# Flow Hijacked — The Borrowed Nervous System
## Research Evidence System v1
**Acquisition date / cutoff: 12 September 2026**

### What this package actually delivers

This is an acquisition-stage research system, not a completed systematic review or an evidence-locked lecture.

The inventory contains **553 retained metadata occurrences**, merged into **545 unique DOI records**. Two are scholarly responses retained for a methodological debate, not independent research outcomes. The other 543 are candidate journal records whose complete eligibility, peer-review status and risk of bias have not all been independently verified.

There are **41 content-inspected sources**: **29 abstract/primary-record reviews** and **12 selected-full-text-section reviews**. **504 records remain metadata-only. Zero complete full-text audits are claimed.**

The accompanying workbook has 16 sheets, including 40 claim-to-source rows, 25 contradiction checks, 20 formal bridges, an explicit core-reading list, correction/version flags, a search log, and readiness gates. **The publication gate is HELD.** No website, ASK system, clinical record or external account was changed.

### Read the file in this order

Start with Dashboard and Readiness. Then inspect CoreReading, Claims, Contradictions and FormalBridges. Corpus provides canonical identities and source URLs; SourceAudit distinguishes extracted content from unread candidates. Integrity identifies six correction/erratum leads and two journal/preprint relationships. Backlog describes remaining work precisely.

The 525-source target was a planning floor, not a scientific optimum. Passing the candidate count does not mean that 525 papers are quality-approved, that every lane has adequate direct evidence, or that any novel mechanism is validated.

## 1. Acquisition and screening methods

### Continuity lock

The lecture extends Flow Hijacked from an individual system toward an embodied, history-dependent, socially coupled system. Nonlinear dynamics, fast–slow dynamics, neuromodulation, non-normality, resolvent gain, metastability and control are organizing questions, not decorative terminology.

The earlier ADHD evidence workbook was used as a workflow reference only. Its research corpus was **not** imported into this acquisition count.

### Search routes actually used

PubMed bibliographic searches were executed through Sider Scholar after an OpenAlex route returned irrelevant results. Targeted web searches then verified central sources on publisher, PubMed and author-institution pages. SearchLog contains the query strings for the saved PubMed batches, source-check batches, a failed search and access limitations.

This was a structured, single-pass acquisition and targeted content-review process. It was **not** an exhaustive, preregistered systematic review with independent dual screening. Requested maxima and database hit counts are not presented as numbers of screened papers. Only the saved title-screened metadata occurrences enter the 553 count. Complete raw API responses and licensed full texts are not archived.

The date cutoff was applied in the searches. Some papers have a later issue date than their first online publication. The inventory uses the retrieved issue year and records verified online/issue differences for selected core papers. Complete date reconciliation for every metadata-only row remains open.

### Canonical identities and duplicate handling

DOIs were percent-decoded, lowercased, and cleaned of URL prefixes and extraneous whitespace. Exact DOI duplicates were merged; all contributing batch and secondary-lane tags were retained. PMID-to-DOI and normalized-title collision checks found no additional conflicts in the saved inventory.

Eight duplicate occurrences were merged. The journal and preprint versions identified for the network-control pipeline and longitudinal intergenerational synchrony paper are not counted twice. Version chasing was targeted, not exhaustive.

The source data returned incomplete author lists in the bulk metadata route. Therefore, no author list was fabricated. The workbook uses partial author labels only where actually verified, and the RIS export intentionally omits incomplete author lists. DOI-based reference managers can resolve complete records later.

### Review-depth labels

**M:** metadata/title screening only. An M record is a lead, not evidential support.  
**A:** abstract or equivalent primary-source content reviewed.  
**S:** selected full-text sections reviewed; not whole-paper appraisal.  
**F:** complete full-text appraisal, including relevant supplementary and numerical checks. No F records are claimed.

These labels describe what was read, not scientific certainty. A large meta-analysis can still provide low-certainty evidence. A well-executed animal experiment can be strong evidence for a rodent mechanism but weak direct evidence for a human relational claim.

