I assume you mean “Sufficient”? I guess they’re similar in meaning and maybe it’s a translation thing, but just so you know, I believe the English convention is to use the term “Sufficient”. This is probably why obsrvr524 didn’t know what you meant.
By definition no, since a line represents 1d space.
I assume this is your basis for the concept in your next post:
But the distinction between a line and volume is irrelevant to the infinitude of either, because the information contained along an infinite line can also be represented in 3 dimensions.
Your argument would appear to be that the form of the representation of infinity affects the “quantity” of the infinity, for which you’re using the term “depth” - but comparing depths implies comparing quantities.
They’re both representations of that which has no bound and therefore can’t be defined. As I’ve been explaining to obsrvr and as you probably already know, finitude is the derivational root of the terms “finite” and “define”, meaning bounded. You can define finites, and you can represent the tendency towards the infinite through constructions that specify finites (infinite series), but strictly logically that’s the closest you can get to “defining” infinites such that you can compare them. But one definition of a divergent series that tends to infinity has no bound just the same as a definition of a different divergent series - there’s no final bound either way to compare the final result. All you can compare is the construction that uses finites. As such you can manipulate and perform arithmetic on the constructions because they use finites, but the final result is undefined whatever construction you use to represent a divergent series.
The difference in “depth” is in the representation, not in the result.
Even though this escapes obsrvr, perhaps you understand this?
As I explained to obsrvr, it doesn’t have an echo, nor does it need an echo.
Entropy is non-linear, as demonstrated by the equation for change in entropy: ΔS = ∫₀∞ δQ/T.
The higher the δQ (difference in energy), the higher the ΔS (change in entropy) - a proportional relationship - and as spacetime uncurves and the constant energy of the system spreads out, there’s overall less and less differences between points of higher and lower energy, meaning there’s less and less change in entropy. In short, the rate of entropy increase slows down: therefore it’s not linear.
But the equation also shows that the higher the temperatures involved, the lower the change in entropy (they are inversely proportional, hence the T being on the denominator). So areas of high temperature gain entropy slower - which might give the impression of entropy being constant, or even resetting itself (echoing back on itself) when the temperatures are really high - such as in stars and black holes. But overall the entropy still increases, just slower (again, not linear).