Which lawlike statements are on the table?
quantum action to classical motion
field dynamics
relationamplitude ∝ exp(iS/ℏ)
stationary phase
relationδS = 0
localized packet
relation⟨x⟩ and ⟨p⟩ remain narrow
effective motion
relationd/dt(∂L/∂q̇) − ∂L/∂q = 0
| step | relation |
|---|---|
| field dynamics | amplitude ∝ exp(iS/ℏ) |
| stationary phase | δS = 0 |
| localized packet | ⟨x⟩ and ⟨p⟩ remain narrow |
| effective motion | d/dt(∂L/∂q̇) − ∂L/∂q = 0 |
path spread
0.55
display control for phase concentration
This is the standard stationary-phase continuation from a supplied finite action. The run does not certify a macroscopic ℏ→0 limit or a particle trajectory.
A stochastic memory law with a protected fibre, a finite modular weighting, and an analytic weak-field gravity reference used for illustration.
No macroscopic classical limit or measured particle trajectory is contained in the run.
Floating PragmaLearn OPH: entropy, modular flow and effective lawsBook: thermodynamics, gravity and the classical limitFlagship paperDiscuss on Notebook
source and scope
What is drawn: The action principle shown in the field chapter, continued with the standard stationary-phase argument.
data pointers
- browser/shared_field_action.json/variation_formula
verified payloads
- browser/shared_field_action.json · bytes · sha256
package shared-physics-2026-09-10 · manifest sha256 ec364cad65eede46c7367badf480632e8e39899eedb3abfc883a651789149ff4