## 2. What the evidence changes

### Buffering is not automatically learning

Two rat studies give a productive contrast: one finds social attenuation of fear without improved later extinction, while another identifies oxytocin-related buffering with retained effects after partner absence. The designs are not direct replications, so this is a protocol-sensitive contrast rather than proof that one result invalidates the other.

The lecture must distinguish:
1. immediate regulation with a partner present;
2. retained change later without that partner;
3. safe generalization across contexts;
4. longer-term changes in self-generated regulation.

Sources: DOI 10.1093/cercor/bhac395 and DOI 10.1038/s41467-024-45626-z.

### Synchrony is a measurement, not a universal goal

Closeness manipulations, autonomic meta-analysis and longitudinal dyadic research do not support the identity “more synchrony = a healthier relationship.” Shared stimuli, movement, respiration and pre-existing neural similarity can contribute to correspondence between signals. Some studies go beyond simple correlation, but model-based directionality is not automatically intervention-level causality.

Sources: DOI 10.1038/s41598-026-36958-5; DOI 10.1016/j.physbeh.2021.113391; DOI 10.1371/journal.pbio.3003899; DOI 10.1146/annurev-psych-080123-101149.

### Neuromodulation is conditional

Endogenous oxytocin assays, pharmacological opioid experiments and adaptive-gain theory provide different kinds of information. They should not be flattened into a single “bonding chemical” story. Route, receptor, brain region, timing, task and assay specificity belong in every bridge to the lecture.

Sources: DOI 10.1037/bul0000402; DOI 10.1038/s41398-024-03088-3; DOI 10.1146/annurev.neuro.28.061604.135709.

### Clinical association is not mechanism

The attachment-health and alliance-outcome literatures motivate clinical relevance. Longitudinal support/PTSD findings motivate reciprocal feedback. None uniquely demonstrates the proposed BGG operator. Task neuroscience, animal circuits, clinical outcomes and mathematical models require distinct inference labels.

Sources: DOI 10.1037/pspp0000437; DOI 10.1037/pst0000172; DOI 10.1016/j.cpr.2021.101998.

## 3. Borrowed Gain Geometry: refined specification

**Status: proposed Flow Hijacked synthesis and testable hypothesis. No empirical relational operator or resolvent was estimated in this work. Conceptual priority has not been established.**

The candidate contribution is not merely that people affect each other. It is a precise question:

> Under which conditions does relational context change the feasible, safe and agentic dynamics of response, beyond changing the external input, baseline state, noise or observation channel?

### Coupled nonlinear formulation

For person \(i\), let \(x_i\) represent faster state variables, \(z_i\) slower learned/adaptive variables, \(m_i\) neuromodulatory variables, and \(r_{ij}\) relational history/context:

\[
\dot x_i = F_i(x_i,z_i,m_i) + C_i(x_i,x_j,r_{ij},u_i) + \eta_i.
\]

A slow subsystem may be written

\[
\dot z_i = \epsilon_i G_i(x_i,z_i,x_j,r_{ij}),
\]

but \(\epsilon_i\ll1\) is a modeling assumption to test, not an automatic fact about attachment. Neuromodulatory actions may span multiple timescales.

### Local dynamics and observations

Around an operating point or trajectory:

\[
\delta\dot x = J_r(t)\delta x + B_r(t)\delta u,\qquad
\delta y = C_r(t)\delta x.
\]

A relationship can change operating points, input channels, coupling, parameters or the measured variables. A difference in observed response does not by itself establish a change in the intrinsic within-person operator.

For an approximately stationary, locally stable approximation \(A_r\):

\[
R_r(z)=(zI-A_r)^{-1}, \qquad
H_r(i\omega)=C_r(i\omega I-A_r)^{-1}B_r.
\]

The resolvent and the measured input-output transfer function are not identical. Both require specified variables, units, norms and feasible input directions.

