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This research aims to explore a K-essence scalar field theory to explain dark sector dynamics and its implications on galactic motion.

March 16, 20260 citationsOpen Access

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K-Essence Scalar Field Theory of Galactic Dynamics with a Fibonacci Mass Spectrum from Unitarity

GSGabriel SteigerUniversidade Tecnológica Federal do Paraná

Key Points

This research aims to explore a K-essence scalar field theory to explain dark sector dynamics and its implications on galactic motion.
Developed a scalar field theory with zero adjustable parameters.
Derived a Fibonacci mass spectrum based on S-matrix unitarity.
Tested predictions against 171 SPARC galaxies using Wilcoxon signed-rank analysis.
Predicted MOND acceleration scale a₀ matches observational data with 104 out of 171 successes.
Outperformed the empirical MOND value with significant statistical support (p = 2.35 × 10⁻⁶).
Identified eight independent falsification criteria for further validation of the theory.

Abstract

A K-essence scalar field theory of the dark sector with zero continuously adjustable free parameters. The Fibonacci mass spectrum emerges from S-matrix unitarity as the unique long-lived additive spectrum, predicting the MOND acceleration scale a₀ = cH₀/ (2π), the gravitational coupling αS = 1/φ, and the Compton wavelength λ = 182 kpc. Tested against 171 SPARC galaxies, the predicted acceleration scale outperforms the empirically calibrated MOND value (104/171 wins, p = 2. 35 × 10⁻⁶, Wilcoxon signed-rank). Eight independent falsification criteria are stated. Analysis code: https: //github. com/wavarr/uct-paper

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K-Essence Scalar Field Theory of Galactic Dynamics with a Fibonacci Mass Spectrum from Unitarity

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Abstract

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