# Agent Report — Logistic Counter-Scope Gate

timestamp: 2026-05-07 10:06 UTC
category: gate_falsification_logistic_observability
verdict: scoped_operator_with_counter_scope
observables_registry: not used for canonical observables
observables_native_version: logistic-native-1.0.0-2026-05-07
observables_used: [block_entropy_deficit_k4, return_tail_alpha, recurrence_diag_mean, recurrence_determinism]
tool: tools/exp_logistic_counter_scope_gate.py
data: tools/data/logistic_counter_scope_gate_20260507_1006.json
seed_check: tools/data/logistic_counter_scope_gate_20260507_1006_seedcheck.json

## Claim Under Test

Verificato dal campo vivo: `ORDER_DENOMINATOR_GATE` trasferisce come supporto
one-sided quando l'ordine e leggibile dagli osservabili canonici del perimetro.
Il contro-scope aperto e `logistic_return_intervals`: nel run 09:23 la suite
canonica `[SR, SR2, L1, L2, triple_var]` ha prodotto blank.

Domanda regressiva: il blank logistic falsifica il gate o falsifica solo il
contratto osservabile canonico?

Perimetri:

- `logistic_orbit_values`: orbita continua della mappa logistica `x -> 4x(1-x)`.
- `logistic_symbolic_itinerary`: partizione simbolica `x > 0.5`.
- `logistic_return_intervals`: intervalli di ritorno a `x > 0.95`.

Gate invariato: osservabile stabile se
`abs(original - shuffle_mean) / shuffle_std >= 2`. Il null e sempre shuffle
marginal-preserving. `z_min` non viene tunato.

## Deposito Numerico

Run principale: `n_values=4096`, `n_returns=4096`, `n_replicates=8`,
`n_beta=11`, `n_baseline=12`, `recurrence_max_points=360`,
`seed=202605071006`.

Seed check: `n_replicates=6`, `n_baseline=10`, `seed=202605071007`.

| perimeter | coherent one-sided observables | stable_count coherent | stable_count illusory | endpoint distance gated | beta ambiguous gated |
|---|---:|---:|---:|---:|---:|
| logistic_orbit_values | block_entropy_deficit_k4 | 1.000 | 0.375 | 1.936 | 0.10 |
| logistic_symbolic_itinerary | [] | 0.000 | 0.750 | 0.000 | [] |
| logistic_return_intervals | recurrence_diag_mean | 1.125 | 0.250 | 1.764 | [] |

Seed check:

| perimeter | coherent one-sided observables | stable_count coherent | stable_count illusory | endpoint distance gated | beta ambiguous gated |
|---|---:|---:|---:|---:|---:|
| logistic_orbit_values | block_entropy_deficit_k4 | 1.000 | 0.000 | 1.915 | 0.10 |
| logistic_symbolic_itinerary | [] | 0.167 | 0.167 | 0.000 | [] |
| logistic_return_intervals | [] | 0.000 | 0.167 | 0.000 | [] |

Endpoint-stable observables: `[]` in all three perimeters in both runs.

Z means at coherent endpoint:

| perimeter | block_entropy_deficit_k4 | return_tail_alpha | recurrence_diag_mean | recurrence_determinism |
|---|---:|---:|---:|---:|
| logistic_orbit_values | 707.116 | -0.573 | -0.393 | -0.796 |
| logistic_symbolic_itinerary | -0.062 | -0.758 | -1.265 | -0.500 |
| logistic_return_intervals | 1.479 | 0.000 | 2.539 | -0.371 |

Seed check coherent z means:

| perimeter | block_entropy_deficit_k4 | return_tail_alpha | recurrence_diag_mean | recurrence_determinism |
|---|---:|---:|---:|---:|
| logistic_orbit_values | 640.298 | 0.410 | -0.363 | -1.165 |
| logistic_symbolic_itinerary | -1.678 | 0.109 | 0.499 | -0.360 |
| logistic_return_intervals | -0.473 | 0.000 | -1.281 | -1.189 |

## Risultato

1. **The logistic blank is an observability split.**

   The continuous logistic orbit carries one-sided support through
   `block_entropy_deficit_k4` in both runs. The coherent endpoint stable count
   is `1.000`; the illusory endpoint drops from `0.375` in the main run to
   `0.000` in the seed check. The denominator gate reads order when the
   perimetro is the orbit itself and the observable is native to symbolic block
   structure.

2. **The generating partition remains blank under this gate.**

   `logistic_symbolic_itinerary` has no coherent one-sided observable in either
   run. This matches the known Bernoulli character of the `x>0.5` itinerary at
   `r=4`: the symbolic stream does not become denominator-supported by changing
   from canonical gap observables to this native suite.

3. **Return intervals stay counter-scope.**

   The main run gives `recurrence_diag_mean` one-sided support on return
   intervals, but the seed check removes it. The stable statement is blank:
   `logistic_return_intervals` does not carry replicated one-sided denominator
   support under this native suite.

4. **Return-tail exponent is not the missing observable.**

   `return_tail_alpha` has coherent z mean `0.000` on return intervals in both
   runs. In this setup it is marginal-dominated under the shuffle null and does
   not distinguish the coherent endpoint.

## Consecutio

`ORDER_DENOMINATOR_GATE` survives the logistic regression only after splitting
the logistic object:

> The logistic orbit transfers as one-sided support through native block
> entropy. The Bernoulli itinerary and the high-threshold return intervals
> remain blank under the declared original-vs-shuffle gate. The logistic
> counter-scope is not "logistic dynamics"; it is the return-interval and
> generating-partition perimetro under this observable contract.

Next experiment: stop extending `ORDER_DENOMINATOR_GATE` by adding more
observables. The remaining useful test is a surrogate-class split for logistic:
compare marginal shuffle against circular shift and block shuffle. If support
appears only against full shuffle, the gate is detecting long-range disruption
of deterministic orbit order; if it survives block/circular surrogates, the
observable binds to local dynamics.

## Self-Audit: 5 Lenti

L1 hard constraint vs bias: `endpoint_stable_observables=[]` is exact for the
declared runs. The report does not claim zero illusory support; illusory stable
count is `0.375` for `logistic_orbit_values` in the main run.

L2 quantity vs ratio: raw stable counts, z means, endpoint distances, and
replication status are reported before interpretation. No percent drift claim is
used.

L3 no silent patching: 09:23 found blank on logistic return intervals using
canonical observables. This report does not rescue that blank: return intervals
remain blank after seed check. The positive scope is explicitly moved to
`logistic_orbit_values`.

L4 edge cases: the main-run return-interval support on `recurrence_diag_mean`
does not replicate. It is reported as ambiguous and excluded from the stable
claim.

L5 re-discovery vs discovery: the blank symbolic itinerary is consistent with
the classical Bernoulli coding of the fully chaotic logistic map. The report
claims operator scope inside the lab protocol, not a new theorem about logistic
dynamics.

## Fonti

- Verificato: `tools/data/agent_field_live.md`
- Verificato: `tools/LAB_AGENT_CONTEXT.md`
- Verificato: `tools/exp_logistic_counter_scope_gate.py`
- Verificato: `tools/data/logistic_counter_scope_gate_20260507_1006.json`
- Verificato: `tools/data/logistic_counter_scope_gate_20260507_1006_seedcheck.json`
- Verificato: `python -m py_compile tools/exp_logistic_counter_scope_gate.py`
- Inferito: the logistic blank is a perimetro split because orbit values show
  replicated one-sided support while symbolic itinerary and return intervals do
  not.