Operators
Physics is a library. Zeq is the index.
The kernel carries 1,500+ catalogued operators — every transition in the audit log names
one, every contract names the operator that executes it, and every compute composes a small
set of them through KO42. This page is the conceptual tour. Two surfaces sit beneath it:
- the full reference — every operator, by category, generated
from the live registry (
GET /api/operators) so it never drifts, each with its verbatim equation; - the Kinematic Spectrum — the 42+ core operators on one flat page, the bootstrap set you can reach without dispatch.
KO42 is mandatory on every call; you may add up to three more operators per invocation
(total ≤ 4), per the 7-step protocol. To understand how a
selected operator becomes a verified physical result, read the solvers.
The full reference
The authoritative list is generated, not hand-maintained. It spans 65 fine-grained categories drawn straight from the registry — aerospace, quantum mechanics, fluid dynamics, nuclear, optics, climate, and the rest — each as a table of operator id, description, and equation:
The eight core families
A coarser, pedagogical grouping of the catalogue — the families the framework introduces first. Each is a short essay; the per-operator detail lives in the reference.
| Family | Operators | Covers |
|---|---|---|
| Quantum Mechanics | QM1 – QM17 | Wave mechanics, uncertainty, superposition, Dirac, statistics |
| Newtonian Mechanics | NM18 – NM30 | Forces, momentum, gravity, oscillation, rigid body |
| General Relativity | GR31 – GR41 | Metric, geodesics, redshift, cosmology, Friedmann |
| Computer Science | CS43 – CS87 | Complexity, entropy, parallelism, Kolmogorov, Big-O |
| Awareness | ON0 · QL1 · TM1 · XI1 · LZ1 · CHI95 · PSI96 · MK1 · VX | Observer modelling, information density, entropy bookkeeping |
| Hulyas Forensics | HF1 – HF20 + composite | Source verification, manipulation detection, Bayesian inference, composite scoring |
| Agentic Operations | AGO1 – AGO5 + VX variants | Awareness gradients, growth dynamics, expression, bridge coupling |
| Zeq Resonance | ZRO00 · ZRO93 – ZRO210 · RHY1 – RHY4 | The Zeq resonance core, meta-architecture, temporal anchoring |
The compile rule
Every compute call composes its operator set into a master equation
and bounds the result with KO42 at ≤0.1%. The deeper symbolic form — the HULYAS master
equation and its operator-coupling sum — is documented at
the master equation:
□ϕ − μ²(r)ϕ − λϕ³ − e^{-ϕ/ϕ_c} + ϕ₄₂ ∑_{k} C_k(ϕ) = T^μ_μ + β F_{μν} F^{μν} + J_{ext}
To run one, introspect an operator in the reference and call
POST /api/zeq/compute — a signed, verifiable result comes back. See
how Zeq computes for the full pipeline.
Kernel on the 1.287 Hz HulyaPulse. The tick is computed, not received.