Alexander

 There is no direct evidence that Alexander the Great spread Greece's gym or fitness culture as he expanded his empire. However, there are some indirect pieces of evidence that suggest that he may have had an impact on physical fitness in the regions he conquered.

Firstly, it is well documented that physical fitness was highly valued in ancient Greek society, and it was common for young men to train in the gymnasium, where they would engage in activities like running, wrestling, and discus throwing. Alexander himself was known to be physically fit and strong, and he was reportedly an excellent wrestler and runner.

Secondly, Alexander's conquests brought Greek culture and ideas to the regions he conquered, including ideas about physical fitness. The gymnasium was an important part of Greek culture, and it is possible that the idea of the gymnasium and its associated activities were introduced to the conquered regions. For example, it is known that Alexander founded several cities in the regions he conquered, and these cities often included a gymnasium as part of their layout.

Finally, it is worth noting that physical fitness and athleticism were highly valued in many of the cultures that Alexander conquered, such as the Persians and the Indians. It is possible that Alexander's presence and his own emphasis on physical fitness may have had an influence on these cultures and helped to reinforce the importance of physical fitness and athleticism.

Overall, while there is no direct evidence that Alexander spread Greece's gym or fitness culture, there are several factors that suggest that he may have had an impact on physical fitness in the regions he conquered.