{
  "abstract": "Comment on arXiv:2605.02621 [23] and arXiv:2606.05197 [24]: In contrast to his earlier comment [23] on rspa.2025.0413 [12] and answered in arXiv:2605.20443 [11], the same author of [24] does not seem to dispute any longer that the use in [12] of tools from Feynman's [5] namely - the kernel approach, which computes a wave starting at a given initial position or momentum, and is a key element in [12] to ensure that the Bohm-like quantum potential vanishes. This is directly verified in all examples of [12] as well as in the Pauli, Dirac and Maxwell derivations from classical action. This approach is very different from the standard Bohm-Madelung potential on the overall wave, as illustrated in detail in [11] for the two-slit experiment. - for the harmonic oscillator, the kernel computation directly from a Taylor series expansion, which does not involve any circularity. His second post [24] now - criticizes the use in [12], [11] of Duru and Kleinert's time-independent eigenwave equivalence of the original and the time-scaled Schrödinger equations [4], confusing this standard result with a multivariable chain rule in the time-dependent kernel computation from action in [12]. - claims that \"The mathematical framework presented by the authors remains identical to the well-established semiclassical Van Vleck propagator [sic]\" which requires that the \"Hamiltonian is at most quadratic in position and momentum [sic]\". This confuses a quadratic action in the vector case with a harmonic propagated density based on the Laplacian of the action (with harmonicity always fulfilled e.g., for holomorphic complex functions [10]. In addition, it ignores the extension of a real position to a complex or quaternion position or spin, the key result on multi-valued action branches (which enables a classical derivation of quantum randomness) and the quantization of classical action in [12].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Proceedings of the Royal Society A, 482(2336):20250413, 2026",
  "arxiv": "2605.20443",
  "author_total": 2,
  "authors": [
    {
      "name": "Winfried Lohmiller"
    },
    {
      "name": "Jean-Jacques Slotine"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7szzy4zw0pqj8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.20443",
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  "landing_url": "https://arxiv.org/abs/2605.20443",
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  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "3107|Quantum Mechanics and Applications"
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  "openalex": "W7161944404",
  "pdf_url": "https://arxiv.org/pdf/2605.20443",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7szzy4zw0pqj8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2605.20443",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.20443"
    }
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  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Interpreting Bohm-like quantum potentials in \"Computing quantum waves exactly from classical action\"",
  "title_text": "Interpreting Bohm-like quantum potentials in \"Computing quantum waves exactly from classical action\"",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/7szzy4zw0pqj8",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1098/rspa.2025.0413",
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      "title": null,
      "venue": null
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}