 |
| Φ⟸ | Data Return Flux (G) through black hole funnels | 𝕋⁻¹·1ᵇ | Data Return Flux (G) through black hole funnels 1 other reading | 2 |
| ∇Pℹ | not in the calculator | N/m³ | Data Gravity Gradient | 2 |
| ∇Ψ⇅ | not in the calculator | 𝕃·𝕋⁻² | Data Gravitational Potential Gradient (G) | 2 |
| Σ⟹ | not in the calculator | ∅ | summation operator over all information sources | 2 |
| Jℹ | not in the calculator | bits/(m²·s) | Data Current Density (G) from each source | 2 |
| Φ⬡ | not in the calculator | ∅ | geometric stability factor (≈ 0.8) | 2 |
| P▢ | Child Universe Viability Probability | ∅ | probability that a child universe achieves stable formation 1 other reading | 2 |
| t⊚ | not in the calculator | 𝕋 | the reference time, at which a = 1 1 other reading | 2 |
| T_γ | not in the calculator | Θ | the temperature of the first light now 1 other reading | 2 |
| E⊖ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | its binding energy 1 other reading | 2 |
| R⊘ | not in the calculator | 𝕃 | the scale length of the gas disk 1 other reading | 2 |
| R⊡ | not in the calculator | 𝕃 | the radius of the clump the gas cooled within 1 other reading | 2 |
| η_w | not in the calculator | ∅ | the mass loading: gas blown out per mass of stars formed 1 other reading | 2 |
| ρ_b | not in the calculator | 𝕄·𝕃⁻³ | the density of ordinary matter 1 other reading | 2 |
| ρ⦵′ | not in the calculator | 𝕄·𝕃⁻³·𝕋⁻¹ | the rate at which the Null Vacuum's density grows | 2 |
| κ_ep | not in the calculator | 𝕋⁻¹ | the epicyclic frequency, the rate at which a star pushed off its circle oscillates about it 1 other reading | 2 |
| η | not in the calculator | ∅ | the share of rest energy radiated, about 0.1 1 other reading | 2 |
| Ṁ_T | not in the calculator | 𝕄·𝕋⁻¹ | the inflow 1 other reading | 2 |
| Ṁ_in | not in the calculator | 𝕄·𝕋⁻¹ | the inflow into the site's centre 1 other reading | 2 |
| N≡ | not in the calculator | ∅ | the Ascendant Wells a universe forms 1 other reading | 2 |
| M₀ | not in the calculator | 𝕄 | the seed mass | 2 |
| D⥣ | Dimensional Saturation Threshold | ∅ | maximum physically realizable dimensionality (≈10) | 2 |
| Φ(ρ(t)) | not in the calculator | ∅ | density correction factor, α_ρ × ln(ρ(t)/ρↁ⨶) (Data Density Correction, below) | 2 |
| Ψ(C(t)) | Coherence Stability | ∅ | coherence modifier, β_c × (1 − exp(−C(t)/C₀)) (Coherence Stability, below) | 2 |
| ρ(t) | not in the calculator | 𝕃⁻³·1ᵇ | local data density ρↁ at time t | 2 |
| T⥂(t) | Pulse Frequency Rate | 𝕋⁻¹ | effective pulse frequency at time t | 2 |
| f⥂(t) | not in the calculator | 𝕋⁻¹ | base pulse frequency at time t | 2 |
| η𝓜(t) | not in the calculator | ∅ | retention/efficiency factor for pulse contribution | 2 |
| ρↁ,0 | not in the calculator | 𝕃⁻³·1ᵇ | reference data density | 2 |
| I⊚ | not in the calculator | 1ᵇ | total UniSpheral information 1 other reading | 2 |
| pᵢ | Probability of state i | ∅ | probability of state i 1 other reading | 2 |
| I▱ | Substrate Informational Capacity | 1ᵇ | information stored in the data substrate 1 other reading | 2 |
| Iℜ | Recursive information content | 1ᵇ | information carried by active recursion 1 other reading | 2 |
| ⊂ | Subset | ∅ | subset inclusion operator 1 other reading | 2 |
| L◇² | Characteristic length scale squared | 𝕃² | characteristic length scale squared | 2 |
| ψ▤(r,t) | Bifurcation order parameter at (r | ∅ | bifurcation order parameter at (r,t) 1 other reading | 2 |
