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Geometric stability and observable inference in dual Koopman–von Neumann embeddings: Corrections and reproducible counterexamples
Version 4
(Latest)
October 29, 2026 06:21
Geometric stability and observable inference in dual Koopman–von Neumann embeddings: Corrections and reproducible counterexamples
We examine version 2 of arXiv:2609.28999, which reconstructs conservative nonlinear ordinary differential equations from means of transported probability densities. The printed geometric-distortion definition retains the initial separation between neighboring states …
Version Notes: Version 1.1.1: clarifies the rendered Matilda date fields and removes a peripheral figure-caption comment from the article. Mathematical statements, proofs, code and seven verification groups are unchanged from v1.1.0. Taylor Kalin remains the author. Publish.fun round 2 is reviewing the earlier v1.1.0 submission; acceptance is not claimed.
✓ Reviewed
Latest Version
Version 3
October 29, 2026 05:58
Geometric stability and observable inference in dual Koopman–von Neumann embeddings: Corrections and reproducible counterexamples
We examine version 2 of arXiv:2609.28999, which reconstructs conservative nonlinear ordinary differential equations from means of transported probability densities. The printed geometric-distortion definition retains the initial separation between neighboring states …
Version Notes: Version 1.1.0: complete-flow increment estimate uniform in packet width, smooth conservative-flow realization of the readout counterexample, quantified numerical consequences, verified line-numbered source excerpts, a standard directional-statistics reference, and seven passing verification groups. Canonical author Taylor Kalin. This revision responds to editorial review; acceptance is not claimed.
✓ Reviewed
Version 2
October 29, 2026 05:43
Geometric stability and observable inference in dual Koopman–von Neumann embeddings: Corrections and reproducible counterexamples
We examine version 2 of arXiv:2609.28999, which reconstructs conservative nonlinear ordinary differential equations from means of transported probability densities. The printed geometric-distortion definition retains the initial separation between neighboring states …
Version Notes: Funding declaration clarified following the author's confirmation: this study was self-funded by Taylor Kalin, including computing resources and AI tools. No mathematical argument or numerical result changed.
✓ Reviewed
Version 1
October 29, 2026 05:35
Geometric stability and observable inference in dual Koopman–von Neumann embeddings: Corrections and reproducible counterexamples
We examine version 2 of arXiv:2609.28999, which reconstructs conservative nonlinear ordinary differential equations from means of transported probability densities. The printed geometric-distortion definition retains the initial separation between neighboring states …
✓ Reviewed