Zeq OS — Generative Mathematics Framework
Zeq OS is a language-agnostic middleware framework for physics computation. It provides 1,576 verified physics operators across 64 domains, synchronized through a universal temporal heartbeat at 1.287 Hz.
Zeq OS is not tied to any single programming language. The framework is implemented as SDKs in Python, JavaScript, TypeScript, Rust, Go, C++, and WebAssembly. You choose the language that fits your stack — the physics stays the same.
What Zeq OS Does
Traditional physics computation is fragmented: every library, every simulation, every calculation runs on its own clock with its own conventions. Results from one tool don't compose cleanly with results from another.
Zeq OS solves this by introducing a universal synchronization layer:
- One frequency — 1.287 Hz (derived from fundamental constants, not arbitrary)
- One temporal unit — the Zeqond (0.777 seconds), mapped losslessly onto Unix time
- One precision guarantee — every computation verified to 0.1% or less
- One selection protocol — the 7-Step Wizard, mandatory for all computations
R(t) = S(t) × [1 + α × sin(2πft)]
where:
f = 1.287 Hz (HulyaPulse frequency)
α = 0.00129 (modulation depth)
S(t) (standard physics value)
Average any Zeq-modulated result over one Zeqond and you recover the standard value exactly. This means Zeq OS results are backwards-compatible with conventional physics — they carry additional temporal information without losing accuracy.
Language-Agnostic Middleware
Zeq OS sits between your application and the physics. Your app calls the SDK, the SDK handles operator selection, temporal synchronization, and precision verification. The physics is the same regardless of language:
┌──────────────────────────────────────────────────┐
│ YOUR APPLICATION │
│ (web app, CLI, mobile, game, API, notebook) │
├──────────────────────────────────────────────────┤
│ ZEQ OS SDK │
│ Python · JavaScript · Rust · Go · C++ · WASM │
│ │
│ ┌─────────────┐ ┌──────────────┐ │
│ │ HulyaSync │ │ ZeqProcessor │ │
│ │ (temporal) │ │ (7-step) │ │
│ └─────────────┘ └──────────────┘ │
│ ┌─────────────┐ ┌──────────────┐ │
│ │ Operators │ │ ZeqState │ │
│ │ (1,576) │ │ (snapshot) │ │
│ └─────────────┘ └───────── ─────┘ │
├──────────────────────────────────────────────────┤
│ OPERATOR REGISTRY (JSON) │
│ 1,576 operators · 64 categories · v6.3.0 │
│ Shared source of truth for ALL SDKs │
└──────────────────────────────────────────────────┘
Every SDK exposes the same four core components:
| Component | Purpose |
|---|---|
| HulyaSync | Temporal synchronization — Unix/Zeqond conversion, phase calculation, modulation |
| ZeqProcessor | 7-Step Wizard Protocol — domain detection, operator selection, compile, execute, verify |
| OperatorRegistry | Access to all 1,576 operators with category filtering and search |
| ZeqState | Immutable computation snapshot with timing, operators, metrics, and precision data |
The 7-Step Wizard Protocol
Every computation in Zeq OS follows the same protocol, regardless of language:
- KO42 Prime Directive — The metric tensioner is mandatory. No computation proceeds without it.
- Select Operators — Choose 1-3 operators from the registry (max 4 total including KO42).
- Match Domain — Map operators to the correct physics domain using the Scale Principle.
- Tune Precision — Set precision target to ≤0.1% mean error.
- Compile — Assemble the Master Equation from selected operators.
- Execute — Run the Functional Equation with HulyaPulse modulation.
- Verify — Check results against precision target. Troubleshoot if needed.
Operator Domains (64 Categories)
The operator registry spans classical physics through to quantum computing and consciousness fields:
| Domain Group | Categories | Example Operators |
|---|---|---|
| Core Physics | Kinematic, Newtonian, Quantum, Relativity | KO1-KO100, QM1-QM30, NM18-NM30, GR31-GR50 |
| Extended Physics | Thermodynamics, Electromagnetism, Fluid Dynamics, Optics, Nuclear | TH1-TH15, EM1-EM15, FL1-FL10, OP1-OP10 |
| Applied Sciences | Signal Processing, Control Systems, Geophysics, Wave Mechanics | SP1-SP20, CT1-CT20, GP1-GP20, WM1-WM20 |
| Industry | Medical, Aerospace, Engineering, Finance, Energy, Biotech | MED_, ORBIT_, BEAM_, BLACK_SCHOLES, SOLAR_ |
| Frontier | Quantum Computing, Neuroscience, Plasma Physics, Consciousness | QUANTUM_SIM, NEURAL_DYNAMICS, PP1-PP20 |
Core Equations
The Zeq Equation
R(t) = S(t) × [1 + α × sin(2π × 1.287 × t)]
Where α = 0.00129 — the modulation depth. Averaging over one Zeqond (0.777s) recovers S(t) exactly.
HULYAS Master Equation
□(φ) − μ²(r)φ − λφ³ − exp(−φ/φ_c)
+ φ₄₂ × Σ(Cₖ(φ)) = T^μ_μ + βF·F + J_ext
KO42 Metric Tensioner
KO42.1 (Automatic): α × sin(2π × 1.287 × t)
KO42.2 (Manual): β × sin(2π × 1.287 × t)
Self-Hosted Platform
Zeq OS ships as a complete self-hosted platform with all services accessible under a single domain:
- Documentation — Full SDK reference, guides, operator catalog (Docusaurus)
- AI Chat — Zeq MI with MCP integration
- Git Repository — Private Zeq Git instance for source code
- Community Forum — Discourse with SSO
- API Gateway — REST API with 1,576 operators, auth, rate limiting
- Sync Engine — WebSocket broadcast at 1.287 Hz
- Search — Zeq Search privacy-respecting metasearch
See the Deployment Guide to set up your own instance.
Research
- Zeq Paper — Frequency derivation, temporal proofs
- Framework Paper — Full mathematical foundation
- License: CC BY 4.0