| f_ℨ | not in the calculator | 𝕋⁻¹ | the frequency of the Prime Pulse 1 other reading | 2 |
| t⇓ | not in the calculator | 𝕋 | the free-fall time | 2 |
| L⊛ | not in the calculator | 𝕄·𝕃²·𝕋⁻³ | the luminosity of a main-sequence star 1 other reading | 2 |
| σ⊤ | not in the calculator | 𝕃² | the Thomson cross-section of the electron, 6.652 × 10⁻²⁹ m² 1 other reading | 2 |
| Ψ✱ | Ideal quantum state | ∅ | ideal quantum state 1 other reading | 2 |
| Ψ | Actual measured quantum state | ∅ | actual measured quantum state 1 other reading | 2 |
| V⊡ | Overall Validation Score | ∅ | overall validation score | 2 |
| ∏ | Product | [∅] | product operator 1 other reading | 2 |
| f(ρ⦰) | Density scaling function ((ρ_critical/ρ_collapse)^(1/2)) | ∅ | density scaling function ((ρ⨶/ρ⦰)^(1/2)) 1 other reading | 2 |
| ρ⇗⨶ | Dimensional Emergence Conditions | 𝕄·𝕃⁻³ | minimum density for stable emergence | 2 |
| 4π | not in the calculator | ∅ | geometric factor | 2 |
| V[ψ] | not in the calculator | ψ | information potential functional | 2 |
| δV/δψ | First functional derivative of potential with respect to fie | 𝕄·𝕃²·𝕋⁻² | first functional derivative of potential with respect to field 1 other reading | 2 |
| f(ρℜ) | Nonlinear growth function | 𝕄·𝕃⁻³·𝕋⁻¹ | nonlinear growth function 1 other reading | 2 |
| I≍ | Mutual Information Growth | 1ᵇ | correlation (mutual) information, the part of Iℜ held in correlations 1 other reading | 2 |
| Symbol | Name | Dimension | Reading | Uses |
|---|---|---|---|---|
| n | Mathematical Variable N | [∅] | count of completed pulses 43 other readings | 74 |
| t | Mathematical Variable T | 𝕋 | time variable 12 other readings | 67 |
| 0 | not in the calculator | ∅ | unity constant 24 other readings | 47 |
| L | Level fundamental | ∅ | temporal dilation depth 21 other readings | 46 |
| G | Gravitational Constant (Latin spelling) | 𝕄⁻¹·𝕃³·𝕋⁻² | the universe's gravitational coupling 5 other readings | 34 |
| c | Mathematical Variable C | 𝕃·𝕋⁻¹ | light speed 4 other readings | 33 |
| 1 | not in the calculator | ∅ | binary cycle divisor 19 other readings | 31 |
| i | Mathematical Variable I | [∅] | summation index variable 14 other readings | 27 |
| x | Mathematical Variable X | 𝕃 | spatial position parameter 9 other readings | 27 |
| 2 | not in the calculator | ∅ | computational ground state 15 other readings | 23 |
| exp | not in the calculator | ∅ | exponential function 1 other reading | 22 |
| s | Mathematical Variable S | [∅] | universal scaling factor (2^202 × f^202) 10 other readings | 20 |
| M | Mass fundamental | 𝕄 | mass parameter 11 other readings | 20 |
| r | Mathematical Variable R | 𝕃 | spatial coordinate 9 other readings | 19 |
| m | Mathematical Variable M | 𝕄 | mass 8 other readings | 17 |
| ln | not in the calculator | ∅ | natural logarithm function 2 other readings | 15 |
| k_B | Boltzmann Constant fundamental | 𝕄·𝕃²·𝕋⁻²·Θ⁻¹ | the Boltzmann constant 5 other readings | 14 |
| T | Temperature fundamental | Θ | the Pulsecore's temperature 10 other readings | 13 |
| R | not in the calculator | 𝕃 | spatial radius 10 other readings | 12 |
| k | Mathematical Variable K | [∅] | whole Zinf cycle count at substrate 10 other readings | 11 |
| 2^L | not in the calculator | ∅ | total binary dilation 5 other readings | 11 |
| m_p | Planck mass at observation layer (2.176×10⁻⁸ kg) | 𝕄 | the proton mass 6 other readings | 10 |
| N | Count Variable fundamental | ∅ | harmonic level index 2 other readings | 10 |
| H | not in the calculator | ∅ | Heaviside step function 6 other readings | 10 |
