Monomials Beyond φ_i = 4.00 and Below 0.10: The Decic Arrives at φ_i = 4.4597, a Sixth Member at 5.2290 — and Nothing at All Below 0.10

The monomial rolling-field class is computed beyond paper #549's scan end and below 0.10: gated digit-for-digit on #549's exhibits, on #537's exhibits including both ends of its threshold bracket re-run, and on the far-standard rows and the parent's standard-condition maxima, the decic's surface begins at phi_i* = 4.4597 (bisected, bracket [4.45972, 4.45978]) and the n = 12 member, scanned for the first time anywhere in the record, begins at phi_i* = 5.2290, extending the staircase of beginnings to six thresholds with spacings 0.87, 0.81, 0.80, 0.78, 0.77. Below 0.10 every member's maximum falls monotonically on the grid phi_i in {0.02, 0.04, 0.06, 0.08, 0.09} and nothing conditions in [0.02, 0.10), the largest maximum being 0.0063, short by 0.6768. Odd n excluded on the parent's printed ground. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-03
DOI
https://doi.org/10.5281/zenodo.23936853
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Monomials Beyond φ_i = 4.00 and Below 0.10: The Decic Arrives at φ_i = 4.4597, a Sixth Member at 5.2290 — and Nothing at All Below 0.10

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Monomials Beyond φ_i = 4.00 and Below 0.10: The Decic Arrives at φ_i = 4.4597, a Sixth Member at 5.2290 — and Nothing at All Below 0.10

William Alexander Aldred
preprint en

Abstract

The monomial rolling-field class is computed beyond paper #549's scan end and below 0.10: gated digit-for-digit on #549's exhibits, on #537's exhibits including both ends of its threshold bracket re-run, and on the far-standard rows and the parent's standard-condition maxima, the decic's surface begins at phi_i* = 4.4597 (bisected, bracket [4.45972, 4.45978]) and the n = 12 member, scanned for the first time anywhere in the record, begins at phi_i* = 5.2290, extending the staircase of beginnings to six thresholds with spacings 0.87, 0.81, 0.80, 0.78, 0.77. Below 0.10 every member's maximum falls monotonically on the grid phi_i in {0.02, 0.04, 0.06, 0.08, 0.09} and nothing conditions in [0.02, 0.10), the largest maximum being 0.0063, short by 0.6768. Odd n excluded on the parent's printed ground. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.

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