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April 16, 20260 citationsOpen Access

Sato-Grassmannian Derivative-Order Geometry: Baker-Akhiezer Wave Ladders, Bispectral Closures, and Finite Dressing Recovery

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MAMohammad Abu-Ghuwaleh

Key Points

  • The research aims to expand derivative-order geometry within the Sato-Grassmannian framework, focusing on wave packets and their recovery.
  • Defined Baker-Akhiezer wave ladders in the derivative-order context.
  • Developed bispectral closure conditions for wave and spectral ladders.
  • Derived two-axis cube laws related to the defined structures.
  • Established finite dressing recovery for derivative-order ladders.
  • Demonstrated exact recovery of wave packets from a limited number of derivative-order layers.

Abstract

This paper extends derivative-order geometry to the Sato–Grassmannian context. It defines Baker–Akhiezer wave ladders and bispectral closures on the derivative-order axis, deriving two-axis cube laws and bispectral closure conditions for wave and spectral ladders. The work proves that derivative-order ladders admit finite dressing recovery, establishing exact recovery of packets from a finite number of derivative-order layers.

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Cite This Study

Mohammad Abu-Ghuwaleh (2026) studied this question.

synapsesocial.com/papers/69e07e582f7e8953b7cbf5d9https://doi.org/10.5281/zenodo.19571671
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