From the above, it sounds like you might not have "Always wait at end of turn" checked in your preferences. Checking that box will ensure that you stop at the end of every turn & might make testing this easier.. . . . The dates show the turns where ı was able to make a move , ı mean the computer does a lot of things , ı soon as ı am called to make a choice of sciences ı take notice of the year . . . .
Again, I'm guessing that this is a result of not having "Always wait" checked. By checking that box, you can see how many turns remain on each and every turn. If your SGA is indeed broken, and I think it is, you'll see several turns repeat the time remaining, such as "1380 AD, 8 turns remaining," and then "1385, 8 turns remaining." It looks to me like that's exactly what you've gotten, though.. . . .
1295 Music theory chosen 4 turns remaining leader used before music theory
1315 Printing 4 turns remaining
1335 Economics 6 turns
1360 or 65 Navigation 6 turns
1390 Democracy 7 turns
1395 Democracy 7 turns (again) confuses me as well
1400 Democracy 8 turns science advisor tells the age is over
*****
1295 Music theory 5 turns no leader
1300 think it was in this turn the end of previous age was announced
1315 Printing 5 turns
ı thought of giving up as it is the same with the one above .
1340 Economics 8 turns
1380 Navigation 8 turns
1400 Navigation 5 turns
1420 Democracy 9 turns
If you want to test it further, I'd suggest, "controlling for other variables," as Spoonwood calls it. Scrap any and all builds & put everyone on wealth. Libraries & unis will affect beakers, and any other buildings or troops will affect the treasury, and could affect science spending. Go through your cities and zero out growth, so that your cities neither grow nor shrink during the SGA. Abandon that city that flips (it flipped during my test, too). Cut lux spending to the barest needed to avoid riots. I don't recall if I had any WLTKDs during my test, but that could affect beakers, as well.
I think you'll find that your SGA, like everyone else's, is broken. If not, and you find that the blasted things works for you, enjoy it!
I haven't seen anyone here call you dishonest. It just doesn't seem like you've seen the things that have been pointed out, namely, the fact that the number of turns remaining repeats itself. In my test, I had at least 3 turns where the number did repeat, and that was allowing for the possibility that the culture flip actually did add a turn to the time remaining on Physics.. . . . as ı previously said it is not binding in anyway . It is only natural that ı would have the numbers , any numbers in case of dishonesty . Internet is full of false evidence and there are many who are chest thumping with falsities to boost their self esteem .
His saves are here. If you're interested, I tested his saves once and my initial post on that was here.. . . . Also, we'd really like to see saves. Saves for each turn of the scientific golden age would really work best. If you're right r16, then it would appear that the number of turns left on a tech in an SGA IS BROKEN, but the actual number of turns for techs in an SGA is not. This has not gotten established though.