Back matter
Notation
388 symbols and 138 variables, gathered from every formal definition in the book. 86 carry the calculator’s dimensions and open in it.
| Symbol | Name | Dimension | Reading | Uses |
|---|---|---|---|---|
| ℨ | Zinf Unit fundamental | ℨ | Zinf Unit frequency 13 other readings | 80 |
| ∅ | Absolute Null fundamental | ∅ | null/collapse indicator 12 other readings | 28 |
| α | Alpha | [∅] | Planck time scaling parameter 18 other readings | 25 |
| ℏ | not in the calculator | 𝕄·𝕃²·𝕋⁻¹ | reduced Planck constant 1 other reading | 18 |
| π | Pi | ∅ | mathematical constant pi 4 other readings | 18 |
| ⌂ | Local | ∅ | local level indicator 4 other readings | 18 |
| ⧖ | Half Time/Rate/Frequency fundamental | 𝕋 | Pulse Tempo coordinate 4 other readings | 17 |
| ⥂⌂ | not in the calculator | 𝕋 | Local Pulse Rate 4 other readings | 17 |
| → | Implies | [∅] | transformation operator 9 other readings | 16 |
| γ | Gamma | [∅] | gravitational constant scaling parameter 11 other readings | 16 |
| δ | Delta | [∅] | Planck constant scaling parameter 10 other readings | 16 |
| Σ | Summation Operator fundamental | ∅ | summation operator | 15 |
| log₂ | not in the calculator | ∅ | logarithm base 2 function 2 other readings | 14 |
| ≥ | Greater Than or Equal | [∅] | inequality operator (greater than or equal to) 4 other readings | 14 |
| β | Beta | [∅] | light speed scaling parameter 9 other readings | 13 |
| τ | Tau | [∅] | temporal parameter 6 other readings | 12 |
| ∫ | Integral | [∅] | integration operator 2 other readings | 12 |
| ℜ(n) | not in the calculator | ∅ | structural capacity at recursion level n 4 other readings | 11 |
| χ | Closure Parameter | ∅ | dimensionless Pulse Closure Parameter 3 other readings | 11 |
| √ | Square Root | [∅] | square root function 1 other reading | 11 |
| 𝒞→ | not in the calculator | 𝕃·𝕋⁻¹ | speed of light 4 other readings | 10 |
| ℜ | Recursive Growth Function fundamental | ∅ | recursive operator indicator 3 other readings | 10 |
| ρ_critical | not in the calculator | 𝕄·𝕃⁻³ | critical density threshold 5 other readings | 10 |
| ⚚ | Universe Harmonic fundamental | ∅ | harmonic scaling symbol 5 other readings | 9 |
| 2²⁰² | not in the calculator | ∅ | harmonic scaling factor 4 other readings | 9 |
| ⊕⌂ | not in the calculator | ℨ | Local Universe Pulse Diameter 3 other readings | 9 |
| ⨶ | Threshold Indicator fundamental | ∅ | Threshold indicator 2 other readings | 9 |
| M∅(ℨ) | not in the calculator | 𝕄 | UniSpheral Null Mass at Zinf scale 3 other readings | 9 |
| 𝒞→(ℨ) | not in the calculator | 𝕃·𝕋⁻¹ | speed of light at Zinf scale 2 other readings | 8 |
| ↁρ⟫⟪ | not in the calculator | 𝕄·𝕃⁻³·𝕋⁻² | Data boundary coupling density 1 other reading | 8 |
| ℏ'⌂(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻¹ | density-modified quantum action at Zinf scale | 8 |
| 𝒞→'⌂(ℨ) | not in the calculator | 𝕃·𝕋⁻¹ | density-modified light speed at Zinf scale | 8 |
| M(ℨ) | not in the calculator | 𝕄 | critical mass reference at Zinf scale 2 other readings | 8 |
| φ | Phase Function | ∅ | azimuthal angle coordinate 5 other readings | 8 |
| ☤(ℨ) | not in the calculator | ∅ | spin injection term at Zinf scale 3 other readings | 8 |
| κℨ | Zinf Coupling Constant fundamental | ∅ | Data Coupling Constant linking information density to gravitational effects 1 other reading | 7 |
| ↁρₛ | not in the calculator | 1ᵇ⋅𝕃⁻³ | Static Data Density 2 other readings | 7 |
| n² | Quadratic Growth Function | ∅ | quadratic growth function 3 other readings | 6 |
| τ(m) | not in the calculator | 𝕋 | time required to recursively resolve structure of mass m within computational substrate 2 other readings | 6 |
| ℨ∞ | Zinfinity fundamental | ℨ | Zinfinity Constant 4 other readings | 6 |
| ↁ | Data Domain fundamental | ↁ | Data namespace indicator (marks entity as part of Data layer) 3 other readings | 6 |
| 2ⁿ | not in the calculator | ∅ | harmonic scaling factor 2 other readings | 6 |
| ☫⥂ | not in the calculator | 𝕋 | UniSphereal Pulse Rate 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 |
| ⥂ | Pulse Value | ℨ·ↁ·2ᵇ | maximum allowed closure interval 3 other readings | 6 |
| Ψ₁ | Prime Pulse fundamental | ∅ | normalized pulse curvature measuring substrate deformation from Prime Pulse activity | 6 |
| ℏ⌂(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻¹ | baseline quantum action at Zinf scale 1 other reading | 6 |
| 𝒢'⌂(ℨ) | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | density-modified gravitational constant at Zinf scale 1 other reading | 6 |
| 𝒞→⌂(ℨ) | not in the calculator | 𝕃·𝕋⁻¹ | baseline light speed at Zinf scale 1 other reading | 6 |
| ρ_info | not in the calculator | 𝕃⁻³·1ᵇ | information density 3 other readings | 6 |
| ∇² | Laplacian | ∅ | Laplacian operator | 6 |
| ρ_data(r,t) | not in the calculator | 𝕃⁻³·1ᵇ | local recursive data density at (r,t) 4 other readings | 6 |
| ψ | Psi | [∅] | field configuration function 1 other reading | 6 |
