Tetrahedral Computing Architecture (TCA) This work proposes berlinite (AlPO₄ — synthetic aluminium phosphate) as the physical substrate for a triadic computing primitive operating at room temperature (300 K). The fundamental unit is a pair of AlO₄ and PO₄ tetrahedra sharing a bridging oxygen atom (Al-O-P). The inherent charge asymmetry between Al³⁺ and P⁵⁺ creates a permanent structural apex-operator — without external dopants, without cryogenic cooling, without exotic manufacturing. The bridging oxygen sees two chemically distinct environments simultaneously: aluminium (electronegativity 1. 61, bond length 1. 734 Å) on one side, phosphorus (electronegativity 2. 19, bond length 1. 526 Å) on the other. Static asymmetry 0. 2 Å. Signal-to-thermal-noise ratio = 4 at 300 K. Three physically distinguishable states emerge from the piezoelectric deformation of the Al-O-P unit: · α (Hold) — equilibrium, no field· β (Al→P) — field compresses AlO₄, expands PO₄· γ (P→Al) — field compresses PO₄, expands AlO₄ States are non-equivalent in energy because Al-O (ionic, 1. 734 Å) and P-O (covalent, 1. 526 Å) bonds have different elastic constants. This is triadic logic, not binary. Hole activation energy: 0. 197 eV (19 kJ/mol). Switching frequency at 300 K: ~4. 5×10⁹ Hz. Switching time: ~0. 2 ns. Piezoelectric coefficient d₁₁ = 3. 08 pC/N (34% higher than quartz). The framework was verified through three independent mathematical verification rounds eliminating candidate materials: · Round 1 — SiO₄: failed on τ-axis (phonon decoherence ~10⁻¹³ s) · Round 2 — Al³⁺ impurity in quartz: failed on Δ-axis (barrier 0. 95–1. 9 eV, switching impossible at 300 K) · Round 3 — AlPO₄ (berlinite): both contradictions resolved Raw materials: aluminium (8% of Earth's crust) and phosphorus (globally abundant phosphate rock). Synthesis by hydrothermal growth from Al₂O₃ and H₃PO₄ at 150–260°C. Theoretical density of triadic primitives: ~10⁸–10⁹ mm⁻², comparable to TSMC 3 nm node (~3×10⁸ mm⁻²). Information per element: log₂ (3) ≈ 1. 585 bits vs 1 bit for binary. Verification status: theoretical and mathematical foundation established. Experimental next step: write-hold-read cycle on synthetic AlPO₄ single crystal at 300 K. This publication is grounded in the Structural Systems Corpus (DOI: 10. 5281/zenodo. 19108892) and connects to Theory of Origin (observer as structural primitive), Triadic Control Theory (TCT), Triadic Stability Principle (TSP), Structural Time Theory (STT), and the Principle of Crystallization. Published as open access under CC BY 4. 0. No patents are claimed or intended. This publication constitutes prior art. Free for all humanity to build upon. Keywords: tetrahedral computing, triadic logic, berlinite, AlPO₄, aluminium phosphate, molecular computing, room temperature computing, piezoelectric computing, apex-operator, structural asymmetry, beyond binary, triadic architecture Contains theese documents: TCAAIIndexᵥ1. docx TCATechSpecᵥ1. docx TCAHumanLayerᵥ1. docx TCAValidationReportᵥ1. pdf (Раунды 1-5, DeepSeek) TCAReferenceImplementationᵥ1. 0. cpp TCAPhysicalSpecᵥ1. docx TCAIOStorageSpecᵥ1. docx TCAHomeostaticControlᵥ1. docx TCAGoogleGeminiDeepResearchValidation. pdf TCAReferenceImplementationᵥ1. 0. cpp This is a small C++ reference implementation of TCA: a conceptual simulator, not a driver, not a miner, and not a hidden installer. The program does not publish anything to the network, collect data, modify the system, or require special privileges. It simply prints reference physical parameters to the console, demonstrates the model’s three logical states, shows switching between them under an applied field, and explains their links to the broader theory corpus. The code is self-contained, readable, and intended for study, logic checking, and further adaptation. It is a safe educational and research example that presents TCA in software form.
ANDREY STANKO (Mon,) studied this question.