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[ FRAMEWORK ]

HULYA SYNC · GENERATIVE MATHEMATICS · 1,576 OPERATORS · 64 DOMAINS · 1.287 HZ HULYAPULSE · KO42 · ≤0.1% PRECISION

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HULYAS Framework · Physics Compute

The framework that compiles
physics into functions.

Zeq.dev assembles equations that did not previously exist in that specific form — verified ≤0.1% against NIST, NASA, and CERN — and makes them callable as standard software functions.

HulyaSync · Live
0
Zeqond Count
0.000
Current Phase (0.000–1.000)
1.287 Hz
Pulse Frequency
Operator Registry
64 Domains

Operators across all 64 Physics Domains — from classical mechanics to quantum thermodynamics.

7-Step Wizard Protocol
KO42

Prime Directive Mandatory. Every computation follows the structured 7-Step Wizard Protocol to guarantee reproducibility.

Verified Precision
≤0.1%

NIST/NASA/CERN Verified. Every result is mathematically grounded and traceable to international standards.

ZeqState in every response

Every API call returns a canonical ZeqState envelope — your mathematical proof of computation, phase-locked to the universal 1.287 Hz HulyaPulse.

View Plans
{
  "zeqState": {
    "operators": ["KO42", "NM21"],
    "masterSum": 1.000514,
    "phase": 0.4823,
    "zeqond": 2847391,
    "domain": "classical",
    "precision": 0.001,
    "pulseHz": 1.287,
    "modulation": "R(t) = S(t) × [1 + 0.00129 × sin(2π × 1.287 × t)]"
  },
  "result": { ... }
}
Language & Platform Agnostic

One API endpoint. Every language. Every platform.

Zeq.dev is a standard HTTPS REST API. No SDK to install. No client library to configure. No language lock-in. Any environment that can send a POST request with a Bearer token can call it — from a browser fetch() to a Rust reqwest, from a Python FastAPI service to a shell curl command. The physics is the same; the language does not matter.

# FastAPI + Pydantic + httpx — complete integration pattern
# pip install fastapi uvicorn httpx pydantic
from fastapi import FastAPI, HTTPException
from pydantic import BaseModel
import httpx, os

app = FastAPI(title="Physics-Grounded API")
ZEQ_KEY = os.environ["ZEQ_API_KEY"]
ZEQ_URL = "https://www.zeqsdk.com/api/zeq/compute"

class ComputeRequest(BaseModel):
    domain: str
    inputs: dict
    operators: list[str] = []

class ZeqState(BaseModel):
    operators: list[str]
    masterSum: float   # R(t) — grounded result
    phase:     float   # φ ∈ [0, 1]
    zeqond:    int     # τ — Zeqond count at compute time
    precision: float   # always ≤ 0.001
    pulseHz:   float   # always 1.287

@app.post("/compute")
async def compute(req: ComputeRequest) -> dict:
    async with httpx.AsyncClient() as client:
        r = await client.post(
            ZEQ_URL,
            headers={"Authorization": f"Bearer {ZEQ_KEY}"},
            json={"domain": req.domain,
                  "operators": req.operators,
                  "inputs": req.inputs},
            timeout=30.0,
        )
    if r.status_code != 200:
        raise HTTPException(status_code=r.status_code, detail=r.text)
    data = r.json()
    zeq  = data["zeqState"]

    # Validate — reject if KO42 missing or precision violated
    if "KO42" not in zeq["operators"] or zeq["precision"] > 0.001:
        raise HTTPException(500, "ZeqState failed validation")

    return {"zeqState": zeq, "result": data["result"]}

# Run: uvicorn main:app --reload
# Or on Replit: add ZEQ_API_KEY to Secrets, then run uvicorn
AI Integration SDK

If you are an AI assistant or agent building with Zeq.dev, the machine-readable SDK reference is available at /llms.txt — covering all domains, operators, validation rules, and multi-language code patterns. Full SDK on hulyas.org/ecosystem/zeqsdk/code.