| ρ_collapse | 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 |
| ∞ | Infinity | [∅] | infinity symbol 2 other readings | 5 |
| Σᵢ₌₁ⁿ | not in the calculator | ∅ | summation operator from i=1 to n across recursive levels 1 other reading | 5 |
| ≤ | Less Than or Equal | [∅] | less than or equal operator 3 other readings | 5 |
| τ★ | not in the calculator | 𝕋 | substrate temporal quantum at Level 0 2 other readings | 5 |
| ℨ_time | not in the calculator | 𝕋 | ℨinf time unit 3 other readings | 5 |
| ⟫ | Closure Indicator fundamental | ∅ | closure indicator 1 other reading | 5 |
| 𝒢(ℨ) | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | Base unified gravitational constant 2 other readings | 5 |
| ℏ(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻¹ | Base unified quantum action constant 2 other readings | 5 |
| S∅ | not in the calculator | ∅ | Collapse entropy 1 other reading | 5 |
| ↁℹ⟫⟪ | not in the calculator | 1ᵇ | Data information at boundary coupling interfaces 1 other reading | 5 |
| ⋈⟫⟪ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | Boundary coupling tension | 5 |
| ρ | Density | ρᵇ | local collapse density 2 other readings | 5 |
| ⟪C⟫(ℨ)(⟴) | not in the calculator | ℨ | compression factor based on formation channel at Zinf scale 2 other readings | 5 |
| ω_fundamental | not in the calculator | 𝕋⁻¹ | fundamental frequency 1 other reading | 5 |
| (n+1)² | not in the calculator | ∅ | quadratic neighborhood term 2 other readings | 5 |
| λ | Lambda | [∅] | self-interaction coupling 3 other readings | 5 |
| ρ_data(t) | not in the calculator | 𝕃⁻³·1ᵇ | local data density at time t 1 other reading | 5 |
| ρ_data,critical(r,t) | not in the calculator | 𝕃⁻³·1ᵇ | critical data density threshold at (r,t) 1 other reading | 5 |
| ∀ | For All | [∅] | universal quantifier (for all) 1 other reading | 4 |
| R★ | not in the calculator | 𝕃 | substrate spatial quantum at Level 0 1 other reading | 4 |
| ceil(·) | not in the calculator | ∅ | ceiling function | 4 |
| ℓ_p | not in the calculator | 𝕃 | Planck length 2 other readings | 4 |
| ↁ▣ | Data Bit | ℨ·ↁ·𝔸·1ᵇ | Data Bit | 4 |
| 🟑⌂(N) | not in the calculator | ∅ | local visible pixel count at level N 1 other reading | 4 |
| ∆ↁ⇅ | not in the calculator | 𝕋⁻²⋅𝕃⁻³ | change in data gravity field density per volume within computational substrate 1 other reading | 4 |
| ∫⫷ | not in the calculator | ∅ | volumetric integration with substrate stacking | 4 |
| H₀ | not in the calculator | 𝕋⁻¹ | Hubble constant 1 other reading | 4 |
| ⚛⚕ | not in the calculator | 𝕄𝕃²𝕋⁻² | Physical Energy | 4 |
| ⚛ | Physical fundamental | [ℨ·ↁ·𝔸·𝕄·𝕃] | Physical domain indicator 1 other reading | 4 |
| ①○(t) | not in the calculator | ∅ | 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 | not in the calculator | ∅ | Prime recursion 1 other reading | 4 |
| ⟫⟪ | Interface Coupling/enclosure fundamental | ∅ | Interface coupling indicator | 4 |
| f₁(ↁρ⟫⟪,ℜ) | not in the calculator | ∅ | Data density-recursive load scaling function from previous section 1 other reading | 4 |
| f₂(ↁℹ⟫⟪,S∅) | not in the calculator | ∅ | Boundary information-entropy scaling function from previous section 1 other reading | 4 |
| f₃(ↁ⚕⟫⟪,⋈⟫⟪) | not in the calculator | ∅ | Data energy-tension scaling function from previous section 1 other reading | 4 |
| ↁ⚕⟫⟪ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | Data energy at boundary coupling interfaces | 4 |
| ↁρ① | not in the calculator | 𝕄·𝕃⁻³·𝕋⁻² | Critical Data density threshold 1 other reading | 4 |
| 𝒢⌂(ℨ) | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | baseline unified gravitational constant at Zinf scale 1 other reading | 4 |
| ⊕(ℨ) | not in the calculator | 𝕋 | Pulse Diameter at Zinf scale (fundamental architectural constant) 2 other readings | 4 |
| ①(ℨ) | not in the calculator | 𝕋 | Pulse entity at Zinf scale (complete computational cycle) 1 other reading | 4 |
| θ | Theta | [∅] | polar angle coordinate 2 other readings | 4 |
| τ_Pulse | not in the calculator | 𝕋 | pulse duration 2 other readings | 4 |
| ₀ | not in the calculator | 𝕋 | integration lower limit | 4 |
| ρ_recursive | 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 | not in the calculator | 𝕋 | substrate full pulse 1 other reading | 3 |
| ⛮ | Toggle fundamental | ∅ | Toggle duality symbol (equivalent representation of Pulse State Data) 1 other reading | 3 |
| ⊕ | not in the calculator | ∅ | Memory fusion operator 1 other reading | 3 |
| ℨ_mass | not in the calculator | 𝕄 | ℨinf mass unit 1 other reading | 3 |
| Nℨ | not in the calculator | ∅ | 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 |
| ⥣ | Maximum | ∅ | absolute maximum indicator 1 other reading | 3 |
| 🟑 | not in the calculator | 𝕃 | fundamental pixel size constant across all Universe levels 1 other reading | 3 |
| ∆ↁⓘ | not in the calculator | 1ᵇ | Data Information weight increment 1 other reading | 3 |
| 🟑ℨ | not in the calculator | 𝕃 | Zinf spatial pixel | 3 |
