Deterministic screening
for every material class

Predict critical properties for composites, alloys, ligands, and cosmological parameter sets — analytically, in seconds, with no trial and error.

Open the platform — free access Explore modules

Free access · No credit card · No setup

✦ Every module includes preloaded reference cases — start from a known system, then adjust.

7+
Screening modules
<1s
Time to result
89%
Postdiction pass rate (27 exponents)
0params
Free parameters in core framework
The problem

Material optimization is still mostly trial and error

Engineers working with composites, alloys, or coordination compounds spend weeks iterating parameters in the lab — with no analytical model guiding the process.

Without Criticality Engine

  • Mix at arbitrary concentration, measure, repeat
  • No analytical prediction of critical thresholds
  • Overshoot wastes expensive filler or alloying elements
  • Undershoot means weeks of rework
  • Results depend on who runs the experiment
  • Knowledge lives in lab notebooks, not systems
  • No unified framework across material classes

With Criticality Engine

  • Input system parameters, get critical threshold instantly
  • Full property curves across concentration range
  • Optimal point for any target property
  • Reproducible — same input, same result, always
  • Unified ArXe framework across all material classes
  • Exportable results for reports and documentation
  • API access for integration into existing workflows
Platform modules

One platform, every material class

Each module is built on the ArXe theoretical framework — analytical, deterministic, and calibrated against published experimental data.

Live
Percolation / Materials
Critical exponent screening for composite materials — 2D/3D networks, conductive polymers, superfluids, and magnetic transitions.
Percolation 2D / 3D networks
Ising 3D, O(2) superfluids
σ(p) curve + CSV export
Preloaded reference cases
Live
Alloys / HEA Screen
Solid-solution viability for multi-component alloys. Miedema ΔH_mix, Ω gate, FCC/BCC phase prediction via VEC rule.
ΔH_mix + Ω stability criteria
FCC / BCC phase prediction
Intermetallic former detection
Preloaded reference cases
Live
Chemistry / Ligands
Trans-influence prediction for Pt(II) metal-ligand systems. Formula v3 — zero free parameters, r²=0.98 vs Appleton (1973).
I_trans = θ_σ − λ·i_π·θ_π
λ = 0.25 (derived, no free params)
12 ligands · CSV export
Preloaded reference cases
Beta
Cosmology / CPF
Ontological coherence filter for cosmological parameter sets. PLO v2 / TDSL framework — Hubble tension and NI/DA scoring.
Ω_m, H₀, Sₐ, n_s screening
NI / DA coherence scoring
H₀ tension detector
Inverse
Alloy Inverse Design
Specify target properties — the engine identifies viable alloy compositions. Inverse problem solver for HEA design space.
Target-driven composition search
Forbidden element filtering
Multi-constraint optimization
Preloaded reference cases
Inverse
Criticality Inverse
Enter an observed critical exponent — match it to a known universality class. Identify the physical system behind your measurement.
σ, ξ, P∞, ρₛ observables
2D / 3D / 3+1D context
Tolerance-matched system lookup
Preloaded reference cases
Inverse
Ligand Trans-Influence Table
Compute I_trans from first principles for any ligand — donor atom, hybridization, π-acceptor character, and metal center geometry.
6 structural parameters
Square planar / octahedral
Confidence bar + reference ranking
Preloaded reference cases
How it works

From parameters to optimal result in three steps

Select your domain
Choose the right module
The Hub shows all available screening modules. Select the one that matches your material class — percolation, alloys, ligands, or cosmological parameters.
Set your parameters
Input your system
Each module guides you through the relevant physical parameters. No physics background required for standard use — the Formulator profile handles the detail.
Get your answer
Analytical result, instantly
Receive critical thresholds, optimal concentrations, full property curves, and exportable results — computed analytically, not by simulation.
REST API — Python example
# Percolation screening via API
system = "percolation_3d"  # CNT/polymer composite
p_c = 0.015            # vol fraction threshold
sigma_0 = 12.4            # S/m prefactor
target = 0.5            # S/m target conductivity
# Result — 43ms
p_optimal = 0.048  # ← use this concentration
sigma_at_p = 0.501  # S/m — within 0.2% of target
exponent_t = 1.799  # critical exponent (3D perc.)
FAQ

Common questions

What physical systems does the platform cover?
Seven modules are currently available: Percolation / Materials (3D and 2D networks, Ising 3D, O(2) superfluids), Alloys / HEA Screen, Chemistry / Ligands, Cosmology / CPF, and three Inverse Design modules for alloys, criticality, and ligand trans-influence. Most modules ship with preloaded reference cases so you can see expected input ranges before running your own system. Additional modules are in development.
How accurate are the results?
Results are computed analytically from the ArXe theoretical framework, validated against published experimental data. The platform achieves an 89% postdiction pass rate across 27 critical exponents, with RMSE = 0.855 digits on the naturality threshold model. As with any model, experimental validation is recommended before production use.
Is it based on simulation or machine learning?
Neither. Criticality Engine uses analytical first-principles computation derived from the ArXe framework — a deterministic theoretical approach with zero free parameters in the core model. This means results are reproducible, interpretable, and don't require training data.
Do I need a physics background to use it?
No. The Formulator profile is designed for engineers who need the optimal number — input your material parameters and get the result. The Researcher profile gives full access to critical exponents, scaling laws, and the underlying physics for those who want the detail.
Can I integrate this into my existing workflow?
Yes. The platform includes a REST API. You can call the screening engine from Python, MATLAB, R, or any language that can make HTTP requests. See the API documentation for endpoint reference and examples.
Is access really free?
Yes — currently the platform is freely accessible. You can use all available modules without a credit card or subscription. Paid plans may be introduced in the future as the platform scales.

Stop guessing.
Start screening.

Free access · No credit card · No setup

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