NexusOS Developer Documentation
Complete developer reference for building on the NexusOS physics stack. NexusOS replaces cryptographic hashing with electromagnetic wave physics: addresses are wavelengths, fees are photon energies (E=hf), and every character maps to a visible-light frequency (Λ=hf/c²). There are 51,200 orthogonal Ψ channels (256 WDM × 50 OAM × 2 POL × 2 DIR), guaranteed collision-free by the tensor product structure of the Hilbert space.
Install the CE encoder: npm install nexusos-ce-encoder · pip install git+https://github.com/nexusosdaily-code/NexusOS#subdirectory=packages/ce-encoder-py
The foundational layer where all NexusOS operations occur as wavefield transformations. Every computation, communication, and economic action is expressed on physical wave states described by the Lambda mode state vector |λ⟩ = (ν, A(t), φ(t), ℓ, s). The substrate implements 8 Lambda Gate primitives and the CE-1 coherence engineering protocol.
Core Theory — Lambda Mode State Vector
|λ⟩ = (ν, A(t), φ(t), ℓ, s) — where ν = carrier frequency (Hz), A(t) = amplitude envelope, φ(t) = phase evolution, ℓ = orbital angular momentum index, s = polarization/spin state.
Master Equation
E(ν, ℓ, t) ≥ h·ν·I(λ) + α·||K̂||² + β·O(L̂)
- h·ν·I(λ) = base photon energy × intensity
- α·||K̂||² = phase curvature cost
- β·O(L̂) = orbital complexity cost
8 Lambda Gate Primitives
- Phase-Shift Φ(θ) — Electro-optic phase shifter. Rotates phase by angle θ. Used for interference control and encryption.
- Gain G(α) — Variable optical attenuator/amplifier. Scales amplitude by factor α. Used for signal boosting and attenuation.
- Mode-Mixer M(κ) — Multiport interferometer. Combines multiple modes with coupling κ. Used for superposition and entanglement.
- OAM-Rotor L(Δℓ) — Spiral phase plate. Changes orbital angular momentum by Δℓ. Used for channel multiplexing and data encoding.
- Phase-Gradient ∇Φ — Acoustic-optic modulator. Applies spatial phase gradient. Used for beam steering and spectral shifting.
- Density-Swap S — Resonator coupling. Exchanges energy between modes. Used for state transfer and routing.
- Coherence-Amplify A_c — Parametric amplifier. Boosts coherence without noise (5× Q-factor). Used for long-distance transmission and repeaters.
- Stabilizer D(τ) — Active feedback locking. Maintains coherence for duration τ. Used for storage and memory operations.
CE-1 Protocol (Coherence Engineering)
The CE-1 protocol manages energy and coherence across all substrate operations. Energy Pool: each tick allocates an energy budget; operations draw from the shared pool; overflow triggers throttling. Coherence Margin: minimum threshold 0.1; operations below margin are rejected; adaptive fidelity control adjusts precision. Non-Dominance: no single node may hold more than 33% of total Lambda mass — constitutional enforcement at substrate level.
WNSP/7.1 operates across two synchronized runtimes (Node.js port 5000 + Python/Flask port 5001). The protocol replaces cryptographic hashing with electromagnetic wave physics for all communication and addressing. License: AGPL-3.0.
