Hi, I read the first chapter "Chains" system theory. I still don't see the difference between playing Martingale and trying to break the chains that you mentioned.
When you play Martingale, you for example start betting on RED, while the results of the spins are BLACK. You chance is the same on every spin. It's 48.6 % on a European roulette that you hit RED while it may happen quite easily that you won't hit RED for the 12-15 consecutive spins, you reach the table limit by doubling your bets, which will make you to lose your whole balance.
The Chains system theory isn't different. You just don't bet on RED in every spin, but you choose any pattern you want in your mind and then you try to bet against it, betting on the pattern break. The article says that the patterns length is limited, which is true. But it doesn't mean that the pattern can't be 15 spins long and you simply won't manage to break the pattern by betting against it during those spins.
Then once again, you reach the table limit by doubling your bets and eventually lose the whole balance. Betting according to the "Chains" system theory doesn't increase your chance for winning compared to playing Martingale. It's literally the same, but you just don't bet on the same colour in a row.
Automatic translation: