A minimal bi-scalar extension for decoupling morphology sourcing from metric response in the VFT programme

The Verarmungsfeldtheorie (VFT) programme has recently been shown to admit a struc- tural no-go for its single-eld, single-coupling dynamical subclass: one conformally coupled scalar eld with one universal coupling function cannot simultaneously sustain the galactic monopole response, an active morphology-sensitive non-monopolar source channel, and Solar- System consistency. The present paper does not contest this result. Instead, we identify a minimal post-no-go architecture that removes the specic bottleneck diagnosed by the no-go, while leaving the structural and empirical pillars of the programme intact. The construction introduces a second scalar eld σ that is sourced only by the monopole-nulled quasilocal source functional and does not couple directly to matter, while the original conformally coupled eld χ remains the unique metric-visible scalar entering the Jordan metric. The architecture preserves the no-slip property of the conformal backbone by construction and transfers the morphology-sensitive source burden out of the Solar-System screening chan- nel. We formulate three explicit structural consistency conditions of the extension a design condition on the covariant source functional, a mass-matrix stability condition, and a Solar-System mixing bound and identify a generic phenomenological consequence: the metric-visible weak-eld response acquires a two-range Yukawa eigenmode structure whose compatibility with the SPARC baseline becomes a direct empirical test. The paper does not claim closure of the VFT programme; it provides the rst constructive step beyond the audit phase that produced the single-eld no-go.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-16
DOI
https://doi.org/10.5281/zenodo.19612401
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

A minimal bi-scalar extension for decoupling morphology sourcing from metric response in the VFT programme

Jan-Frederik Flügge
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

A minimal bi-scalar extension for decoupling morphology sourcing from metric response in the VFT programme

Jan-Frederik Flügge
article en

Abstract

The Verarmungsfeldtheorie (VFT) programme has recently been shown to admit a struc- tural no-go for its single-eld, single-coupling dynamical subclass: one conformally coupled scalar eld with one universal coupling function cannot simultaneously sustain the galactic monopole response, an active morphology-sensitive non-monopolar source channel, and Solar- System consistency. The present paper does not contest this result. Instead, we identify a minimal post-no-go architecture that removes the specic bottleneck diagnosed by the no-go, while leaving the structural and empirical pillars of the programme intact. The construction introduces a second scalar eld σ that is sourced only by the monopole-nulled quasilocal source functional and does not couple directly to matter, while the original conformally coupled eld χ remains the unique metric-visible scalar entering the Jordan metric. The architecture preserves the no-slip property of the conformal backbone by construction and transfers the morphology-sensitive source burden out of the Solar-System screening chan- nel. We formulate three explicit structural consistency conditions of the extension a design condition on the covariant source functional, a mass-matrix stability condition, and a Solar-System mixing bound and identify a generic phenomenological consequence: the metric-visible weak-eld response acquires a two-range Yukawa eigenmode structure whose compatibility with the SPARC baseline becomes a direct empirical test. The paper does not claim closure of the VFT programme; it provides the rst constructive step beyond the audit phase that produced the single-eld no-go.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 10%
Cosmology and Gravitation Theories
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A minimal bi-scalar extension for decoupling morphology sourcing from metric response in the VFT programme — Jan-Frederik Flügge · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS