Eight methods and ten designs across software and hardware. Each design is derived from one or more methods; each is open-sourced under AGPLv3 with a whitepaper and commercial licensing path.
The Fibonacci–Lucas cellular framework — a way of organizing systems of entities at two complementary scales, with zero free parameters. The foundational substrate that all digital methods compose on top of. Applies to software; governs proportions, element spacing, and geometric relationships.
A framework for decomposing, predicting, and representing digital signals. Replaces block-based transforms with a three-stream non-separable lifting transform, a scalable quality ladder, and a near-Shannon-optimal entropy coder. Generates the image, video, audio codec family.
A single standard covering symmetric encryption, collision-resistant hashing, hash-based digital signatures, authenticated messaging, and blockchain application. Three security tiers; quantum resistance from one-way hash properties rather than algebraic hardness assumptions.
A framework for organizing and executing quantum computation on the φCoherent mathematical substrate. Circuit architecture, error correction code families, entanglement distillation, fault-tolerant execution, and resource estimation — derived from the same coherent proportions that govern the classical methods.
A generative architecture with zero tunable parameters in its structure — every layer width, attention configuration, and routing decision is determined by the framework. Ten cognitive layers, mathematically-derived step count, built-in quality awareness, and progressive resolution from a single model.
A classification of the periodic table in which every Lucas or Fibonacci atomic number is assigned a functional role. Two branches share a common root then diverge at the metal–metalloid boundary: the Lucas branch (Cu-Ag-Os) for electromagnetic and acoustic applications; the Fibonacci branch (Al-Sc-Se) for structural and aerospace applications. Both branch compositions are self-selecting — mass fractions follow directly from atomic numbers.
A method of designing the microstructure of cermets and composites — particle size, spatial distribution, multi-scale coherence — directly, without iterative computational optimization. Three simultaneous Fibonacci scales in a single component: macro chord, meso thickness, and micro inclusion particle sizes, each drawn from the Fibonacci sequence. Bimodal particle packing at ratio F(n+2)/F(n) → φ² achieves near-optimal packing density. Complements the materials hierarchy by specifying how chosen materials are arranged at sub-millimeter scales.
A method for designing, characterising, and scaling centrifugal impellers. From a single diameter and the framework-derived blade angle, produces velocity field, pressure distribution, operating envelope, volute matching angle, and stability margins in closed form — no iterative CFD, no empirical correlation.
Image, video, audio codecs derived from the signal decomposition framework. Each codec is a specific instantiation: the same three-stream lifting transform, scalable quality ladder, and entropy coder applied to a different signal domain.
The complete φCrypt cryptographic library — symmetric cipher, hash function, signature scheme, and message authentication — delivered as a portable C++ library and an OpenSSL provider. Three security tiers; drop-in for any system requiring post-quantum cryptographic primitives without algebraic hardness assumptions.
A complete φCoherent quantum stack: runtime, error budget tracking, variational solver, state tomography, and quantum networking. Each component derives from the quantum computing framework and composes with the classical software methods.
Specific model instances derived from the coherent AI architecture method. Layer widths, attention heads, and routing geometry are outputs of the method — no hyperparameter search. Implemented at framework-determined scales with zero structural free parameters.
Rolling-element bearings whose raceway geometry, element count, contact angle, and material selection are all determined by the framework. Released as parametric designs with no free parameters.
A mechanical gyroscope whose rotor proportions, gimbal geometry, and material selection are all framework-derived. Tuned for stability across a wide bandwidth without active correction.
An impeller geometry — blade count, blade curvature, hub-to-tip ratio — fixed by the framework. Drop-in compatible with conventional pump and fluid-handling assemblies. The reference application of the impeller fluid dynamics method.
A centrifugal pump assembly built around the impeller geometry. Volute and diffuser dimensions follow the same framework, producing predictable performance curves without iterative test-and-revise design.
A hydraulic ram pump — passive, no external power — whose chamber and valve proportions are framework-derived. Suited to off-grid installations and water-handling sites without access to external power.
A nozzle whose vane angle, exit area contraction, and sector geometry are all determined by the framework. Vane material is equally specified — two self-selecting compositions from the materials hierarchy, one per service environment — with no free parameters in geometry or composition.
Most usage is covered by AGPLv3 — no permission required. For commercial use that conflicts with copyleft, our licensing team can help.