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April 8, 20260 citationsOpen Access

Cross-Scale Structure in the Thermo-Temporal Quantity κ = τT

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HGHohbach George

Key Points

  • To investigate the structured behavior of the thermo-temporal quantity κ = τT across various physical domains.
  • Analyzed publicly available datasets including Planck CMB measurements and local H₀ data.
  • Evaluated κ across approximately 70 orders of magnitude.
  • Normalized values to a cosmological baseline to facilitate comparison across domains.
  • Observed non-random clustering of κ values across logarithmic scale.
  • Identified consistent ordering of thermo-temporal quantities across different domains.
  • Introduced a conjugate parameter λ leading to a stable form of κλ ≈ constant.

Abstract

We report the observation of a structured thermo-temporal quantity defined as κ = τT (time × temperature) across multiple physical domains, including quantum, atomic, biological, stellar, and cosmological systems. Using publicly available datasets (e.g., Planck CMB measurements and local H₀ observations), κ is evaluated over approximately 70 orders of magnitude. While absolute values vary significantly, the values exhibit non-random clustering and consistent ordering across logarithmic scale. To enable cross-domain comparison, quantities are normalized to a cosmological baseline (κ₀), yielding a dimensionless representation. This reveals a coherent structural pattern that motivates the introduction of a conjugate parameter λ, allowing the system to be expressed in the form κλ ≈ constant. This work presents the observation in a minimal, testable form using open data.

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Cite This Study

Hohbach George (2026) studied this question.

synapsesocial.com/papers/69d5f13674eaea4b11a7ac4fhttps://doi.org/10.5281/zenodo.19441481
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