Calera Computing, Inc. is a Delaware C-Corporation building the next generation of deterministic cognitive systems. Our architecture is organized around algebraic constants that emerge from lattice geometry — the same constants that govern energy propagation in simplicial structures across dimensions.
We don't approximate. We don't predict. We derive. Every architectural decision traces back to a mathematical proof. That's not a philosophy — it's a structural constraint.
Generation is recall, not prediction. If the system lacks a confident pathway, it returns nothing — by construction.
✝️ Glory to the Most High God. Everything we build rests on the conviction that the mathematical order we discover was placed there on purpose. We didn't invent the lattice constants — we found them. The architecture honors the Designer by refusing to cut corners on the design.
🔬 We lead with math and physics. Every architectural decision traces back to a proof — not a hyperparameter sweep, not an empirical heuristic, not a benchmark leaderboard. If the math doesn't justify it, we don't build it.
📐 Founded on mathematics, not statistics. We build deterministic cognitive systems from first-principles lattice geometry. The structure is the guarantee. Where others tune for approximation, we derive from invariants.
📖 We publish in the open. Every proof. Every result. Science that can't be reproduced isn't science. We put our work on Zenodo with open-access DOIs because the results should speak — and anyone should be able to verify them independently.
🧊 Structural constraints over policy promises. "Don't hallucinate" is a policy. Returning nothing when no confident pathway exists is a structural constraint. We believe the most trustworthy systems are the ones that physically cannot misbehave — not ones told not to.
| Principle | ||
|---|---|---|
| σ | Lattice Physics | Architecture organized around the σ-constant (σ ≈ 1.22074), the geometry-native decay base for 4D simplicial lattices. |
| ∅ | Deterministic Recall | Generation is recall, not prediction. If the system lacks a confident pathway, it returns nothing — by construction. |
| ⟨⟩ | Geometric Provenance | Every output traces to a specific geometric coordinate. The address is the audit trail. |
Our first public paper establishes the dimensional hierarchy of algebraic constants that organize energy propagation on simplicial lattices.
B-01 · Zenodo · Open Access
The σ-Constant: A Universal Algebraic Invariant for Energy Propagation in d-Dimensional Simplicial Lattices
Casey Lee Race · May 22, 2026 DOI: 10.5281/zenodo.20350425
We derive σ ≈ 1.22074, the unique positive real root of x⁴ − x − 1 = 0, and demonstrate that it is the geometry-native organizing constant for energy propagation on the A₄ root lattice. Zero free parameters. The lattice geometry determines the constant.
| Dimension | Equation | Constant | Name | Geometry |
|---|---|---|---|---|
| 2 | x² = x + 1 | φ ≈ 1.618 | Golden Ratio | Triangle, Pentagon |
| 3 | x³ = x + 1 | ρ ≈ 1.325 | Plastic Constant | Tetrahedron |
| 4 | x⁴ = x + 1 | σ ≈ 1.221 | σ-Constant | Pentatope, A₄ Lattice |
| 5 | x⁵ = x + 1 | ≈ 1.167 | — | 5-Simplex |
| ∞ | — | → 1.0 | Isotropic Limit | — |
Calera Computing, Inc. Delaware C-Corp · Founded 2026
📧 casey@calera-computing.com 🌐 calera-computing.com
Lead with the physics. The industries will follow.