And that's precisely how Social Security operates, and precisely why it will run into problems.
I definitely agree that Social Security is going to go through growing pains as the population demographics change and benefits won't be the exact same as the previous generation, but I feel like people use the term "ponzi scheme" to smear the whole idea of Social Security rather than articulating why we shouldn't have it.
WRT "growth in assets": they send out letters to all enrollees stating the amount of money that each has coming to them. and the number is higher than the amount the enrollee has paid in (to reflect the interest that "will accumulate").
WRT "paying out dividends": the system is paying out dividends, obviously. I know some of the people getting checks. Not sure what you meant by this.
I think it's a bit misleading to call Social Security a ponzi scheme -- mostly because it implies a ringleader, which I observe to be a dangerously appealing falsehood to many -- but your observations seem to be false.
either way, people have the right to the results of their own work and this scheme violates that right.
The real problem people are complaining about is the burden that was shared by many (by having lots of kids) is going to be shared by fewer and fewer people.