Revolutionary Physics Computing

Experience the paradigm shift from complex quantum field theory to elementary arithmetic through exact fractional representations of Standard Model parameters.

Exact Arithmetic

No floating-point errors. All calculations use exact rational fractions, ensuring perfect precision in every step.

Step-by-Step Solutions

Watch complex physics calculations unfold as simple arithmetic operations with detailed intermediate steps.

Complete SM Coverage

Calculate parameters across all Standard Model sectors: QED, electroweak, QCD, flavor physics, and cosmology.

Anti-Numerology Safeguards

Built-in protocols ensure scientific rigor using Minimal Description Length framework and complexity scoring.

Educational Focus

Makes advanced quantum field theory accessible to students with clear explanations and theory background.

Experimental Validation

All fractional values validated against precision experiments and benchmark calculations to 12+ significant figures.

Complete Physics Coverage

Calculate across all major areas of the Standard Model with exact precision

CKM Matrix

Quark mixing angles and CP violation

sin 2β = 119/169
λ = 2/9
J_CKM exact

PMNS Matrix

Neutrino mixing and oscillations

sin²θ₂₃ = 9/16
sin²θ₁₂ = 7/23
δ = -π/2

QED Calculations

Electromagnetic precision tests

α = 2639/361638
Muon g-2
Fine structure

Cosmology

Dark matter and dark energy

Ω_m = 63/200
Ω_Λ = 137/200
H₀ = 337/5

Transform Your Physics Calculations Today

Join the revolution in computational physics. Experience the power of exact arithmetic and make Standard Model calculations as intuitive as basic math.

Interactive Physics Calculators

Explore our comprehensive suite of Standard Model calculators, each designed to make complex physics calculations as intuitive as elementary arithmetic.

CKM Matrix Calculator

Quark mixing angles, CP violation parameters, and unitarity triangle calculations

sin 2β calculation
Jarlskog invariant
Triangle geometry

PMNS Matrix Calculator

Neutrino mixing angles, oscillation parameters, and mass squared differences

Mixing angles
Oscillation probabilities
Mass splittings

QED Calculator

Electromagnetic calculations, fine structure constant, and precision tests

Muon g-2
Fine structure
α calculations

Cosmology Calculator

Dark matter, dark energy, and cosmological parameter calculations

Density parameters
Hubble constant
Age of universe

Live Calculation Demo

Interactive Calculation Demo

Click "Demo" on any calculator module to see step-by-step exact fractional calculations in action.

Standard Model Constants Registry

Complete catalog of fundamental physics parameters as exact fractions, validated against experimental measurements with unprecedented precision.

Featured Constants

Key parameters showcasing the power of exact fractional representations

QED
Most precisely known

Fine Structure Constant

2639361638
0.0072973526
31 bits

Symbol: α

Units: dimensionless

Scheme: On-shell α(0)

Flavor
CP violation benchmark

Sin 2β

119169
0.7041420118
15 bits

Symbol: sin 2β

Units: dimensionless

Scheme: Derived from CKM parameters

Neutrino
Maximal mixing

Atmospheric Neutrino Mixing Angle

916
0.5625
8 bits

Symbol: sin²θ₂₃

Units: dimensionless

Scheme: Standard parameterization

Cosmology
Dark matter fraction

Matter Density Parameter

63200
0.315
14 bits

Symbol: Ω_m

Units: dimensionless

Scheme: Flat ΛCDM

Physics Sectors

Constants organized by fundamental physics domains

QED

2 constants

Electroweak

1 constants

QCD

1 constants

Flavor

6 constants

Neutrino

3 constants

Cosmology

3 constants

Registry Statistics

16
Total Constants
6
Physics Sectors

Why Exact Fractional Representations Matter

Perfect Precision

No floating-point errors or numerical approximations—every calculation is mathematically exact.

Computational Speed

Simple integer arithmetic replaces complex floating-point operations, dramatically improving performance.

Educational Value

Makes advanced quantum field theory accessible through elementary mathematical operations.