Loka Light

Conceptual intro

• Multipolarity: signals are distributions over N poles instead of binary (+/−); LokaCn and MultipolarValue keep the algebra and Σ‑balance.
• Pseudomultipolar cascades: Σ (or a weighted linear form Σ_c = ∑(cᵢ·aᵢ)) is controlled by M/N/NX stages (physics.sigma, devices.sigma_guard.SigmaGuard) so that a common component is removed before decoding.
• Volumetric path (lightweight): MultipolarOscillator → TX/RX antennas → receiver form a simple medium/communication chain; geometry_profile is a label, not a full 3D field model.
• Pseudo‑quantum layer: CPU/NumPy states via MultiConjugateFunction with scalar probability_density() (= Σ|ψ|^k, k=n_conjugates, aliases: conjugacy_density()/conjugacy_norm()) and tensor probability_tensor() for simple “quantum‑like” experiments.

Minimal code examples

1. Basic 4‑pole loka and Σ‑aware value

from loka_light.core.algebras import LokaCn
from loka_light.core.value import MultipolarValue

loka = LokaCn(4, "add", "C4_add", ["A", "B", "C", "D"])
mv = MultipolarValue(loka, {"A": 1.0, "C": -1.0})

print("mv:", mv)
print("collapsed:", mv.collapse())  # complex number with Σ structure

2. SigmaGuard as a one‑line Σ→0 purification

from loka_light.core.algebras import LokaCn
from loka_light.core.value import MultipolarValue
from loka_light.devices.sigma_guard import SigmaGuard

loka = LokaCn(3, "add", "C3_add", ["P0", "P1", "P2"])
mv = MultipolarValue(loka, {"P0": 1.0, "P1": 0.5, "P2": -0.2})

guard = SigmaGuard()
mv_clean = guard.apply(mv)

print("residual before:", guard.residual(mv))
print("residual after:", guard.residual(mv_clean))

Advanced: pass linear_coeffs=[...] to enforce a weighted linear law ∑(cᵢ·aᵢ)→0 instead of plain Σ.

3. Simple pseudo‑quantum state with tensor metric

import numpy as np
from loka_light.physics.multipolar_wave import MultiConjugateFunction

psi = MultiConjugateFunction([1.0 + 0.0j, 1.0j], n_conjugates=2)

print("probability_density:", psi.probability_density())
print("probability_tensor:\n", psi.probability_tensor())

Installation

pip install loka-light

Development

python -m venv .venv
source .venv/bin/activate
pip install -e .[dev]

Running Demo Scenarios with python

Each scenario is a plain function living under loka_light.applications.scenarios. Invoke them with python - <<'PY' ... PY blocks (or adapt for your favourite runner). The commands below write their artefacts into runs/ subdirectories.

1. Object Polarity Scan

python - <<'PY'
from loka_light.applications.scenarios import object_polarity_scan
object_polarity_scan({})
PY

2. Secure Transmission Chain

python - <<'PY'
from loka_light.applications.scenarios import secure_transmission
secure_transmission({})
PY

Note on regimes: the secure chain uses the volumetric path (oscillator → TX/RX antennas → receiver) for propagation in a medium, while Σ‑projection (M/N) is a separate pseudomultipolar stage (see devices/sigma_guard.py) applied at O2/O3 to remove the common component before decoding.

3. Electrolyser Stage Update

python - <<'PY'
from loka_light.applications.scenarios import electrolyser_stage
electrolyser_stage({})
PY

4. Polarisation Field Split

python - <<'PY'
from loka_light.applications.scenarios import polarization_field
polarization_field({})
PY

5. Property Transfer Chain with Shared Mind

python - <<'PY'
from loka_light.applications.scenarios import property_transfer_chain
property_transfer_chain({})
PY

6. Structuring Field Application

python - <<'PY'
from loka_light.applications.scenarios import structuring_field
structuring_field({})
PY

7. Pseudo M→NX→RX Chain (Σ trace)

python - <<'PY'
from loka_light.applications.scenarios import pseudo_mnx_chain
pseudo_mnx_chain({"n": 6, "k": 3, "sections": 3, "bits": [1,0,1]})
PY

Writes runs/pseudo_mnx_chain/trace.json with the |Σ| values and complex Σ residual (re/im) after each NX section, plus the decoded index after Σ purification. Set "linear_coeffs": [...] to trace/clean a weighted linear form Σ_c = ∑(cᵢ·aᵢ).

8. Pseudo‑Quantum H→Phase→H→Measure

python - <<'PY'
from loka_light.applications.scenarios import pseudo_quantum_hadamard_phase

pseudo_quantum_hadamard_phase({
    "shots": 256,
    "phase_angle": 1.0471975512,  # ~pi/3
    # "outdir": "runs/pseudo_quantum_hadamard",  # optional
})
PY

Writes summary.json under the chosen outdir with the measurement histogram, Σ trace by stage and a snapshot of the final state.