| a | Mathematical Variable A | [∅] | the scale factor 5 other readings | 10 |
| V | Volume fundamental | 𝕃³ | collapse region volume 5 other readings | 9 |
| f | Mathematical Variable F | [∅] | net null-well heritage per level 6 other readings | 8 |
| E | Energy fundamental | 𝕄·𝕃²·𝕋⁻² | energy content 4 other readings | 7 |
| A | not in the calculator | ∅ | logarithmic scaling constant 5 other readings | 7 |
| h | Mathematical Variable H | [∅] | the heritage one generation passes on 6 other readings | 7 |
| m_H | not in the calculator | 𝕄 | the hydrogen mass 2 other readings | 7 |
| m_P | not in the calculator | 𝕄 | the Planck mass, √(ħ·c/G) ≈ 2.18 × 10⁻⁸ kg: in this book, the mass of one Pulse at the level (Parts 2.2, 2.5) 6 other readings | 7 |
| t_p | Planck time at observational Layer 202 (≈ 5.391×10⁻⁴⁴ s) | 𝕋 | Planck time at observational Layer 202 (≈ 5.391×10⁻⁴⁴ s) 4 other readings | 6 |
| > | Greater Than | ∅ | greater than operator 2 other readings | 6 |
| e | Mathematical Variable E | [∅] | exponential base 3 other readings | 6 |
| S | Entropy fundamental | ∅ | entropy content of black hole 5 other readings | 6 |
| C(t) | not in the calculator | ∅ | computational complexity factor at time t 2 other readings | 6 |
| D | not in the calculator | ∅ | diffusion coefficient 4 other readings | 6 |
| ln2 | Natural logarithm of 2 | ∅ | natural logarithm of 2 1 other reading | 5 |
| l_p | Planck length at observational Layer 202 (≈ 1.616×10⁻³⁵ m) | 𝕃 | Planck length at observational Layer 202 (≈ 1.616×10⁻³⁵ m) 3 other readings | 5 |
| 3 | not in the calculator | ∅ | our specific harmonic level 2 other readings | 5 |
| sin | not in the calculator | ∅ | sine function 1 other reading | 5 |
| v | Mathematical Variable V | 𝕃·𝕋⁻¹ | its speed 4 other readings | 5 |
| 4 | not in the calculator | ∅ | numerical coefficient, geometric factor 4 other readings | 5 |
| f(...) | not in the calculator | ∅ | null well characteristics function incorporating all formation heritage 2 other readings | 5 |
| N(t) | Is accumulated Pulse events at time t | ∅ | accumulated Pulse events at time t 3 other readings | 5 |
| j | Mathematical Variable J | [∅] | layer index variable 3 other readings | 5 |
| = | Equality Operator | ∅ | Equality operator 1 other reading | 4 |
| 2^N | not in the calculator | ∅ | exponential scaling factor 1 other reading | 4 |
| f^N | not in the calculator | ∅ | null-well heritage across N levels | 4 |
| p | Mathematical Variable P | [∅] | its momentum: p · 𝒞→ is the share of its energy that travels 3 other readings | 4 |
| mod | not in the calculator | ∅ | modulo operation ensuring binary constraint 2 other readings | 4 |
| 5 | not in the calculator | ∅ | numerical coefficient 2 other readings | 4 |
| ds | not in the calculator | ∅ | differential time element | 4 |
| floor | not in the calculator | ∅ | floor function ensuring integer dimensions 2 other readings | 4 |
| Z | not in the calculator | ∅ | the mass fraction of every heavier element, the metallicity: zero at the Physical Nova, ≈ 0.014 in the Sun 3 other readings | 4 |
| F(n) | Folding function result | ∅ | Folding function result 3 other readings | 4 |
| N_b | not in the calculator | ∅ | the data condensed into matter there, counted by the same equivalence 3 other readings | 4 |
| I | not in the calculator | ∅ | information in bits: the count of binary transitions 1 other reading | 3 |
| r_s | Schwarzschild radius | 𝕃 | baseline Schwarzschild radius 1 other reading | 3 |
