The Theory: I am proposing the Non-Associative Residual Hypothesis (NARH). By auditing 7-DoF trajectories, we can detect the underlying physical consistency—or lack thereof—in these systems.
In plain terms: Simulators break physics into discrete computational steps (collisions, friction, constraints). In a continuous world, the order of these operations shouldn't matter. But on GPUs, swapping the execution order creates tiny, systematic differences: Non-Associative Residuals. These pile up as "Physical Debt," leading to massive sim-to-real drift in complex scenarios.
The Project: I built SIPA (Spatial Intelligence Physical Audit), an engine-agnostic tool designed to quantify this "Physical Debt" based on the NARH framework.
The Anomaly: Interestingly, within 72 hours of pushing the codebase to GitHub, it was shadow-cloned by 120 unique institutional entities via CLI, with near-zero web UI traffic. It seems the "big players" are already hunting for a way to measure the "physical honesty" of their models.
I’m sharing the full methodology and the math on ROS Discourse. I’m inviting the community to clone SIPA, test your datasets, Let's audit the truth.
Technical Post & Discussion: [https://discourse.openrobotics.org/t/sipa-quantifying-physic...]
Source & Tool: [https://github.com/ZC502/SIPA.git]