As you might have guessed, my examples only came from me and not real spins.
My point: Over Time greater Balance might be seen in PERCENTAGE - as the actual difference grow bigger. Maybe this is basic statistical knowledge.
With a touch of irony I mentioned The Age of Enlightenment. You know, d´Alembert played a role then. We have come a long way since and even overcome a question of Balance from the psykadelic era (impressive album cover, by the way, showing Einstein in the Universe). Your ideas of Balance may be better, and you may know Laws, theories and Words that I don´t.
Does your knowledge of "Balance"
result in profit in the real World?
If this question was meant for me , Dane then I can accept that "balance" will result " In The Long Term ". As you say, it is the percentage that comes closer to "balance" while the actual differences may grow. As a matter of logic , though, there must be a limit to that "actual difference" or else the percentage itself must also grow .
In roulette , over a million spins there will be a difference but that difference can be either way and not just in the casino's favour whatever the math geeks say. Because of variance.
If balance will occur then it becomes a question of " when "? I think that s a question that no one can answer so those who advocate " balance" are fiddling in the dark. AS WE ALL ARE ! Maths geeks, AP. Method players -whatever.
Short Term there is a greater imbalance than in the Long Term so the Short Term is where our focus should be. Forget about what MIGHT happen after we are dead .Or in the next few spins or sessions.
The Long Term is where maths geeks live while gamblers live in the real world.
As to your question can I profit in the real world without using a progression ? Yes. In my view progressions are useful in enhancing the profit of an already Break - Even or Profitable strategy but not by themselves. Progressions after a loss ARE a form of "Chasing Your Losses " so must be used with caution.
What Newcomers ( newbies ) need to understand is that roulette is a form of gambling and so , in essence, everyone involved in gambling is just guessing - despite the claims of some that they have found The Holy Grail .