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The work is theoretical in nature and aims to provide a unified interpretative framework linking microscopic and macroscopic phenomena within a common wave-based and fractal perspective.</p>\n<p><strong><em>Correction dated 23.04.2026:&nbsp; </em></strong><em><span>The revision is largely complete. It has been decided to apply the fractal calculation formula only to a single step&mdash;one level down and one level up. The possibility of deriving a more general and simpler formula applicable to transitions between arbitrary levels is not excluded in future work.</span></em></p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>\n<p>\u0412 \u0440\u0430\u0431\u043e\u0442\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0430 \u0442\u0435\u043e\u0440\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c, \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u044e\u0449\u0430\u044f \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0440\u0435\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u043a \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0432\u0437\u0430\u0438\u043c\u043e\u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0445 \u0432\u043e\u043b\u043d\u043e\u0432\u044b\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432, \u043e\u0440\u0433\u0430\u043d\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u043f\u043e \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u0430\u043c \u0440\u0435\u0437\u043e\u043d\u0430\u043d\u0441\u0430 \u0438 \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u0438\u0440\u0443\u0435\u043c\u043e\u0441\u0442\u0438. \u0412 \u0440\u0430\u043c\u043a\u0430\u0445 \u043c\u043e\u0434\u0435\u043b\u0438 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0435 \u0447\u0430\u0441\u0442\u0438\u0446\u044b \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u044e\u0442\u0441\u044f \u043a\u0430\u043a \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u044b\u0435 \u0441\u0442\u043e\u044f\u0447\u0438\u0435 \u0432\u043e\u043b\u043d\u043e\u0432\u044b\u0435 \u043a\u043e\u043d\u0444\u0438\u0433\u0443\u0440\u0430\u0446\u0438\u0438 \u0432 \u044d\u043d\u0435\u0440\u0433\u043e\u043d\u0430\u0441\u044b\u0449\u0435\u043d\u043d\u043e\u0439 \u0441\u0440\u0435\u0434\u0435, \u0430 \u0432\u0437\u0430\u0438\u043c\u043e\u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438 &mdash; \u043a\u0430\u043a \u043f\u0440\u043e\u044f\u0432\u043b\u0435\u043d\u0438\u044f \u0435\u0434\u0438\u043d\u043e\u0433\u043e \u0440\u0435\u0437\u043e\u043d\u0430\u043d\u0441\u043d\u043e\u0433\u043e \u043c\u0435\u0445\u0430\u043d\u0438\u0437\u043c\u0430.</p>\n<p>\u041f\u0440\u0435\u0434\u043b\u0430\u0433\u0430\u0435\u0442\u0441\u044f \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u044f \u043c\u0430\u0441\u0441\u044b, \u044d\u043b\u0435\u043a\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0437\u0430\u0440\u044f\u0434\u0430 \u0438 \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u0438 \u043a\u0430\u043a \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a \u0432\u043e\u043b\u043d\u043e\u0432\u044b\u0445 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440, \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u044e\u0449\u0438\u0445 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0444\u043e\u0440\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u044b\u0445 \u0440\u0435\u0437\u043e\u043d\u0430\u043d\u0441\u043d\u044b\u0445 \u0440\u0435\u0436\u0438\u043c\u043e\u0432. \u0424\u0443\u043d\u0434\u0430\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u0435 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u044b \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u044e\u0442\u0441\u044f \u043a\u0430\u043a \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0449\u0438\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u044f \u0432\u0437\u0430\u0438\u043c\u043e\u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f \u043d\u0430 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u043e\u043c \u0443\u0440\u043e\u0432\u043d\u0435 \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f.</p>\n<p>\u041e\u0441\u043e\u0431\u043e\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u0443\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0440\u0433\u0430\u043d\u0438\u0437\u0430\u0446\u0438\u0438 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432, \u043f\u0440\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u043d\u044b\u0435 \u0443\u0440\u043e\u0432\u043d\u0438 \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0447\u0435\u0440\u0435\u0437 \u0437\u0430\u043a\u043e\u043d\u043e\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u0438 \u0432\u043e\u043b\u043d\u043e\u0432\u043e\u0439 \u0434\u0438\u043d\u0430\u043c\u0438\u043a\u0438. \u041f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u0447\u0442\u043e \u043f\u0440\u0438 \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0435 \u043c\u0435\u0436\u0434\u0443 \u0443\u0440\u043e\u0432\u043d\u044f\u043c\u0438 \u0438\u0437\u043c\u0435\u043d\u044f\u044e\u0442\u0441\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b \u0441\u0438\u0441\u0442\u0435\u043c\u044b (\u043c\u0430\u0441\u0448\u0442\u0430\u0431\u044b, \u0447\u0430\u0441\u0442\u043e\u0442\u044b, \u044d\u0444\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u0438 \u0432\u0437\u0430\u0438\u043c\u043e\u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0439), \u043f\u0440\u0438 \u0441\u043e\u0445\u0440\u0430\u043d\u0435\u043d\u0438\u0438 \u0438\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u0432\u0437\u0430\u0438\u043c\u043e\u0441\u0432\u044f\u0437\u0435\u0439.