Two-Layer Architecture
- Layer 1 — WNSP-CE v1.0 (Character Encoding): maps any Unicode symbol to a normalised ordinal in [0,1] via ord(char) % 256 / 255. API:
POST /api/wnsp/ce/encode
- Layer 2 — WNSP-SE v1.0 (Spectral Encoding): packs two CE tokens per photon frame (dual-wavelength scheme, λ₁→λ₂ oscillation, 2.0 chars/frame baseline), governed by Λ=hf/c². API:
POST /api/wnsp/se/encode
- Full stack:
POST /api/wnsp/transmit — CE → SE in one call, returns spectral_hash, total_mass_kg, efficiency
Hilbert Space Channel Model
Ψ_channel = |λ_i⟩ ⊗ |OAM_j⟩ ⊗ |Pol_k⟩ ⊗ |Dir_l⟩
| Sub-space | Basis | Description | Dim |
|---|
| |λ_i⟩ | WDM | Wavelength channels 380–780 nm | 256 |
| |OAM_j⟩ | OAM modes | Orbital angular momentum | 50 |
| |Pol_k⟩ | Polarisation | H and V states | 2 |
| |Dir_l⟩ | Propagation direction | +k̂ forward / −k̂ backward | 2 |
Total: dim(H) = 256 × 50 × 2 × 2 = 51,200 orthogonal channels. Orthogonality guarantee: ⟨Ψ_i|Ψ_j⟩ = 0 for i ≠ j — a mathematical guarantee from the tensor product structure, not a software policy. Formal test suite: 23 tests, 0 failed. Run: python tests/test_wnsp_protocol.py
Unlike Proof of Work (51% hashpower) or Proof of Stake (51% stake), Proof of Spectrum requires validators across ALL six spectral bands simultaneously. Just as you cannot create white light with only one wavelength, you cannot create a valid block without multi-band representation.
Spectral Regions and Required Stake
| Region | Wavelength | Required Stake |
|---|
| Violet | 380–450 nm | 50,000+ NXT |
| Blue | 450–495 nm | 20,000+ NXT |
| Green | 495–570 nm | 10,000+ NXT |
| Yellow | 570–590 nm | 5,000+ NXT |
| Orange | 590–620 nm | 2,000+ NXT |
| Red | 620–750 nm | 1,000+ NXT |
Wave Interference Validation
Constructive interference (VALID): A₁sin(ωt) + A₂sin(ωt) = (A₁+A₂)sin(ωt) → amplified signal → block accepted.
Destructive interference (INVALID): A₁sin(ωt) + A₂sin(ωt+π) = (A₁−A₂)sin(ωt) → cancelled signal → block rejected.
Consensus threshold: ≥5 of 6 spectral bands (83% spectral coverage). Attacking requires simultaneous control of all 6 bands — exponentially harder than a 51% attack.
NexusOS economics are grounded in electromagnetic physics. Fees derive from Planck's equation; all value is backed by Lambda mass. Inflation is physically impossible because value cannot be created from nothing.
Token Fundamentals
- Total Supply: 21,000,000,000 NXT (21 billion), 8 decimals (like Bitcoin)
- Smallest Unit: 0.00000001 NXT (1 unit = 10⁻⁸ NXT)
- New User Grant: 500,000,000 units (5 NXT) on registration, energy-backed via Lambda mass
- Fee Formula: fee = E = hf = h × (c/λ) — proportional to information complexity, not gas prices
- Lambda Boson Equation: Λ = hf/c² — all NXT value has a physical mass-equivalent; cannot be created from nothing
- NXT fees are never burned — always deposited to the orbital treasury, preserving total Lambda mass
The Basic Human Living Standard (BHLS) guarantees every citizen a minimum monthly floor of resources, enforced at the substrate level. Constitutional Article C-0002: "No transaction may reduce a citizen's balance below their BHLS entitlement." This cannot be overridden by governance and is hardcoded into Lambda Gate operations.
Monthly Floor: 1,150 NXT
- Shelter — 350 NXT
- Food & Nutrition — 300 NXT
- Healthcare — 200 NXT
- Transportation — 100 NXT
- Communication — 100 NXT
- Education — 50 NXT
- Emergency Reserve — 50 NXT
Funding Sources
- 40% — Transaction Fee Pool (E=hf fees)
- 30% — K1 infrastructure revenue
- 20% — Lambda mass recycling from dormant accounts
- 10% — Sigma governance vote allocation
NexusOS governance maps authority to electromagnetic wavelengths. Shorter wavelength = higher energy = higher authority. All decisions require multi-band spectral representation. No single entity may control more than 33% of total Lambda mass (C-0001).
