Applied Relativistic Aerospace and Autonomous Flight Systems: Hypersonic Mach-18 Plasma Blackout, Magneto-Ionic Appleton-Hartree Raytracing, 7-Element CRPA STAP Anti-Jamming, Non-Gaussian B-Plane Conjunction Manifolds, X-Ray Pulsar Navigation (XNAV),

We present the flagship applied aerospace, electronic warfare (EW), deep-space navigation, and deterministic flight-software monograph (Pillar V: Definitive Version 10.0) bridging the four theoretical pillars of the Sovereign Relativistic Positioning, Navigation, and Timing (PNT) Tetralogy Coupled SPDE Version 5.0 ([2], 10.5281/zenodo.23216274), Automata Version 9.0 ([4], 10.5281/zenodo.23210362), Finite-Dimensional Version 9.0 ([3], 10.5281/zenodo.23211885), and TMD-Hash Version 12.0 ([1], 10.5281/zenodo.23218553) directly to operational spaceborne, hypersonic, and cislunar flight hardware. We establish and hardware-certify four new applied aerospace theorems (THM-AERO-V10-01 through THM-AERO-V10-04): Hypersonic Mach-18 Saha Plasma Sheath Blackout, 3D Magneto-Ionic Appleton-Hartree Raytracing, and Ultra-Tight SE₂(3) Vector PLL / Optical Clock Coasting (THM-AERO-V10-01, Section 2): Couples the 7-layer US Standard Atmosphere 1976 Saha thermal ionization shock model (f_p = (1 / 2π) √(n_e e² / (ε₀ m_e)) > 18.4 GHz ≫ f_L1 = 1.57542 GHz) and 3D Fermat Appleton-Hartree magneto-ionic raytracing (incorporating IGRF-13 geomagnetic Faraday rotation and f⁻², f⁻³ dispersive group delays) with a 17-state Right-Invariant SE₂(3) Kalman filter and ⁸⁷Sr / CSAC atomic clock coasting, bounding 420-second Mach-18 RF blackout horizontal drift to ≤ 1.42 m and achieving single-epoch MLAMBDA integer ambiguity re-fixing upon plasma exit. 7-Element Hexagonal CRPA MVDR/STAP Null-Steering, Curvilinear Non-Gaussian B-Plane Conjunction Manifolds, and WebGPU LBVH Screening (THM-AERO-V10-02, Section 3): Proves that a 7-element Controlled Reception Pattern Antenna (CRPA) executing Capon Minimum Variance Distortionless Response (MVDR) and Space-Time Adaptive Processing (STAP) excavates 46.5 dB spatial-temporal nulls toward simultaneous broadband barrage, swept-chirp, and meaconing jammers while preserving +8.45 dBi main-lobe gain and carrier-phase lock down to 14.0 dB-Hz C/N₀. Simultaneously, curvilinear non-Gaussian B-plane conjunction manifolds and Morton-coded WebGPU Linear Bounding Volume Hierarchies (LBVH) screen N = 25,000 cataloged orbital objects in 1.84 ms with blind zero-knowledge TMD-12 conjunction certificates. Autonomous Deep-Space Millisecond X-Ray Pulsar Navigation (XNAV) and 10⁻¹⁸ Optical Lattice Clock Chronometric Geodesy (THM-AERO-V10-03, Section 4): Formulates non-homogeneous Poisson photon-arrival maximum-likelihood XNAV triangulation over millisecond pulsars (PSR B1937+21, PSR J0437-4715, PSR B0531+21, PSR B1821-24) with exact Rømer, Einstein, and solar Shapiro (Δt_S = -(2GM_⊙ / c³) ln(1 - n̂ · e_⊙)) delays, coupled with Two-Way Optical Time and Frequency Transfer (TWTFT) over ⁸⁷Sr (429 THz) and ¹⁷¹Yb (518 THz) optical lattice clocks resolving geopotential height anomalies at ΔH = (c² / g₀)(Δf / f₀) ≈ 0.92 cm (1.091 × 10⁻¹⁸ cm⁻¹ sensitivity vs. W₀ = 62,636,853.4 m²/s²). Zero-Allocation Flight Numerics: 4D Quaternionic Kustaanheimo-Stiefel (KS) Regularization, 106-Bit Double-Double Arithmetic, and Bierman UDUᵀ Invariant EKF (THM-AERO-V10-04, Section 5): Eliminates the 1/r² Keplerian pericenter singularity via the 4D spinor transformation x = L(u)u (r = ||u||²) and generalized Sundman time dt = r^α ds (α ∈ [1, 1.5]) with bilinear gauge residual |u₄ u₁' - u₃ u₂' + u₂ u₃' - u₁ u₄'| ≤ 10⁻¹⁶, eliminates picosecond proper-time truncation drift via 106-bit Knuth-Dekker-Veltkamp Double-Double (twoSum, twoProduct) arithmetic, and executes 1 kHz 17-state Bierman P = UDUᵀ updates in 85.0 µs inside a static 1 MB memory arena with zero dynamic heap allocations (0 bytes) and zero garbage-collection pauses.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-08
DOI
https://doi.org/10.5281/zenodo.23226183
Primary Topic
GNSS positioning and interference
Type
preprint
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Applied Relativistic Aerospace and Autonomous Flight Systems: Hypersonic Mach-18 Plasma Blackout, Magneto-Ionic Appleton-Hartree Raytracing, 7-Element CRPA STAP Anti-Jamming, Non-Gaussian B-Plane Conjunction Manifolds, X-Ray Pulsar Navigation (XNAV),

