Aside from the fact that the Laffer curve has never been proven accurate in the U.S. based on actual empirical data, it can be proven trivially false, because it implies the closer your tax rate gets to 0 the more tax receipts you will have. So you’re gonna get far more tax receipts at a 0.0001% interest rate than at a 10% interest rate, which would require a GDP at 0.0001% which would be beyond any actual possibility.
It's a bound, non-negative function on [0,1], equal 0 at 0 and 1 and having non-zero values at least in some points on (0,1). You are saying it's never been proven that such a function will have a maximum value somewhere in (0,1) in the US? Your proof of the opposite, unfortunately, does not seem right.
Eh? My understanding wasn't that the tax receipts increase as you get closer to a tax rate of zero. Wasn't the point that maximum receipts happen somewhere in the middle, but obviously tax receipts are 0 when the rate is at 0% or 100% (and closer to 0 when near the extremes)?