# Persistence under boundary and perturbation checks

The camera remains fixed while field energy leaves the original core. Larger-box, initial-perturbation and dimensional controls remain selectable. Conversion to seconds requires a scalar mass; the displayed 25-GeV choice yields microscopic durations and is not an allowed cosmological model.

Saved radial field snapshots appear above the complete fixed-core energy history. Three-dimensional leakage differs sharply from the one-dimensional control.

## 3D baseline

Canonical phi-six theory. Fixed viewing region and core radius 80 mass lengths; absorbing damping begins at 80% of each box. Discrete saved snapshots, not an interpolation of unrecorded oscillations.

First: Saved snapshot t m = 0 = 0.0 approximate small-amplitude periods. At m=25 GeV: 0 s. Individual oscillations are not resolved by these 100-unit snapshot intervals.

Last: Saved snapshot t m = 2000 = 318.3 approximate small-amplitude periods. At m=25 GeV: 5.27e-23 s. Individual oscillations are not resolved by these 100-unit snapshot intervals.

## 3D +1% initial amplitude

Canonical phi-six theory. Fixed viewing region and core radius 80 mass lengths; absorbing damping begins at 80% of each box. Discrete saved snapshots, not an interpolation of unrecorded oscillations.

First: Saved snapshot t m = 0 = 0.0 approximate small-amplitude periods. At m=25 GeV: 0 s. Individual oscillations are not resolved by these 100-unit snapshot intervals.

Last: Saved snapshot t m = 2000 = 318.3 approximate small-amplitude periods. At m=25 GeV: 5.27e-23 s. Individual oscillations are not resolved by these 100-unit snapshot intervals.

## 3D larger box

Canonical phi-six theory. Fixed viewing region and core radius 80 mass lengths; absorbing damping begins at 80% of each box. Discrete saved snapshots, not an interpolation of unrecorded oscillations.

First: Saved snapshot t m = 0 = 0.0 approximate small-amplitude periods. At m=25 GeV: 0 s. Individual oscillations are not resolved by these 100-unit snapshot intervals.

Last: Saved snapshot t m = 2000 = 318.3 approximate small-amplitude periods. At m=25 GeV: 5.27e-23 s. Individual oscillations are not resolved by these 100-unit snapshot intervals.

## 1D control

Canonical phi-six theory. Fixed viewing region and core radius 80 mass lengths; absorbing damping begins at 80% of each box. Discrete saved snapshots, not an interpolation of unrecorded oscillations.

First: Saved snapshot t m = 0 = 0.0 approximate small-amplitude periods. At m=25 GeV: 0 s. Individual oscillations are not resolved by these 100-unit snapshot intervals.

Last: Saved snapshot t m = 2000 = 318.3 approximate small-amplitude periods. At m=25 GeV: 5.27e-23 s. Individual oscillations are not resolved by these 100-unit snapshot intervals.