Absolute Dog in Eternal
Beyond Absolute Infinity is the first number after Absolute Infinity that is not a trivial extension of it in 0toATE.
Specifically it does not involve the expression Absolute Infinity at all. The Entries that proceed it, beginning with Absolute Infinity are:
Ω, Ω+1, Ω+2, Ω+3, Ω X 2, Ω X 3, Ω X 4, ΩxΩ, Ω^Ω, Ω^Ω^Ω^Ω^Ω^Ω, Ω^^100, 10{Ω}10, Ω^^^10, Ω{{{{{{{{{{10}}}}}}}}}}Ω, Ω{{{{{{{{{{Ω}}}}}}}}}}Ω!!!!! {Ω,Ω,Ω,Ω}!!!
This implies that BEYOND ABSOLUTE INFINITY is not anything we could express with Ω combined with any googological notation.
In the Cardinal-view, all the above expressions could be said to be equal to exactly Absolute Infinity. Therefore the most reasonable interpretation of BEYOND ABSOLUTE INFINITY is that it would be the first Cardinal Number, or Initial Ordinal, after Absolute Infinity. One interpretation of this is that it is equal to Ω1 (Absolute One Infinity) as seen in the later Mathis Video 0toNEVER.
One further interpretation possible is that BEYOND ABSOLUTE INFINITY is not actually a number at all but a "Title card" intended to separate the former from the latter, implication being, none the "ordinal-like" extensions are actually beyond Absolute Infinity. This interpretation is contradicted however by the fact that when Absolute Infinity does show up, the description reads something to the effect of "You are Going beyond Absolute Infinity", which means all the ordinal-like extensions are intended to be actually larger.
There is no official ruling regarding the precise meaning of this entry in the 0toATE video.
BEYOND ABSOLUTE INFINITY has a definitional Index of 1, since it's only definition is that it is larger than Absolute Infinity (implied by occurring later in the video). It is succeeded by NO!'s Transfinity.