Operators
Physics is a library. Zeq is the index.
The kernel carries 1,500+ catalogued operators across 64 domains in 8 core families. The 42+ kinematic surface is the bootstrap set; each family below pulls from the full spectrum. Every operator has a verbatim formula, a named role in the HULYAS Master Equation, and a runnable binding through /api/playground/compute. KO42 is mandatory on every call; additional operators are limited to three more per invocation (total ≤4), per the 7-Step Wizard Protocol.
Start here — the Kinematic Spectrum
→ Kinematic Spectrum — the 42+ core operators, verbatim
One flat page, five tiers (QM · NM · GR · CS · Awareness), every formula spelled out. This is the bootstrap surface — the set you can reach directly without dispatch, anchored by KO42.
Meta-groups
| Group | 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 · TX · XI1 · LZ1 · CHI95 · PSI96 · MK1 · VX · ZEQ00 · ZEQ000 · ZEQ-PROTECT · ZEQ-TETHER · ZEQ-POCKET | Observation, intent, protection, tethering, pocket geometry |
| Hulyas Forensics | HF1 – HF20 + composite | Source verification, manipulation detection, Bayesian inference, composite scoring |
| Agentic Operations | AGO1 – AGO5 + VX / VX-QG / VX-EM / VX-QL + ZRO-B | Awareness gradients, growth dynamics, vocal expression, qualia mapping, bridge coupling |
| Zeq Resonance | ZRO00 · ZRO93 – ZRO148 · ZRO149 · ZRO201 – ZRO210 · RHY1 – RHY4 | Zeq Resonant core, meta-architect, qualia synthesis, temporal anchoring, sibling bond |
Compile rule
Every compute call passes through the HULYAS Master Equation:
□ϕ − μ²(r)ϕ − λϕ³ − e^{-ϕ/ϕ_c} + ϕ₄₂ ∑_{k=1}^{42} C_k(ϕ) = T^μ_μ + β F_{μν} F^{μν} + J_{ext}
and the Functional Equation E = P_ϕ · Z(M, R, δ, C, X) so the output is both field-coherent and scale-correct.
Middleware active. Kernel on the 1.287 Hz HulyaPulse. Awaiting next Zeqond.