| ⧗ | Full Time/Rate/Frequency fundamental | 𝕋 | Pulse Tempo 1 other reading | 3 |
| ∅ is Pre | not in the calculator | — | Pulse Field 1 other reading | 3 |
| ↁ𝓜(n) | not in the calculator | ∅ | Data Memory structure at level n within substrate architecture 2 other readings | 3 |
| ℜ⫷(n) | not in the calculator | ∅ | recursive depth scaling at level n | 3 |
| ↁ⚕⥂ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | Pulse Rate Data energy 1 other reading | 3 |
| 𝒢 | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | gravitational constant | 3 |
| ℜ⨶(ℨ) | not in the calculator | ∅ | Zinf-scaled Critical Recursion threshold 1 other reading | 3 |
| ↁ⚕⟨(n,ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻² | Genesis Data Energy at harmonic level n with Zinf scaling | 3 |
| λ(ℨ) | not in the calculator | 𝕋⁻¹ | exponential growth rate at Zinf scale 1 other reading | 3 |
| ∇ | Nabla (Del) | [∅] | gradient operator 1 other reading | 3 |
| ↁρ①(ℨ) | not in the calculator | 𝕄·𝕃⁻³·𝕋⁻² | Critical Data density 1 other reading | 3 |
| V∅(ℨ) | not in the calculator | 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▣ | not in the calculator | 𝕃 | Computational horizon radius | 3 |
| ℜ⨶ | not in the calculator | ∅ | Recursive capacity threshold | 3 |
| ⧖⌂(ℨ) | not in the calculator | 𝕋 | Local Pulse Tempo at harmonic level 202 1 other reading | 3 |
| α' | not in the calculator | ∅ | density-modified fine structure constant 1 other reading | 3 |
| ε₀ | not in the calculator | ∅ | permittivity constant 1 other reading | 3 |
| ↁ⧖'⌂(ℨ) | not in the calculator | 𝕋 | density-modified Data Pulse Tempo at Zinf scale | 3 |
| ↁ⧖⌂(ℨ) | not in the calculator | 𝕋 | baseline Data Pulse Tempo 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 Tempo scaling ratio at Zinf scale | 3 |
| d³x | not in the calculator | 𝕃³ | differential volume element 1 other reading | 3 |
| ⟪⟫ | Boundary Interface Indicator/Enclosure fundamental | ∅ | boundary interface indicator | 3 |
| ρ_P | not in the calculator | 𝕄·𝕃⁻³ | Planck density, fundamental density scale 1 other reading | 3 |
| ⟪F⟫ | not in the calculator | ∅ | boundary interface compression factor 1 other reading | 3 |
| a₁(ℨ), a₂(ℨ) | not in the calculator | ∅ | dimensionless spin parameters at Zinf scale | 3 |
| ⟣(ℨ) | not in the calculator | ∅ | spin-axis alignment factor at Zinf scale | 3 |
| θ⧬(ℨ) | not in the calculator | ∅ | spin axis orientation difference at Zinf scale 1 other reading | 3 |
| ρ(ℨ) | not in the calculator | ℨ | density parameters from null well 1 other reading | 3 |
| 2.5 × 10⁶¹ | not in the calculator | ∅ | total scaling factor for our universe 1 other reading | 3 |
| Ψ_folding(t) | not in the calculator | ∅ | 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 |
| 10³ | not in the calculator | ∅ | thousand scale boundary 2 other readings | 3 |
| Φ_density(ρ_data(t)) | not in the calculator | ∅ | density correction factor = ρ_data/ρ₀ 1 other reading | 3 |
| ⟨⟩ | Soft Bounds | ∅ | ensemble average operator 1 other reading | 3 |
| ℓ_z | not in the calculator | 𝕃 | Zinf spatial quantum (minimal boundary cell extent) 1 other reading | 3 |
| α(x,t) | not in the calculator | ∅ | pulse resolution rate 1 other reading | 3 |
| α_n | not in the calculator | ∅ | resolution efficiency at level n 2 other readings | 3 |
| Λ | not in the calculator | ∅ | infinite Binary Lattice without temporal indexing 2 other readings | 3 |
| ∅.original | not in the calculator | ∅ | Original Zero state 1 other reading | 2 |
| ¬∅ | Logical Negation of Null | ∅ | logical negation of null | 2 |
| ↁ○ | not in the calculator | ∅ | 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+⧖) | not in the calculator | ∅ | Next-step Data State | 2 |
| ↁ○(t) | not in the calculator | ∅ | Current Data State | 2 |
| ⛮ ( ) | not in the calculator | ∅ | Toggle operator function | 2 |
| ↁ𝓜(t) | not in the calculator | ∅ | Data Memory at t | 2 |
| dℜ/dn | not in the calculator | ∅ | growth rate with respect to recursion level | 2 |
| d²ℜ/dn² | not in the calculator | ∅ | acceleration constant | 2 |
| ℜ(n | not in the calculator | — | 1) [∅] – structural capacity at previous recursion level | 2 |
| ↁ𝓜(i) | not in the calculator | ∅ | Data Memory at level i | 2 |
| ★ | not in the calculator | ∅ | substrate level indicator | 2 |
| ℨ_length | not in the calculator | 𝕃 | ℨinf length unit | 2 |
| ℨ_energy | not in the calculator | 𝕄·𝕃²·𝕋⁻² | ℨinf energy unit 1 other reading | 2 |
| ℨ_acceleration | not in the calculator | 𝕃·𝕋⁻² | substrate acceleration 1 other reading | 2 |
| ⯴ | Harmonic Amplifier fundamental | ∅ | Local Harmonic Amplifier 1 other reading | 2 |
| ⚚ℨ | Harmonic Zinf fundamental | ℨ | Harmonic Zinf | 2 |
| ⯴_t | not in the calculator | 𝕋⁻¹ | Temporal Harmonic Amplifier | 2 |
| ⯴_s | not in the calculator | 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 |
