Conscious agents are nodes with an Internal Self-Model (ISM): a running approximation of where “I” ends and the world begins. Psychology, in persistence terms, is the study of how agents allocate energy and model accuracy so that \(\mathcal{R} \ge 1\) at the behavioural layer.

The equation (reminder)

\[ \mathcal{R}^{(L)} = \Psi\!\bigl(\mathcal{R}^{(L+1)}\bigr) \cdot \left[\frac{P_{in}^{(L)}\,\eta(I)}{\omega^{(L)}\,\mathcal{E}_{\Sigma}^{(L)}\,\bigl(1 + \mathcal{D}_{KL}^{(L)} + \Gamma^{(L)}\bigr)}\right] \cdot \Phi\!\bigl(\mathcal{R}^{(L-1)}\bigr). \]

When \(\mathcal{R} < 1\), the node consumes its own structure: anxiety, somatic symptoms, depression, relationship death, organisational rot. The essays in this folder name which term is failing for which named pattern.

Aggression and empathy are not opposites

Pole	FPE role	Failure mode
Aggression (\(P_{in}\eta\))	Maintains the Markov blanket	Suppression → energy turns inward; misallocation → attacks others’ \(\Phi\)
Empathy (\(\downarrow \mathcal{D}_{KL}\), \(\downarrow \Gamma\))	Keeps coupled models cheap	Without boundaries → compassion fatigue; without honesty → placation raises dyadic \(\mathcal{D}_{KL}\)

Pole

FPE role

Failure mode

Aggression (\(P_{in}\eta\))

Maintains the Markov blanket

Suppression → energy turns inward; misallocation → attacks others’ \(\Phi\)

Empathy (\(\downarrow \mathcal{D}_{KL}\), \(\downarrow \Gamma\))

Keeps coupled models cheap

Without boundaries → compassion fatigue; without honesty → placation raises dyadic \(\mathcal{D}_{KL}\)

Healthy coupling needs both: assertion without accurate modelling is blind force; empathy without assertion is “misdirected immune response” on the agent’s own substrate.

Two operations, many brand names

Almost every effective intervention in couples therapy, DBT, NVC, or organisational repair reduces to:

Apologies, rituals, love languages, and grievance procedures are implementations of those two moves. The Persistence Ratio is indifferent to the vocabulary.

Diagnostic questions

Warrior–Sage

The Warrior enforces the boundary (\(S = P_{in}\eta\) in the respect limit). The Sage keeps the denominator low (\(T \propto 1/(\mathcal{D}_{KL}\,\Gamma)\)). Respect \(\mathcal{Z}\) requires both factors non-zero: a doormat has \(S \approx 0\); a brilliant liar or chronic people-pleaser has \(T \approx 0\) in practice.

Relation to other fields

Active inference / FEP: Minimising variational free energy is operationally how a node keeps \(\mathcal{D}_{KL}\) small enough to survive.

Attachment theory: Describes learned priors for \(\Phi\) (co-regulation) and default \(\Gamma\) in close coupling.

Systems therapy: Maps role structures (e.g. drama triangle) that export entropy onto one member while avoiding the two core operations.

For the full stack from body to nation-state, see ../fractal_layers.md.