I’m interested in the exact relationship between relativistic speeds and time dilation. I’ve had a story in my head for years in which that relation is a major plot element, but I’ll never write it unless I can quantitate that relationship. And I’m a biochemist, so I learned to quantitate, never quantify...
Not a physicist either, but the “fudge factor” for mass is given by 1/sqrt(c^2 - v^2). As you can see, as v approaches c, that number goes toward infinity. I’d suppose the factor for time dilation is the same.