What is the longest time (theoretically) someone can solve for in 1 sitting

It depends how fast you cube. But if you eat and drink while cubing and somehow make a toilet in a chair and you somehow don't get bored. For this example We'll say you average 20 seconds, you scramble for 10 seconds, and you inspect for 7 seconds. Let's also say every day all your times decrease by 1%(fatigue). Let's also finally say every hour you take a minute break for the eating and drinking. And you don't sleep for 11 days(WR).
MATH TIME!!!!!
20+10+7=37
1 day is 86400 seconds
24x60=1440
86400-1440=84960
84960/37=2296.216216
2296.216216 for day 1
1% of 20 = 0.2
1% of 10 = 0.1
1% of 7 = 0.07
20 + 0.2 = 20.2
10 + 0.1 = 10.1
7 + 0.07 = 7.07
20.2 + 10.1 + 7.07 = 37.37
86400-1440=84960
84960/37.37=2273.48140219
2273.48140219 for day 2
1% of 37.37 = 0.3737
37.37 + 0.3737 = 37.7437
86400-1440=84960
84960/37.7437=2250.97168534
2250.97168534 for day 3
1% of 37.7437 = 0.377437
37.7437 + 0.377437 = 38.121137
86400-1440=84960
84960/38.121137=2228.68483697
2228.68483697 for day 4
1% of 38.121137 = 0.38121137
38.121137 + 0.38121137 = 38.50234837
86400-1440=84960
84960/38.50234837=2206.61865047
2206.61865047 for day 5
38.50234837 + (1% of 38.50234837) = 38.8873718537
86400-1440=84960
84960/38.8873718537=2184.77094106
2184.77094106 for day 6
38.8873718537 + (1% of 38.8873718537) = 39.2762455722
86400-1440=84960
84960/39.2762455722=2163.1395456
2163.1395456 for day 7
this is becoming a chore so im just going to get all the solves for the day without showing any of the work.
2141.72232238 for day 8
2120.51715087 for day 9
2099.52193155 for day 10
2078.7345857 for day 11

You (hopefully)don't die but you finally fall asleep.
Realistically, you'd probably forget how to solve a rubiks cube, but this is already too much math.
anyway
Let's add all the numbers(this'll be a doozy)
2296.216216+2273.48140219+2250.97168534+2228.68483697+2206.61865047+2184.77094106+2163.1395456+2141.72232238+2120.51715087+2099.52193155+2078.7345857=24044.37926813
Finally, we round that and we get...
(drumroll)

24044
There are a LOT more factors to acknowledge but this is an EXTREMELY rough estimate.
My guess is around 10k-15k before your wrist falls asleep or you forget how to solve a rubiks cube or your heart just stops or you fall asleep.
I'm not sure. But I think it's mildly accurate.
Edit: I'm not tryna be a showoff. I just wanted to find out approximately. So don't think this is me tryna show off my algebra or whatever. And don't reply to this to say "WeLl AcTuAlLy, I aVeRaGe 10 SeCoNdS"
this was way better then my post
 
ok so we have a very low move count method, unlimited energy drinks (your grandmother was a rich celebrity and passed down the 1.7B down to your parents) you have someone who brings food which you can eat quickly in between solves, and you will move slower when your tired, now you live 80 years and you have started at 6, hence 74 years, in 1 hour you solve lets say 60 times, one per minute, so 24 x 60 is 1440, and 1440 x 365 is 525600, now 525600 x 74 is 38894400, so 38894400 solves, also if you slowly get better and dont like stay at 60 per hour it could be higher, (this was not mean't to be realistic and was full of assumptions)
I know you said it's not suppsed to be accurate but what about muscle fatigue?
 
I think we should stop here.

But in actuality, for me who averages 23, takes 7 seconds to inspect and 13 seconds to scramble, that equates to 43 seconds, and divide 3600 (the number of seconds in an hour) to 43, you get 83.7209 solves, and factoring in any potential mistakes or breathers you need I'll dial it down to 78 solves, doing some quick subtraction you get 5.7209 solves worth of flexibility that equates to about 246 seconds or 4 minutes and 6 seconds for breaks, and after thirteen hours, factoring in 90 minutes of breaks for eating and bathroom, giving you 11.5 hours, and multiplying 78*11.5, you get 897 solves, and factoring in variation, you get somewhere between 880 and 920 solves for a thirteen hour 3x3 session straight.
 
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