Momin wrote:How we get the proportion of 20 times?
According to my Math:
if 5 mins = 1 hour
=> 5 mins = 60 mins in L1
Getting the unit number:
1 MInute in Reality = 60/12 = 12 minutes in L1
therefore:
1 hour in Reality = 60 * 12 (where 60 is 1 hour in reality)
= 720 minutes in L1
= 12 hours in L1
for L2:
= 720 * 12 ( its recursion process: where 720 is 12 hours in L1 inception)
= 937440 minutes
= 21 days
does it make sense?
Just watched this film...so you may have come to the same conclusion by now. Taking into account all the variables - here's what I think is the correct answer to the maths (yes maths I'm British), behind Inception.
Early on in the film, it's stated (when Ellen Page and Leonardo DiCaprio's characters come out of the interview-like dream) that five minutes in the real world represents approximately 1 hour or 60 minutes, in Level One dream-space time.
To get the unit number, as you put it i.e. of what 1 minute of reality represents in dream-space time level one, you divide 60 minutes (where 60 is the number of minutes in dream-space time) by 5 minutes (where 5 is the number of minutes that have elapsed in reality).
Meaning that 1 minute in reality (at this point in the film) represents 12 minutes. A factor of 12 for each level.
Later on in the film, however, it's stated that while using the enhanced sedative, at each level real-time would appear to slow by a factor of 20.
Meaning that 1 minute, in the real world represents 20 minutes of Level One dream-space time.
Every time a person goes deeper by another level, the factor is increased again by 20.
In other words on every level 20 minutes elapse, for every 1 minute that passes on the previous level.
Therefore at Level Two, 1 minute of reality = 20 or (the number of level one minutes elapsed for 1 minute of reality) x 20 (factor of increase) = 400 minutes or 6.666* hours
At level Three, 1 minute of reality = 400 or (the number of level two minutes elapsed for 1 minute of reality) x 20 = 8,000 minutes or 133.333* hours or 5.5* days
At Level Four, 1 minute of reality = 8,000 or (the number of level three minutes elapsed for 1 minute of reality) x 20 = 160,0000 minutes or 2,666.666* hours or 111 days
and so on....
However, the film did also state that, if a person dies while using the heavier sedative, they would become trapped in 'Limbo', (a non-constructed dream-space) where the rules could change dramatically ... possibly further increasing the difference between the amount of time elapsing in reality and dream-space time, by factor of decades or even infinitely.