DSP/physics‑toy demos (NumPy)

These scenarios write machine‑readable artefacts (JSON/NPZ) under runs/ so you can inspect Σ traces, witness values, and projection losses without notebooks.

9. Pseudo‑Quantum Witness Pack (CHSH/CGLMP + Σ‑noise)

python - <<'PY'
from loka_light.applications.scenarios import pseudo_quantum_witness_pack
pseudo_quantum_witness_pack({"seed": 123, "epsilon": 0.2})
PY

Writes runs/pseudo_quantum_witness_pack/summary.json with CHSH/CGLMP values and Σ‑invariant vs generic noise deltas (same seed/ε).

10. Pseudomultipolar Time‑Series Cascade (M→NX)

python - <<'PY'
from loka_light.applications.scenarios import pseudomultipolar_timeseries_demo
pseudomultipolar_timeseries_demo({"n": 6, "steps": 256, "sections": 3, "tap": 0.5, "seed": 123})
PY

Writes runs/pseudomultipolar_timeseries/series.npz (O1/O2/O3 signals + traces) and summary.json (mean |Σ| per stage, monotonicity, RX mismatch metrics). Set "linear_coeffs": [...] to measure/clean a weighted linear form Σ_c = ∑(cᵢ·aᵢ).

11. Translation Gap (n→2 projection)

python - <<'PY'
from loka_light.applications.scenarios import translation_gap_demo
translation_gap_demo({"n": 6, "seed": 123})
PY

Writes runs/translation_gap/gap.npz and summary.json with visibility/loss metrics for a matched vs mismatched 2‑pole projection after Σ purification.

Cascade Map (M → N/NX → RX)

  Pseudomultipolar (network)                       Volumetric (field)
  ┌──────────────┐   O1    ┌─────────┐   O2  ┌──────────┐  medium ┌──────────┐   O3  ┌──────────┐
  │  Block M     ├────────►│  N / NX │──────►│ TX ant.  │────────►│ RX ant.  │──────►│  Decoder │
  │ (sum 2‑pole) │  rel.G  │ Σ→0     │ rel.G │ gain+loss│         │ gain+loss│       │ (argmax) │
  └──────────────┘         └─────────┘       └──────────┘         └──────────┘       └──────────┘

• O1 (relative ground): summation node of PseudoBlockM (pseudomultipolar M‑stage).
• O2 (relative ground): SigmaGuard applies N or NX to drive Σ→0 before decode.
• TX/RX antennas: use gain and optional loss_db to model simple attenuation.
• Frequency: carried in WaveMetadata.frequency_hz and used by the receiver for compatibility.

Relevant APIs

• M‑stage: devices.pseudomultipolar.PseudoBlockM, devices.pseudomultipolar.BipolarSource.
• Σ‑stage: physics.sigma (P⊥/N/NX, sigma_residual, linear_coeffs), devices.sigma_guard.SigmaGuard.
• Volumetric: devices.sources.MultipolarOscillator (with geometry_profile label), devices.communication.MultipolarAntenna (gain/loss), devices.detectors.MultipolarReceiver.

Pass keyword arguments through the dictionary literal to tweak behaviour; for example, set {"outdir": "runs/custom_scan", "true_polarity": 8} when calling object_polarity_scan.

Direct Device Experiments

Sample notebook-free loop for the devices:

python - <<'PY'
from loka_light.cognition.models import NPoleMind
from loka_light.devices.sources import MultipolarOscillator, NBranchInductor, MultiPlateCapacitor
from loka_light.devices.communication import MultipolarTransmitter
from loka_light.devices.detectors import MultipolarReceiver

mind = NPoleMind(n=4, output_mode="mv")
inductor = NBranchInductor("L", ("n1", "n2"), n_branches=1, l_each=1e-3)
capacitor = MultiPlateCapacitor("C", ("n1", "n2"), n_plates=2, c_single=1e-6)

osc_tx = MultipolarOscillator([inductor], [capacitor], mind=mind)
osc_rx = MultipolarOscillator([inductor], [capacitor], mind=mind)

transmitter = MultipolarTransmitter(osc_tx, mind=mind)
receiver = MultipolarReceiver(osc_rx, mind=mind)

wave = transmitter.transmit([1, 2, 3])
receiver.receive(wave)
print(receiver.demodulate())
PY

Pseudo‑Quantum CPU Simulator (multipolar)

The CPU implementation of the pseudo‑quantum simulator lives under loka_light.simulation.multipolar_pseudo_quantum and works directly with MultiConjugateFunction states.

Quick inline demo:

python - <<'PY'
import numpy as np

from loka_light.simulation import multipolar_pseudo_quantum as mpq

# Minimal H → phase → H → measure scenario
summary = mpq.hadamard_phase_measure_demo(shots=256, seed=42)
print("counts:", summary["counts"])

# Inspect correctness vs analytic reference
report = mpq.single_qubit_correctness_demo(phase_angle=np.pi/3, shots=1024, seed=123)
print("variation_distance:", report.variation_distance)
PY