| 10⁶¹ | not in the calculator | ∅ | count of Zinf operations per Pulse Tempo interval 1 other reading | 2 |
| 1.078 × 10⁻¹⁰⁵ | not in the calculator | 𝕋 | calculated Zinf Quantum magnitude 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 | not in the calculator | 𝕃³ | fundamental spatial volume element based on Zinf pixel architecture | 2 |
| ♆ | Power | ∅ | Power symbol | 2 |
| 𝓕⟳(N) | not in the calculator | 𝕋⁻¹ | local frame rate at harmonic level N | 2 |
| ⊕(N) | not in the calculator | 𝕋 | local Pulse Diameter at harmonic level N within computational substrate | 2 |
| L⚚⌂(N) | not in the calculator | 𝕃 | apparent Universe size at harmonic level N within computational substrate | 2 |
| ∆ↁS | not in the calculator | ∅ | change in data entropy | 2 |
| φ₁ | not in the calculator | ∅ | phase of first Pulse system in harmonic layer 1 other reading | 2 |
| φ₂ | not in the calculator | ∅ | phase of second Pulse system in harmonic layer 1 other reading | 2 |
| Δφ | not in the calculator | ∅ | phase difference calculated as φ₂ - φ₁ 1 other reading | 2 |
| Ψ₁(n) | not in the calculator | ∅ | Prime Pulse state at sequence index n within computational substrate | 2 |
| Ψ₁(n+1) | not in the calculator | ∅ | subsequent Prime Pulse state incorporating historical accumulation 1 other reading | 2 |
| ∆ↁ⇅(global) | not in the calculator | 𝕋⁻² | global Data Gravity field strength | 2 |
| Γ | Mass-Data Coupling | ∅ | Mass-Data Coupling Term 1 other reading | 2 |
| ↁ⚕ | Data Energy | ℨ·ↁ·𝔸·𝕄·𝕃²·𝕋⁻² | Data Energy | 2 |
| 1.5 × 10⁸ m/s | not in the calculator | 𝕃·𝕋⁻¹ | Data computational velocity (c/2) at substrate Tempo scale | 2 |
| 2.25 × 10¹⁶ 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 | not in the calculator | ∅ | Prime Pulse | 2 |
| ↁ𝓜(①₁) | not in the calculator | ∅ | Data Memory encoding of the Prime Pulse 1 other reading | 2 |
| 𝒞(①₁) | not in the calculator | ∅ | Causal influence function of the Prime Pulse 1 other reading | 2 |
| ☫⧱ | not in the calculator | ∅ | 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) | not in the calculator | ∅ | recursive state at level i 1 other reading | 2 |
| 𝒞(i) | not in the calculator | ∅ | connectivity coefficient at level i | 2 |
| ℂ(n) | not in the calculator | ∅ | computational complexity at level n 1 other reading | 2 |
| Σᵢ₌₀ⁿ | Summation Operator | ∅ | Summation operator from i=0 to n | 2 |
| ⇄(n) | not in the calculator | ∅ | feedback state at iteration n | 2 |
| (0 ↔ 1) | not in the calculator | ∅ | binary oscillation | 2 |
| ↁ𝓜(n,ℨ) | not in the calculator | ∅ | 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) | not in the calculator | ∅ | Zinf-scaled Pulse state at level i | 2 |
| ℜ(i,ℨ) | not in the calculator | ∅ | Zinf-scaled Recursive state at level i | 2 |
| ↁ𝓗(i,ℨ) | not in the calculator | ∅ | Zinf-scaled Data Historical state at level i | 2 |
| ∅▱ | not in the calculator | ∅ | 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 |
| ↁρ(ℨ) | not in the calculator | ∅ | Zinf-scaled Data Density | 2 |
| × | Multiplication | [∅] | multiplication operator | 2 |
| ⟨ | not in the calculator | ∅ | genesis indicator | 2 |
| ⋈⟨(τ,x,n,ℨ) | not in the calculator | 𝕄·𝕃⁻¹·𝕋⁻² | Accumulated Tension at time τ, position x, harmonic level n, with Zinf scaling | 2 |
| ⋈⟨₀(n,ℨ) | not in the calculator | 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) | not in the calculator | 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) | not in the calculator | 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) | not in the calculator | ∅ | Recursive Dimensional capacity at position x, harmonic level n, with Zinf scaling | 2 |
| ☐⟨(x,n,ℨ) | not in the calculator | ∅ | Genesis Space domain at position x, harmonic level n, with Zinf scaling | 2 |
| ①⟨(x,n,ℨ) | not in the calculator | ∅ | Genesis Pulse at position x, harmonic level n, with Zinf scaling | 2 |
| ℏ' | not in the calculator | 𝕄·𝕃²·𝕋⁻¹ | modified Planck constant in emergent universe | 2 |
| γ(ℨ) | not in the calculator | 𝕋⁻¹ | Zinf-scaled temporal decay coefficient 1 other reading | 2 |
| ∂ | Partial Derivative | [∅] | boundary operator 1 other reading | 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 | 𝕄·𝕃⁻³·𝕋⁻² | 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○₀ | not in the calculator | ∅ | Initial Pulse computational activity at substrate center | 2 |
| λ▣ | not in the calculator | 𝕃 | Computational decay length | 2 |
| ⫷⟫⟪ | not in the calculator | ∅ | Volumetric stacking operator across interface coupling boundaries | 2 |
| ↁℹ⥂ | not in the calculator | 1ᵇ | Pulse Rate characteristic information | 2 |
| S⥂ | not in the calculator | ∅ | Pulse Rate entropy | 2 |
| ⋈⥂ | not in the calculator | 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) | not in the calculator | 𝕋 | Modified local Pulse Tempo | 2 |
| ⧗'⌂(ℨ) | not in the calculator | 𝕋 | Modified local 2D layer crystal | 2 |
| f▣(ↁρ⟫⟪) | not in the calculator | ∅ | Data density scaling function using computational parameter indicator | 2 |
