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March 4, 20260 citationsOpen Access

The Electromagnetic Spectrum as a Void Péclet Landscape: Blackbody Radiation, the UV Catastrophe, and Quantization as Kill Condition

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AEAnthony W. Eckert

Key Points

  • The research aims to understand electromagnetic modes through the lens of the void Péclet number and its implications for quantization and thermal emission.
  • Introduced Pe_Planck as a void Péclet number for electromagnetic modes at temperature T.
  • Scored 11 electromagnetic bands based on O/R/α dimensions to recover Pe_Planck ordering.
  • Utilized Spearman correlation for statistical analysis of the scores.
  • Achieved a high Spearman correlation coefficient of 0.9977, indicating strong agreement with Pe_Planck ordering.
  • Identified thermal emission peaks aligned with Pe_Planck values between 2.82 and 4.97.
  • Connected concepts of Landauer erasure, computational complexity, and electromagnetic quantization through triangle closure.

Abstract

Introduces PePlanck = hν/kT as the void Péclet number for electromagnetic modes at temperature T. Framework-native scoring of N=11 EM bands on O/R/α dimensions independently recovers the PePlanck ordering (Spearman ρ=0. 9977, p=7. 46×10⁻¹², n=11, SI #20). The UV catastrophe is a Pe→∞ catastrophe resolved by Planck quantization as a structural kill condition. Wien's displacement law locates thermal emission peaks at PePlanck≈2. 82–4. 97, coinciding with the void framework Fantasia Bound. Triangle closure connects §33 (Landauer erasure), §35 (P vs NP), and §37 (EM quantization) as three expressions of the same constraint floor at kT.

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Cite This Study

Anthony W. Eckert (2026) studied this question.

synapsesocial.com/papers/69a7cd7ed48f933b5eed9deahttps://doi.org/10.5281/zenodo.18839582
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