Provision1-Lithic-Lattice

Deterministic Q16.16 C++ kernel for drone swarm spatial mapping. Replaces stochastic inference with discrete physical simulation—calculating spatial boundaries via spatial Laplacians and non-linear strain modeling. Zero-drift, bit-exact sensor fusion for embedded robotics.

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Lithic Lattice Kernel (v1.0)

High-Performance Deterministic Spatial Mapping

The Lithic Lattice Kernel is a C++ engine designed for low-latency spatial awareness in autonomous swarm robotics. It utilizes a fixed-point physical simulation to map environments through the calculation of spatial strain and velocity propagation, providing a mathematically provable alternative to probabilistic neural network models.

Engineering Rationale

Standard autonomous vision systems often rely on stochastic AI models which introduce non-deterministic results and significant computational overhead. These models are susceptible to "hallucinations" and edge-case failures in complex environments.

The Lithic Lattice architecture focuses on Mass and Boundary. By modeling the environment as a discrete physical lattice, the system provides:

• Forensic Accuracy: Boundary detection is based on the spatial Laplacian operator, ensuring that environmental obstacles are calculated rather than predicted.
• Geometric Certainty: Collision parameters are derived from deterministic physics, providing 1:1 reliability for navigation logic.
• Resource Efficiency: Optimized for edge hardware where GPU-accelerated inference is not feasible or power-efficient.

Key Features

• Fixed-Point Determinism: Built on Q16.16 integer arithmetic. Ensures bit-for-bit consistency across heterogeneous CPU architectures and eliminates floating-point drift.
• Verlet Integration: Utilizes momentum-based temporal integration for high-fidelity velocity tracking and predictive movement.
• Non-Linear Strain Hardening: Features dynamic effective gain adjustment based on local force gradients, maintaining signal stability without clipping or artifacts.
• Hardware Optimized: Zero external dependencies. Designed for multi-core embedded deployment via OpenMP.

Technical Implementation

The kernel solves the discrete wave equation across a grid using a standard spatial Laplacian:

$$ \nabla^2 \phi \approx \sum \phi_{neighbors} - 4\phi_{center} $$

By applying a non-linear gain factor derived from local strain, the engine generates a high-contrast, stable spatial map optimized for real-time obstacle avoidance and swarm synchronization.

Usage

Integrate the kernel directly into the sensor fusion or flight control loop.

// Example: Single time-step integration loop
lithic_lattice_step(current_buffer, prev_buffer, next_buffer, width, height, BoundaryType::ABSORBING);

Documentation & Registry

Provision1 Laboratory - Jupiter, Florida.
Technical Release: Rev 1.0.0