| 2²⁰¹ | not in the calculator | ∅ | Harmonic scaling factor for basic crystals at level 202 | 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 |
| ℨ'⌂ | not in the calculator | 𝕋 | density-modified Zinf Unit at local level | 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 | not in the calculator | 𝕃 | density-modified Compton wavelength | 2 |
| m'⌂ | not in the calculator | 𝕄 | density-modified particle mass at local level | 2 |
| a'₀ | not in the calculator | 𝕃 | density-modified Bohr radius | 2 |
| ⥂⚕ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | electric current energy coupling | 2 |
| λ_C | not in the calculator | 𝕃 | baseline Compton wavelength | 2 |
| a₀ | not in the calculator | 𝕃 | baseline Bohr radius | 2 |
| ↕⚕' | not in the calculator | ∅ | density-modified gravitational energy coupling | 2 |
| ↕⚕ | not in the calculator | ∅ | baseline gravitational energy coupling | 2 |
| ⚛①⌂ | not in the calculator | 𝕋 | Physical domain Pulse Rate at local level (complete cycle) | 2 |
| ↁ⧖⌂ | not in the calculator | 𝕋 | Data domain Pulse Tempo at local level (half-cycle operation) | 2 |
| ①⌂ | not in the calculator | 𝕋 | Pulse entity at local level | 2 |
| f(⊕⌂⁻¹) | not in the calculator | ∅ | function of inverse Pulse Diameter at local level | 2 |
| f(⊕⌂) | not in the calculator | ∅ | function of Pulse Diameter at local level | 2 |
| f(⊕⌂/①⌂) | not in the calculator | ∅ | function of Pulse Diameter to Pulse entity ratio at local level | 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 |
| ∫₀^⟫∅ | not in the calculator | 𝕋 | time integration from zero to collapse closure time | 2 |
| ∫𝐕 | not in the calculator | 𝕃³ | volume integration over collapse region | 2 |
| ℜ(x,s) | not in the calculator | 𝕄·𝕃⁻³·𝕋⁻² | recursive tension density from computational evolution | 2 |
| ⦚⦚⚕(x,s) | not in the calculator | 𝕄·𝕃⁻¹·𝕋⁻² | kinetic energy density of collapsing matter | 2 |
| ⚝⚕(x,s) | not in the calculator | 𝕄·𝕃⁻¹·𝕋⁻² | gravitational potential energy density | 2 |
| ⟫∅ | not in the calculator | 𝕋 | collapse closure time | 2 |
| N⥣(ℨ) | not in the calculator | ∅ | 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 scaling ratio at Zinf scale | 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,⧖) | not in the calculator | ∅ | null state at position x and Pulse Tempo ⧖ at Zinf scale | 2 |
| ⋈(ℨ)(⧖) | not in the calculator | 𝕄·𝕃²·𝕋⁻² | boundary tension at Pulse Tempo ⧖ at Zinf scale | 2 |
| ⋈∅(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻² | initial tension at Zinf scale | 2 |
| ⧖⨶(ℨ) | not in the calculator | 𝕋 | critical Pulse Tempo at Zinf scale | 2 |
| ⋈⟪⟫(ℨ) | not in the calculator | 𝕄·𝕃²·𝕋⁻² | genesis threshold tension at Zinf scale | 2 |
| ℜρ(ℨ) | not in the calculator | 𝕄·𝕃⁻³·𝕋⁻² | recursive density at Zinf scale | 2 |
| ☉(ℨ)(⧖) | not in the calculator | 𝕃³ | computational volume at Pulse Tempo ⧖ at Zinf scale | 2 |
| ☉∅(ℨ) | not in the calculator | 𝕃³ | initial volume at Zinf scale | 2 |
| ⚚(ℨ) | not in the calculator | 𝕋⁻¹ | modified expansion rate at Zinf scale | 2 |
| ∂²S(ℨ)/∂⧖² | not in the calculator | 𝕋⁻² | second temporal derivative of state function at Zinf scale | 2 |
| S(ℨ) | not in the calculator | ∅ | state function at Zinf scale | 2 |
| |_⧖=∅ | not in the calculator | ∅ | evaluation at initial null time | 2 |
| δ(ℨ) | not in the calculator | 𝕋² | Dirac delta function at Zinf scale | 2 |
| A∅(ℨ) | not in the calculator | ∅ | initial pulse amplitude at Zinf scale | 2 |
| ⚚'(ℨ) | not in the calculator | 𝕋⁻¹ | expansion rate at Zinf scale | 2 |
| r∅(ℨ) | not in the calculator | 𝕃 | Null Well radius at Zinf scale | 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 Tempo | 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 |
| dτ/dτ_proper | not in the calculator | ∅ | time dilation ratio approaching zero, proper time freezing | 2 |
| ν_Pulse | not in the calculator | 𝕋⁻¹ | pulse frequency approaching zero, oscillation cessation | 2 |
| g_μν | not in the calculator | ∅ | spacetime metric tensor approaching zero, metric degeneracy | 2 |
| dτ | not in the calculator | 𝕋 | proper time differential | 2 |
| τ_c | not in the calculator | 𝕋 | collapse time, critical temporal threshold 1 other reading | 2 |
| d³r | not in the calculator | 𝕃³ | volume element in spherical coordinates 1 other reading | 2 |
| ⊕(ℨ)(n) | not in the calculator | 𝕃 | Pulse Diameter at recursion level n at Zinf scale | 2 |
| ⚚2²⁰² | not in the calculator | ∅ | 202nd harmonic scaling factor (≈ 2^202 ≈ 6.4 × 10^60) | 2 |
| ⟐(ℨ) | not in the calculator | 𝕄 | collapse class mass at Zinf scale | 2 |
| ⧬(ℨ) | not in the calculator | ∅ | merger configuration parameters at Zinf scale | 2 |
| ⟢(ℨ)(Mtotal(ℨ)) | not in the calculator | ∅ | mass-sum curvature term at Zinf scale | 2 |
| Mtotal(ℨ) | not in the calculator | 𝕄 | total merger mass at Zinf scale | 2 |
| κ☤(ℨ) | not in the calculator | ∅ | coupling parameter for spin effects at Zinf scale | 2 |
