Bendex Geometry LLC

ML infrastructure
grounded in geometry.

Three products. One theoretical framework. Built on information geometry, validated on real hardware, and monitored by the same math that derives the fine structure constant.

100% Detection rate
0% False positives
78 Step lead time
8 sig α accuracy
τ*= √(3/2) ≈ 1.2247 R= −4 1/α= 137.035990840 αs= 0.1171 (blind prediction, 0.8σ) Ωdm/Ωb= 5.3848 (0.25σ Planck 2018) D(t)= λ(τ)·(Δt − T) τ*= √(3/2) ≈ 1.2247 R= −4 1/α= 137.035990840 αs= 0.1171 (blind prediction, 0.8σ) Ωdm/Ωb= 5.3848 (0.25σ Planck 2018) D(t)= λ(τ)·(Δt − T)
Products

The Bendex Arc suite.

Three tools built on the same second-order Fisher manifold. Each one closes a blind spot that existing infrastructure misses entirely.

The framework

One manifold.
Everything else follows.

The second-order Fisher manifold H² × H² with Ricci scalar R = −4 is the geometric foundation underlying all three Arc products. The same self-consistency condition that gives the phase transition at τ* also derives the fine structure constant to eight significant figures.

This is not curve fitting. The bounds are geometrically forced. The predictions were made before the data was consulted.

Read the papers
// manifold
R−4
τ*√(3/2) = 1.22474
λ(τ)3/τ² − 2
// predictions
1/α137.035990840
αs (blind)0.11709 (0.8σ)
Ωdm/Ωb5.3848 (0.25σ)
ΩΛ0.6864 (0.23σ)
// chemistry
ionic/covalent98.3% (p=5.3e−17)
Research

Five papers.
One framework.

Both monitors are applied proofs of a theoretical program in information geometry. The same Fisher manifold underlying Arc Monitor's zero false positive rate also derives α to 8 significant figures from pure geometry.

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Free for research and non-commercial use. Commercial license required for production deployments.

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