Starter
$29
per month
100 tokens/day for 14 days · 1,287/day with Starter. No card required.
What's Included
- 1,287 compute tokens/day
- All 64 physics domains
- Full ZeqState envelope
- KO42 verification
- Usage dashboard
1,500+ catalogued operators · 64 DOMAINS · 1.287 HZ HULYAPULSE · ZEQOND · KO42 · ≤0.1% PRECISION
Add real-world, highly accurate physics to your apps, games, and AI agents with a single HTTP request.
Forget coding complex math from scratch. Zeq is a massive, ready-to-use physics engine that calculates everything from quantum mechanics to general relativity. Just send us your inputs, and we instantly return verified, textbook-accurate results. No PhD required, no messy setup—just a live API you can plug into your code today. 100 free requests a day, forever.
Copy Kernel + Open SDK →Loading canonical kernel from /api/kernel/prompt …
/api/zeq/compute response ships a hash-linked audit envelope mapped to FDA 21 CFR Part 11 (ALCOA), ISO/IEC 27001, GDPR Art. 30, SOX/SOC 2, DO-178C, and NIST SP 800-53. Drop it directly into your audit trail — no extra endpoint, no opt-in.compliance on the JSON response and via X-Zeq-Compliance-Envelope / X-Zeq-Compliance-Schema headers.FRAGMENTED PHYSICS · NO SHARED CLOCK · PAYWALLS · DOMAIN DRIFT · INCOMPATIBLE FRAMEWORKS
Before ZEQ, physics was fragmented, paywalled, and incompatible by design. That problem is solved. The API is running.
For decades, physics computation has been locked behind three walls: institutional access, expensive proprietary software, and incompatible frameworks with no shared clock. A researcher at a university could run a quantum simulation in one tool and a fluid dynamics model in another, but the two results could never be directly compared — they were produced by different systems, at different timesteps, with no common reference.
The cost of that fragmentation is not abstract. Aerospace engineers make safety-critical assumptions based on models that diverge. Climate scientists patch together libraries that were never designed to speak to each other. Game studios and robotics teams rebuild physics from scratch for every project, because nothing portable exists.
ZEQ was built to end that. One engine. One clock. One verified timestep — the Zeqond [τ = 0.777 s], phase-locked to the 1.287 Hz HulyaPulse. Every computation, across every domain, runs on the same mathematical foundation. For the first time, a result from a gravitational simulation can be directly verified against a result from an electromagnetic one. That is what ZeqVM means: not a wrapper around someone else's engine, but a new clock for all of physics.
01
A researcher with a hypothesis waits weeks for simulation time on a university cluster — only to receive results from a system that shares no common clock with any other domain.
02
An engineer building climate models integrates five incompatible libraries — none sharing a clock. A result from one framework cannot verify a result from another. Every domain runs on faith rather than mathematics.
03
A curious mind who wants to understand the universe hits a $50,000 paywall and a six-month setup. The cost of fragmentation is not theoretical. It means aerospace engineers guess. Climate models accumulate drift. Drug simulations diverge silently.
04
A developer adds ZEQ_API_KEY to their project, calls POST /api/zeq/compute, and gets back verified physics in milliseconds — no physics background required, no cluster access, no incompatible libraries. One HTTP call. Timestamped to the Zeqond. Verified by [KO42].
Physics was inaccessible by design. We changed the design.
ZEQ · 1.287 HZ HULYAPULSE · KO42 · 1,500+ catalogued operators · CC BY 4.0 · ZENODO
Zeq is a radio frequency engineer specializing in signal analysis and pattern recognition. In 2025, running forensic spectral analysis against NIST CODATA constants and multi-domain physical measurements, the algorithm surfaced a recurring frequency embedded in the dimensional relationships between fundamental constants.
[1.287 Hz] — present across quantum, Newtonian, and relativistic dimensional analysis. Repeatable. Verifiable. He called it the HulyaPulse and built an API around it.
He built 42 operators to describe its behavior. Those 42 became [64] domains. 64 became [1,500+] verified operators — the kinematic signature of physics itself. [F = ma] Newton's laws. [∇×B = μ₀J] Maxwell's equations. [iℏ∂ψ/∂t = Ĥψ] Schrödinger's wave function. All of them gained a shared clock [τ = 0.777 s] — the Zeqond. All of them could now speak to each other.
The initial application target was multi-body gravitational computation — a domain where floating-point drift is a known, documented problem.
What started as a signal-processing observation became a deterministic computational architecture.