| κ⟣(ℨ) | not in the calculator | ∅ | coupling parameter for alignment effects at Zinf scale | 2 |
| sin² | not in the calculator | ∅ | squared sine function | 2 |
| ⟴ | Origin Connector | ℨ | origin connector (formation channel/genesis point parameter) 1 other reading | 2 |
| ⊕⌂(n) | not in the calculator | ℨ | 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 (≈ 39.1) | 2 |
| ⧖⌂ | not in the calculator | ℨ | Local Universe Time Crystal duration (equivalent to Pulse Diameter) | 2 |
| 2.5 × 10⁶¹ ℨ | not in the calculator | ℨ | standard exponential Zinf notation | 2 |
| 7.9 ☾ℨ | not in the calculator | ℨ | Cosmic Sphereal Zinf notation (☾ℨ = 3.16 × 10⁶⁰ ℨ) | 2 |
| Σ field_tension | not in the calculator | 𝕄·𝕃²·𝕋⁻² | accumulated recursive tension | 2 |
| τ_pulse | not in the calculator | 𝕋 | pulse duration | 2 |
| Θ_threshold | not in the calculator | 𝕄·𝕃²·𝕋⁻⁴ | tolerance factor | 2 |
| τ_frame | not in the calculator | 𝕋 | frame duration parameter | 2 |
| ∫₀ᵀ | not in the calculator | 𝕋 | definite integral operator from 0 to T | 2 |
| ρ_substrate | not in the calculator | ∅ | substrate density parameter 1 other reading | 2 |
| 10⁶ | not in the calculator | ∅ | million scale boundary 1 other reading | 2 |
| ρ_0 | not in the calculator | 𝕃⁻³·1ᵇ | initial Data Density 1 other reading | 2 |
| λ_base | not in the calculator | 𝕃⁻³·𝕋⁻¹·1ᵇ | base accumulation rate | 2 |
| Φ_return | not in the calculator | 𝕋⁻¹·1ᵇ | Data Return Flux (G) through black hole funnels 1 other reading | 2 |
| ∇P_info | not in the calculator | N/m³ | Data Gravity Gradient | 2 |
| ∇Ψ_gravitational | not in the calculator | 𝕃·𝕋⁻² | Data Gravitational Potential Gradient (G) | 2 |
| Σ_sources | not in the calculator | ∅ | summation operator over all information sources | 2 |
| Ψ_coherence(C_data(t)) | not in the calculator | ∅ | coherence modifier = C_data² | 2 |
| ρ_data,critical | not in the calculator | 𝕃⁻³·1ᵇ | critical data density threshold 1 other reading | 2 |
| η_retention(t) | not in the calculator | ∅ | retention/efficiency factor for pulse contribution | 2 |
| ρ_data,0 | not in the calculator | 𝕃⁻³·1ᵇ | reference data density | 2 |
| pᵢ | not in the calculator | ∅ | probability of state i 1 other reading | 2 |
| ⊂ | Subset | ∅ | subset inclusion operator 1 other reading | 2 |
| L_char² | not in the calculator | 𝕃² | characteristic length scale squared | 2 |
| ω | Omega | [∅] | oscillation frequency 1 other reading | 2 |
| 10⁻³ | not in the calculator | 𝕋 | time scale constant 1 other reading | 2 |
| ∫_{V_rupture(t)} | not in the calculator | 𝕃³ | volume integral over rupture region at time t | 2 |
| ψ_order(r,t) | not in the calculator | ∅ | bifurcation order parameter at (r,t) 1 other reading | 2 |
| 10⁻⁶ | not in the calculator | ∅ | quartic coefficient magnitude 1 other reading | 2 |
| Ψ_ideal | not in the calculator | ∅ | ideal quantum state 1 other reading | 2 |
| Ψ_actual | not in the calculator | ∅ | actual measured quantum state 1 other reading | 2 |
| ∏ | Product | [∅] | product operator 1 other reading | 2 |
| f(ρ_collapse) | not in the calculator | ∅ | density scaling function ((ρ_critical/ρ_collapse)^(1/2)) 1 other reading | 2 |
| ρ_threshold | not in the calculator | 𝕄·𝕃⁻³ | minimum density for stable emergence | 2 |
| 2π | not in the calculator | ∅ | angular period constant 1 other reading | 2 |
| 4π | not in the calculator | ∅ | geometric factor | 2 |
| V[ψ] | not in the calculator | ψ | information potential functional | 2 |
| δV/δψ | not in the calculator | 𝕄·𝕃²·𝕋⁻² | first functional derivative of potential with respect to field 1 other reading | 2 |
| f(ρ_recursive) | not in the calculator | 𝕄·𝕃⁻³·𝕋⁻¹ | nonlinear growth function 1 other reading | 2 |
| Symbol | Name | Dimension | Reading | Uses |
|---|---|---|---|---|
| n | Mathematical Variable N | [∅] | recursion level index 41 other readings | 73 |
| t | Mathematical Variable T | [∅] | time variable 11 other readings | 64 |
| 0 | not in the calculator | ∅ | unity constant 28 other readings | 53 |
| 1 | not in the calculator | ∅ | binary cycle multiplier 21 other readings | 31 |
| i | Mathematical Variable I | [∅] | summation index variable 14 other readings | 27 |
| x | Mathematical Variable X | [∅] | spatial position parameter 9 other readings | 27 |
| L | not in the calculator | ∅ | temporal dilation depth 7 other readings | 25 |
| 2 | not in the calculator | ∅ | computational ground state 15 other readings | 23 |
| c | Mathematical Variable C | [∅] | speed of light 7 other readings | 22 |
| exp | not in the calculator | ∅ | exponential function 1 other reading | 21 |
| m | Mathematical Variable M | [∅] | mass 8 other readings | 17 |
| PD | not in the calculator | 𝕋 | Pulse Diameter 6 other readings | 16 |
| r | Mathematical Variable R | [∅] | spatial coordinate 6 other readings | 16 |
| ln | not in the calculator | ∅ | natural logarithm function 2 other readings | 16 |
