Psychology through the Persistence Ratio

These notes apply the Fractal Persistence Equation (FPE) and its behavioural reading — aggression (numerator: \(P_{in}\eta\)) and empathy (denominator: \(\mathcal{D}_{KL}\), \(\Gamma\)) — to familiar psychological and relational patterns.

They are companion essays, not a clinical manual. For the full derivation and philosophical context, see:

persistence.md — short statement of the FPE
papers/information_persisting_systems.md — formal law
books/book1/part4b.md — aggression, empathy, respect (Chapters 31.1–31.4)
books/aggression_empathy.md — standalone volume on the same themes

Vocabulary (behavioural layer)

FPE term	In relationships / psyche
\(P_{in}\eta\)	Boundary enforcement, assertive “no”, targeted consequence
Low \(\eta\)	Rage, passive aggression, drama, identity attacks
\(\mathcal{D}_{KL}\)	Denial, deception, delusion, “story” vs reality
\(\Gamma\)	Unresolved conflict, contempt, recurring fights, stonewalling
\(\Phi\)	Body, sleep, attachment substrate, “can I actually do this?”
\(\Psi\)	Family, workplace, culture, ecology that shields or fails you
\(\mathcal{R} \ge 1\)	The agent/relationship still exists as a distinct node
Warrior–Sage	Enough aggression and enough honesty/empathy to persist

Aggression here is ethological, not moral: costly behaviour that maintains the self/other boundary. Empathy is not “being nice”; it is lowering model error and friction in a coupled system — and it fails when it crosses the boundary set by aggression.

Bridge to sociology and geopolitics

Topic	File
Fractal layers — body, self, family, society, state	../fractal_layers.md
Sociology — households, workplaces, communities	../sociology/README.md
Software at this layer	`aion-llm` — token-level persistence; see ../stack_and_layers.md

Essays

Topic	File
Shared vocabulary and reading guide	framework.md
Karpman drama triangle	drama_triangle.md
Attachment styles as coupling patterns	attachment_and_coupling.md
People-pleasing, codependency, fawning	people_pleasing.md
Escalation, Gottman’s horsemen, rupture–repair	friction_cycles.md
Burnout, compassion fatigue, substrate collapse	burnout_and_substrate.md
Denial, dissociation, cognitive dissonance	denial_and_self_deception.md
Epistemic humility vs. ego preservation	epistemic_humility_vs_ego_preservation.md
Dark triad, psychopathy, ASPD	dark_triad_and_aspd.md
Voice, exit, loyalty (Hirschman)	voice_exit_loyalty.md

How to use these docs

Each essay follows the same spine:

Phenomenon — what clinicians and social psychology already describe.
FPE mapping — which terms move, and in which direction.
Mechanism — why the pattern is a stable attractor or a collapse trajectory.
Interruption — the two operations that always matter: lower \(\mathcal{D}_{KL}\), lower \(\Gamma\) (or decouple).

Nothing here replaces therapy, diagnosis, or crisis care. The point is to show that many “moral” or “personality” labels are often accounting labels for how a node is managing \(\mathcal{R}\) in real time.