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Zenodo
2026
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| Online-Zugang: | https://doi.org/10.5281/zenodo.19687783 |
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| _version_ | 1866901230274478080 |
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| author | Scretching, Daniel |
| author_facet | Scretching, Daniel |
| contents | <p>“Building on Cox’s spectrophotometric DNA studies, this document reformulates the ratio <span class="katex copyable-equation"><span class="katex-html"><span class="base"><span class="mord"><span class="mord mathnormal">r</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">28/26</span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mrel">=</span></span><span class="base"><span class="mord"><span class="mord mathnormal">E</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">280</span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mord">/</span><span class="mord"><span class="mord mathnormal">E</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">260</span></span></span><span class="vlist-s"></span></span></span></span></span></span></span></span> as a direct entrance coordinate in a reciprocal Cox–Scretching closure. Cox 1966 established the ratio as a useful observable for cytosine ionization and secondary-structure change, and Cox–Kanagalingam 1968 showed that denatured DNA retains measurable single-strand hypochromism, diminished by roughly 40% in 8 M urea. With Yakovchuk et al.’s later result that base stacking is the dominant stabilizing factor in duplex DNA, these observations are unified here through the Scretching Equations of Quantum Molecular Biology I–III and the Ifft–JDCS refractive-index branch. The resulting verified equations,</p> <p><span class="katex copyable-equation"><span class="katex-html"><span class="base"><span class="mord mathnormal">ρ</span><span class="mrel">=</span></span><span class="base"><span class="mord">1.825</span><span class="mbin">−</span></span><span class="base"><span class="mord"><span class="mord mathnormal">β</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">s</span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mord">/</span><span class="mord"><span class="mord mathnormal">r</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">28/26</span></span></span><span class="vlist-s"></span></span></span></span></span></span></span></span>,</p> <p><span class="katex copyable-equation"><span class="katex-mathml">Tm=138.303011−35.729302/r28/26</span></span></p> <p><span class="katex copyable-equation"><span class="katex-mathml">ηD=1.410640786−1/(127.114 r28/26)</span></span></p> <p>with <span class="katex copyable-equation"><span class="katex-mathml">βs=10.8601/127.114=0.0854359079 </span></span></p> <p>convert the Cox ratio directly into density, melting temperature, and refractive index. A further helical-order gate is obtained from the Cox cytosine <span class="katex copyable-equation"><span class="katex-html"><span class="base"><span class="mord mathnormal">p</span><span class="mord mathnormal">K</span></span></span></span> split, <span class="katex copyable-equation"><span class="katex-mathml">ΔpKC=1.45\Delta pK_C=1.45</span><span class="katex-html"><span class="base"><span class="mord">Δ</span><span class="mord mathnormal">p</span><span class="mord"><span class="mord mathnormal">K</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">C</span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mrel">=</span></span><span class="base"><span class="mord">1.45</span></span></span></span>, implying an ionization-suppression factor of about 28.18, and the document concludes by organizing helical order and residual stacking into a two-coordinate state space <span class="katex copyable-equation"><span class="katex-mathml">Ψ=(hc,fs)</span></span>, with graphs and tables verifying the internal consistency of the merged framework.”</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19687783 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Cox 1966, Cox–Kanagalingam 1968, and the Scretching–JDCS–Maxwell–SQC Closure Scretching, Daniel <p>“Building on Cox’s spectrophotometric DNA studies, this document reformulates the ratio <span class="katex copyable-equation"><span class="katex-html"><span class="base"><span class="mord"><span class="mord mathnormal">r</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">28/26</span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mrel">=</span></span><span class="base"><span class="mord"><span class="mord mathnormal">E</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">280</span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mord">/</span><span class="mord"><span class="mord mathnormal">E</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">260</span></span></span><span class="vlist-s"></span></span></span></span></span></span></span></span> as a direct entrance coordinate in a reciprocal Cox–Scretching closure. Cox 1966 established the ratio as a useful observable for cytosine ionization and secondary-structure change, and Cox–Kanagalingam 1968 showed that denatured DNA retains measurable single-strand hypochromism, diminished by roughly 40% in 8 M urea. With Yakovchuk et al.’s later result that base stacking is the dominant stabilizing factor in duplex DNA, these observations are unified here through the Scretching Equations of Quantum Molecular Biology I–III and the Ifft–JDCS refractive-index branch. The resulting verified equations,</p> <p><span class="katex copyable-equation"><span class="katex-html"><span class="base"><span class="mord mathnormal">ρ</span><span class="mrel">=</span></span><span class="base"><span class="mord">1.825</span><span class="mbin">−</span></span><span class="base"><span class="mord"><span class="mord mathnormal">β</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">s</span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mord">/</span><span class="mord"><span class="mord mathnormal">r</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">28/26</span></span></span><span class="vlist-s"></span></span></span></span></span></span></span></span>,</p> <p><span class="katex copyable-equation"><span class="katex-mathml">Tm=138.303011−35.729302/r28/26</span></span></p> <p><span class="katex copyable-equation"><span class="katex-mathml">ηD=1.410640786−1/(127.114 r28/26)</span></span></p> <p>with <span class="katex copyable-equation"><span class="katex-mathml">βs=10.8601/127.114=0.0854359079 </span></span></p> <p>convert the Cox ratio directly into density, melting temperature, and refractive index. A further helical-order gate is obtained from the Cox cytosine <span class="katex copyable-equation"><span class="katex-html"><span class="base"><span class="mord mathnormal">p</span><span class="mord mathnormal">K</span></span></span></span> split, <span class="katex copyable-equation"><span class="katex-mathml">ΔpKC=1.45\Delta pK_C=1.45</span><span class="katex-html"><span class="base"><span class="mord">Δ</span><span class="mord mathnormal">p</span><span class="mord"><span class="mord mathnormal">K</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">C</span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mrel">=</span></span><span class="base"><span class="mord">1.45</span></span></span></span>, implying an ionization-suppression factor of about 28.18, and the document concludes by organizing helical order and residual stacking into a two-coordinate state space <span class="katex copyable-equation"><span class="katex-mathml">Ψ=(hc,fs)</span></span>, with graphs and tables verifying the internal consistency of the merged framework.”</p> |
| title | Cox 1966, Cox–Kanagalingam 1968, and the Scretching–JDCS–Maxwell–SQC Closure |
| url | https://doi.org/10.5281/zenodo.19687783 |