What happens with a cycle after it has stopped?
 
A cycle cannot stop, it goes on. The a.m. cycle ends at noon, but why couldn't it continue with its next turn, beginning at early morning next day?
 
We perceive a gap from noon to early morning next day. This gap is filled by other cycles, first the p.m. cycle and then by the double-cycle of night (before and after midnight).

When the rays of spring sun end at midsummer it is because they are needed on the other side of the equator. The cycle of spring sun does not stop, it just moves to another place. Instead of the spring sun cycle another cycle enters our stage, the Maya saw it as the season of rain:

 

5 Tzek 6 Xul 7 Yaxkin 8 Mol
9 Ch'en 10 Yax 11 Sac 12 Ceh
200
13 Mac 14 Kankin 15 Moan
16 Pax 17 Kayab 18 Cumhu 19 Vayeb
1 Pop 2 Uo 3 Zip 4 Zotz
 
The common sign in the months covering the season from day 180 to 240 (redmarked above) is a triangular pattern (3 + 2 + 1 = 6) which probably indicates rain clouds hanging above.
 
Sun has changed garment from his red spring hide to his raincoat. Fire and rain are complementary, as Ogotemmêli said.
 
In the daytime calendar of Q we should not read the end at noon 'literally', it is an allusion to midsummer, a play with glyphs.