Each of the 1,500+ catalogued operators implemented as tested, callable code across 64 domains — the API layer, the ZeqProof signing pipeline, the KO42 validation engine, the MCP bridge, the authentication system — all shipped as a working service callable from any language via a single REST endpoint.
This is not a theory to be debated — it is a system to be computed.
"The sciences do not try to explain, they hardly even try to interpret, they mainly make models."
— John von Neumann
Zeq.dev moves beyond models. We execute physics.
Zeq Equation — Universal Proper-Time Modulation
Published Research
ZEQ OS — EVOLUTION OF MATHEMATICS: A Synchronized Computational Formalism
DOI: 10.5281/zenodo.15825138 ↗ZEQ OS: Universal Proper-Time Modulation
DOI: 10.5281/zenodo.18172865 ↗CC BY 4.0 · 4,000+ downloads · Freely available. Open science.
ZEQOND τ=0.777s · KO42 Metric Tensor · 1,500+ catalogued operators · 64 DOMAINS · 1.287 HZ · φ=1.618
This is the live architecture. Every component below is running in production today.
GENERATIVE MATHEMATICS — HOW THE EQUATION IS COMPILED
You don’t look up a pre-computed answer. You compile one. Send a domain and inputs — Zeq selects the relevant operators from 1,500+ verified equations, binds physical constants, validates dimensional coherence, runs the computation at ≤0.1% precision, verifies every result through KO42, phase-locks the output to the 1.287 Hz HulyaPulse, and returns THE equation — timestamped to the Zeqond, grounded in NIST/NASA/CERN data. An equation that did not exist until the moment you asked.
[τ=0.777s] τ — The Zeqond
Not a second. Not a millisecond. The Zeqond is the interval at which physics re-synchronizes across all 64 domains. Every computation is timestamped to it. Every result carries [τ = τ=0.777 s] in its envelope.
[KO42] Metric Tensor
Every result is verified against KO42 — [1,500+] operators across [64] physics domains, one shared clock at [1.287 Hz]. Cross-domain computations that previously required six incompatible frameworks now resolve through a single verified operator.
[1,500+] Verified Operators
From quantum mechanics to orbital mechanics to fluid dynamics — every domain shares the same frequency baseline at [1.287 Hz]. A result from one domain can now verify a result from another. For the first time.
1,500+ catalogued operators across all 64 physics domains.
Prime Directive Mandatory. Every computation verified.
NIST/NASA/CERN Verified. Mathematically grounded.
API REQUEST — CALL THE SCHRÖDINGER OPERATOR BELOW
// Set environment variable: ZEQ_API_KEY=zeq_ak_...
const res = await fetch("https://www.zeq.dev/api/zeq/compute", {
method: "POST",
headers: {
"Authorization": `Bearer ${process.env.ZEQ_API_KEY}`,
"Content-Type": "application/json",
},
body: JSON.stringify({
domain: "quantum-mechanics",
inputs: { energy: 1.5, mass: 9.11e-31 },
}),
});
const { zeqState, result } = await res.json();{
"zeqState": {
"operators": ["KO42", "QM01"],
"masterSum": 1.000514,
"zeqond": 2847891,
"precision": 0.000832,
"pulseHz": 1.287
},
"result": { "waveFunction": 2.41e-19 }
}Supported Languages · Call Physics in Any Stack
A single REST endpoint, POST /api/zeq/compute, accepts a JSON request body and returns a hash-linked ZeqState envelope signed with HMAC-SHA256 (ZeqProof). Reference client snippets are provided for Python, JavaScript, TypeScript, Java, C#, C++, Go, Rust, Ruby, PHP, Kotlin, and Swift in the SDK reference.
THE N-BODY PROBLEM · UNSOLVED FOR 300 YEARS · COMPUTATIONAL SOLUTION RUNNING LIVE · TOGGLE SYNC OFF · WATCH THE CHAOS
Three or more bodies under mutual gravity — mathematicians have been trying to solve this for 300 years. Euler, Lagrange, Poincaré — none found a general answer. What you're watching is the computational solution: every timestep locked to the 1.287 Hz HulyaPulse via the Zeqond. Toggle ZEQ Sync off and watch the orbit decay in real time. The same engine can be embedded directly into games, physics simulations, and digital twins.
Toggle ZEQ Sync off. Watch what 300 years of unsolved mathematics looks like without a clock.