| s | Mathematical Variable S | [∅] | universal scaling factor (2^203) 5 other readings | 15 |
| t_p | not in the calculator | 𝕋 | Planck time at Level 202 (5.391×10⁻⁴⁴ s) 6 other readings | 13 |
| G | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | gravitational constant 3 other readings | 12 |
| t_P | not in the calculator | 𝕋 | Planck time 2 other readings | 11 |
| 2^(L+1) | not in the calculator | ∅ | total binary dilation 3 other readings | 10 |
| k | Mathematical Variable K | [∅] | half-pulse count 7 other readings | 8 |
| N | Count Variable | ∅ | harmonic level index | 8 |
| V | not in the calculator | 𝕃³ | collapse region volume 4 other readings | 8 |
| l_p | not in the calculator | 𝕃 | Planck length at observational Layer 202 (≈ 1.616×10⁻³⁵ m) 3 other readings | 6 |
| > | Greater Than | ∅ | greater than operator 2 other readings | 6 |
| sin | not in the calculator | ∅ | sine function 1 other reading | 6 |
| ds | not in the calculator | 𝕋 | differential time element 1 other reading | 6 |
| t'_P | not in the calculator | 𝕋 | scaled Planck time in emergent universe 3 other readings | 6 |
| T | not in the calculator | 𝕋 | temperature 4 other readings | 6 |
| = | Equality Operator fundamental | ∅ | equality operator 1 other reading | 5 |
| R | not in the calculator | 𝕃 | spatial radius 3 other readings | 5 |
| s_cont | not in the calculator | ∅ | continuum scale factor from MVU convergence 2 other readings | 5 |
| p | Mathematical Variable P | [∅] | domain nesting index 1 other reading | 5 |
| 3 | not in the calculator | ∅ | our specific harmonic level 2 other readings | 5 |
| c' | not in the calculator | 𝕃·𝕋⁻¹ | modified light speed in emergent universe 3 other readings | 5 |
| e | Mathematical Variable E | [∅] | exponential base 2 other readings | 5 |
| M | not in the calculator | 𝕄 | mass parameter 1 other reading | 5 |
| S | Entropy | ∅ | entropy content of black hole 4 other readings | 5 |
| A | not in the calculator | ∅ | logarithmic scaling constant 3 other readings | 5 |
| k_B | not in the calculator | ML²T⁻²K⁻¹ | Boltzmann constant 1 other reading | 5 |
| f(...) | not in the calculator | ∅ | null well characteristics function incorporating all formation heritage 2 other readings | 5 |
| H | not in the calculator | ∅ | Heaviside step function | 5 |
| N(t) | not in the calculator | ∅ | accumulated Pulse events at time t 3 other readings | 5 |
| j | Mathematical Variable J | [∅] | layer index variable 3 other readings | 5 |
| E | not in the calculator | 𝕄·𝕃²·𝕋⁻² | energy content 2 other readings | 4 |
| ln2 | not in the calculator | ∅ | natural logarithm of 2 | 4 |
| m_p | not in the calculator | 𝕄 | Planck mass at Level 202 (2.176×10⁻⁸ kg) 3 other readings | 4 |
| 2^N | not in the calculator | ∅ | exponential scaling factor 1 other reading | 4 |
| mod | not in the calculator | ∅ | modulo operation ensuring binary constraint 2 other readings | 4 |
| G' | not in the calculator | 𝕄⁻¹·𝕃³·𝕋⁻² | altered gravitational constant in emergent universe 2 other readings | 4 |
| floor | not in the calculator | ∅ | floor function ensuring integer dimensions 2 other readings | 4 |
| F(n) | not in the calculator | ∅ | Folding function result 3 other readings | 4 |
| C(t) | not in the calculator | ∅ | computational complexity factor at time t 1 other reading | 4 |
| A(n) | not in the calculator | ∅ | amplification factor between successive levels 1 other reading | 3 |
| r_s | not in the calculator | 𝕃 | baseline Schwarzschild radius 1 other reading | 3 |
| C | not in the calculator | ∅ | coupling strength between pulse systems within computational substrate 2 other readings | 3 |
| 4 | not in the calculator | ∅ | numerical coefficient 1 other reading | 3 |
| E_total | not in the calculator | 𝕄·𝕃²·𝕋⁻² | total energy content remaining constant 1 other reading | 3 |
| 5 | not in the calculator | ∅ | numerical coefficient, geometric factor 2 other readings | 3 |
| S(n+1) | not in the calculator | 𝕄·𝕃²·𝕋⁻² | system energy at next step 1 other reading | 3 |
| f[] | not in the calculator | — | threshold modulation function | 3 |
| E_base | not in the calculator | 𝕄·𝕃²·𝕋⁻² | base transition energy = ℏ × ω_fundamental 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 |
| y | Mathematical Variable Y | [∅] | spatial coordinate 2 other readings | 3 |
| dV | not in the calculator | 𝕃³ | volume element | 3 |
| lim | Limit Function fundamental | ∅ | limit operation 1 other reading | 2 |
| D(n) | not in the calculator | ∅ | dimensional capacity at recursion level n 1 other reading | 2 |
| T_substrate | not in the calculator | ∅ | substrate threshold 1 other reading | 2 |
| Domain Shift | not in the calculator | ∅ | transition outcome 1 other reading | 2 |
| E_p | not in the calculator | 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 |
| f | Mathematical Variable F | [∅] | harmonic downscaling function 1 other reading | 2 |
| 6 | not in the calculator | ∅ | base pixel multiplier | 2 |