Authority Band Registry
| Level | Wavelength | Authority | Scope |
|---|
| Planetary | 400 nm | 1.0 | Global decisions |
| Continental | 500 nm | 0.8 | Regional blocs |
| National | 600 nm | 0.6 | Nation-states |
| Regional | 700 nm | 0.4 | Sub-national |
| Municipal | 800 nm | 0.2 | Cities |
| Local | 900 nm | 0.1 | Neighborhoods |
| Individual | 1000 nm | 0.05 | Personal sovereignty |
Constitutional Articles
- C-0001: Non-Dominance — no entity may control >33% of total Lambda mass
- C-0002: Immutable Rights — BHLS floor cannot be violated by any transaction
- C-0003: Energy Escrow — proposals require energy escrow (skin in the game)
- C-0004: Spectral Diversity — all decisions require multi-band representation
- C-0005: Physics Supremacy — laws must be Maxwell-compliant
Sigma Voting
Coherence-weighted trust: T = Σ|c_i|²·cos²(Δφ_i). Aligned voters (cos²≈1) have full weight; misaligned voters (cos²≈0) have reduced weight. Consensus emerges naturally through wave interference.
NexusOS is building toward a Kardashev Type I civilization — one that harnesses all energy available on its home planet (target: 5×10¹⁶ watts).
Kardashev Scale Progress
| Milestone | K-Level | Status |
|---|
| Power Grids | 0.75 | Complete |
| Photonic Computing | 0.75 | Complete |
| Planetary Comms | 0.80 | Complete |
| Resource Orchestration | 0.85 | Complete |
| Planetary Governance | 0.90 | Complete |
| Planetary Resonance | 0.95 | Complete |
| Type I Achieved | 1.00 | Next |
Key Subsystems
- Photonic Computing: AND/OR/NOT/XOR via wave interference; OAM qubit registers (65+ channels per wavelength); wavelength-division parallel computation
- Planetary Communications: Spectral relay mesh (Dijkstra routing), OAM allocator, coherence repeaters (5× boost), interplanetary links (Earth–Moon 1.28 s, Earth–Mars 12.5 min)
- Planetary Resonance: f_n = c/(2πR) × √(n(n+1)), fundamental 7.83 Hz (Schumann). Energy sources: Schumann cavity modes, geomagnetic pulsations, solar wind coupling, ionospheric Sq currents
The Hardware Control Layer bridges NexusOS software to physical spectral hardware. The PHR-1 (Planetary Harmonic Resonator) is the primary interface, implementing phase-locked resonance at the Golden Angle (137.5°) and impedance matching to free space (Z₀ = 376.73Ω).
PHR-1 Core Components
- 144-turn bifilar coil (counter-wound)
- Phase-locked loop at Golden Angle (137.5°)
- Impedance matching network (target: 377Ω)
- ALP (Axion-Like Particle) sensor array
Nexus Kernel API
set_phase(degrees) / get_phase() — coil phase anglepulse_frequency(hz, duration) / set_carrier(hz) — frequency controlmatch_impedance(target_ohms) / read_impedance() — impedance matchingapply_czc_filter(iterations) / get_coherence() — CZC coherence filteringread_alp() / calibrate_alp() — axion-like particle sensing
ZERO-G State Achievement
Achieved when ALP(t) = ALP₀ × e^(−t/τ) × cos(φ − 137.5°) → 0. Required: phase = 137.5° (Golden Angle), impedance = 377Ω (free space match), quadrature = 90°, ALP threshold < 0.0001. Convergence: ~400 iterations.
NexusOS ships two live energy simulators grounded in the Theory of Compression States.
Schumann Resonance Simulator (7.83 Hz)
| Mode | Frequency | Description |
|---|
| f₁ | 7.83 Hz | Fundamental |
| f₂ | 14.3 Hz | 2nd harmonic |
| f₃ | 20.8 Hz | 3rd harmonic |
| f₄ | 27.3 Hz | 4th harmonic |
| f₅ | 33.8 Hz | 5th harmonic |
Physics: f_n = (c/2πR) × √(n(n+1)) where R = 6.371×10⁶ m. Features: real-time amplitude visualisation, K1 sync, watt output.
