Until now, people thought that processors were limited by quantum mechanics to the nanoscale; even quantum processors operate at the nanoscale. Clearly, quantum computers are a breakthrough, but there's a more advanced breakthrough: temporal processors. They're built not on static or dynamic data, nor on probabilities, but on temporal events.
Latex formula of Taylon Lagrangian
$L=\frac{i\hslash }{2}({\psi }^{\ast }{\partial }_t\psi -\psi {\partial }_t{\psi }^{\ast })-{\psi }^{\ast }{\hat{H}}_0\psi -\frac{g}{2}|\psi {|}^4-{\lambda }_{\phi }{\psi }^{\ast }\left({\hat{O}}_{\phi }\right[\nabla \left]\right)\psi -{\gamma }_S{\Phi }_S\left[|\psi {|}^2\right]+{\psi }^{\ast }{F}_{Floquet}\left(t\right)\psi +i{\psi }^{\ast }\Xi [\psi ,{\psi }^{\ast },t]$

I've uploaded a more detailed video with my perspective to YouTube, but I won't keep you waiting—here's the Lagrangian and the equation for a temporal processor. I'm sharing everything openly: I don't consider this a breakthrough, merely a tool for those who will make it.

There's an incredible amount of data. Some doubt temporal processors are possible because of this. Others, on the contrary, believe it more strongly. We shouldn't believe or deny—we should test.

The key point: the Hamiltonian replaces the integral over past states. There's no need to store the entire history and collapse it each time. The current state ψ(t) and the local law of its evolution contain everything necessary.

This Lagrangian is the core. The processor doesn't "compute" in the sense of sequential operations. It evolves. Instead of cycles, there's variational dynamics.

ψ(t) is the internal state.
The first term is the temporal phase, it defines the direction.
Ĥ₀ is the linear dynamics (the base propagator).
g|ψ|⁴ is the nonlinearity, without which there is no expressiveness.
λ_φ Ô_φ[∇] is the regularization of the structure, the smoothness over time.
γ_S Φ_S[|ψ|²] is the complexity or sparsity control.
F_Floquet(t) is an external periodic drive, like a clock signal, but not hard-coded.
i Ξ[ψ, ψ*, t] is the adaptation, input, or on-the-fly correction.

The integral is replaced by a Hamiltonian because the processor is causal: it operates locally in time, but globally in meaning. All past information is already baked into the form ψ.

Latex formula of Taylon Equation
$i\hslash \frac{\partial \psi }{\partial t}=(-\frac{{\hslash }^2}{2m}{\nabla }^2+V(r\left)\right)\psi +g|\psi {|}^2\psi +{\lambda }_{\phi }{\hat{O}}_{\phi }\left[\nabla \right]\psi +F_{Floquet}\left(t\right)\psi +i{\gamma }_S({\Phi }_S\left[|\psi {|}^2\right]-{\Phi }_S^{\left(0\right)})\psi +\eta (r,t)$