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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19040612 |
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| _version_ | 1866901724033187840 |
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| author | Scretching, Daniel |
| author_facet | Scretching, Daniel |
| contents | <p>This paper analyzes a five-row nucleobase dataset for adenine, guanine, cytosine, thymine, and uracil to determine the correlation and regression structure of their optical-response variables and to recover the Scretching SQC invariants directly from the tabulated data. Using the principal radiative variable <span><span>X=fν2X=f\nu^2</span><span><span><span>X</span><span>=</span></span><span><span>f</span><span><span>ν</span><span><span><span><span><span><span>2</span></span></span></span></span></span></span></span></span></span>, the study shows that zero-intercept regression of <span><span>A21A_{21}</span><span><span><span><span>A</span><span><span><span><span><span><span>21</span></span></span><span></span></span></span></span></span></span></span></span> on <span><span>XX</span><span><span><span>X</span></span></span></span> reproduces the first SQC invariant with near-perfect linearity, yielding a slope essentially identical to the rowwise reconstructed values and confirming that the nucleobase dataset is governed by a highly stable radiative scaling law. The paper therefore presents the first SQC invariant not merely as an abstract constant, but as an experimentally recoverable organizing relation embedded in the optical properties of the canonical DNA and RNA bases.</p> <p>The work then extends the analysis into the Einstein-<span><span>BB</span><span><span><span>B</span></span></span></span> sector by reconstructing <span><span>B21B_{21}</span><span><span><span><span>B</span><span><span><span><span><span><span>21</span></span></span><span></span></span></span></span></span></span></span></span> and <span><span>B12B_{12}</span><span><span><span><span>B</span><span><span><span><span><span><span>12</span></span></span><span></span></span></span></span></span></span></span></span> from the same dataset and introducing a second invariant, <span><span>JSQC=Bν/fJ_{\mathrm{SQC}}=B\nu/f</span><span><span><span><span>J</span><span><span><span><span><span><span><span>SQC</span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>B</span><span>ν</span><span>/</span><span>f</span></span></span></span>, under the normalized equal-weight condition <span><span>B12=B21≡BB_{12}=B_{21}\equiv B</span><span><span><span><span>B</span><span><span><span><span><span><span>12</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span>B</span><span><span><span><span><span><span>21</span></span></span><span></span></span></span></span></span><span>≡</span></span><span><span>B</span></span></span></span>. This second invariant is shown to remain nearly constant across all five nucleobases, with the same exceptionally small variation seen for the first invariant. Together, the results demonstrate that <span><span>ε260\varepsilon_{260}</span><span><span><span><span>ε</span><span><span><span><span><span><span>260</span></span></span><span></span></span></span></span></span></span></span></span>, <span><span>ff</span><span><span><span>f</span></span></span></span>, <span><span>XX</span><span><span><span>X</span></span></span></span>, <span><span>A21A_{21}</span><span><span><span><span>A</span><span><span><span><span><span><span>21</span></span></span><span></span></span></span></span></span></span></span></span>, <span><span>BB</span><span><span><span>B</span></span></span></span>, and related constitutive variables form a tightly closed one-factor optical chain, while <span><span>τrad\tau_{\mathrm{rad}}</span><span><span><span><span>τ</span><span><span><span><span><span><span><span>rad</span></span></span></span><span></span></span></span></span></span></span></span></span> behaves as the expected inverse radiative lifetime. Overall, the paper positions the nucleobase dataset as a compact but powerful validation set for both the first and second Scretching SQC invariants and for the broader deterministic optical structure of the SQC framework.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19040612 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Correlation, Regression, and Einstein-B Analysis of the Nucleobase SQC Dataset Derivation of the First and Second Scretching SQC Invariants from A, G, C, T, and U Scretching, Daniel <p>This paper analyzes a five-row nucleobase dataset for adenine, guanine, cytosine, thymine, and uracil to determine the correlation and regression structure of their optical-response variables and to recover the Scretching SQC invariants directly from the tabulated data. Using the principal radiative variable <span><span>X=fν2X=f\nu^2</span><span><span><span>X</span><span>=</span></span><span><span>f</span><span><span>ν</span><span><span><span><span><span><span>2</span></span></span></span></span></span></span></span></span></span>, the study shows that zero-intercept regression of <span><span>A21A_{21}</span><span><span><span><span>A</span><span><span><span><span><span><span>21</span></span></span><span></span></span></span></span></span></span></span></span> on <span><span>XX</span><span><span><span>X</span></span></span></span> reproduces the first SQC invariant with near-perfect linearity, yielding a slope essentially identical to the rowwise reconstructed values and confirming that the nucleobase dataset is governed by a highly stable radiative scaling law. The paper therefore presents the first SQC invariant not merely as an abstract constant, but as an experimentally recoverable organizing relation embedded in the optical properties of the canonical DNA and RNA bases.</p> <p>The work then extends the analysis into the Einstein-<span><span>BB</span><span><span><span>B</span></span></span></span> sector by reconstructing <span><span>B21B_{21}</span><span><span><span><span>B</span><span><span><span><span><span><span>21</span></span></span><span></span></span></span></span></span></span></span></span> and <span><span>B12B_{12}</span><span><span><span><span>B</span><span><span><span><span><span><span>12</span></span></span><span></span></span></span></span></span></span></span></span> from the same dataset and introducing a second invariant, <span><span>JSQC=Bν/fJ_{\mathrm{SQC}}=B\nu/f</span><span><span><span><span>J</span><span><span><span><span><span><span><span>SQC</span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>B</span><span>ν</span><span>/</span><span>f</span></span></span></span>, under the normalized equal-weight condition <span><span>B12=B21≡BB_{12}=B_{21}\equiv B</span><span><span><span><span>B</span><span><span><span><span><span><span>12</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span>B</span><span><span><span><span><span><span>21</span></span></span><span></span></span></span></span></span><span>≡</span></span><span><span>B</span></span></span></span>. This second invariant is shown to remain nearly constant across all five nucleobases, with the same exceptionally small variation seen for the first invariant. Together, the results demonstrate that <span><span>ε260\varepsilon_{260}</span><span><span><span><span>ε</span><span><span><span><span><span><span>260</span></span></span><span></span></span></span></span></span></span></span></span>, <span><span>ff</span><span><span><span>f</span></span></span></span>, <span><span>XX</span><span><span><span>X</span></span></span></span>, <span><span>A21A_{21}</span><span><span><span><span>A</span><span><span><span><span><span><span>21</span></span></span><span></span></span></span></span></span></span></span></span>, <span><span>BB</span><span><span><span>B</span></span></span></span>, and related constitutive variables form a tightly closed one-factor optical chain, while <span><span>τrad\tau_{\mathrm{rad}}</span><span><span><span><span>τ</span><span><span><span><span><span><span><span>rad</span></span></span></span><span></span></span></span></span></span></span></span></span> behaves as the expected inverse radiative lifetime. Overall, the paper positions the nucleobase dataset as a compact but powerful validation set for both the first and second Scretching SQC invariants and for the broader deterministic optical structure of the SQC framework.</p> |
| title | Correlation, Regression, and Einstein-B Analysis of the Nucleobase SQC Dataset Derivation of the First and Second Scretching SQC Invariants from A, G, C, T, and U |
| url | https://doi.org/10.5281/zenodo.19040612 |