</p>\n<p>\u0412 \u0440\u0430\u0431\u043e\u0442\u0435 \u0432\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0438 \u0435\u0451 \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0435\u043c\u043e\u0439 \u043a\u0430\u0440\u0442\u0438\u043d\u043e\u0439. \u041f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u0447\u0442\u043e \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0435\u043c\u0430\u044f \u0440\u0435\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u043c\u0438 \u0440\u0435\u0437\u043e\u043d\u0430\u043d\u0441\u043d\u043e\u0433\u043e \u0432\u0437\u0430\u0438\u043c\u043e\u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f \u0438 \u0443\u0440\u043e\u0432\u043d\u0435\u043c \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u0438, \u0447\u0442\u043e \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442 \u043a \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0435\u043c\u043e\u0439 \u043a\u0430\u0440\u0442\u0438\u043d\u044b \u0438 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0439 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u0435\u0451 \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u043e\u0442 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0432\u043e\u0441\u043f\u0440\u0438\u044f\u0442\u0438\u044f.</p>\n<p>\u041f\u0440\u0435\u0434\u043b\u043e\u0436\u0435\u043d\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c \u043d\u0435 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u0440\u0435\u0447\u0438\u0442 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u043c \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0442\u0435\u043e\u0440\u0438\u044f\u043c, \u0430 \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442 \u0438\u0445 \u043a\u0430\u043a \u044d\u0444\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u0432 \u043f\u0440\u0435\u0434\u0435\u043b\u0430\u0445 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u043d\u044b\u0445 \u0443\u0440\u043e\u0432\u043d\u0435\u0439. \u0420\u0430\u0431\u043e\u0442\u0430 \u043d\u043e\u0441\u0438\u0442 \u0442\u0435\u043e\u0440\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440 \u0438 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0430 \u043d\u0430 \u0444\u043e\u0440\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0435\u0434\u0438\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0438\u043e\u043d\u043d\u043e\u0433\u043e \u043f\u043e\u0434\u0445\u043e\u0434\u0430, \u0441\u0432\u044f\u0437\u044b\u0432\u0430\u044e\u0449\u0435\u0433\u043e \u043c\u0438\u043a\u0440\u043e\u0441\u043a\u043e\u043f\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0438 \u043c\u0430\u043a\u0440\u043e\u0441\u043a\u043e\u043f\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u044f\u0432\u043b\u0435\u043d\u0438\u044f \u0432 \u0440\u0430\u043c\u043a\u0430\u0445 \u043e\u0431\u0449\u0435\u0439 \u0432\u043e\u043b\u043d\u043e\u0432\u043e\u0439 \u0438 \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u043a\u0430\u0440\u0442\u0438\u043d\u044b.</p>\n<p><em><strong>\u041a\u043e\u0440\u0440\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u043e\u0442 2026.04.23. </strong></em><em><span>\u041a\u043e\u0440\u0440\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u043a\u0430 \u0432 \u043e\u0441\u043d\u043e\u0432\u043d\u043e\u043c \u0437\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u0430. \u041f\u0440\u0438\u043d\u044f\u0442\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u0447\u0451\u0442\u0430 \u0442\u043e\u043b\u044c\u043a\u043e \u0434\u043b\u044f \u043e\u0434\u043d\u043e\u0433\u043e \u0448\u0430\u0433\u0430 &mdash; \u043d\u0430 \u0443\u0440\u043e\u0432\u0435\u043d\u044c \u043d\u0438\u0436\u0435 \u0438 \u043d\u0430 \u0443\u0440\u043e\u0432\u0435\u043d\u044c \u0432\u044b\u0448\u0435. \u0412 \u0434\u0430\u043b\u044c\u043d\u0435\u0439\u0448\u0435\u043c \u043d\u0435 \u0438\u0441\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0432\u044b\u0432\u043e\u0434\u0430 \u0431\u043e\u043b\u0435\u0435 \u043e\u0431\u0449\u0435\u0439 \u0438 \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c\u043e\u0439 \u043a \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0430\u043c \u043c\u0435\u0436\u0434\u0443 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u043b\u044c\u043d\u044b\u043c\u0438 \u0443\u0440\u043e\u0432\u043d\u044f\u043c\u0438.</span></em></p>",
    "languages": [
      {
        "id": "eng",
        "title": {
          "en": "English"
        }
      },
      {
        "id": "rus",
        "title": {
          "en": "Russian"
        }
      }
    ],
    "publication_date": "2026-04-23",
    "publisher": "Zenodo",
    "references": [
      {
        "reference": "https://zenodo.org/records/17432603"
      },
      {
        "reference": "https://zenodo.org/records/17170686"
      },
      {
        "reference": "https://zenodo.org/records/19710623"
      },
      {
        "reference": "https://zenodo.org/records/19695379"
      },
      {
        "reference": "https://zenodo.org/records/19307384"
      },
      {
        "reference": "http://dzen.ru/id/66820d78f6faca1d3feac4b8"
      },
      {
        "reference": "https://zenodo.org/records/19311149"
      },
      {
        "reference": "https://zenodo.org/records/19484244"
      }
    ],
    "resource_type": {
      "id": "publication",
      "title": {
        "de": "Publikation",
        "en": "Publication"
      }
    },
    "rights": [
      {
        "description": {
          "en": "The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited."
        },
        "icon": "cc-by-icon",
        "id": "cc-by-4.0",
        "props": {
          "scheme": "spdx",
          "url": "https://creativecommons.org/licenses/by/4.0/legalcode"
        },
        "title": {
          "en": "Creative Commons Attribution 4.0 International"
        }
      }
    ],
    "subjects": [
      {
        "subject": "standing waves"
      },
      {
        "subject": "resonance"
      },
      {
        "subject": "wave structure of matter"
      },
      {
        "subject": "fractal structure"
      },
      {
        "subject": "frequency levels"
      },
      {
        "subject": "scaling"
      },
      {
        "subject": "nature of mass"
      },
      {
        "subject": "electric charge"
      },
      {
        "subject": "gravitation"
      },
      {
        "subject": "fundamental constants"
      },
      {
        "subject": "interpretation of physical parameters"
      },
      {
        "subject": "level of perception"
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