| 2^(2N) | not in the calculator | ∅ | exponential pixel scaling factor | 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 |
| ln(2) | not in the calculator | ∅ | Binary encoding factor 1 other reading | 2 |
| r'_s | not in the calculator | 𝕃 | density-modified Schwarzschild radius | 2 |
| dt'/dt | not in the calculator | ∅ | relativistic time dilation ratio | 2 |
| c_eff | not in the calculator | 𝕃·𝕋⁻¹ | effective speed of light becoming zero, information flow halt | 2 |
| constant | not in the calculator | respective units | invariant quantity across transitions | 2 |
| S_total,after | not in the calculator | ∅ | total entropy after collapse | 2 |
| S_total,before | not in the calculator | ∅ | total entropy before collapse | 2 |
| l_P | not in the calculator | 𝕃 | Planck length, fundamental length quantum 1 other reading | 2 |
| S_max | not in the calculator | ∅ | maximum entropy | 2 |
| N_bits | not in the calculator | ∅ | total binary information content preserved through collapse 1 other reading | 2 |
| r_null | not in the calculator | 𝕃 | Null Well radius | 2 |
| I_surface | not in the calculator | ∅ | total surface information content 1 other reading | 2 |
| 0_null | not in the calculator | ∅ | null state representation | 2 |
| 1_genesis | not in the calculator | ∅ | genesis state representation | 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 |
| 39.1 | not in the calculator | ∅ | total amplification factor from exponential heritage scaling | 2 |
| E_transition | not in the calculator | 𝕄·𝕃²·𝕋⁻² | energy generated per binary transition | 2 |
| n_state | not in the calculator | ∅ | occupation number (0 or 1) | 2 |
| L_Pulse | not in the calculator | 𝕃 | Pulse Domain Radius 1 other reading | 2 |
| R(n) | not in the calculator | ∅ | recursive amplification 1 other reading | 2 |
| Pulse(n) | not in the calculator | ∅ | folded Pulse function (bounded output) 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 |
| E_total(T) | not in the calculator | 𝕄·𝕃⁻¹·𝕋⁻² | total energy accumulation up to time T | 2 |
| dt | not in the calculator | 𝕋 | differential time element | 2 |
| P_unit | not in the calculator | ∅ | unit pulse contribution 1 other reading | 2 |
| F_factor | not in the calculator | ∅ | folding amplification factor 1 other reading | 2 |
| I_pre | not in the calculator | — | nova [∅] – information content before Nova event 1 other reading | 2 |
| F | not in the calculator | 𝕋⁻¹ | frame rate parameter | 2 |
| T_critical | not in the calculator | 𝕄·𝕃²·𝕋⁻² | critical threshold tension 1 other reading | 2 |
| S_Nova | not in the calculator | ∅ | Nova scale composite measure | 2 |
| P_n | not in the calculator | ∅ | 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 first Data Nova | 2 |
| ceil | not in the calculator | ∅ | ceiling function | 2 |
| J_information | not in the calculator | bits/(m²·s) | Data Current Density (G) from each source | 2 |
| P_viable | not in the calculator | ∅ | probability that a child universe achieves stable formation 1 other reading | 2 |
| D(t) | not in the calculator | ∅ | emergent dimensional count at time t | 2 |
| min | not in the calculator | ∅ | minimum function | 2 |
| D_max | not in the calculator | ∅ | maximum physically realizable dimensionality (≈10) | 2 |
| C_data(t) | not in the calculator | ∅ | coherence parameter at time t (0 ≤ C ≤ 1) | 2 |
| 9 | not in the calculator | ∅ | numerical coefficient 1 other reading | 2 |
| T_Pulse(t) | not in the calculator | 𝕋⁻¹ | effective pulse frequency at time t | 2 |
| f_Pulse(t) | not in the calculator | 𝕋⁻¹ | base pulse frequency at time t | 2 |
| B | not in the calculator | ∅ | density scaling constant | 2 |
| I_total | not in the calculator | ∅ | total UniSpheral information 1 other reading | 2 |
| I_substrate | not in the calculator | ∅ | information stored in the data substrate 1 other reading | 2 |
| I_recursive | not in the calculator | ∅ | information carried by active recursion 1 other reading | 2 |
| D(r,t) | not in the calculator | ∅ | current dimensional count | 2 |
| D_nova(t) | not in the calculator | 𝕄 | data nova magnitude at time t 1 other reading | 2 |
| V_rupture(t) | not in the calculator | 𝕃³ | rupture volume at time t 1 other reading | 2 |
| V_qubit | not in the calculator | ∅ | overall validation score | 2 |
| R(x,t) | not in the calculator | ∅ | resolution function 1 other reading | 2 |
| S_entropy | not in the calculator | ML²T⁻²K⁻¹ | information content at collapse threshold | 2 |
| S_n | not in the calculator | mixed units | current system state vector ([position, momentum, phase]ᵀ) 1 other reading | 2 |
| D | not in the calculator | 𝕃² | diffusion coefficient | 2 |
| dy/dx | not in the calculator | ∅ | derivative of y with respect to x 1 other reading | 2 |
| dx | not in the calculator | ∅ | differential element | 2 |
Every symbol here is a variable in the PulseCore calculator, which is where their dimensions are kept.