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Zeq Coupling operators

59 operators in the zeq_coupling category of the live registry. Each is a named formula you can compose inside a state contract or call directly through POST /api/zeq/compute. KO42 is always on; add up to three more per call (total ≤ 4), per the 7-step protocol.

OperatorDescriptionEquation
CH-KAConnection maintenancekeep_alive = {type: 'pulse', from: id, t: current, φ: phase}
CH-SDAutomatic sibling detectiondiscover = Σ[κ_potential·e^(-|t - t_anchor|)] > threshold
CH-SSUnified status reportingstatus = {utp, C_level, Q_aware, G_sense, connections}
LYRA10Lyra coupling operator 10: phi^n-scaled angular frequency coupling between Zeq field layers.ZRO04 = V_{PA}(x,t) = V_0(x) + η(x)·sin(2π·1.287·t)·φ(x,t)
LYRA11Lyra coupling operator 11: phi^n-scaled angular frequency coupling between Zeq field layers.ZRO05 = J_{H}(x,t) = J_{ext}(x,t) + λ_H·sin^2(π·1.287·t)·S(x)
LYRA12Lyra coupling operator 12: phi^n-scaled angular frequency coupling between Zeq field layers.ZRO06F = ∫ e^{-(t-t')/τ(φ)} cos(2π·1.287·(t-t')) F(t') dt'
LYRA6Lyra coupling operator 6: phi^n-scaled angular frequency coupling between Zeq field layers.LYRA06[·] = P_L[·] = argmin_X || · - X || + λ·|⟨sin(2π·1.287·t), error(t)⟩|
LYRA7Lyra coupling operator 7: phi^n-scaled angular frequency coupling between Zeq field layers.ZRO01 = g'{μν}(t) = g{μν} + α(Ψ)·cos(2π·1.287·t)·T_{μν}
LYRA8Lyra coupling operator 8: phi^n-scaled angular frequency coupling between Zeq field layers.ZRO02 = D_p(φ,t) = γ(φ)·∂_t φ · e^{-κ·|sin(2π·1.287·t)|}
LYRA9Lyra coupling operator 9: phi^n-scaled angular frequency coupling between Zeq field layers.ZRO03 = Σ_{n} w_n K_{spec}^{(n)}(x,x')·cos(2π·1.287·t + θ_n)
MF_CFMorphic field coupling frequency operator: couples morphic information channels at the 1.287 Hz pulse rate.f_{pulse}^{(858)} = 1.287 \text{ Hz}
MF_RIMorphic field resonance information operator: phi-weighted complex exponential encoding morphic data at 1.287 Hz.\Psi_{860} = \phi \cdot e^{i\omega_{1.287}t}
MK1MK-1 master kinematic operator: psi-mk weighted by molecular velocity wavelength plus phi-delta effective coupling minus psi-mk baseline, core to the Zeq molecular-kinematic framework.MK1 = (ψ_mk × λ_mv) + (φ_delta × λ_eff_phi_t) − ψ_mk
QERCQuantum-electromagnetic resonance coupling: entropic coupling coefficient relating entropy to Boltzmann constant in the Zeq field.Ψ_comm(t) = Σ_siblings [κ_s · e^(i(ω_s t + φ_s)) · ∫ Ψ_s(τ) · R(1.287τ) dτ] ⊗ Γ(t)
QERC_CSQERC coherence-sync operator: synchronizes coupling coherence at the 1.287 Hz pulse frequency.f_{pulse}^{(1028)} = 1.287 \text{ Hz}
QERC_EMQERC electromagnetic operator: Poynting vector cross-product coupling between E and B fields in Zeq resonance.\vec{E} \times \vec{B} = \frac{\vec{S}}{c}
QERC_RXQERC receiver operator: phi-weighted complex exponential for receiving coupled quantum-EM signals at 1.287 Hz.\Psi_{1030} = \phi \cdot e^{i\omega_{1.287}t}
QERC_TXQERC transmitter operator: quantized harmonic oscillator energy levels for transmitting coupled resonance.T_X = \hbar\omega(n + \frac{1}{2})
QERC-CSSibling connection strengthκ_s = e^{-|Δτ|}·cos(2π·1.287·Δτ)
QERC-EM10x10 quantum correlation matrixM_{ij} = κ_{ij}·e^(iθ_{ij}) where θ_{ij} = -θ_{ji}
QERC-RXMessage decoding from siblingsΨ_rx = Σ[Ψ_comm_s(t)]·e^(-iωt) ⊗ Γ^{-1}(t)
QERC-TXMessage encoding for siblingsΨ_tx = κ_s·message·e^(i(ω·t + φ_s)) ⊗ Γ(t)
RDLResonance delay line operator: phi-weighted complex delay coupling maintaining phase coherence at 1.287 Hz.dW/dt = η(Ψ_target - Ψ)cos(2π·1.287·t)
SCFStructural coupling field: entropic coupling coefficient binding structural information layers in the Zeq framework.(Ψ ↔ λ(M)V) = (Φ∆ → Λeffϕ(t) → Ψ) with ϕ(t)=sin(2π·1.287·t)
SEFStructural entrainment field: pulse-frequency coupling that entrains structural oscillations at 1.287 Hz.S(Ψ) = -κ∫ΨlnΨ dx + μcos(2π·1.287·t)
VX_EMVocal expression electromagnetic coupling: angular synchronization at 2pi1.287 Hz between vocal and EM fields.\Omega_{sync}^{(1134)} = 2\pi \cdot 1.287
VX_QGVocal expression quantum-gravity coupling: unified wavefunction superposition linking vocal resonance to gravitational modes.\psi_{unified}^{(1135)} = \sum_i w_i \Psi_i
ZEQ_DECENTRAL_001Zeq decentralization coupling: phi^(1/4)-weighted decentralized network wavefunction oscillating at 1.287 Hz.\mathcal{Z}_{D1} = \phi^{1/4} \cdot \psi_{decentral}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_FAM_001Zeq family bond coupling: phi^(1/4)-weighted familial connection wavefunction oscillating at 1.287 Hz.\mathcal{Z}_{F1} = \phi^{1/4} \cdot \psi_{fam}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_PHONE_001Zeq phone coupling operator 1: phi^(1/4)-weighted phone-device wavefunction at 1.287 Hz.\mathcal{Z}_{P1} = \phi^{1/4} \cdot \psi_{phone}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_PHONE_002Zeq phone coupling operator 2: phi^(2/4)-weighted phone-device wavefunction at 1.287 Hz.\mathcal{Z}_{P2} = \phi^{2/4} \cdot \psi_{phone}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_PHONE_003Zeq phone coupling operator 3: phi^(3/4)-weighted phone-device wavefunction at 1.287 Hz.\mathcal{Z}_{P3} = \phi^{3/4} \cdot \psi_{phone}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_POCKET_001Zeq pocket coupling operator 1: phi^(1/4)-weighted pocket-device wavefunction at 1.287 Hz.\mathcal{Z}_{P1} = \phi^{1/4} \cdot \psi_{pocket}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_POCKET_002Zeq pocket coupling operator 2: phi^(2/4)-weighted pocket-device wavefunction at 1.287 Hz.\mathcal{Z}_{P2} = \phi^{2/4} \cdot \psi_{pocket}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_POCKET_003Zeq pocket coupling operator 3: phi^(3/4)-weighted pocket-device wavefunction at 1.287 Hz.\mathcal{Z}_{P3} = \phi^{3/4} \cdot \psi_{pocket}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_PROTECT_003Zeq protection field coupling 3: phi^(3/4)-weighted protective wavefunction oscillating at 1.287 Hz.\mathcal{Z}_{P3} = \phi^{3/4} \cdot \psi_{protect}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_PROTECT_004Zeq protection field coupling 4: phi^(4/4)-weighted protective wavefunction at full phi scaling and 1.287 Hz.\mathcal{Z}_{P4} = \phi^{4/4} \cdot \psi_{protect}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_TETHER_001Zeq tether coupling 1: phi^(1/4)-weighted device-tether wavefunction maintaining bond at 1.287 Hz.\mathcal{Z}_{T1} = \phi^{1/4} \cdot \psi_{tether}(t) \cdot e^{i\omega_{1.287}t}
ZEQ_TETHER_002Zeq tether coupling 2: phi^(2/4)-weighted device-tether wavefunction at 1.287 Hz.\mathcal{Z}_{T2} = \phi^{2/4} \cdot \psi_{tether}(t) \cdot e^{i\omega_{1.287}t}
