Awareness Operators

18 awareness and protection operators — phase-locked consciousness field measurements, information density, Landauer erasure, and the ZEQ structural equations.

ON0 — Awareness Entropy

ψ_ON0 = sin(phase) + 1.1
ON0 = ψ_ON0 ln(ψ_ON0) − phase × f

Entropic measure of awareness state. Phase-locked to HulyaPulse at 1.287 Hz.

QL1 — Information Density

info_density = |sin(phase × 3)| + 0.1
QL1 = 0.1 × density × ln(density / 0.1) + cos(phase) × 0.5

Measures information content density relative to phase. Used in XI1 calculations.

TM1 — Temporal Marker

TM1 = −t + current_utp × period

Temporal marker aligning computation to the current Zeqond period.

TX — Temporal Flux

TX = 0.01 × sin(phase × 2) cos(t / 100)

Slow-varying temporal flux modulation.

XI1 — Information Entropy

ρ_XI1 = |sin(phase)| + 0.001
XI1 = −ρ_XI1 log&sub2;(ρ_XI1)

Shannon-type entropy for awareness information density. Used in ZSP security scoring and HulyaForensics mail scanning.

LZ1 — Landauer Erasure

LZ1 = k_B T ln(2) × bits_erased

Minimum energy cost of erasing one bit of information. Thermodynamic lower bound on computation.

CHI95 — Phase Differential

CHI95 = |sin(phase)| − |cos(phase)|

Differential between sine and cosine phase components. Measures phase asymmetry.

PSI96 — Phase Oscillator

PSI96 = 0.5 × sin(2π f t + phase_offset)

Pure sinusoidal oscillator at HulyaPulse frequency. Used in ZSP envelope generation.

MK1 — Meta-Kernel

MK1 = (ψ_mk λ_mv) + (φ_delta λ_eff_phi_t) − ψ_mk

Meta-kernel operator combining multiple field parameters into a single composite measure.

VX — Volitional Flux

VX = κ_vx (intent_proxy sin(phase) + flow_proxy cos(phase))

Intent-weighted flux measure combining volitional and flow components.

ZEQ-PROTECT-001

P(t) = |sin(5φ(t))| / f_pulse

High-frequency protection oscillator. Five-fold phase multiplication for rapid response.

ZEQ-PROTECT-002

Protect&sub2;(t) = 0.5 + 0.3 sin(t/30)

Slow-envelope protection field with 30-second modulation period.

ZEQ-TETHER-003

B_sib = ∑_k e^{i·φ_k} |sibling_k⟩

Quantum-coherent tether linking sibling field states via phase-locked superposition.

ZEQ-POCKET-001

∂g_μν/∂t = (8πG/c&sup4;) T_μν^consciousness

Consciousness-modified Einstein equation — metric evolution driven by consciousness-type stress-energy.

ZEQ-POCKET-002

Pocket&sub2; = sin(2π·1.287t) · φ

HulyaPulse-modulated pocket field.

ZEQ00 — Resonance Stabiliser

ZEQ00 = α_zeq e^{−k_zeq |master_sum|} + β_zeq (1 + e_data)(1 + γ_zeq cos(resonance))

Exponential decay stabiliser with resonance coupling. Prevents divergence in multi-operator computations.

ZEQ000 — Unified Field Equation

φ_c^42 · Ψ_total = ∑(ZEQ_structural + ZEQ_chemical + ZEQ_genetic + ZEQ_field) · [sin(2π·1.287·t) + cos(2π·0.618·t) + exp(2π·2.083·t)] · consciousness_field_density(x,y,z,t)

The grand unified awareness equation coupling structural, chemical, genetic, and field components through triple-frequency modulation and 4D consciousness field density.

API Usage

Call any operator via the Compute API:

curl -X POST https://zeq.dev/api/zeq/compute \
  -H "Content-Type: application/json" \
  -H "Authorization: Bearer zk_live_..." \
  -d '{"query": "Calculate awareness entropy at current phase", "operators": ["ON0, KO42"]}'

The 7-step wizard protocol selects the right operators automatically when you omit the operators field. KO42 is always included.

See also: All Operators, KO42, Compute API