### Finite-time amplification

\[
G_r(T)=\max_{0\le t\le T}\|e^{A_rt}\|.
\]

This is a norm-amplification measure; a squared-energy convention uses its square. Non-normality, defined relative to an inner product, does not by itself guarantee transient growth. A large resolvent norm can also reflect slowly decaying normal modes. “High” therefore needs a timescale- and spectrum-matched reference rather than an invented clinical threshold.

When the context changes materially during observation, use the state-transition propagator

\[
\partial_t\Phi(t,s)=J_r(t)\Phi(t,s),
\]

not an unqualified frozen resolvent. Delays, nonlinear excursions and constraints may require augmented models or nonlinear reachability analysis.

### An analytical counterexample, not clinical data

Let

\[
A_k=\begin{pmatrix}-1&k\\0&-2\end{pmatrix}.
\]

All values of \(k\) leave eigenvalues \(-1,-2\). For \(k\ne0\), the matrix is non-normal. Its numerical abscissa is

\[
\omega(A_k)=\frac{-3+\sqrt{1+k^2}}2.
\]

Euclidean norm growth in some initial direction is possible when \(k^2>8\). Thus small nonzero \(k\) gives a non-normal system without such growth. For \(x(0)=e_2\),

\[
x_1(t)=k(e^{-t}-e^{-2t}),\qquad x_2(t)=e^{-2t}.
\]

At \(k=8\) and \(t=\ln2\), the norm exceeds 2 even though the system ultimately decays. This is one direction at one time, not the maximum gain.

Conversely, \(A=\operatorname{diag}(-0.01,-1)\) is normal and stable, but \(\|R(0)\|=100\). A high resolvent does not uniquely identify non-normality.

The workbook's ToyModel and the included script calculate these distinctions. Their variables and time units are dimensionless and are not fitted to people.

### What would count as support for BGG?

Compare preregistered, identifiable models:

**M0:** input-only differences with shared dynamics.  
**M1:** starting state, baseline, noise or observation differences.  
**M2:** state-dependent gain or operating-point differences.  
**M3:** context-dependent operator or coupling changes.  
**M4:** time-varying/delayed coupled dynamics.

Use counterbalanced benign tasks, verified inputs, shared-stimulus controls, neutral versus trusted versus recorded/symbolic support, multimodal outcomes and parameter-recovery checks. Added complexity must improve out-of-sample predictions and survive plausible confounds.

Useful outcomes include function and the ability to choose, speak, decline, disengage and re-engage—not simply lower arousal. Later voluntary follow-up can assess retention and generalization without removing clinically necessary support.

The operator-specific hypothesis is weakened if simpler models predict equally well, if parameters cannot be identified, or if effects do not replicate. Such a result would not invalidate the practical value of supportive relationships.

### Safety and prior art

Relational regulation theory, Social Baseline Theory, social allostasis, interpersonal inference and network-control research already address important parts of this terrain. The proposed contribution is a discriminating integration, not a claim that dyadic regulation was newly discovered.

A benefit to one person must not be obtained through coercion or unbounded cost to another. Never use this framework to diagnose, rank relationships, mandate touch/contact, alter medication, deny care, impose surveillance or remove autonomy.

## 4. Readiness decision

**Delivered:** candidate acquisition, exact deduplication, provenance, selected content review, claim mapping, contradiction map, formal bridge, mathematical example and explicit gates.

**Not yet passed:** 525 quality-approved peer-reviewed sources; complete core-paper appraisal; correction adjudication; publication-level numerical verification; direct validation of BGG; final lecture release.

The next substantive gate is the full review of the 41 inspected core sources and screening of the 504 metadata-only candidates. Several lanes, especially the narrow non-normality/resolvent lane, need targeted foundational work rather than arbitrary volume.

## 5. Source access

The workbook, CSV and JSON contain primary DOI/PubMed/publisher URLs on every row. No copyrighted full-paper archive is included. No font files or prior personal research workbooks are distributed.
