Your problem stems from the fact that, despite your pretenses, you
don't understand anything about the Hamilton-Lagrange formalism.

1. First you have H=T+V and L=T-V, where V means potential energy and
T means kinetic energy.
Obvuoisly, FOR THE PARTICULAR CONDITION V=0 you get H=L. For THIS
particular condition, Juan Alvarez Gonzalez, old fart.

2. On the other hand, H is defined as pv-L, where v=SPEED.
FOR THE DIFFERENT CONDITION v=0, H(0)=-L(0). The reason for the "(0)"
is that both the Lagrangian and the Hamiltonian are functions of "v".
So, if you make v=0......

The "H" at point 1 is UNRELATED to the H(0) ate point 2, IMBECILE.
During the 6 months you have posted your garbage you didn't figure
this out, dumbshit?

If you want to learn about the Hamilton formalism, you can read more
here: