Hadamard-Spacetime (hadamard-spacetime)

An enterprise-grade relativistic spacetime correction and quantum phase synchronization engine designed for deep-space telemetry verification, interplanetary navigation networks (NASA LunaNet, ESA Moonlight), and real-time orbital atomic clock drift compensation.

Modern satellite constellations operating across disparate gravitational wells (such as Earth-Moon or Earth-Mars transfer links) experience relativistic time anomalies governed by Einstein's Theories of Special and General Relativity. Furthermore, next-generation orbital communication security relies on Quantum Key Distribution (QKD), where high-velocity transits induce relativistic quantum phase displacements known as Wigner Spin Rotations.

hadamard-spacetime bridges theoretical astrophysics, quantum mechanics, and embedded systems engineering by computing these spacetime deformations in real-time. It enables spacecraft to synchronize clocks to femtosecond precision and maintain quantum link coherence without waiting for ground-station telemetry roundtrips.

• Relativistic Kinematics (core::kinematic): Real-time computation of Special Relativity time dilation utilizing native velocity vectors and Lorentz transformation invariants.
• Gravitational Metric (core::gravitational): General Relativistic time expansion calculations using the Schwarzschild metric and Frame-Dragging (Lense-Thirring effect) modeling for spinning celestial bodies.
• Quantum Phase Calibration (quantum::phase_correction): Dynamic realignment matrices compensating for relativistic Wigner spin rotations and gravitational redshift phase drifts in orbital QKD laser links.
• Lattice Clock Drift Profiler (quantum::clock): High-precision environment-aware simulation modules capturing micro-gravity perturbations in optical lattice atomic clocks down to the 10⁻¹⁸ stability threshold.
• CCSDS-Compliant Telemetry (telemetry::sync_packet): Zero-allocation, zero-copy serialization engine packaging multi-vector drift metrics into a fixed 28-byte big-endian binary matrix structure ready for space-link routers.
• Live Interactive Simulator (index.html): A lightweight vanilla JavaScript/HTML mission control dashboard running a mirror of the underlying core physics algorithms for zero-dependency browser-level telemetry rendering via GitHub Pages.

The codebase enforces a highly decupled, production-ready workspace structure optimized for standalone compilation targets:

hadamard-spacetime/
├── .github/
│   └── workflows/
│       └── ci.yml             # Automated multi-feature compilation, formatting, & clippy audits
├── Cargo.toml                 # Structural crate manifest & modular feature gating layouts
├── README.md                  # Comprehensive astrophysical & integration documentation
├── index.html                 # Root Directory: Live GitHub Pages Mission Control simulation dashboard
├── benches/
│   ├── dilation_bench.rs      # 10M iteration stress testing for Special/General Relativity core
│   └── quantum_phase_bench.rs # 10M iteration throughput testing for QKD and atomic lattice paths
├── examples/
│   ├── lunanet_sync.rs        # Executable simulation profile mimicking a full NASA LunaNet orbital track
│   └── qkd_space_link.rs      # Executable blueprint validating space-to-ground quantum link encodings
└── src/
    ├── lib.rs                 # Library engine entry point and feature flag routing
    ├── constants.rs           # IEEE 754 precision cosmological constants (Sun out to Pluto)
    ├── error.rs               # Space-time boundary constraints & siber-quantum anomaly panic-free errors
    ├── core/
    │   ├── mod.rs
    │   ├── kinematic.rs       # Lorentz transformation & velocity dilation calculations
    │   └── gravitational.rs   # Schwarzschild metric & Lense-Thirring frame-dragging engines
    ├── quantum/
    │   ├── mod.rs
    │   ├── clock.rs           # Femtosecond optical lattice clock skew models
    │   └── phase_correction.rs# Relativistic quantum phase & gravitational redshift correctors
    └── telemetry/
        ├── mod.rs
        └── sync_packet.rs     # Big-Endian zero-copy 28-byte packet compilation matrix

Incorporate the engine into your embedded flight computing environment by appending the dependency array below within your Cargo.toml:

[dependencies]
hadamard-spacetime = { git = "https://github.com/yagizyagli/hadamard-spacetime, features = ["quantum"] }

Validate the mathematical pipelines and execute telemetry packet compilation tracks directly via your terminal:

# 1. Run the NASA LunaNet Satellite Navigation Simulation
cargo run --example lunanet_sync --features quantum

# 2. Run the Space-to-Ground Quantum Key Distribution (QKD) Optical Link Simulation
cargo run --example qkd_space_link --features quantum

# 3. Trigger 10-Million Iteration Performance Profiling Benchmarks
cargo run --bench dilation_bench
cargo run --bench quantum_phase_bench

• Yağız Yağlı: @yagizyagli
• Live Demo: @hadamard-spacetime.

Specializing in High-Performance Systems, Post-Quantum Space Cryptography, Deep-Tech Infrastructure, and Quantum Computing frameworks. hadamard-spacetime expands a growing ecosystem of advanced bare-metal utilities engineered for next-generation planetary civilizational infrastructure.

If hadamard-spacetime provides value to your deep-tech research, aerospace software suite, or quantum simulation frameworks, please consider leaving a star on this repository. Your backing maintains momentum on the development of open-source interplanetary infrastructure!

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