Newton's Constant Is Not Primitive in Quantum Traction Theory: Artian Angular Capacity, Universal Endurance Ceilings, and G = ℓ_A² c³ / ℏ Without Planck-Length Circularity
- 1Independent Researcher, Colombes, France
Abstract
Six algebraic faces of Newton's constant, with the neutrino face split into shape and absolute-scale tests
boxed ∇ · Jend=−4πℓA3/(mA tA)ρM, g=1/tAJend, CΩ=4π, χg=1, GA=ℓA2c3/ℏ.
The source construction links a finite endurance sink to an attractive Newtonian field. In its declared oriented, globally linear response class, the gravitational coefficient follows from one source ruler rather than a measured gravitational coupling.
Artian's Ruler fixes the tick and mass units. A2 counts the support required per funded mass unit; radial-angular capacity supplies the support volume; the endpoint map carries the inward current into acceleration. The paper derives the resulting Newton-Poisson coefficient and separates structural closure from the independent anchors used for numerical SI comparisons.
What selects the response?
An explicit proof distinguishes an oriented endpoint from a magnitude ceiling. It also gives a finite-mixture criterion: when current is sufficient for the mean response and unresolved mixtures preserve those means, linearity follows. Fixed nonlinear counterexamples show exactly which condition they violate. These are declared physical conditions, not fitted gains.
The six algebraic faces, constructor chronology, neutrino shape and absolute-scale comparisons, and falsifiers remain connected. A new laboratory bridge does not reopen the source implication; conversely, a conditional implication is not presented as an independent measurement of its physical premises.
The current-version PDF is the primary preview. The reconstruction ZIP contains the full source and reproducible calculations.
Stable paper DOI · Artian's Universe: Main Book · Corpus Tree
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BibTeX
@misc{attar2026newtons,
title = {{Newton's Constant Is Not Primitive in Quantum Traction Theory: Artian Angular Capacity, Universal Endurance Ceilings, and G = ℓ_A² c³ / ℏ Without Planck-Length Circularity}},
author = {Ali Attar},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23481839},
url = {https://zenodo.org/records/23481839},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Newton's Constant Is Not Primitive in Quantum Traction Theory: Artian Angular Capacity, Universal Endurance Ceilings, and G = ℓ_A² c³ / ℏ Without Planck-Length Circularity
AU - Ali Attar
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23481839
UR - https://zenodo.org/records/23481839
AB - Six algebraic faces of Newton's constant, with the neutrino face split into shape and absolute-scale tests boxed ∇ · J_end=−4πℓ_A^3/(m_A t_A)ρ_M, g=1/t_AJ_end, C_Ω=4π, χ_g=1, G_A=ℓ_A^2c^3/ℏ. The source construction links a finite endurance sink to an attractive Newtonian field. In its declared oriented, globally linear response class, the gravitational coefficient follows from one source ruler rather than a measured gravitational coupling. Artian's Ruler fixes the tick and mass units. A2 counts the support required per funded mass unit; radial-angular capacity supplies the support volume; the endpoint map carries the inward current into acceleration. The paper derives the resulting Newton-Poisson coefficient and separates structural closure from the independent anchors used for numerical SI comparisons. What selects the response? An explicit proof distinguishes an oriented endpoint from a magnitude ceiling. It also gives a finite-mixture criterion: when current is sufficient for the mean response and unresolved mixtures preserve those means, linearity follows. Fixed nonlinear counterexamples show exactly which condition they violate. These are declared physical conditions, not fitted gains. The six algebraic faces, constructor chronology, neutrino shape and absolute-scale comparisons, and falsifiers remain connected. A new laboratory bridge does not reopen the source implication; conversely, a conditional implication is not presented as an independent measurement of its physical premises. The current-version PDF is the primary preview. The reconstruction ZIP contains the full source and reproducible calculations. Stable paper DOI · Artian's Universe: Main Book · Corpus Tree
ER -