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April 26, 20260 citationsOpen Access

Kardar-Parisi-Zhang Universality in Two Dimensions and Its Value as a Bridge Validation of the Fractal Consistency Law

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CUCésar Daniel Reyna Ugarriza

Key Points

  • This research evaluates the relationship between Kardar–Parisi–Zhang universal scaling and the Fractal Consistency Law.
  • Evaluated universal scaling in open, driven-dissipative quantum systems.
  • Compared findings to the Fractal Consistency Law claims.
  • Developed a formal connection to the Principle of Minimum Inconsistency.
  • Confirmed the convergence of quantum systems to universal macroscopic scaling laws.
  • Strengthened the conceptual framework related to structural selection and multiscale emergence.

Abstract

This article evaluates the physical, epistemic, and methodological scope of Observation of Kardar–Parisi–Zhang universal scaling in two dimensions for the theoretical program of the Fractal Consistency Law (FCL). The central thesis is that the result does not provide a direct validation of the FCL in its strong claims regarding spacetime fractal texture, residual cosmological fractal tension, or dark-sector reinterpretation. However, it does provide a high-value bridge validation because it experimentally confirms that open, driven-dissipative quantum systems can converge to universal macroscopic scaling laws that are relatively independent of many microscopic details. On this basis, the paper develops a formal but limited relation between nonequilibrium universality and the Principle of Minimum Inconsistency (PMI). The conclusion is not that the experiment proves the FCL, but that it strengthens the conceptual horizon in which a physics of consistency, structural selection, and multiscale emergence becomes more plausible.

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Cite This Study

César Daniel Reyna Ugarriza (2026) studied this question.

synapsesocial.com/papers/69edadd94a46254e215b561dhttps://doi.org/10.5281/zenodo.19742789
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