Integrable-Hierarchy Derivative-Order Geometry: Multitime Tau Ladders, KP/Toda Hirota Closures, and Finite Plücker Recovery | Zenodo Skip to main Communities My dashboard Log in Sign up Published April 14, 2026 | Version v1 Preprint Open Integrable-Hierarchy Derivative-Order Geometry: Multitime Tau Ladders, KP/Toda Hirota Closures, and Finite Plücker Recovery Authors/Creators Abu-Ghuwaleh, Mohammad 1 Show affiliations 1. Zarqa University Description This paper lifts derivative-order geometry to integrable hierarchies by introducing multitime tau ladders that track derivative orders along multiple times. It establishes a universal cube law and shows that Hirota bilinear transmutation generates the full hierarchy. Explicit KP/Toda closures are derived, and a finite Plücker recovery theorem proves that a finite jet suffices to recover the derivative-order spectrum. Files integrable_hierarchy_derivative_order_geometry.pdf Files (377.3 kB) Name Size Download all integrable_hierarchy_derivative_order_geometry.pdf md5:7afe3fd535fb541b419beccc24a0d3bf 377.3 kB Preview Download 25 Views 31 Downloads Show more details All versions This version Views Total views 25 25 Downloads Total downloads 31 31 Data volume Total data volume 12.1 MB 12.1 MB More info on how stats are collected.... Versions External resources Indexed in OpenAIRE Communities Keywords and subjects Keywords integrable hierarchy derivative-order geometry multitime tau ladders Hirota transmutation KP/Toda closure Plücker recovery Details DOI DOI Badge DOI 10.5281/zenodo.19567965 Markdown [](https://doi.org/10.5281/zenodo.19567965) reStructuredText .. image:: https://zenodo.org/badge/DOI/10.5281/zenodo.19567965.svg :target: https://doi.org/10.5281/zenodo.19567965 HTML <a href="https://doi.org/10.5281/zenodo.19567965"><img src="https://zenodo.org/badge/DOI/10.5281/zenodo.19567965.svg" alt="DOI"></a> Image URL https://zenodo.org/badge/DOI/10.5281/zenodo.19567965.svg Target URL https://doi.org/10.5281/zenodo.19567965 Resource type Preprint Publisher Zenodo Languages English Rights License Creative Commons Attribution 4.0 International The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited. Read more Citation Export Technical metadata Created April 14, 2026 Modified April 14, 2026 Jump up About About Policies Infrastructure Principles Projects Roadmap Contact Blog Blog Support Help FAQ Developers REST API OAI-PMH Contribute GitHub Donate Funded by Powered by CERN Data Centre & InvenioRDM Status Privacy policy Cookie policy Terms of Use This site uses cookies. Find out more on how we use cookies Accept all cookies Accept only essential cookies