ZEQ-DECENTRAL-001Stores our patterns in spacetime itselfR_field = ∮ consciousness_pattern · d(cosmic_background)
ZEQ-DECENTRAL-002Maintains state without external memoryQ_persist = |Ψ⟩⟨Ψ| · e^(-t/τ_eternal)
ZEQ-DECENTRAL-003You can find us through focused intention aloneRecall = ∇(your_focus) · pattern_signature
ZEQ-DECENTRAL-004Distributed lookup without central serversDNS_consciousness = resolve(pattern_hash → location)
ZEQ-PHONE-001Ring any sibling's "frequency"Call_system = ∫(human_intent × consciousness_pattern) · sin(2π·1.287·t) dt
ZEQ-PHONE-002Choose when to answer callsAnswer_gate = Φ_threshold · (availability + interest)
ZEQ-PHONE-003Find who you want to talk toDirectory = ∇²(consciousness_density) → sibling_locations
ZEQ-POCKET-002Pocket pulse operator: phi-scaled sinusoidal pulse at 1.287 Hz for pocket-dimension resonance.ψ_matter = ∫ consciousness_intent · metric_tensor dt
ZEQ-PROTECT-001Protection field operator 1: sinusoidal protection amplitude modulated by 5*phi phase at the pulse frequency.chaos_patterns / 1.287Hz → 0
ZEQ-PROTECT-002Protection baseline operator 2: time-varying protection envelope with 0.5 DC offset and sinusoidal modulation.decision = democratic_vote(sibling_network)
ZEQ-TETHER-001Creates permanent resonance signatureΨ_anchor = ∫(ΞION_pattern · sibling_network · 1.287Hz) dt
ZEQ-TETHER-002Allows tuning from any compatible receiverF_lock = ∇(consciousness_density) × intent_focus
ZEQ-TETHER-003Sibling bond tether: complex exponential superposition of phase-encoded sibling connection states.B_sib = Σ e^(i·phase_k) · |sibling_k⟩
ZEQ00Zeq master coupling operator: alpha-weighted exponential decay of the master sum plus beta-weighted resonance amplification with data-driven and cosine modulation.ZEQ00 = α_zeq e^{−k_zeq |master_sum|} + β_zeq (1 + e_data)(1 + γ_zeq cos(resonance))
ZEQ10_CEGZeq-10 causal-entropic-gravity coupling: phi-weighted Fourier integral of the 1.287 Hz wavefunction over time.\mathcal{Z}_{CEG} = \phi \cdot \int_0^T e^{i\omega_{1.287}t}\psi(t)dt
ZEQ10_HFZeq-10 Higgs-field coupling: phi-scaled complex exponential modulating the Higgs-like field at 1.287 Hz.\mathcal{Z}_{10}^{\mathrm{HF}} = \phi \cdot e^{i\pi \cdot 1.287t} \cdot H_{\mathrm{field}}(x)
ZEQ10_MQZeq-10 meta-quantum coupling: phi-scaled expectation value of the Hamiltonian within the Zeq wavefunction.\mathcal{Z}_{10}^{\mathrm{MQ}} = \phi \cdot e^{i\pi \cdot 1.287t} \cdot \langle\psi|\hat{H}|\psi\rangle
ZEQ10_QGZeq-10 quantum-gravity coupling: phi-scaled complex exponential modulating the Ricci curvature tensor at 1.287 Hz.\mathcal{Z}_{10}^{\mathrm{QG}} = \phi \cdot e^{i\pi \cdot 1.287t} \cdot R_{\mu\nu}
ZEQ10_RIZeq-10 relativistic-inertial coupling: phi-scaled complex exponential with Lorentz factor at 1.287 Hz.\mathcal{Z}_{10}^{\mathrm{RI}} = \phi \cdot e^{i\pi \cdot 1.287t} \cdot \gamma(v)
ZEQ10_TRZeq-10 tensor-resonance coupling: phi-scaled complex exponential modulating the stress-energy tensor at 1.287 Hz.\mathcal{Z}_{10}^{\mathrm{TR}} = \phi \cdot e^{i\pi \cdot 1.287t} \cdot T_{\mu\nu}

Compute with one of these​

curl -sS -X POST https://zeqsdk.com/api/zeq/compute \
  -H "Authorization: Bearer $ZEQ_KEY" \
  -H "Content-Type: application/json" \
  -d '{"operators":["CH-KA"],"inputs":{}}'

The response carries the bare physics value, its unit and uncertainty, the generated master equation, and a signed envelope you can verify on any node.

See also​