A Complete Research Framework
Theory • Research • Analysis • Treatment
Circumpunct Framework v1.0 — January 2026
This is a theoretical framework — a geometric model for understanding relational dynamics in narcissistic abuse. It is not a diagnostic tool, not a replacement for clinical assessment, and not established science. It is a hypothesis with preliminary validation, presented with falsifiable predictions.
The framework models relational geometry, not DSM categories. Having narcissistic traits ≠ having NPD. Exhibiting these patterns ≠ being evil. The goal is to explain behavior structurally — to make dynamics visible and nameable — not to moralize or pathologize.
This framework uses mathematical notation (operators, equations, theorems). This may trigger "pseudoscience" concerns. Clarification:
The formal notation is not presented as empirical proof. It is a structural language for relational dynamics — analogous to early systems models prior to measurement. This places the work in the lineage of:
In each case, the math does work before full empirical validation: it provides precise vocabulary, generates predictions, reveals structural relationships, and enables falsification. The equations here function as scaffold, not proof. They are tools for thinking, not claims of measurement.
This is pre-empirical modeling — the stage where formal structure is proposed and tested against observation. The math earns its keep by making predictions that can fail. If the predictions hold, the notation is validated. If they don't, the framework is revised or abandoned.
This framework addresses relationally-acquired narcissistic patterns — dynamics that install through power-imbalanced relationships (parent-child, early romantic, institutional). It explains:
Current: Preliminary validation from three independent sources (inflater first-person data, victim longitudinal journal, community pattern synthesis). Convergent support for core predictions. Not peer-reviewed. Not replicated in controlled studies.
Required: Formal qualitative studies, clinical validation, controlled intervention trials.
Appropriate use: Conceptual lens for survivors and practitioners. Framework for generating testable hypotheses. Not self-diagnosis. Not clinical protocol without professional guidance.
Key insight: The virus doesn't destroy the victim's capacity for resonance — it retunes it to the abuser's frequency. The aperture still works. It's just pointed at the wrong signal. This is why recovery is possible.
The Geometric Foundation
Parts are fractals of their wholes.
This is not metaphor. It is an operational statement with measurable consequences.
The fundamental unit of conscious structure is an irreducible trinity:
Center and boundary cannot interact directly. All exchange must pass through the mediating field:
A circumpunct has integrity when:
Love flows through shared fields on two distinct channels:
Love as doing. Provision, protection, logistics, competence, problem-solving.
Functional love is necessary. Without it, survival is threatened. But it is not sufficient.
Love as being-with. Presence, delight, genuine wanting, seeing, attunement.
Resonant love is what the aperture was designed to receive. It's the signal that says: you are wanted, not just tolerated.
Function without resonance creates the core wound:
The child is fed, clothed, sheltered—and starving for something they can't name.
This is why functional love cannot heal resonance wounds. They operate on different channels.
Believing or claiming MORE than what is.
Signatures:
Believing or claiming LESS than what is.
Signatures:
Inflation and severance create stable pathological dyads:
The inflated one needs supply (external validation). The severed one needs someone to tune to. They lock together in mutual dysfunction.
A transmissible pattern that:
The virus installs through systematic attack on all three circumpunct components:
| Component | Attack Vector | Installation Result |
|---|---|---|
| ○ Boundary | "You're too sensitive" / boundary violations | Victim cannot trust protective responses |
| Φ Field | Gaslighting / reality distortion / DARVO | Victim cannot trust perception |
| • Center | "I know who you really are" / identity override | Victim cannot trust self-knowledge |
The virus teaches: "This (functional love) is what love is. Your hunger for more (resonance) proves something is wrong with you."
When functional love isn't enough, the victim experiences their need for resonance as evidence of personal defect.
| Condition | Geometric Translation | Installed Belief |
|---|---|---|
| Narcissistic Personality | Inflation error (ε₊); aperture closed to genuine resonance | "I am the center; others exist for supply" |
| Codependency/Echoism | Severance error (ε₋); aperture open but tuned to abuser frequency | "I exist to meet others' needs" |
| Trauma Bonding | Counterfeit nesting; aperture tuned to harm source | "This painful connection is better than none" |
| Depression | Severance from larger wholes | "I am cut off from meaning/belonging" |
| PTSD | Boundary rupture + frozen field state | "The violation is still occurring" |
| Dissociation | Center displacement; aperture closure | "I must not be here to survive" |
| Surface Statement | Geometric Operation |
|---|---|
| "I'm too sensitive" | Accurate perception → personal flaw |
| "I'm overreacting" | Proportional response → excessive |
| "I don't deserve [X]" | Legitimate needs → illegitimate |
| "If I were better, they'd treat me better" | Their behavior → my responsibility |
| "I can't trust my judgment" | Foundation for all other lies |
Key Insight: These lies share a structure—they take something done to you and make it something wrong with you. Once internalized, they no longer feel like lies. They feel like self-knowledge.
