Betz limit and power available in the wind

So Betz assumptions are valid as long as the wind speed at turbine level is no less than half of undisturbed wind speed, and since the maximum Cp is reached at 2/3 (a = 1/3), nobody cared about the a > 0.5 zone because negative wind values are possible only in turbulent regime and that means even more energy lost than predicted mathematically for laminar regime a > 0.5

I think that where the Brazilian paper fail is by labeling regime above 0.5 as “impossible” and ignore it instead of simpler non-solution - Betz assumptions do not apply there therefore we cannot make meaningful conclusions about that regime applying the same maths Betz used for static wind turbines.