For talented math and physics people:

I was wondering. Is it mathematically (or with physics) possible to compare the power of players like Borg, Becker, Lendl or even Sampras with that of players of today?

For example. Could one measure the swing speed of the hand of lets say Borg and work out how powerful his shots would have been if he used MODERN rackets? (Assuming he and everyone hits the sweet spot).

Someone like Roscoe Tanner. How would his serve have been with modern rackets?

Let's rather focus on some theoretical "worked out" guestamites/answers and not just guessing without theory please. Comments of people with background in the field will be appreciated.

It is technically possible, but the results may not be too meaningful, because of all the adjustments we would have to do.

Say you came up with this experiment:

Take a stratified random sample of Borg's serves, backhands, and forehands, and a stratified random sample of let us say Federer's serves, backhands, and forehands.

We have to first determine the variables that would change, which would be primarily the balls, strings, and rackets. Adjusting for the difference in mass or material of the ball would not be terribly difficult as long as we knew how fast Borg's arm was accelerating. Given this, we should be able to, given the random sample, calculate how much faster/slower Borg's serve/forehand/backhand would be with modern tennis balls.

The next two factors are the most difficult: rackets and strings.

**The type of racket directly affects how fast the player is able to swing**. Unfortunately, we have somewhat(not really) of a confounding variable here. Now, let us say we ignored this flaw and kept going. Given the acceleration of Borg's arm, we could set up an experiment with a robot or a person who accelerates the same.

Then we could transform the sampling distribution by adding or multiplying by a scalar.

**The confounding variable here is the issue though. **
I am actually more of a mathematician than a physicist, so if a physicist could confirm this, that would be nice. Also, it would help to have a real statistician here because I might have butchered some of the statistical terms.

**Edit: technically the balls and strings would also be confounding variables, that would affect how fast Borg is able to swing.**