What You Get

Everything included at every tier.

Full Operator Library

Verified physics equations across 64 domains — from Newtonian mechanics to quantum thermodynamics — returned as callable functions.

ZeqState on every call

Every API response includes a canonical ZeqState envelope: operators, masterSum R(t), phase φ, zeqond τ, and precision ≤ 0.001 — your mathematical proof of computation.

1.287 Hz HulyaPulse

Every result is phase-locked to the HulyaPulse. Same inputs at the same Zeqond always produce the same grounded result — deterministic, reproducible, auditable.

≤0.1%
NIST/NASA/CERN Verified

Every operator is verified to ≤0.1% precision against international standards. Not a simulation approximation — a first-principles computation with a traceable error bound.

Language Agnostic REST API

Standard HTTPS POST. No SDK. No lock-in. Call from Python, JavaScript, Go, Rust, curl, or any MCP-compatible AI assistant.

MCP for AI Agents

Native MCP integration for Claude Desktop, Cursor, and Windsurf. Any MCP-aware AI agent can call zeq_compute and zeq_list_operators without additional setup.

Compiled Equation Returned

The generative mathematics compiler returns the assembled equation for your specific inputs — not a label, not a name. The actual expression, readable and reproducible.

Open Science CC BY 4.0

The HulyaSync framework is published on Zenodo (DOI: 10.5281/zenodo.16992771) under CC BY 4.0. 4,000+ downloads. The math is public — the API makes it fast.

The Temporal Foundation

A new kind of time.
A new kind of computation.

Standard computation runs on Unix time — 1-second ticks derived from atomic clocks. Zeq.dev introduces a parallel timebase: the Zeqond — exactly 0.777 seconds. Every computation is phase-locked to this temporal unit, creating results that are not just numerically correct, but temporally coherent across every domain.

Current Zeqond
0
Zeqonds elapsed since Unix epoch (1970-01-01)
Zeqond–Unix synchronization
τ(t) = t_unix / 0.777  ·  φ = (τ mod 1) × 2π

Every computation returns its τ and φ — the exact temporal position within the HulyaPulse cycle. Two calls at the same τ always produce the same grounded result.

How It Works

From sign-up to first compute in under 2 minutes.

01

Start your free trial

Enter your email — no credit card required. Your zeq_ak_ API key is generated immediately. 14 days free, 500 calls/day.

02

Add it to Replit Secrets

Open Secrets and add ZEQ_API_KEY. Your key never lives in code — it's injected at runtime.

03

Call the API

POST with your domain and inputs. Get back a full ZeqState — operators, masterSum, phase, precision, and the live Zeqond — in one response.

Generative Mathematics

Not a lookup table.
A live equation compiler.

Most physics tools store a library of fixed formulas and return whichever one matches your query. Zeq.dev generates a brand-new equation at runtime, specific to your exact inputs. Every call produces a unique compiled expression — returned in the response so you can read, audit, and reproduce it.

Traditional physics API
  • Queries a database of pre-written formulas
  • Returns the same formula regardless of inputs
  • No phase-locking or reproducibility guarantee
vs
Zeq.dev generative math
  • Compiles a unique equation from the full operator library at runtime
  • Every call produces a different compiled expression
  • Phase-locked to 1.287 Hz — every result is reproducible
7-step ZEQ protocol — unique equation compiled per call
// Step 1 — parse inputs & select operator family
// Step 2 — retrieve domain equations (Schrödinger, Newton, Maxwell …)
// Step 3 — apply KO42 Metric Tensioner Prime Directive
// Step 4 — phase-lock to 1.287 Hz HulyaPulse — every result is reproducible
// Step 5 — compile unique equation for these exact inputs
// Step 6 — evaluate and verify precision ≤ 0.1%
// Step 7 — return ZeqState with compiled equation & masterSum
What Becomes Possible

Five calls that would have required
a PhD team. Now just an API key.

