Engineering & Research.

Updates on our stack, technical deep dives, and lessons from the field.

EngineeringMar 10, 20265 min

The mathematics of spatial constraints. Why foundation models need bounded execution

To guarantee safe actuation, we must look beyond the weights of a neural network and return to the mathematics of spatial constraints. We explore why implicit learning is insufficient for physical autonomy and how differentiable optimization at the edge guarantees safe execution.

#Robotics#Foundation Models#Mathematics
ResearchFeb 21, 20265 min

The geometry of non-uniqueness and why robotics is also a diffusion problem

Real-world robotics is multi-modal. We explore why traditional regression fails in the face of non-uniqueness and how diffusion models provide a mathematical bridge between noise and physical intent.

#Robotics#Diffusion#Mathematics
ResearchJan 16, 20265 min

The new mathematics of touch, solving for tactile intelligence

Touch is no longer an auxiliary sense. It is the central bottleneck of general purpose physical intelligence. We explore how tactile intelligence is formalized through continuum mechanics, information theory, and control.

#Robotics#Tactile Intelligence#Physics
ResearchJan 2, 20265 min

Predictions for the mathematics of robotics AI in 2026, from tokens to touch

If 2024 and 2025 were about giving robots a brain through LLMs and VLMs, 2026 feels like the year we finally give them a functioning nervous system. We explore how physics, control theory, and modern machine learning merge in earnest.

#Robotics#AI#2026 Predictions
ResearchDec 16, 20257 min

How to train a RFM (Robotics Foundation Model)

Training a robotics foundation model is not an exercise in scaling parameters. It is an exercise in deciding what kind of world you want a machine to survive in. Unlike language or vision models, an RFM lives in time, friction, latency, contact, failure, and recovery.

#Robotics#Foundation Models#Training
StrategyDec 15, 20253 min

Why we chose to open source.

We chose to open source part of Xolver not as a marketing gesture, but as an architectural decision. Closed systems create the illusion of progress. Open systems reveal where reality pushes back.

#Open Source#Strategy
ManifestoDec 14, 20252 min

How we think and what we do.

Xolver starts from a simple belief: Intelligence only matters when it survives contact with the real world. Our work begins where clean data ends and uncertainty begins.

#Philosophy#Physical AI