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April 28, 20260 citationsOpen Access

Cosmological Boundary Guidance and the Galactic Acceleration Scale

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DSDavid B Smith

Key Points

  • This research investigates the relationship between cosmological boundary conditions and the galactic acceleration scale.
  • Utilized a Maxwell-type one-form substrate to analyze background configurations
  • Employed Randers-type guidance geometry to explore geodesic-deviation
  • Documented candidate normalizations based on indicatrix-volume and transverse-stiffness arguments.
  • Identified a characteristic acceleration scale asub = cH0, aligning with MOND scale
  • Demonstrated that galactic acceleration is a geometric consequence of the guidance sector
  • Highlighted unresolved issues concerning microscopic potential depth and electromagnetic coupling.

Abstract

A Maxwell-type one-form substrate admits homogeneous background configurations whose boundary scale may be matched to the observed cosmological redshift scale. In a Randers-type guidance geometry, the same background enters the geodesic-deviation sector and produces a characteristic acceleration asub = cH0, numerically of the MOND scale. The result does not derive the boundary value b0, nor does it fix the microscopic potential depth Λ or electromagnetic coupling α. It shows instead that, conditional on a cosmological substrate boundary condition, the galactic acceleration scale is not an independent parameter but a geometric consequence of the guidance sector. Candidate normalizations based on indicatrix-volume and transverse-stiffness arguments are documented as open problems; the electromagnetic coupling sector is treated as an unresolved microscopic frontier.

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Cite This Study

David B Smith (2026) studied this question.

synapsesocial.com/papers/69f04e7d727298f751e72721https://doi.org/10.5281/zenodo.19779818
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