| 2^(L/3) | not in the calculator | ∅ | the remaining spatial third: capacity is a three-bit volume count, boundary cost is its two-thirds power 1 other reading | 3 |
| 1/2 | not in the calculator | ∅ | square-root exponent on the combined spins 1 other reading | 3 |
| m_e | not in the calculator | 𝕄 | the electron mass 1 other reading | 3 |
| PD | Pulse Diameter (Latin alias of ①⊕) | 𝕃 | pulse diameter 1 other reading | 3 |
| I(t) | not in the calculator | 𝕄·𝕃⁻³·𝕋⁻³ | Data Density rate at time t | 3 |
| max | not in the calculator | ∅ | maximum function | 3 |
| u | Mathematical Variable U | [∅] | energy density of the data within 2 other readings | 3 |
| q | Mathematical Variable Q | [∅] | its place on the even grid it began on 2 other readings | 3 |
| v_c | not in the calculator | 𝕃·𝕋⁻¹ | the speed of a circular orbit in the clump 2 other readings | 3 |
| y_Z | not in the calculator | ∅ | the net metal yield | 3 |
| f_d | not in the calculator | ∅ | the disk share 1 other reading | 3 |
| M_w | not in the calculator | 𝕄 | the well's mass 1 other reading | 3 |
| L_c | not in the calculator | ∅ | the child's level | 3 |
| M_U | not in the calculator | 𝕄 | its whole mass, matter and Data Matter 2 other readings | 3 |
| g | Mathematical Variable G | [∅] | its parent's, counted in bifurcations from the Zinf 2 other readings | 3 |
| G' | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | modified gravitational constant 1 other reading | 3 |
| lim | Limit Function | ∅ | limit operation 1 other reading | 2 |
| A(n) | not in the calculator | ∅ | amplification factor between successive pulses | 2 |
| D(n) | UniSphereal Dimensional Capacity | ∅ | dimensional capacity after n completed pulses 1 other reading | 2 |
| E_p | Planck energy at observation layer (1.956×10⁹ J) | 𝕄·𝕃²·𝕋⁻² | Planck energy at observation layer (1.956×10⁹ J) 1 other reading | 2 |
| T_p | not in the calculator | Θ | Planck temperature ≈ 1.417×10³² K 1 other reading | 2 |
| 6 | not in the calculator | ∅ | base pixel multiplier | 2 |
| 2^(2N) | not in the calculator | ∅ | exponential pixel scaling factor | 2 |
| C | not in the calculator | ∅ | coupling strength between pulse systems within computational substrate 1 other reading | 2 |
| cos | not in the calculator | ∅ | cosine function for harmonic coupling component 1 other reading | 2 |
| 2^{i | not in the calculator | — | 1} [∅] – exponential scaling factor with base 2 for binary computational amplification | 2 |
| dA | not in the calculator | 𝕃² | differential area element | 2 |
| N(L) | Wells the universe forms in its life | ∅ | number of child universes a universe at level L seeds | 2 |
| ln(2) | Binary Information Factor fundamental | ∅ | Binary encoding factor 1 other reading | 2 |
| r'_s | Schwarzschild Radius | 𝕃 | density-modified Schwarzschild radius | 2 |
| dt'/dt | not in the calculator | ∅ | relativistic time dilation ratio | 2 |
| constant | not in the calculator | respective units | invariant quantity across transitions | 2 |
| l_P | not in the calculator | 𝕃 | Planck length, fundamental length quantum 1 other reading | 2 |
| S_c | not in the calculator | 𝕄·𝕃²·𝕋⁻²·Θ⁻¹ | critical entropy threshold 1 other reading | 2 |
| 1/6 | not in the calculator | ∅ | sixth root fractional exponent | 2 |
| 7 | not in the calculator | ∅ | sixth power constant | 2 |
| 1.018 | not in the calculator | ∅ | base amplification factor representing modest heritage effects | 2 |
