All-Orders Formal Radial Closure via a Corrected Universal Cubic Jet Ladder

This revised work establishes an all-orders formal radial closure construction within a specified cubic jet-ladder ansatz for a spatially covariant gravitational model. The revision introduces an additional cubic correction that completes the mass-three sector, derives the full lapse-variation formulas, and provides an explicit universal pivot and induction argument for all higher odd-mass sectors. The construction yields a formally unique sequence of correction coefficients within the prescribed ansatz, with controlled higher-order contributions. The supplementary material provides the algebraic derivations, filtration arguments, regression checks, and reproducibility calculations supporting the formal construction. The results concern formal asymptotic radial closure. They do not establish convergence of the infinite series, a finite-jet realization, global constraint closure, or a complete physical theory. This version supersedes the previous version by correcting and extending the mass-three completion, variational formulas, and all-orders proof.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-08
DOI
https://doi.org/10.5281/zenodo.23229160
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

All-Orders Formal Radial Closure via a Corrected Universal Cubic Jet Ladder

Kristijan Kozic
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

All-Orders Formal Radial Closure via a Corrected Universal Cubic Jet Ladder

Kristijan Kozic
preprint en

Abstract

This revised work establishes an all-orders formal radial closure construction within a specified cubic jet-ladder ansatz for a spatially covariant gravitational model. The revision introduces an additional cubic correction that completes the mass-three sector, derives the full lapse-variation formulas, and provides an explicit universal pivot and induction argument for all higher odd-mass sectors. The construction yields a formally unique sequence of correction coefficients within the prescribed ansatz, with controlled higher-order contributions. The supplementary material provides the algebraic derivations, filtration arguments, regression checks, and reproducibility calculations supporting the formal construction. The results concern formal asymptotic radial closure. They do not establish convergence of the infinite series, a finite-jet realization, global constraint closure, or a complete physical theory. This version supersedes the previous version by correcting and extending the mass-three completion, variational formulas, and all-orders proof.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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