# Noether > Certified modeling & simulation. Part of Lattice OS by Fancyland LLC: https://latticeos.org/ (the whole portfolio for AI readers: https://latticeos.org/llms.txt). ## Pages - [Noether Capacity — How Many, Counted Exactly | Lattice OS](https://noether.latticeos.org/capacity.html): Noether Capacity certifies the carrying capacity of an orbital region — how many craft it holds at every perturbation level — with a two-sided proof, where brute enumeration is 2^128 configurations. A Noether data sheet, Lattice OS. - [Noether Capture — Certified Endurance & Remaining Life | Lattice OS](https://noether.latticeos.org/capture.html): Noether Capture certifies whether a system captures into steady state and by when, and the Remaining Useful Life of a monitored asset — a warrant that self-voids when the fault outruns its projection. Full ISO 13374 lifecycle on a lunar-elevator tether. A Noether data sheet, Lattice OS. - [Noether — Conservation, Certified | Lattice OS](https://noether.latticeos.org/): Noether issues conservation laws as exact certificates: answers a third party verifies in microseconds, offline, without your apparatus — valid at depths and scales where conventional recomputation is physically impossible. Four data sheets: Twin, Super-Resolution, Capacity, Capture. Validated against PDG, NIST, NASA/JPL, ISO 13374. A Lattice OS product line by Fancyland LLC. - [Noether Super-Resolution — Below the Display Cone | Lattice OS](https://noether.latticeos.org/super-resolution.html): Noether Super-Resolution resolves closely-spaced objects from inside one point-spread function, with an aperture certificate that says where the recovery is trustworthy. Validated on CERN and JWST public data; 35x-700x below the FFT's own frontier. A Noether data sheet, Lattice OS. - [Noether Twin — The Exact Asset Twin | Lattice OS](https://noether.latticeos.org/twin.html): Noether Twin is a living, exact digital twin of a cislunar asset — its state at any mission moment in microseconds, blind-validated against NASA/JPL's orbit catalog at 3e-11, with conservation ledgers that are theorems. A Noether data sheet, Lattice OS.