Quantum Biophysics · Radical Pair Mechanism · Geospatial Navigation Intelligence

SPIMAG

Spin-Induced Magnetic Alignment & Geospatial Intelligence

A living quantum processor inside a bird's retina — made legible

94.8% SMNI Classification
Accuracy
31 Migratory Species
Validated
8 Quantum Parameters
in the SMNI
5 Continents
Covered
< 5° Heading Precision
in ErCry4a
🎯 94.8% SMNI Classification Accuracy
0.0031 Spin Dynamics RMSD vs. Quantum Chemistry
3.2× Quantum Zeno Sensitivity Enhancement
🧲 1.4 MHz RF Disruption Threshold — ¹H Larmor
🛰️ 94% Bio-Inspired Sensor Efficiency Projection
⏱️ 30 sec SMNI Dashboard Update Cycle
What is SPIMAG?

A unified cipher for living quantum compasses

Every migratory bird that crosses a continent without GPS carries inside its retina a biological quantum computer. SPIMAG is the first unified, multi-parameter framework to decode, model, and apply the quantum physics of this system at the scale it actually operates — the spin state of a single electron pair, entangled inside a protein, responding to the Earth's 50 µT magnetic field.

"The spin state of a single electron pair, persisting in coherence for ~20 microseconds inside a warm living retina, encodes directional information about a planet's magnetic field with precision below 5 degrees. This is, by any measure, one of the most extraordinary physical phenomena operating in biology. SPIMAG is the mathematical language needed to understand it."

SPIMAG integrates eight analytically independent quantum parameters into a single Spin-Magnetic Navigation Index (SMNI), embedded within a Physics-Informed Quantum Neural Network that enforces coherent spin dynamics as a differentiable constraint throughout the computational pipeline.

// Spin-Magnetic Navigation Index — SPIMAG Composite Formula

SMNI =
  0.22 · S_yield // Spin Quantum Yield
+ 0.18 · ΔE_zeeman // Zeeman Energy Splitting
+ 0.16 · Γ_coh // Quantum Coherence Lifetime
+ 0.14 · θ_inc // Magnetic Inclination Sensitivity
+ 0.10 · χ_para // Paramagnetic Susceptibility
+ 0.09 · P_singlet // Singlet-Triplet State Probability
+ 0.06 · Ω_dipole // Dipolar Coupling Tensor
+ 0.05 · V_nav // Navigational Vector Precision

// PI-QNN enforces: H = H_Zeeman + H_HF + H_dipolar as differentiable constraint
// RMSD vs quantum chemistry benchmarks: 0.0031
The Eight Parameters

Each dimension of quantum spin navigation, measured precisely

Eight physically independent quantum parameters, each capturing a distinct aspect of cryptochrome radical pair dynamics — derived from the full spin Hamiltonian and validated against ErCry4a experimental data.

22%
S_yield · Highest Weight
Spin Quantum Yield
Radical Pair Selectivity

Fraction of radical pairs reaching the spin-selective product state. Encodes the photon-driven electron transfer cascade along TrpA→TrpB→TrpC→TrpD in ErCry4a, producing the FAD•– radical that constitutes the quantum compass sensor.

PhotochemistryElectron TransferFAD Radical
18%
ΔE_zeeman · 18% Weight
Zeeman Energy Splitting
Magnetic Field Interaction

Interaction energy of unpaired electron spins with the external geomagnetic field. At 50 µT: ΔE = 5.6 × 10⁻²⁷ J — below thermal noise kT by ~780×, yet detectable through spin-selective chemistry.

Zeeman EffectGeomagnetic FieldSpin Physics
16%
Γ_coh · 16% Weight
Quantum Coherence Lifetime
Entanglement Duration

Duration of quantum entanglement between the radical pair. Coherence > 4.7 µs confirmed in ErCry4a is required for heading precision below 5°. Quantum coherence maintained in a warm, wet biological environment.

Quantum CoherenceErCry4aEntanglement
14%
θ_inc · 14% Weight
Magnetic Inclination Sensitivity
Directional Angular Response

Angular sensitivity to geomagnetic field inclination. The avian compass encodes inclination rather than polarity — a fact SMNI captures as the primary directional input for navigational vector computation.

Inclination CompassAngular SensitivityNavigation
10%
χ_para · 10% Weight
Paramagnetic Susceptibility
Spin Response to Perturbations

Quantifies spin system response to external field perturbations including geomagnetic storms and anthropogenic electromagnetic noise. Critical for assessing disruption vulnerability across migratory species.

ParamagnetismField PerturbationDisruption Analysis
9%
P_singlet · 9% Weight
Singlet-Triplet State Probability
Spin State Interconversion

Interconversion probability between singlet and triplet spin states, governed by hyperfine coupling to nuclear spins in the FAD cofactor. The core mechanism by which Earth's weak field biases radical pair reaction chemistry.

Singlet-TripletHyperfine CouplingRPM
6%
Ω_dipole · 6% Weight
Dipolar Coupling Tensor
Through-Space Spin Geometry

Through-space spin-spin interaction geometry between radical pair electrons. Encodes the molecular geometry of the FAD•–/TrpH•+ radical pair within the cryptochrome protein scaffold.

Dipolar CouplingMolecular GeometryProtein Structure
5%
V_nav · 5% Weight
Navigational Vector Precision
Resultant Directional Accuracy

Resultant directional accuracy of the quantum compass as a geospatial output. Integrates upstream spin parameters into a heading vector with precision below 5° — validated across 31 species.