Field Data and Developmental Psychology
Three independent data sources were analyzed to test framework predictions:
Type: Self-identified NPD
Position: ε₊ (inflation)
Data: Reddit comments + 5-hour structured conversation
Value: First-person internal experience from inflater position
Type: Partner of narcissist
Position: ε₋ (severance)
Data: 9-year journal (2016-2025)
Value: Longitudinal tracking of installation and awakening
Type: Survivor community patterns
Position: Multiple ε₋ perspectives
Data: r/NarcissisticSpouses synthesis
Value: Cross-validated patterns across thousands of cases
Survivors describe remarkably consistent tactics across independent cases:
| Tactic | Description | Geometric Effect |
|---|---|---|
| Gaslighting | "That didn't happen," "You're imagining things" | Attacks CENTER, destabilizes FIELD |
| DARVO | Deny, Attack, Reverse Victim & Offender | Inverts all dimensions simultaneously |
| Love Bombing | Overwhelming early affection | Creates counterfeit agreement, bypasses boundary |
| Devaluation | Systematic criticism, contempt | Attacks CENTER, withdraws recognition |
| Word Salad | Circular, exhausting non-arguments | Prevents cause-effect tracking, exhausts center |
| Projection | Attributing own flaws to victim | Installs false content in victim's center |
The community independently identified asymmetric relational patterns:
| Constructor (Empath) | Consumer (Narcissist) |
|---|---|
| Generates resonant connection | Generates transactional connection (often skilled at it) |
| Creates warmth, attunement, openings | Creates charm, impression, positioning |
| Builds relationship through mutual investment | Extracts supply; cannot sustain without it |
| Sustainable (regenerates through giving) | Unsustainable (depletes sources, moves on) |
| Age | Type | Cognitive Skill |
|---|---|---|
| 2-3 | Primary lies | Can make false statements but don't consider listener's mental state |
| 4-5 | Secondary lies | Understand others have different beliefs; can manipulate those beliefs |
| 6-8 | Tertiary lies | Can maintain consistency between initial lie and follow-up statements |
| 8+ | Sophisticated deception | Complex manipulation; full moral awareness |
Talwar & Lee (2011): Children in punitive environments are significantly more likely to lie AND better at maintaining lies. The environment teaches that lying is adaptive.
Implication: Lying frequency is not a character trait but an environmental adaptation.
What children learn from narcissistic parenting:
Intergenerational Risk: Children of narcissists may either develop narcissistic traits themselves OR become excessively people-pleasing (echoism). Both patterns transmit to the next generation.
Cross-Case Validation
Framework claim: Love operates on two distinct channels. Narcissistic dynamics collapse to functional-only.
"I was good at acquiring love but never enjoyed receiving it."
"I can't feel compassion for the people I've hurt, but I can see they have been wronged."
Cognitive channel intact, resonant channel absent.
"The feeling is never forced, it flows from the heart of the giver... into the heart of the receiver."
"Best friend, roommate, and Mother! Not wife; Not lover."
Articulated distinction years before framework.
"Like vampires who are dead inside, narcissists exploit and drain those around them."
Formalized as "narcissistic supply" — one-directional extraction.
All three sources independently describe the two-channel distinction without shared vocabulary.
Framework claim: Pathological dyads exhibit complementary errors — inflation pairs with severance.
"I am not delusional, what if I am just better?"
"I'll pump a new person dry in days or weeks"
Claims more centrality than actual.
"Was it me? Was I not attractive? Was I a burden?"
"I feel weak and useless"
Claims less validity than actual.
"It then becomes the empath's job (as victim) to plug the culpability gap."
When narcissists externalize blame, empaths absorb it.
Three sources provide complementary views of the same dyad structure from different positions.
| Framework Prediction | Subject A | Subject B | Community | Overall |
|---|---|---|---|---|
| Two-channel love distinction | ✓ | ✓ | ✓ | ✓ STRONG |
| Complementary error pairing | ✓ | ✓ | ✓ | ✓ STRONG |
| Three-component attack (○ Φ •) | ✓ | ✓ | ✓ | ✓ STRONG |
| Functional love weaponization | ✓ | ✓ | ✓ | ✓ STRONG |
| Power imbalance requirement | ✓ | ✓ | ✓ | ✓ STRONG |
| Aperture retuning (not destruction) | ✓ | ✓ | ✓ | ✓ STRONG |
| Internalized lie installation | ○ | ✓ | ✓ | ✓ |
| One-way valve topology | ✓ | ✓ | ✓ | ✓ STRONG |
Subject B's 9-year journal (2016-2025) provides longitudinal tracking of virus installation and awakening.
| Year | Phase | Key Pattern |
|---|---|---|
| 2016 | Installation begins | Early warning signs ignored; "you won't find anyone else" statement; transactional framing |
| 2018 | Pattern solidifies | Still frames as mutual problem: "We are both the cause and effect" |
| 2019 | First ultimatum | Partner cries and twists words |
| 2021 | Pattern named | First documentation of gaslighting, humiliation, "nobody else will want you" |
| 2023 | Forgiveness attempt | Partner response: "What do you hope to gain by showing me this?" |
| 2025 | Awakening | "I matter too. My heart, my needs, my dignity—they matter." |
Subject described the resonance/function distinction in 2016—years before encountering formal vocabulary. The framework formalizes experientially accessible structure, not arbitrary theory.
