Physics-Based World Modeling
FieldSpace runs a live physics model of the scene beside your neural networks, validating perception and pruning impossible trajectories in real time.
Neural Nets See Patterns, FieldSpace Enforces Physics
Your perception models detect and classify. FieldSpace validates those detections against kinematic and geometric constraints, then forecasts feasible futures.
What Your Neural Networks Do
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Pattern Recognition
Detect cars, pedestrians, lanes, signs from camera/LiDAR
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Classification
Label objects by type, pose, and semantic category
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Scene Understanding
Identify road structure, free space, static obstacles
Keep your existing perception models—no retraining required.
What FieldSpace Adds
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Physics Validation
Reject detections that violate kinematic constraints (e.g., car at 200mph)
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Trajectory Forecasting
Short-horizon rollouts of feasible futures for each object
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Safety Envelopes
Hard constraints on ego motion (speed, accel, collision)
Integrates via ROS 1/2, gRPC—outputs constrained trajectories to your controller.
How the Physics Engine Works
FieldSpace maintains a live world model using partial differential equations (PDEs) to represent motion, contact, and geometry constraints.
Perception Fusion
Ingest detections from your perception stack (bounding boxes, point clouds, segmentation masks). Fuse camera, LiDAR, radar, IMU into a consistent state.
- • Multi-modal sensor fusion
- • Kalman filter tracking
- • Coordinate frame alignment
Physics Model
Maintain a live PDE-based world model that enforces motion and geometry constraints. Each object has a velocity field and feasibility envelope.
- • Velocity field (traffic flow)
- • Kinematic constraints (max accel)
- • Geometry collision checks
Trajectory Validation
Short-horizon rollouts forecast feasible futures. Prune trajectories that violate physics or safety. Output safe plans to your controller.
- • Short-horizon prediction (0.5-3s)
- • Reject infeasible motion
- • Constrained trajectory output
Under the Hood: Modulus Calculation Core
FieldSpace is powered by Modulus, our deterministic solver for kinematics, contact, and geometry constraints.
What is Modulus?
Modulus is a PDE solver optimized for real-time autonomy. It maintains a physics-grounded world model, runs short-horizon forecasts, and rejects impossible motion before it touches your controller.
- • Deterministic: Same inputs = same outputs, every time
- • Fast: 1,974 FPS for traffic field computation on GPU
- • Scalable: Handles 50+ objects in real time
- • Portable: Runs on CPU, GPU, edge accelerators
Key Performance Metrics
See the Physics Engine in Action
Run FieldSpace on your logs in Week 1 of a pilot. Measure baseline KPIs and see how physics validation improves your stack.
4-week pilot. KPI-driven. Integrates with ROS 1/2 and gRPC.