>Could you explain where is multiplication in cases below?
There's some confusion in this question. A log normal distribution is proof enough that multiplication exists.
3 and 7 are trivial because there are clear compounding effects - they are most obvious in finance. 5 is easy too, more rainfall means more water evaporates, it's a simple multiplicative cycle. 1 because larger response is more likely to generate more larger responses.
There's no causal relation between multiple factors in block propagation. It snows and latency to starlink rises. There's congestion somewhere because a new tv series is being massively downloaded. A node has random clock skew of 1 s. These are all additive.
> There's some confusion in this question. A log normal distribution is proof enough that multiplication exists.
Ha-ha. Maybe it's a good reason to forge the evidence. However, it doesn't mean you can't forge an additive law here!
In 3 you can add value of house to the value of car instead of "multiplying" them. In 7 you can add values "cent by cent". "Multiplicative cycle" in 5 is a real conspiracy theory. Is there the same thing for "cow's milk"? Could you increase milk yield with the same "multiplicative cycle"?
According to this logic bank interests for credits with "simple interest" should have a normal distribution and those with "compound interest" should have a log-normal one!
I can give you more simple criteria for all cases above:
1) "The length of comments" can't be negative
2) "Users' dwell time" can't be negative
3) income can't be negative
4) cow's don't suck milk from farmers
5) Law of Gravity works for rainfalls
6) Size rainfall droplets can't be negative
7) Payer is the one who pays
8) "Latency" and "delay" for nodes can't be negative too. It's very likely that it has a log-normal distribution as many other sort of delay.
I assume you agree with my argument. It's reasonable to assume that block delay in PoW network has log-normal distribution too. Let's see what will happen if we add delay due to the block mining. If there is a Poisson point process, then time delay between two arrivals in it has exponential distribution. Then if we add to random variables, one with log-normal distribution and one with exponential distribution, then we will get a random variable with log-normal distribution. So in the case of PoW we have the same type of probability distribution as in PoS! So there is no any problem here. Your original argument is invalid.
There's some confusion in this question. A log normal distribution is proof enough that multiplication exists.
3 and 7 are trivial because there are clear compounding effects - they are most obvious in finance. 5 is easy too, more rainfall means more water evaporates, it's a simple multiplicative cycle. 1 because larger response is more likely to generate more larger responses.
There's no causal relation between multiple factors in block propagation. It snows and latency to starlink rises. There's congestion somewhere because a new tv series is being massively downloaded. A node has random clock skew of 1 s. These are all additive.