I've taken apart a few post-war West German 50mm Sonnars, and "mentally noted" that there were design changes made to the fixtures and barrels. True of the 50mm F1.5 and 50mm F2. I also remember that there was not a clean break based on Serial number. With
@Räuber mentioning that there was a change to the optical formula of the 50mm f1.5, I dug out my parts lenses for direct comparison.
The earlier design uses separate fixtures for the front element, middle triplet, and rear triplet: reminds me of the CZJ 5cm F2 pre-war version, where the front element and middle triplet are stamped in brass fixtures. The post-war fixtures use retaining rings, that are cemented in place. I had to cut through the retaining ring on the front fixture to get the very-bad glass out.
The later version has a fixture where the middle triplet and front element fit in, and are held in by retaining rings- more like a Jupiter-8.
I did a quick test for the radius of the glass. A 1953 KMZ front element fit perfectly into the earlier fixture. This element is interchangeable with the v4 Sonnar. It was slightly too small for the later fixture. The back of the middle triplet of the earlier lens has a smaller diameter than the later lens. As I get more time, will do some more measurements. BUT: I believe the optical formula changed with the later Sonnar, and the barrel design changed for the new optical design.
Two of the earlier fixtures for the middle triplet: design changed for those as well.
The Namering has been changed, note the thickness.
Why? With the Japanese producing the Nikkor-SC 5cm F1.5 and F1.4, Carl Zeiss Jena producing the 5cm F1.5, and USSR producing the Jupiter-3: I believe Carl Zeiss wanted to up their game. I've seen this in performance of various West-German Sonnar 50/1.5's when using them: some are "just better". Sadly: the cement used in them does not hold up as well as the earlier versions.

And the cement on the later version, left, has failed.
Say it in Pictures!