Verse and Dimensions Wikia
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Verse and Dimensions Wikia

Although the  Kardashev scale only goes up to level 3 on any officially recognized scale it is possible for civilizations beyond level 3 to exist  in fact it is highly likely that they exist but a level 5 doesn't in our universe as it is far too young for that too happen.  I will use the commonly accepted time frames for each level of the scale then predict when a type 4 might happen based on those time frames.

Type 1 = 100 years ( unless Humanity stops global warming in less time that it is expected we will)

Type 2 = 1000 - 10,000 years ( more likely 1000 years considering how fast technology is likely to advance after type 1 is fully achieved)

Type 3 = 100,000 - 1000,000  years ( might be less than 100,000 years but probably around 100,000 years)

Type 4 = 100,000,000 - 1000, 000 000 years.

Although the Kardashev scale is good it isn't 4th dimensional so it can't give accurate time scales meaning that it is likely that a type 1 could be achieved slightly before 100 years.

Anyway a type 4 civilization is a civilization that can control the energy of their entire universe , considering a universe could be infinity in scale the capabilities of a type 4 civilization would be considered mystical to civilizations on scales below it.

The scale of the structures that a type 4 civilization can work on is called Cosmoscale tech meaning that they could build structures large enough to encompass an entire universe.

The leap from type 4 to type 5 is very quick as the capabilities of a type 4 quickly make them multiuniversal.

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