Five Fitted Coefficients, Priced: von Weizsäcker's Liquid-Drop Mass Formula, Its Valley and Its 8 MeV, and the Shells Outside the Drop

Census pricing (row CC-114) of the founding step of von Weizsacker's 'Zur Theorie der Kernmassen,' Z. Phys. 96, 431-458 (1935), against a fixed bench (what is postulated, what is derived, what the postulates return numerically, what they cannot reach). The step is five fitted coefficients (declared set aV = 15.75, aS = 17.8, aC = 0.711, aA = 23.7, aP = 11.18 MeV, labelled fitted wherever they appear) riding on one model picture, the charged liquid drop. Verified in the notebook (10 checks, exit 0) against eight named measured binding energies spent as audit targets: grid RMS residual 5.67 MeV, U-238 residual +13.03 MeV, Pb-208 returned at 1634.26 MeV as a cancellation among fitted terms (+3276.00 volume), and the valley of stability Z* returned within one charge unit of the actual Z at A = 16 / 56 / 120 / 208 / 238 (the genuine derived return, credited). Remainders at full size: magic-number residuals of both signs (He-4 -5.45 MeV, Ca-40 +2.52 MeV) -- the fit absorbs the average shell effect and the shell term lives at CC-98's address; deformation and the light-nucleus regime are outside the spherical drop. Scout-grade verification disclosed on the manuscript's face (CC-91 form): no verbatim quotation, no page-specific claim. EXTENSION. Vacuum catastrophe NOT SOLVED; quantum gravity NOT SOLVED.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23937593
Primary Topic
Nuclear physics research studies
Type
preprint
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preprint

Five Fitted Coefficients, Priced: von Weizsäcker's Liquid-Drop Mass Formula, Its Valley and Its 8 MeV, and the Shells Outside the Drop

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Nuclear physics research studies
preprint

Five Fitted Coefficients, Priced: von Weizsäcker's Liquid-Drop Mass Formula, Its Valley and Its 8 MeV, and the Shells Outside the Drop

William Alexander Aldred
preprint en

Abstract

Census pricing (row CC-114) of the founding step of von Weizsacker's 'Zur Theorie der Kernmassen,' Z. Phys. 96, 431-458 (1935), against a fixed bench (what is postulated, what is derived, what the postulates return numerically, what they cannot reach). The step is five fitted coefficients (declared set aV = 15.75, aS = 17.8, aC = 0.711, aA = 23.7, aP = 11.18 MeV, labelled fitted wherever they appear) riding on one model picture, the charged liquid drop. Verified in the notebook (10 checks, exit 0) against eight named measured binding energies spent as audit targets: grid RMS residual 5.67 MeV, U-238 residual +13.03 MeV, Pb-208 returned at 1634.26 MeV as a cancellation among fitted terms (+3276.00 volume), and the valley of stability Z* returned within one charge unit of the actual Z at A = 16 / 56 / 120 / 208 / 238 (the genuine derived return, credited). Remainders at full size: magic-number residuals of both signs (He-4 -5.45 MeV, Ca-40 +2.52 MeV) -- the fit absorbs the average shell effect and the shell term lives at CC-98's address; deformation and the light-nucleus regime are outside the spherical drop. Scout-grade verification disclosed on the manuscript's face (CC-91 form): no verbatim quotation, no page-specific claim. EXTENSION. Vacuum catastrophe NOT SOLVED; quantum gravity NOT SOLVED.

Zenodo (CERN European Organization for Nuclear Research)
Nuclear physics research studies
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