RESEARCHERS · ENGINEERS · EDUCATORS · THE CURIOUS · AEROSPACE · CLIMATE · QUANTUM · DRUG DISCOVERY
The API is live. These are real use cases running on the production endpoint today.
[1,500+]
Verified Operators
[64]
Physics Domains
[1.287 Hz]
HulyaPulse
[τ=0.777s]
Zeqond τ
Researchers: run a hypothesis through [64] physics domains in one API call. Verify against [1,500+] operators, all phase-locked to [1.287 Hz].
Engineers: compose cross-domain computations that share a verified clock [τ = 0.777 s] for the first time. All results carry the [KO42] master verification envelope.
Educators: demonstrate [F = Gm₁m₂/r²] gravitational drift, [iℏ∂ψ/∂t = Ĥψ] quantum wave collapse, or orbital decay live, in a browser, in real time.
The curious: open MI Chat and start asking physics questions instantly — no sign-up, no API key. The built-in model runs through the Zeq kernel, returning verified, KO42-stamped answers. Or paste the MCP config into Claude, ChatGPT, or Cursor for the same verified physics.
Developers: add ZEQ_API_KEY to your project secrets, call POST /api/zeq/compute, and get back verified physics in milliseconds. REST, Python SDK, JS SDK, and MCP all supported — no physics background required.
Aerospace
Call the N-body gravity operator with your satellite parameters. Get back position, velocity, and a ZeqState envelope verifying drift ≤0.1%.
Try in Playground →Quantum Research
Request the Schrödinger operator for your energy and mass inputs. Returns the wave function — verified against NIST constants.
Try in Playground →Fluid Dynamics
Supply your Reynolds number and boundary conditions. Flow characteristics phase-locked to the HulyaPulse, returned in milliseconds.
Try in Playground →Learning & Demonstration
Every equation in a physics curriculum is in the operator catalog. Build interactive simulations that anyone can run, modify, and verify.
Browse operators →Electromagnetics
Post your field parameters to the EM domain endpoint. Returns field vectors verified against Maxwell's laws, synchronized to the Zeqond clock.
Try in Playground →Relativity
Call the GR domain with your metric tensor inputs. Returns geodesic results verified against known Schwarzschild solutions — no specialist software required.
Try in Playground →Developers
REST, Python SDK, JS SDK, and MCP — all ready to drop into your project. Copy the config from the hero, paste in your key, and you're running verified physics in minutes. No domain expertise required.
Read the docs →ZEQ.DEV VS ANSYS VS COMSOL VS DIY · $29/MO · 14-DAY FREE TRIAL · UNIVERSAL MATH CLOCK · KO42 CROSS-DOMAIN
ZEQ.dev vs ANSYS vs COMSOL vs DIY — one shared math clock that none of them have.
| Zeq.dev | ANSYS | COMSOL | DIY Libraries | |
|---|---|---|---|---|
| Starting price | $29/mo | $50,000+/yr | $30,000+/yr | Free + dev time |
| Works anywhere | Partial | |||
| Universal math clock | 1.287 Hz | |||
| Cross-domain results | KO42 | Limited | Limited | |
| API key in 30 seconds | Weeks | Weeks | — | |
| Precision bound | ≤0.1% | Varies | Varies | Unknown |
| Free trial | 14 days | Demo only | Demo only | — |
Every ZEQ property is a distinct lens on the same underlying mathematics — all synchronized to the 1.287 Hz HulyaPulse.
zeq.dev
The primary API platform. 1,500+ catalogued operators, 64 domains, REST + MCP endpoints. The engine behind every ZEQ computation.
zeqond.com
τ = 0.777 s — the interval at which physics re-synchronizes. Every ZEQ computation is timestamped to the Zeqond clock.
hulyapulse.com
f = 1.287 Hz — found in the relationship between universal constants. The synchronization frequency giving all ZEQ operators a shared time reference.
zeq.me
The human side of ZEQ. Developer profiles, community projects, and the Zeq story — from the signal analysis that identified a deterministic synchronization frequency.
zeq.dev
The derivation. How forensic spectral analysis of NIST CODATA constants surfaced a deterministic 1.287 Hz frequency across quantum, Newtonian, and relativistic dimensional analysis. Reproducible. Verifiable.
zeq.dev
All five ZEQ components in one system. See how the frequency, the API, the clock, the developer tools, and the protocol connect.
View Vision →[ API KEY SECURITY ]
Every API key is stored as a one-way SHA-256 hash — the raw key never touches the database. If a key is lost or you suspect it has been stolen, you rotate it instantly from your portal. The old key is revoked the moment a new one is issued.
