The Light Matter Proposal: The Effect of Fusion on the Velocity Profile of a Disk Galaxy

The velocity profile of a disk galaxy rises to a maximum circular velocity and stays there. Newtonian theory predicts that after the peak is reached, the velocity must decrease with distance. Modification Of Newtonian Dynamics (MOND) and dark matter are efforts to match a theory with observation. \[ \]Galaxies emit light. The light is generated through fusion. Fusion converts mass into light. This continual decrease in mass is not accounted for in standard velocity profile models. Assume a strict link between the exponentially decreasing luminosity curve and the rate of fusion. Derive the following equation for the circular velocity as a function of distance: \[V_c = -\frac{1}{2} \left(\gamma c \frac{r}{r_d} \pm \sqrt{ \left(\gamma c \frac{r}{r_d} \right)^2 + 4 r \frac{d \Phi}{d r}} \right) \] The potential for a disk galaxy can be expressed with modified Bessel functions. The gamma is a coupling factor. Gamma may represent what fraction of energy leaves the galaxy over the energy required to maintain the star's energetic state. An approximation of that ratio is the surface temperature of a star over its core temperature, a ratio of $10^{-4}$. With that gamma, the velocity profile rises to a peak and stays elevated. Death to dark matter, long live light matter!