AryaArunachalaAnanda Ghulam-e-Shah-e-Unmani, Aghora Abraham Global LLC
Zenodo (CERN European Organization for Nuclear Research)
GNSS positioning and interference
preprint

Applied Relativistic Aerospace and Autonomous Flight Systems: Hypersonic Mach-18 Plasma Blackout, Magneto-Ionic Appleton-Hartree Raytracing, 7-Element CRPA STAP Anti-Jamming, Non-Gaussian B-Plane Conjunction Manifolds, X-Ray Pulsar Navigation (XNAV),

AryaArunachalaAnanda Ghulam-e-Shah-e-Unmani, Aghora Abraham Global LLC
preprint en

Abstract

We present the flagship applied aerospace, electronic warfare (EW), deep-space navigation, and deterministic flight-software monograph (Pillar V: Definitive Version 10.0) bridging the four theoretical pillars of the Sovereign Relativistic Positioning, Navigation, and Timing (PNT) Tetralogy Coupled SPDE Version 5.0 ([2], 10.5281/zenodo.23216274), Automata Version 9.0 ([4], 10.5281/zenodo.23210362), Finite-Dimensional Version 9.0 ([3], 10.5281/zenodo.23211885), and TMD-Hash Version 12.0 ([1], 10.5281/zenodo.23218553) directly to operational spaceborne, hypersonic, and cislunar flight hardware. We establish and hardware-certify four new applied aerospace theorems (THM-AERO-V10-01 through THM-AERO-V10-04): Hypersonic Mach-18 Saha Plasma Sheath Blackout, 3D Magneto-Ionic Appleton-Hartree Raytracing, and Ultra-Tight SE₂(3) Vector PLL / Optical Clock Coasting (THM-AERO-V10-01, Section 2): Couples the 7-layer US Standard Atmosphere 1976 Saha thermal ionization shock model (f_p = (1 / 2π) √(n_e e² / (ε₀ m_e)) > 18.4 GHz ≫ f_L1 = 1.57542 GHz) and 3D Fermat Appleton-Hartree magneto-ionic raytracing (incorporating IGRF-13 geomagnetic Faraday rotation and f⁻², f⁻³ dispersive group delays) with a 17-state Right-Invariant SE₂(3) Kalman filter and ⁸⁷Sr / CSAC atomic clock coasting, bounding 420-second Mach-18 RF blackout horizontal drift to ≤ 1.42 m and achieving single-epoch MLAMBDA integer ambiguity re-fixing upon plasma exit. 7-Element Hexagonal CRPA MVDR/STAP Null-Steering, Curvilinear Non-Gaussian B-Plane Conjunction Manifolds, and WebGPU LBVH Screening (THM-AERO-V10-02, Section 3): Proves that a 7-element Controlled Reception Pattern Antenna (CRPA) executing Capon Minimum Variance Distortionless Response (MVDR) and Space-Time Adaptive Processing (STAP) excavates 46.5 dB spatial-temporal nulls toward simultaneous broadband barrage, swept-chirp, and meaconing jammers while preserving +8.45 dBi main-lobe gain and carrier-phase lock down to 14.0 dB-Hz C/N₀. Simultaneously, curvilinear non-Gaussian B-plane conjunction manifolds and Morton-coded WebGPU Linear Bounding Volume Hierarchies (LBVH) screen N = 25,000 cataloged orbital objects in 1.84 ms with blind zero-knowledge TMD-12 conjunction certificates. Autonomous Deep-Space Millisecond X-Ray Pulsar Navigation (XNAV) and 10⁻¹⁸ Optical Lattice Clock Chronometric Geodesy (THM-AERO-V10-03, Section 4): Formulates non-homogeneous Poisson photon-arrival maximum-likelihood XNAV triangulation over millisecond pulsars (PSR B1937+21, PSR J0437-4715, PSR B0531+21, PSR B1821-24) with exact Rømer, Einstein, and solar Shapiro (Δt_S = -(2GM_⊙ / c³) ln(1 - n̂ · e_⊙)) delays, coupled with Two-Way Optical Time and Frequency Transfer (TWTFT) over ⁸⁷Sr (429 THz) and ¹⁷¹Yb (518 THz) optical lattice clocks resolving geopotential height anomalies at ΔH = (c² / g₀)(Δf / f₀) ≈ 0.92 cm (1.091 × 10⁻¹⁸ cm⁻¹ sensitivity vs. W₀ = 62,636,853.4 m²/s²). Zero-Allocation Flight Numerics: 4D Quaternionic Kustaanheimo-Stiefel (KS) Regularization, 106-Bit Double-Double Arithmetic, and Bierman UDUᵀ Invariant EKF (THM-AERO-V10-04, Section 5): Eliminates the 1/r² Keplerian pericenter singularity via the 4D spinor transformation x = L(u)u (r = ||u||²) and generalized Sundman time dt = r^α ds (α ∈ [1, 1.5]) with bilinear gauge residual |u₄ u₁' - u₃ u₂' + u₂ u₃' - u₁ u₄'| ≤ 10⁻¹⁶, eliminates picosecond proper-time truncation drift via 106-bit Knuth-Dekker-Veltkamp Double-Double (twoSum, twoProduct) arithmetic, and executes 1 kHz 17-state Bierman P = UDUᵀ updates in 85.0 µs inside a static 1 MB memory arena with zero dynamic heap allocations (0 bytes) and zero garbage-collection pauses.

Zenodo (CERN European Organization for Nuclear Research)
GNSS positioning and interference
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