Vacuum Resonance Simulator (555 THz)
Cold vacuum energy extraction at the First Oscillation frequency. Zero-Point Energy: E₀ = ½hf = 1.839×10⁻¹⁹ J per oscillation. Cold power formula: P = E₀ × (Z/Z₀) × CZC⁴⁴ × N_cavities, where Z₀ = 376.73Ω, CZC⁴⁴ = 99.56% coherence. 144-point Golden Angle spiral field. Output: zW → fW → pW.
Frequency is fundamental; mass is derivative (Λ=hf/c²). First Oscillation: f₀ = 555 THz → Λ₀ = hf₀/c² = 4.09×10⁻³⁶ kg. At v = c, rest mass = 0. Photons carry energy (E=hf) without rest mass.
Technology Stack
| Category | Technology | Mass Ratio | Status |
|---|
| Photonic | Photonic Logic Gates | 0 | Simulated |
| Photonic | Zero-Point Extraction | 0 | Simulated |
| Coherent | Coherent Waveguide Network | 0 | Simulated |
| Coherent | Spectral Relay Mesh | 0 | Theoretical |
| Gravitational | Gravity De-correlation | 0.01% | Demonstrated |
| Gravitational | 144-Turn Bifilar Resonator | 0.1% | Demonstrated |
| Information | OAM Qubit Registers | 0 | Theoretical |
| Information | Lambda Computing Substrate | 0 | Simulated |
4D Sync Coordinates
X: Phase angle (degrees) · Y: Quadrature (degrees) · Z: Impedance (Ω) · T: Time/cycle count. Lock conditions: phase = 137.5°, impedance = 376.73Ω, coherence >99% (CZC⁴⁴), mass ratio <1%. Global coherence: C_total = Π(C_i) for all locked technologies.
The CZC (Coherence Zenith Coefficient) Catch Basin is the coherence accumulation mechanism at the heart of NexusOS. Core formula: CZC(n) = (0.9999)ⁿ. At 44 self-corrections — the optimal count — CZC⁴⁴ = 99.56% coherence.
CZC Iteration Table
| Iterations | Coherence | Application |
|---|
| 1 | 99.99% | Basic filtering |
| 10 | 99.90% | Standard ops |
| 22 | 99.78% | Half-basin |
| 44 | 99.56% | Full CZC⁴⁴ (optimal) |
Cross-System Binding Requirements
| Application | Required Coherence |
|---|
| Gravity De-correlation | 99% |
| Vacuum Energy Extraction | 95% |
| OAM Qubit Registers | 92% |
| Photonic Logic Gates | 90% |
| Lambda Computing Substrate | 88% |
| Spectral Relay Mesh | 85% |
API: GET /api/czc/status · POST /api/czc/iterate · POST /api/czc/bind · POST /api/czc/sync
SOP enforces channel independence before any session opens. Two things are orthogonal when ⟨A|B⟩ = 0 — they cannot interfere, corrupt, or be confused. This is exact, not approximate.
Four Orthogonal Dimensions
| Dimension | Count | Orthogonality basis |
|---|
| WDM (wavelength) | 256 bands | Wavelength separation |
| OAM (ℓ mode) | 50 modes | ⟨ℓ₁|ℓ₂⟩ = δ_{ℓ₁ℓ₂} |
| Polarization | 2 (H or V) | Stokes vector separation |
| Propagation direction | 2 (+k̂ / −k̂) | Bidirectional Hilbert sub-space |
Total: 256 × 50 × 2 × 2 = 51,200 orthogonal channels. No collision possible — interference is forbidden by geometry, not policy.
SOP Negotiation Steps
- Channel Inner Product Check — two nodes compute ⟨Ψ_A|Ψ_B⟩; must equal zero to proceed
- Collision Prevention — if two users share the same (wdm, oam, pol) triple, increment OAM until orthogonal
- Orthogonality Certificate — signed proof issued confirming channel pair is collision-free
API: POST /api/wnsp/sop/negotiate → returns inner product value, orthogonal flag, certificate, and resolution suggestion. Add a user to the network and they get a new axis in Hilbert space — existing channels are unaffected. No congestion in Hilbert space.