The Power Law Within Each Element — the author's question, its two traps, and the address of what it found

The question, as asked: separate the atoms — there may be a power law within each of them, and that's an environmental issue then, for each sort of atom to figure out. Run properly, with two traps disarmed in advance, the question finds something real — and its address turns out to be a place the register already knows. The traps, named first. Within one element the fractional miss falls as ~1/A automatically (the mass in the denominator grows while the absolute miss stays a few MeV — Paper 78's size illusion), so a fractional-miss law inside a chain is guaranteed arithmetic; this paper fits the absolute miss in MeV. And fitting 109 chains invites fishing, so every chain is fitted, the full distribution is reported, and a 200-round shuffle control prices what chance provides (D11). This record holds one paper on its own and is refreshed every couple of months. The complete deposit, 10.5281/zenodo.21788037, holds every paper with its code and data and is updated first; for the newest version of this paper, go there.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23848515
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

The Power Law Within Each Element — the author's question, its two traps, and the address of what it found

James Norman Ibbotson
4 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

The Power Law Within Each Element — the author's question, its two traps, and the address of what it found

James Norman Ibbotson
preprint en

Abstract

The question, as asked: separate the atoms — there may be a power law within each of them, and that's an environmental issue then, for each sort of atom to figure out. Run properly, with two traps disarmed in advance, the question finds something real — and its address turns out to be a place the register already knows. The traps, named first. Within one element the fractional miss falls as ~1/A automatically (the mass in the denominator grows while the absolute miss stays a few MeV — Paper 78's size illusion), so a fractional-miss law inside a chain is guaranteed arithmetic; this paper fits the absolute miss in MeV. And fitting 109 chains invites fishing, so every chain is fitted, the full distribution is reported, and a 200-round shuffle control prices what chance provides (D11). This record holds one paper on its own and is refreshed every couple of months. The complete deposit, 10.5281/zenodo.21788037, holds every paper with its code and data and is updated first; for the newest version of this paper, go there.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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