Nicolás Federico Galindez

What an adversarial audit of a preregistered program finds: two rounds of corrections across ten preprints, and the gaps that produced them

A research program that preregisters its protocols publicly, runs each once, and re-verifies its quoted numbers mechanically can still be wrong in ways none of those safeguards detect. We report two audit rounds of such a program — ten preprints on perturbational complexity and r...

A replicated association between resting spectral slope and TMS-evoked complexity fails blind preregistered confirmation

Simulation work (companion papers) indicates that perturbational complexity — the quantity behind the clinically validated PCI family of consciousness measures — reflects the reproducible dimensionality of a system's causal response, maximal at the edge of chaos on its stable sid...

Selection bias can inflate the Perturbational Complexity Index (PCIst) in high-dimensional low-SNR regimes: diagnosis, boundary conditions, and a fully out-of-sample estimator

The state-transition Perturbational Complexity Index (PCIst; Comolatti et al., 2019, Brain Stimulation) is the most practical validated measure of consciousness-related brain complexity, discriminating wakefulness from sleep, anesthesia and disorders of consciousness from the com...

Debiased reproducible dimensionality is lower under isoflurane than in wakefulness in the same mouse brain, at matched trial counts and stimulation currents

Perturbational complexity distinguishes conscious from unconscious brain states, but our companion work showed that the standard estimator (PCIst) partly reflects a selection bias, and that what it tracks is the response's reproducible dimensionality (R-dim) — the number of respo...

The mechanics of the inverted-U: an exact linear theory of reproducible dimensionality, and what governs its rise and fall

A companion paper (doi:10.5281/zenodo.22168190, "What must a theory of perturbational complexity explain?") consolidated nine constraints and challenged any theory to pass them — including C3: debiased perturbational complexity (R-dim, the reproducible dimensionality of the evoke...

The edge of chaos is the throne of time, not of richness: a sealed dissection of the field's favorite slogan

"Complexity is maximal at the edge of chaos" is among the most repeated claims in the dynamics of neural systems, and our own program confirmed its standard form: debiased perturbational complexity (R-dim, the reproducible dimensionality of the evoked response) traces an inverted...

Field-level perturbational complexity is not a proxy for neuronal reproducible dimensionality; its within-brain state changes co-vary in direction

Perturbational complexity is measured from field potentials, yet the quantity of interest lives in neuronal populations. Whether the field-level measurement reflects the reproducible richness of the underlying spiking activity — or a field-specific shadow — has never been tested,...

The lifetime of the coherent response: sealed laws of its rise, its peak, and its fall

When a recurrent network is perturbed, how long does its stimulus-locked response live? We define T_c as the post-stimulus time by which the coherent (cross-trial-reproducible) response accumulates 80% of its energy, and report its life-cycle as sealed results (public preregistra...

What must a theory of perturbational complexity explain? Nine preregistration-hardened constraints, six dead hypotheses, and a minimal visibility account

Across five preprints, this program measured how perturbational complexity behaves once its estimator is debiased, what quantity it tracks (the reproducible dimensionality of the evoked response, R-dim), and how that quantity depends on dynamics, trial count, species and arousal...

The edge of chaos is the throne of time, not of richness: a sealed dissection of the field's favorite slogan

"Complexity is maximal at the edge of chaos" is among the most repeated claims in the dynamics of neural systems, and our own program confirmed its standard form: debiased perturbational complexity (R-dim, the reproducible dimensionality of the evoked response) traces an inverted...

What must a theory of perturbational complexity explain? Nine preregistration-hardened constraints, six dead hypotheses, and a minimal visibility account

Across five preprints, this program measured how perturbational complexity behaves once its estimator is debiased, what quantity it tracks (the reproducible dimensionality of the evoked response, R-dim), and how that quantity depends on dynamics, trial count, species and arousal...

Field-level perturbational complexity tracks neuronal reproducible dimensionality within brains, not across them

Perturbational complexity is measured from field potentials, yet the quantity of interest lives in neuronal populations. Whether the field-level measurement reflects the reproducible richness of the underlying spiking activity - or a field-specific shadow - had never been tested,...

The mechanics of the inverted-U: an exact linear theory of reproducible dimensionality, and what governs its rise and fall

A companion paper (doi:10.5281/zenodo.22168191, "What must a theory of perturbational complexity explain?") consolidated nine constraints and challenged any theory to pass them — including C3: debiased perturbational complexity (R-dim, the reproducible dimensionality of the evoke...

Debiased reproducible dimensionality is lower under isoflurane than in wakefulness in the same mouse brain, at matched trial counts and stimulation currents

Perturbational complexity distinguishes conscious from unconscious brain states, but companion work by this author showed that the standard estimator (PCIst) partly reflects a selection bias, and that what it tracks is the response's reproducible dimensionality (R-dim), estimated...

An upper bound for the three-colour Ramsey number of the ten-cycle: R(C10,C10,C10) <= 26

We prove that R(C10, C10, C10) <= 26. The best upper bound recorded in theDynamic Survey of Small Ramsey Numbers (DS1, revision 18, April 2026) wasR3(C10) <= 3015, a specialization of a 1975 theorem of Erdos and Graham; thesurvey names R3(C10) as the first open case of Dzido's co...