GIFT-BOY TRANSLATOR
GEOMETRIC INFORMATION FIELD THEORY ↔ STANDARD MODEL CONVERTER
ELECTROMAGNETISM ▼
FINE STRUCTURE CONSTANT α⁻¹ = 127.959 (GIFT) ↔ 1/137.036 (QED)
ELECTROMAGNETIC COUPLING g²ₑₘ = 4π/ξτ ↔ e² = 4πα
VERTEX CORRECTION Γᵤ = γᵤ[1 + α/2π + ...] ↔ γᵤ[1 + (1-ξ)...]
ANOMALOUS MAGNETIC MOMENT aₑ = α/2π + 0.328α²/π² ↔ (1-ξ)τ⁻ᵝᴴ/2π
LAMB SHIFT ΔE = α⁵mc²/π × K ↔ ξ⁵mc²τ/π × K
GENERAL RELATIVITY ▼
EINSTEIN FIELD EQUATION Rᵤᵥ - ½gᵤᵥR = 8πGTᵤᵥ ↔ ... + ξe⁻¹G
SCHWARZSCHILD RADIUS rₛ = 2GM/c² ↔ 2GM(1+ξe⁻¹)/c²
COSMOLOGICAL CONSTANT Λ = Λ₀ ↔ Λ₀[1 - 0.064(τ/ξ)ᵝᴴ]
HUBBLE PARAMETER H₀ = 67.36 km/s/Mpc ↔ 67.36(ζ(3)/ξ)ᵝᴴ
FRIEDMANN EQUATION (ȧ/a)² = 8πGρ/3 ↔ 8πG(1+ξe⁻¹)ρ/3
QUANTUM MECHANICS ▼
SCHRÖDINGER EQUATION iℏ∂ψ/∂t = Ĥψ ↔ iℏ(1-ξ)∂ψ/∂t = Ĥψ
UNCERTAINTY PRINCIPLE ΔxΔp ≥ ℏ/2 ↔ ΔxΔp ≥ ℏτ⁻ᵝᴴ/2
CANONICAL COMMUTATOR [x̂,p̂] = iℏ ↔ [x̂,p̂] = iℏ(1+ζ(3)(1-ξ))
HYDROGEN ENERGY LEVELS Eₙ = -13.6eV/n² ↔ -13.6eV×ξ²/n²
SPIN ALGEBRA [Sᵢ,Sⱼ] = iεᵢⱼₖSₖ ↔ iεᵢⱼₖSₖ×τ/8
PARTICLE PHYSICS ▼
HIGGS SELF-COUPLING λ = 0.129 ↔ (1-ξ)×ζ(3)×6
WEINBERG ANGLE sin²θw = 0.23121 ↔ 3τ⁻ᵝᴴ/8×[1+(1-ξ)×2.8]
KOIDE RELATION Q = 2/3 ↔ 2/3×[1+((ζ(3)-1)/π²)(1-ξ)]e⁻ᵟ²/²ᵖ
CKM MATRIX Vᵤᵦ ≈ 0.004 ↔ (1-ξ)²×τ⁻¹
NEW PARTICLE MASSES mₛ = ? ↔ τ GeV; mᵍ = ? ↔ √248×τ GeV
STANDARD MODEL INPUT FORMULA
GIFT OUTPUT FORMULA
QUICK REFERENCE - KEY TRANSFORMATIONS
FUNDAMENTAL PARAMETERS
ξ = 5π/16 = 0.981747704247
τ = 8γ^(5π/12) = 3.896568379607
β_H = π/8 = 0.392699081699
KEY MAPPINGS
α → 1/(ξτ×40)
G → G×(1+ξe⁻¹)
Λ → Λ×[1-0.064(τ/ξ)^β_H]
EMERGENCE FACTORS
(1-ξ) = 0.018252 ≈ 1/55
τ^(-β_H) = 0.586192
ξ^248 = 0.010375
GIFT-BOY TERMINAL v0.1a
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