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April 18, 20260 citationsOpen Access

A quasilocal multipole-projected source functional for the non-monopolar response sector of the VFT programme

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JFJan-Frederik Flügge

Key Points

  • The aim is to bridge the existing gap in modeling the morphology-sensitive source sector of the VFT programme.
  • Definition of the quasilocal multipole-projected source functional QΣ[ρ]
  • Constraint of the functional's kernel and establishment of its structural properties
  • Demonstration of activation logic using both controlled and real-geometry toy models
  • Derivation of next-to-leading-order coupling-gradient coefficient from the screening profile
  • Independent analysis using SPARC data to evaluate the quadrupolar accumulation law
  • Demonstrated that the non-monopolar sector is parametrically suppressed for nearly spherical astronomical structures like the Sun
  • Empirical analysis supports a Yukawa-weighted quadrupolar radial accumulation law consistent with model predictions

Abstract

The Vacuum Field Theory (VFT) programme replaces dark-matter halos by a baryonically sourced conformal scalar response. A central open problem is the status of the morphology- sensitive source sector: in its current operational form the corresponding response channel is represented by real-space projector constructions that subtract the spherical component of the baryonic source and retain only the aspherical residual. This paper introduces a quasilocal multipole-projected source functional QΣρ that provides the missing bridge between the op- erational Weg-3 construction and the programme-level higher-order response sector. We dene the functional, constrain its kernel, establish its structural properties, demonstrate its acti- vation logic on controlled and genuine-geometry toy models, derive the next-to-leading-order coupling-gradient coecient from the screening prole, and verify that the non-monopolar sector is parametrically suppressed for the nearly spherical Sun. An independent empirical bridge analysis on SPARC data further supports a broad, Yukawa-weighted, quadrupolar ra- dial accumulation law, consistent with the structure predicted by the quasilocal construction.

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Cite This Study

Jan-Frederik Flügge (2026) studied this question.

synapsesocial.com/papers/69e320af40886becb653fc74https://doi.org/10.5281/zenodo.19603108
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