Galactic Energy Transfer Theory (GETT): The Effect of Energy Transfer Between HI Gas and Dark Matter on Galaxy Rotation Dynamics

Description: This record contains Version 2 of the research paper presenting an empirical verification of the Galactic Energy Transfer Theory (GETT). Expanding significantly upon preliminary small-sample formulations, this version provides a robust statistical and kinematic analysis utilizing neutral hydrogen (HI) survey data from the Arecibo Legacy Fast ALFA (ALFALFA) catalog across an expanded sample of 100 diverse galaxies. Key Contributions of Version 2: Expanded Empirical Sample: Evaluates 100 individual galaxies encompassing a wide morphological spectrum,ranging from massive spirals to low-surface-brightness (LSB) and dwarf galaxies. Energy Transfer Index (ETI): Evaluates the ETI parameter, defined as ETI=log⁡10(MHI/M⊙)/vrotETI=log10(MHI/M⊙)/vrot, to parameterize the energetic coupling between neutral gas reservoirs and galactic rotation fields. Physical Derivation & Braking Mechanism: Details the microphysical energy exchange and kinematic braking mechanisms where expanded gaseous envelopes act as a dynamic brake in high-ETI regimes, contrasted with dark-matter-dominated low-ETI systems (such as the Milky Way). Universal Inverse Relationship: Demonstrates an unbroken, universal inverse correlation between ETI and rotation velocity (vrotvrot) across all 100 systems without structural exception. Data Availability: Observational neutral hydrogen line parameters and profile widths (w50w50) were extracted directly from the ALFALFA 21 cm survey catalog (Cornell University).