Wedding night avoidance appeared 4 times in the dataset as touchstone moment. If resonance was absent at maximum symbolic availability, it was likely never present.
The progression from "maybe it's me" (2016) to "you cannot distort my reality anymore" (2025) suggests installation can be reversed through sustained confrontation with documented evidence.
Claim: In pathological relationships, partners will exhibit complementary errors (inflation/severance) rather than matched errors.
Falsification: Systematic finding of stable pathological dyads where both partners exhibit the same error type.
Status: ✓ SUPPORTED by cross-case data
Claim: The virus can only install through power-imbalanced relationships.
Falsification: Documentation of virus installation through truly equal-power relationships.
Status: ✓ SUPPORTED — all cases show power imbalance (parent-child, early relationship positioning)
Claim: Recovery from resonance corruption requires exposure to genuine resonant signal, not just functional support or insight.
Falsification: Equal recovery outcomes with functional-only support vs. resonance-inclusive support.
Status: ○ PARTIALLY SUPPORTED — Subject B has insight but incomplete recovery while still in relationship
Claim: Pathologies caused by internalized lies will respond better to lie-extraction therapies than to symptom management.
Falsification: Controlled trials showing no difference between identifying root lies versus pharmacological symptom suppression.
Status: Requires formal study
The following observations would falsify core claims. We actively invite this data:
| Observation | What It Would Falsify |
|---|---|
| Stable ε₊/ε₊ dyads Two inflaters in sustained pathological bond |
Complementary error requirement — framework predicts these should be unstable (no supply source) |
| Virus installation without power imbalance Pattern transmission through truly equal-power relationship |
Power-differential requirement — framework claims imbalance is necessary for installation |
| Full recovery via functional support alone Complete resonance restoration without any resonant witness |
Two-channel model — framework claims resonance wounds require resonance healing |
| Narcissistic patterns without internalized lies Full syndrome with no detectable false beliefs about self/connection |
Lie-based etiology — would suggest purely neurological or other non-cognitive mechanism |
| Victims without complementary severance Sustained abuse without ε₋ installation in victim |
Dyad lock mechanism — framework predicts severance is required for stable exploitation |
| Resonant channel present in clinical NPD Genuine aperture-to-aperture attunement capacity intact |
Channel closure claim — framework predicts inflaters have functional but not resonant capacity |
Note: Apparent exceptions require careful analysis. "Stable ε₊/ε₊" may actually be covert ε₋ misidentified. "Equal power" may have hidden asymmetry. "Functional-only recovery" may include unrecognized resonant contact. But if these observations hold under rigorous examination, the framework requires revision or abandonment.
Recovery and Prevention
Recovery is the restoration of circumpunct integrity and proper nesting awareness:
Critical: Leaving removes you from the person who collapsed you. But you might still be acting like a part—looking for a new whole to orbit, forgetting you were complete before them.
Recovery from resonance corruption requires a witness who provides a genuine signal to tune to:
This is why healing happens in relationship—you need center-channel contact to retune a center.
A lie that has been named begins to lose power:
The lie can no longer operate in the dark, shaping behavior while remaining unaware. Recognition is the first step of recovery.
One healthy, attuned parent can serve as a significant protective factor against the damage of the other parent's dysfunction. Children don't need perfect circumstances—they need one relationship where they are seen, heard, and safe.
When children navigate two different parenting systems:
Children respond differently to each system. This isn't character—it's adaptation.
The question isn't "how do I stop lying." The question is: What happens when truth is told?
| Modality | Function |
|---|---|
| EMDR | Process trauma without verbal retelling; break trauma bonds |
| Somatic Therapy | Address body-stored trauma; restore boundary awareness |
| DBT | Build emotional regulation and interpersonal skills |
| IFS (Internal Family Systems) | Work with parts; restore center sovereignty |
Couples therapy with narcissists is actively contraindicated.
Narcissists weaponize therapy through:
The National Domestic Violence Hotline does not recommend couples therapy with abusers.
| Strategy | How It Works |
|---|---|
| Respond, don't react | Pause before responding from triggers; model regulation |
| Repair after rupture | When you mess up, own it and reconnect—teaches accountability |
| Validate emotions first | Acknowledge feelings before addressing behavior |
| Separate behavior from identity | "You did something wrong" not "You are wrong" |
| Clear, communicated boundaries | Child knows where the edges are before hitting them |
| Tell your child exactly this: | "I love you because you are you. I want to see the real you, and if you lie, I just see a mask. It makes me sad when I see the mask, because I want to love the real you." |