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As the tittle says this is the distance between Soul Society and the Soul King's Dimension. (I don't know if this would help anyone.)
Have in mind that we don't know the exact size of Soul Society which is the Realm in which the Seireiti is located.
Now let's see how much Ichigo took to get from the royal palace to seireitei and that's simple, (Open scan 1)
The Quincy Invasion and replacement of the seireitei takeover started at 5 pm the first day, Ichigo went down from the royal palace after 3 hours at 8pm. (Open, Image 2)
Ichigo arrived at 5:15pm the next day, (Open Image 3)
That's 9 hours and 15 minutes = 33,300 seconds.
Calculating the shortest distance and the lowest speed possible, Kirinji said it takes 7 days with ichigo's normal shunpo to reach seireitei from the soul palace, Open, Kirinji statement>
Let's use base Mach 29. Since it's a fall, the speed ichigo will be going at will be free fall + his normal shunpo but since his normal shunpu is unknown, i'll use Mach 29 + 55 m/s for a human body.
(Mach 29) + (55 (m/s))= 9 923.7 m/s
9 923.7 (m/s) x 7 (days) x 24(hours) x 3600 (seconds per hour) = 6001853760 M
That's distance a Shinigami with Mach 29 will need to cross in order to arrived at the Seireitei from the Soul King's Palace.
6001853760 Miles = 9659047337.5334 Km
0r we can use this method which is the same:
9 923.7 (m/s) x 604800 seconds (7 Days) = 6001853760 M = 9659047337.5334 Km
If we use this we get the number between hours:
9 923.7 (m/s) x 3600 = 35725320M = 57494329.3901 Km
Have in mind that we don't know the exact size of Soul Society which is the Realm in which the Seireiti is located.
Now let's see how much Ichigo took to get from the royal palace to seireitei and that's simple, (Open scan 1)
The Quincy Invasion and replacement of the seireitei takeover started at 5 pm the first day, Ichigo went down from the royal palace after 3 hours at 8pm. (Open, Image 2)
Ichigo arrived at 5:15pm the next day, (Open Image 3)
That's 9 hours and 15 minutes = 33,300 seconds.
Calculating the shortest distance and the lowest speed possible, Kirinji said it takes 7 days with ichigo's normal shunpo to reach seireitei from the soul palace, Open, Kirinji statement>
Let's use base Mach 29. Since it's a fall, the speed ichigo will be going at will be free fall + his normal shunpo but since his normal shunpu is unknown, i'll use Mach 29 + 55 m/s for a human body.
(Mach 29) + (55 (m/s))= 9 923.7 m/s
9 923.7 (m/s) x 7 (days) x 24(hours) x 3600 (seconds per hour) = 6001853760 M
That's distance a Shinigami with Mach 29 will need to cross in order to arrived at the Seireitei from the Soul King's Palace.
6001853760 Miles = 9659047337.5334 Km
0r we can use this method which is the same:
9 923.7 (m/s) x 604800 seconds (7 Days) = 6001853760 M = 9659047337.5334 Km
If we use this we get the number between hours:
9 923.7 (m/s) x 3600 = 35725320M = 57494329.3901 Km