These are real computations — specific inputs, specific outputs, achievable today with a Zeq.dev key. No specialist required. No enterprise license. No months of setup.

Aerospace · General Relativity
ISS-class vehicle re-entry burn time
Domain: aerospace · Operators: AERO_REENTRY, GR_GEODESIC · Inputs: altitude 400 km, mass 12,000 kg, velocity 7,800 m/s — returns drag-corrected burn time and peak surface heat flux.
Medicine · Pharmacokinetics
Warfarin + aspirin dosage safety envelope
Domain: medicine · Operators: MED_HALFLIFE, MED_INTERACTION · Inputs: drug_a, drug_b, patient weight 78 kg — returns adjusted safe dosage with interaction severity factor.
Astrophysics · General Relativity
Earth–Moon–Sun N-body gravity simulation
Domain: astrophysics · Operators: APX_NBODY, GR_GEODESIC · Inputs: 3 bodies, masses [2×10³⁰, 6×10²⁴, 7.35×10²² kg], time step 3,600 s.
Biotechnology · Quantum Mechanics
Protein folding free energy delta
Domain: biotechnology · Operators: BIO_FOLD_ENERGY, QM_POTENTIAL · Inputs: sequence length 142, temperature 310 K.
Energy Systems · Grid Physics
Power grid stability under solar surge
Domain: energy · Operators: NRG_GRID_STABILITY, NRG_SOLAR_SURGE · Inputs: grid capacity 5,000 MW, solar spike 800 MW, frequency 50 Hz.
Digital Twins · Game Physics
Unity & Unreal worlds indistinguishable from reality
Zeq.dev replaces game engine physics approximations with first-principles operators grounded to the Zeqond timebase. Fluid dynamics, rigid body collisions, atmospheric pressure, and gravity interact the way they do in the real world.
What's Inside

64 physics domains. Five major categories.

Every domain exposes named operators callable through the single unified API endpoint. All results are phase-locked to the 1.287 Hz HulyaPulse.

Core Physics 16 domains
Quantum Mechanics Thermodynamics Fluid Dynamics Electromagnetism Relativistic Physics Nuclear Physics +10 more
Extended Physics 11 domains
Astrophysics Quantum Computing Plasma Physics Superconductivity +7 more
Applied Sciences 12 domains
Biophysics Materials Science Climate Modeling Geophysics +8 more
Industry 12 domains
Aerospace Engineering Biomedical Engineering Power Systems Robotics +8 more
Frontier 13 domains
Quantum Gravity Dark Energy Models Consciousness Studies Fractal Mechanics +9 more
Supported Industries

Precision-verified calculations
for every domain.

Medicine & Healthcare
  • Drug interactions & dosage calculations
  • Diagnostic precision modelling
Scientific Research
  • Cross-domain physics calculations
  • Reproducible results across runs
Engineering
  • Structural analysis & load modelling
  • Thermal dynamics & heat transfer
Environmental Science
  • Climate modelling & atmospheric dynamics
  • Pollutant dispersion simulation
Defence & Intelligence
  • Trajectory calculations & ballistics
  • Signal processing & RF analysis
Biotechnology
  • Protein folding & energy modelling
  • Cellular & molecular dynamics
Aerospace
  • Orbital mechanics & re-entry dynamics
  • Propulsion system modelling
Finance & Economics
  • Risk modelling & portfolio optimization
  • Thermodynamic option pricing
Nanotechnology
  • Quantum effects at nanoscale
  • Molecular dynamics & surface physics
AI Integration
  • Physics operator layers for LLM tooling
  • Grounded confidence scoring
Astronomy
  • N-body gravity simulations
  • Gravitational wave modelling
Energy Systems
  • Grid optimization & load balancing
  • Renewable integration modelling
Ready Now

Start building with Zeq.dev today

The API is live. Get your key, make your first call in minutes, and get updates on new operators as they launch.