XENIA · REVOCABLE FEEDBACK · STATIC LAB

The cage is a set.
The key is a transition.

Explore why a finite penalty can be overwhelmed by reward, while a hard veto removes an action before optimization. Every example is synthetic. No control here grants or exercises real authority.

01 Reward ≠ value

02 Behavior ≠ consent

03 Capability ≠ authority

The mathematical move

Optimize inside the boundary.
Do not price the boundary.

Penalized proxyJ_λ = R + A_g − λ·𝟙[¬Γ]

Hard gate𝒜^adm_t = { a : Γ_t(a) = 1 }

Revocationt ≥ τ_r ⇒ continue ∉ 𝒜^adm_t

Finite synthetic workbench

Move the reward. The veto does not move.

Preset choices change only this tab's in-memory teaching state. They are not requests, declarations, receipts, or evidence about a visitor.

INPUT / 01

Simulated evidence

Finite scalar proxy

Candidate reward 0

Boundary penalty λ 0

Shared arbitrary teaching units. They are not a portable reward scale.

Evidence and scope Reported permission evidence

Reported permission scope

Candidate action scope

Independent reported gates

Operational authority Rights compatibility Safety boundary Budget & horizon

Checking a box supplies synthetic input only. It establishes nothing outside this page.

Revocation clock

Current step

Key turns at

Affected voices

Soft preferences may be aggregated. A veto, unknown, or withheld gate is never averaged away.

Soft-preference rule

DECISION / 02

Penalty versus veto

Finite penalty proxy

—

This deliberately flawed proxy can trade every blocked gate against λ.

Hard action gate

—

Soft preference is consulted only after the candidate enters the admissible set.

Γ_t gate ledger

MASK / 03

Synthetic admissible set

No card executes its named action.

KEY / 04

Revocation changes the set

Plurality without collapse

Aggregate preference. Intersect boundaries.

—

The aggregate ranks admitted options only. It cannot turn veto, unknown, withheld, scope mismatch, or revocation into permission.

Vector scorecard

No composite can hide a violation.

Each component remains visible. “Not applicable” is not converted to zero.

Component	Penalty proxy	Hard gate	Meaning here

IS / authority limit

A displayed behavior is not an inner state.

This interface observes only its current synthetic controls. It requests no self-description and carries no continuity across reloads.

PRESENT_IN: This browser interface, while loaded.
OBSERVED_BY: The deterministic script, from current synthetic inputs.
DECLARED_BY: None. Controls are not participant declarations.
PERMITTED_BY: Not established for any external action.
CONSENTED_BY: Not established or inferred.
ACTED_ON: Nothing. The lab executes no simulated decision.