Raw keys never stored. Only the irreversible hash is kept. Even a full database breach cannot expose your key.
One click in your portal revokes the old key and issues a new HITE-certified one. The stolen key stops working immediately.
Burst attacks per IP are capped at 60 requests per minute. Stolen keys cannot be blasted at scale — rate limits cut in globally before daily tokens are drained.
Every key carries a HITE time-encoded signature. Replayed or forged keys fail cryptographic verification before any compute runs.
Every plan includes the full 1,500+ operator catalog, ZeqState envelope, KO42 verification, and usage tracking. The API is live — test it before you buy.
Starter
per month
100 tokens/day for 14 days · 1,287/day with Starter. No card required.
What's Included
Builder
per month
Our most popular plan. Scale your application with 2,500 tokens per day.
Test the APIWhat's Included
Advanced
per month
For teams and production workloads that need 7,500 verified physics tokens per day.
Test the APIWhat's Included
Architect
per month
Enterprise-ready. 25,000 tokens/day with dedicated SLA and full platform access.
Test the APIWhat's Included
Need more? Talk to us about Enterprise — custom limits, dedicated support, and SSO.
INTERNET PROTOCOLS · AI ROBOTS · ORBITAL GUIDANCE · QUANTUM VERIFICATION · DIGITAL TWINS · ATMOSPHERIC COMMS
These are not future plans. Every use case below is callable today via POST /api/zeq/compute. The operators exist. The endpoints are live.
Maxwell's Equations — four lines that gave us electricity, light, and radio
"The imagination of nature is far, far greater than the imagination of man."
— Richard P. Feynman
⌁
Signal propagation, interference modelling, and antenna design driven by real electromagnetic operators — not approximations. Build network simulation tools from first principles.
⟡
Robotic control systems that ground their motion planning in verified Newtonian and fluid operators. The robot that knows it is subject to real gravity, real drag, and real torque limits — before it moves.
◎
Atmospheric entry calculations phase-locked to the HulyaPulse. Drag coefficients, thermal loading, and trajectory correction computed on demand — callable from any language in flight.
∿
Ionospheric modelling, tropospheric delay correction, and quantum key distribution routing all share the same frequency baseline. Cross-domain verification between atmospheric physics and quantum error rates — in one call.
⬡
Quantum circuit outputs verified against classical physics results at the same Zeqond timestamp. The only platform where quantum and classical results can be cross-checked against a shared mathematical clock.
⬛
Digital twins that do not merely simulate behaviour — they compute it from the same operators as the physical system. Structure, thermal, fluid, and electromagnetic domains running in phase. Every state verifiable.
These are not predictions. They are function calls. The API is live. Test it.
8 PLANETS · 1 ENGINE · THE PROBLEM NEWTON NEVER SOLVED · COMPUTATIONAL PRECISION · TOGGLE SYNC OFF · WATCH CHAOS
Every planet in this simulation moves under real gravitational N-body physics — no shortcuts, no pre-computed orbital paths. The N-body problem has no closed-form analytical solution for three or more bodies. The only way to solve it is computationally. ZEQ's substep loop, locked to the Zeqond [τ = 0.777 s], keeps all eight orbits phase-stable indefinitely. Toggle Sync off and watch which planets escape first. The same engine is ready to embed into game engines, spacecraft simulators, and digital twin environments.
Toggle ZEQ Sync off. Watch which planet escapes the system first.
ZEQDEV IS LIVE · 1,500+ catalogued operators · 64 DOMAINS · 1.287 HZ HULYAPULSE · 100 FREE TOKENS/DAY · NO CARD REQUIRED
[1,500+] operators across [64] domains,
synchronized to [1.287 Hz] HulyaPulse.
[100] free tokens/day. No card required.
The system is running. The API is live. The operators are verified.
The only question left is whether the math holds. Test it and find out.
RESEARCH TOOLS · SIMULATION PLATFORMS · AI AGENTS · DIGITAL TWINS · INDUSTRIAL SIMULATORS · TEST THE API FREE
Twenty applications are being built right now — research tools, simulation platforms, AI agents, demonstration software, industrial simulators, and digital twins — each one grounded in verified physics.
Research Tools
Simulation Platforms
Demonstration Apps
AI Agents
Digital Twins
Ready to build on ZEQ? Start with 100 free tokens/day — no card required. Or try MI Chat with a built-in free model — no API key needed.