| 36.7 | not in the calculator | ∅ | total amplification factor from exponential heritage scaling | 2 |
| PD(n) | Pulse diameter at recursion level n | 𝕃 | Pulse Diameter at recursion level n | 2 |
| PD(n+1) | not in the calculator | 𝕃 | Pulse Diameter one level up | 2 |
| X | not in the calculator | ∅ | hydrogen mass fraction, ≈ 0.75 at the Physical Nova 1 other reading | 2 |
| Y | not in the calculator | ∅ | helium mass fraction, ≈ 0.25 at the Physical Nova (measured 0.245) 1 other reading | 2 |
| dN/dM | not in the calculator | 𝕄⁻¹ | the number of stars born per unit of birth mass 1 other reading | 2 |
| M_TOV | not in the calculator | 𝕄 | the neutron-star limit (Tolman–Oppenheimer–Volkoff) 1 other reading | 2 |
| m_P / m_p | not in the calculator | ∅ | the Planck-to-proton ratio of the level (Matter Scale of a Level) 1 other reading | 2 |
| S(n+1) | UniSpheral Energy System Evolution | 𝕄·𝕃²·𝕋⁻² | system energy at next step | 2 |
| f[] | Threshold modulation function | ∅ | threshold modulation function | 2 |
| R(n) | Unbounded Recursive Amplification | ∅ | recursive amplification 1 other reading | 2 |
| 8 | not in the calculator | ∅ | specific recursion level corresponding to fine structure 1 other reading | 2 |
| 1/137 | not in the calculator | ∅ | approximate numerical value 1 other reading | 2 |
| dt | not in the calculator | 𝕋 | differential time element | 2 |
| F | not in the calculator | 𝕋⁻¹ | frame rate parameter | 2 |
| P_n | Normalized power factor | ∅ | normalized power factor 1 other reading | 2 |
| R_n | not in the calculator | ∅ | recursive contribution factor 1 other reading | 2 |
| f(n) | not in the calculator | ∅ | structural capacity after n recursive steps | 2 |
| n* | not in the calculator | ∅ | minimum recursion step for the Data Nova | 2 |
| ceil | not in the calculator | ∅ | ceiling function | 2 |
| d | Mathematical Variable D | [∅] | its distance 1 other reading | 2 |
| z | Mathematical Variable Z | [∅] | the redshift, 1/a − 1 1 other reading | 2 |
| v_esc | not in the calculator | 𝕃·𝕋⁻¹ | the escape speed from the galaxy 1 other reading | 2 |
| m_9 | not in the calculator | ∅ | the disk's mass inside R₀ over 10⁹ Suns 1 other reading | 2 |
| f_gas | not in the calculator | ∅ | the gas fraction of the disk inside R₀ 1 other reading | 2 |
| t_S | not in the calculator | 𝕋 | the Salpeter time, about 45 million years at a tenth of its light 1 other reading | 2 |
| c_s | not in the calculator | 𝕃·𝕋⁻¹ | the sound speed 1 other reading | 2 |
| D(t) | Protected Dimensionality | ∅ | emergent dimensional count at time t | 2 |
| min | not in the calculator | ∅ | minimum function | 2 |
| 9 | not in the calculator | ∅ | numerical coefficient 1 other reading | 2 |
| B | not in the calculator | ∅ | density scaling constant | 2 |
| y | Mathematical Variable Y | [∅] | spatial coordinate 1 other reading | 2 |
| D(r,t) | not in the calculator | ∅ | current dimensional count | 2 |
| dV | not in the calculator | 𝕃³ | volume element | 2 |
| M_P | Planck mass fundamental | 𝕄 | the parent's Planck mass 1 other reading | 2 |
| h_n | not in the calculator | ∅ | the uncertainty of the next symbol given the n − 1 before it, in bits 1 other reading | 2 |
| R(x,t) | Recursive Coherence Envelope | ∅ | resolution function 1 other reading | 2 |
| S_n | not in the calculator | mixed units | current system state vector ([position, momentum, phase]ᵀ) 1 other reading | 2 |
Every symbol here is a variable in the PulseCore calculator, which is where their dimensions are kept.