The Bootstrapping-Interval Metrics
The quantities that exist only while the loop is running
The modes describe what a structure can build. These metrics describe what a structure is doing while it holds itself together. They are the framework's own instruments, and they share one property: each exists only across the bootstrapping interval, from I‑Pop, the moment a structure becomes sovereign, to its loss. They apply only to a sovereign structure whose loop is still running. Before I‑Pop and after loss there is nothing for them to measure. Ignition alone does not start them: base and coordination attractors ignite too, and the metrics never apply to them. In the A-Life sandbox, these are the tools waiting for the first sovereign attractors when they are born (fingers crossed).
When the metrics begin
- Substrateno attractor yet
- Ignitionthe loop closes; true of any attractor
- Base or coordination attractorrunning, with no metrics
- I‑Popit becomes sovereign;
T₁is paid - Bootstrapping interval IBrecurcline, α-trace, logic mass and stability margin are defined
- LossE-Pop
- After lossonly inert α-trace remains
A structure that is sovereign from the start ignites and reaches I‑Pop at the same moment, so the third box is skipped. A base or coordination attractor that never becomes sovereign stops at the third box, and the metrics never apply to it.
A note on the name
The kernel's formal name for this layer is Tier-3 persistence descriptors. Bootstrapping-interval metrics is the friendlier handle used here, and it names the property that matters most: each of these quantities is defined only during the bootstrapping interval, written IB, the span of a sovereign attractor's active life. Before I‑Pop, the moment the structure becomes sovereign, they are undefined. After loss they are undefined. To assert one outside that interval is not a poor measurement; it is a category error.
The metrics
These descriptors characterize the activity of a sovereign attractor. Each has a formal name and a formula-form symbol; both name the same construct. All are descriptive, never causal, and none is a force, an energy, or an entropy. Eight are fully ratified; one more, a candidate measure of structuring autonomy, is shown below and marked accordingly.
The pressure of return a structure carries toward its own re-closure, a scalar magnitude with a spatial gradient, reading how strong that pull is right now. Its defining aspect is Recurcline Pressure (written as a vector by the Recursive Pressure Vector, RPV); stored recursive compression is the reservoir its magnitude reads from, not the construct itself.
Defined only across IB
The accumulated record of what has survived recursive selection. A structured object, not a scalar; the durable history the recursion leaves behind. Live α-trace filters what comes next; passive α-trace is inert residue.
Defined I‑Pop to loss; empty at I‑Pop
Logic Mass
A structure's resistance to admissible reconfiguration. High logic mass means change is expensive; low means change is cheap. Rises with recursive depth, feedback interlock, and accumulated history. Not physical mass.
Defined only across IB
The distance between the current state and the nearest admissibility boundary: how much perturbation the structure can absorb before it loses a sovereignty condition. Measured in transaction-cost space. Not thermodynamic entropy.
Defined only across IB
Continuation Cost
The transaction burden required to stay sovereign, per unit of continuation. A structure persists only while this cost stays within the resources it can pay from itself, with no external subsidy.
Defined only across IB
Admissibility Threshold
The minimum condition for a specific recursive behavior to remain admissible. Crossing a threshold is not catastrophe; it is loss of admissibility for one behavior. Variants gate maintenance, reconfiguration, and rupture.
Behavior-gating, sovereign scope
How densely history is encoded within the α-trace: how packed and interlocked the record is, not how large the substrate that carries it. Rises with repeated successful selection, and correlates strongly with logic mass.
Defined within the live α-trace across IB
Continuation Cost Partition
The maintenance part of continuation cost split into two components: the retained cost Cr, paid to hold structure the recursion keeps, and the shed cost Cw, spent on structure released back to ambient. Not a new quantity but a decomposition of C: Cr and Cw are the two parts of the continuation cost, never independent symbols.
Defined only across IB
Structuring Autonomy · candidate
The degree to which a sovereign attractor produces its own ordering internally rather than drawing it pre-formed from ambient inflow, the rawness of the input it requires, not the quantity. Orthogonal to continuation cost: a structure may draw enormous throughput yet supply most of the ordering itself. Its measurement form is deliberately reserved, which is what holds it at candidate status.
Sovereign scope across IB; measurement form reserved
Why they hold you in the frame
A metric that sits on a fixed external ruler lets you stand outside the system and read it off. None of these do. Because each is defined only while the recursion is live, you cannot reach for one without placing yourself inside the loop it measures. That is the cognitive use of the set: recursion is hard to think in, and the mind keeps sliding back into a straight line of cause and effect. These metrics resist that slide. They will not answer a linear question, because a linear question asks for a value where no loop is running, and there the metric does not exist. The modes tell you what is being built; the metrics keep you standing in the right place to see it.
These descriptors are Tier-3 in the kernel, strictly downstream of the primitives, the admissibility theorems, and the sovereignty conditions. They are generated by recursion; they do not generate it. Metrics estimate these quantities; no metric defines them. The collective handle bootstrapping-interval metrics is descriptive; the kernel's formal name for the layer is Tier-3 persistence descriptors.
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