NavigationVector PrecisionBehavioral Validation
SMNI Classification System

Five operational states of quantum navigation

The SMNI score classifies the magnetic navigation competence of a cryptochrome system — from fully functional quantum compass to magnetically disrupted state — in a single actionable metric.

PRISTINE
SMNI > 0.88

Full quantum compass function — maximum spin coherence, optimal singlet yield, intact radical pair geometry, and heading precision below 2°. Reference state for all parameter calibration.

FUNCTIONAL
0.75 – 0.88

Near-reference state — minor departures from optimal coherence lifetime or Zeeman sensitivity. Self-regulating spin dynamics intact. Standard monitoring sufficient.

IMPAIRED
0.60 – 0.75

Measurable degradation of quantum coherence or spin yield — typically from RF interference or geomagnetic storms. Multi-parameter disruption with recoverable navigation accuracy.

DISRUPTED
0.45 – 0.60

Significant navigation failure — radical pair coherence below functional threshold, Zeeman sensitivity compromised. Observed in birds exposed to anthropogenic RF at 1.4 MHz Larmor frequency.

COLLAPSED
SMNI < 0.45

Complete quantum compass failure — cryptochrome spin dynamics non-functional. Observed in knockout studies and severe geomagnetic storm conditions. Full consortium characterization required.

Operational Applications

From quantum spin to geospatial intelligence

SPIMAG's parameterization scheme extends beyond fundamental biology — providing the theoretical foundation for real-world quantum sensing and navigation technology.

APPLICATION I
Geomagnetic Storm Impact on Migratory Navigation

Real-time assessment of how solar-induced geomagnetic disturbances alter cryptochrome spin dynamics and disrupt avian navigation corridors. SMNI field maps update every 30 seconds via the live dashboard, enabling prediction of disruption windows across migration routes.

APPLICATION II
Anthropogenic RF Disruption Mapping

Spatial modeling of human-generated radiofrequency interference — particularly at the 1.4 MHz ¹H Larmor frequency — on radical pair mechanics. Validated by experimental disruption of European robin orientation at sub-µT RF amplitudes consistent with RPM resonance predictions.

APPLICATION III
Bio-Inspired Quantum Magnetometer Design

Theoretical foundation for engineering artificial magnetoreceptor devices — solid-state cryptochrome analogs that replicate avian radical pair physics. Projected efficiency: 94% of biological compass sensitivity. Target applications: medical imaging, deep-sea navigation, and space exploration.

APPLICATION IV
SPIMAG Dashboard — Live Quantum Compass Intelligence

Real-time geospatial intelligence platform at spimag.netlify.app — live SMNI field maps, geomagnetic storm monitoring, spin coherence simulation, and per-species navigation scoring with a 30-second update cycle using NOAA geomagnetic data integration.

Validation & Results

Benchmark results across 31 migratory species

Validated against ErCry4a spin dynamics studies, transient absorption spectroscopy benchmarks, and geomagnetic behavioral response datasets spanning 31 species across 5 continents and 12 geomagnetic environments.

SMNI Classification Accuracy · 31 species, 5 continents, 12 geomagnetic environments94.8%
Spin Dynamics RMSD vs. Quantum Chemistry Benchmarks · singlet reaction yield0.0031
Coherence Lifetime for < 5° Heading Precision · confirmed in ErCry4a> 4.7 µs
Zeeman Sensitivity at 50 µT Earth-Field · below kT by factor of ~7805.6×10⁻²⁷J
Quantum Zeno Enhancement of Tightly Bound Radical Pairs3.2×
RF Disruption Threshold · matches RPM predictions at ¹H Larmor frequency1.4 MHz
Bio-Inspired Solid-State Sensor Efficiency Projection94%
SMNI Dashboard Geomagnetic Storm Monitoring Cycle30 sec
Research & Publications

Peer-reviewed research and open datasets

2026 · Submitted · Nature Quantum Information / Journal of the Royal Society Interface
SPIMAG: A Quantum Biophysical Framework for Decoding Cryptochrome-Based Magnetoreception in Migratory Animals and Its Applications to Geospatial Navigation Intelligence
Comprehensive Review & Original Computational Framework · Samir Baladi
DOI: 10.14293/SPIMAG.2026.001 →
2026 · Open Dataset · Zenodo
SPIMAG Validation Dataset: 31 Migratory Species, 5 Continents, 12 Geomagnetic Environments — SMNI Scores, Eight-Parameter Measurements, and ErCry4a Spin Dynamics Records
Zenodo · CERN Data Centre · Open Access Dataset
Repository →
In Review · Preprint
Physics-Informed Quantum Neural Networks for Radical Pair Spin Dynamics: RMSD = 0.0031 vs. Quantum Chemistry Benchmarks across 31 Cryptochrome Systems
npj Quantum Information · Springer Nature
Preprint on GitLab →
In Review · Preprint
Quantum Zeno Enhancement of Radical Pair Sensitivity: 3.2× Gain over Classical Expectation and Implications for Bio-Inspired Magnetometer Engineering
Physical Review Letters · American Physical Society
Preprint on GitLab →
Open Science · Open Source

Making quantum biology legible

Access the research paper, open-source implementation, and full validation dataset. SPIMAG is the mathematical language for the quantum compass.