# Fixed-Wave Function Set — Phase-0 Pilot

**Decision:** `advance_to_new_frozen_32_seed_confirmation`  
**Scope:** Passive reciprocal temporal coupled-mode architecture benchmark; not energy gain, novel physics, a material result, or hardware performance.

## Pilot outcome

| Screen | Result |
|---|---:|
| Nominal access (+2 functions) | PASS |
| Phase + wrong-model mechanism | PASS |
| Robustness (positive in 5/7 cases) | PASS |
| Numerical/passivity audit | PASS |

Nominally, the structured space-time inverse reached **10/10** qualified
complex output functions. The per-command composite of the four optimized baselines reached
**8/10**, for a difference of **+2**.

## Nominal function results

| Function | Structured | Selected baseline | Structured energy | Baseline energy |
|---|---:|---|---:|---:|
| hold_port_0 | 8/8 | optimized_single_port_temporal: 8/8 | 0.25 | 0.25 |
| hold_port_1 | 8/8 | optimized_stationary_wavefront: 8/8 | 0.25 | 0.25 |
| hold_port_2 | 8/8 | optimized_amplitude_only_multiblock: 8/8 | 0.25 | 0.25 |
| hold_port_3 | 8/8 | optimized_single_port_temporal: 8/8 | 0.25 | 0.25 |
| split_02_even | 8/8 | optimized_stationary_wavefront: 8/8 | 0.25 | 0.25 |
| split_02_odd | 8/8 | optimized_stationary_wavefront: 8/8 | 0.25 | 0.25 |
| split_13_even | 8/8 | optimized_single_port_temporal: 8/8 | 0.25 | 0.25 |
| split_13_odd | 8/8 | optimized_stationary_wavefront: 8/8 | 0.25 | 0.25 |
| switch_0_to_1 | 8/8 | optimized_single_port_temporal: 2/8 | 0.25 | 0.25 |
| switch_2_to_3 | 7/8 | optimized_amplitude_only_multiblock: 0/8 | 0.50 | 1.00 |

## Function access across frozen plant cases

| Plant case | Structured | Composite baseline | Difference |
|---|---:|---:|---:|
| nominal | 10 | 8 | +2 |
| coupling_minus_5pct | 9 | 7 | +2 |
| coupling_plus_5pct | 7 | 7 | +0 |
| intrinsic_loss_half | 9 | 8 | +1 |
| intrinsic_loss_double | 9 | 8 | +1 |
| onsite_detuning_minus_5pct | 9 | 8 | +1 |
| onsite_detuning_plus_5pct | 10 | 9 | +1 |

## Mechanism controls

| Control | Candidate successes | Control successes | Reduction |
|---|---:|---:|---:|
| phase_scrambled_control | 79 | 0 | 100.0% |
| time_shuffled_control | 79 | 0 | 100.0% |
| wrong_model_inverse_control | 79 | 0 | 100.0% |

## Diagnostics

- Matched-coverage qProgT status: `diagnostic_matched_coverage_pilot`.
- Matched-coverage qProgT ratio: `1.000`
  (seed-block 95% interval `1.000`–`1.000`).
- Shared reachable functions: `hold_port_0, hold_port_1, hold_port_2, hold_port_3, split_02_even, split_02_odd, split_13_even, split_13_odd`.
- On those shared functions, both families used `0.25` mean incident
  energy units. Structured control reduced mean coherent cross-talk from
  `0.132` to `0.049`
  (`62.6%`), a descriptive pilot diagnostic rather than a promoted process badge.
- Physical-gate failures: `8` / `3040`.
- Maximum passivity-ledger residual: `2.429e-05`.
- Half-step label disagreements / closure failures: `0` / `0`.
- Frozen calibration manifest SHA-256: `48def9c56e46d2c11e175e8508ed0fcc427703b2d20fd45e1ff718c6ef2a8509`.

## Interpretation

This experiment tests a conventional control proposition: phase and time are usable design variables
in a fixed passive wave network. More qualified functions would show that the same hardware can expose
a larger operational function set when its coherent space-time control capacity is used. It would not
show energy creation, physics beyond coupled-mode theory, or that an arbitrary brute-force controller
can never reach the same functions outside the declared policy, peak-power, horizon, and energy bounds.

Earlier EHO and topology-count campaigns remain separate positive source lineages. They were not used as
evidence, calibration, targets, or thresholds in this newly frozen pilot.
