Research works

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...

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...

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...

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...

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...

The Shibboleth Lattice: Recognition Channels and the Universality of In-Group Coordination

Coalition behavior in multi-agent systems appears across four canonical substrates: quantum entanglement, evolutionary covert-tag recognition, engineered handshake codes, and emergent relational memory in frontier language models, plus two boundary cases. These are treated as ins...

Same Axis, Different Place: How Middlegame Style Shifts Across the Expertise Gradient

A companion study found that elite male and female titled chess players differ in multivariate middlegame style, but it could not test how style changes with skill. Open FIDE titles are rare below 2000 Elo, so the skill-by-sex interaction was underpowered. This paper isolates the...

Zero-Interference Associative Recall in a Single Linear Recurrent Language Model: Frozen Stable Keys, a Trigger Gate, and Decoupled Training

Autoregressive language modeling must do two things at once: compress a mostly-local context into a state that drives fluent next-token prediction, and, on occasion, re-encounter a previously seen key and emit the exact value bound to it. Linear-time recurrent and state-space mod...

Reading Guide to the DROS Dual-Track Research Trajectory: 6-Paper Execution Program & Foundational Semantic Prehistory / DROS 雙軌學術研究軌跡全景導讀:6-Paper執行強制主軸與語意前傳

This Technical Note provides an overarching reading guide to the DROS Dual-Track Governance Architecture, systematically unifying cognitive intent governance with downstream deterministic execution enforcement. It spans the semantic layer prehistory (Constraint-as-Code and DROS v...

Dietary Fibre, Inflammageing, and Vitamin D-Related Gene Expression in Skin (INGUTSKIN)

Poster presented at NuGOweek 2026 (Olsztyn, Poland), 01 September 2026, Session 3: Microbiome Dynamics in Healthy Aging (poster session 1). v2: Corrected a typo in the Results section (Fig. 1) and corrected a formatting issue in the References. No scientific or substantive conten...

The Depths of Windows Virtualization (Part 3) — Virtual Machines That Boot in Seconds: Why WSL2, Windows Sandbox, and Containers Are So Light (archived 2026-09-07)

Why WSL2 and Windows Sandbox boot in seconds and stay light: dynamic base images, direct map, dynamic memory allocation, and Hyper-V isolated containers explained. Archived version of https://comcomponent.com/en/blog/windows-virtualization-internals-wsl2-sandbox-containers/, as p...

Named Pipes in Practice — Windows' Standard IPC from Design to Security (archived 2026-09-07)

A practical guide to named pipes, Windows' standard IPC. Covers byte vs. message mode, servers that handle multiple clients, ACL and impersonation security, and .NET's named-pipe stream classes, from primary sources. Archived version of https://comcomponent.com/en/blog/windows-na...

The support wave of Rule 30: exact anatomy of an irreducible pattern (with companion papers on local grammars, arrows of time, and the odometer structure)

Three companion papers on the regular flank of elementary cellular automaton Rule 30, with all verification scripts and data. Flagship (flagship.pdf): the support-wave calculus in the Lucas basis — OEIS A094604 characterised exactly as odometer carries of the support crest; front...

Paper CCXXI: Brane Fountain / Casimir Paper CCXXI — The Brane Fountain and Quantum Mechanics: Heisenberg Uncertainty, Virtual Particles, and Casimir Effect — v2: with a temporal-entanglement bridge

All quantum uncertainty phenomena arise from the brane fountain: continuous renewal of focal-zone standing waves by the brane current. The Heisenberg principle ΔxΔp ≥ ℏ/2 follows from the Planck grain ℓP and renewal rate c/ℓP. The Casimir force is enhanced by (1 + f_bulk) = 1.036...

The Standard Cosmology as Theorem of GG-Theory: The Cosmic Inventory as Observations of One Six-Dimensional Geometry

For forty years the standard model of cosmology, ΛCDM, has described the universe with breathtaking precision and explained almost none of it: a handful of numbers, read off the sky, reproduce everything — yet the theory cannot say why those numbers take the values they do. This...

The GG-6 Lock Cluster: A Non-Spatial Kaluza–Klein Resonance near 3.85 TeV as the Standing LHC Falsifier of GG-Theory

Every particle discovered since the mid-1970s — the W and Z, the top, the Higgs — was on the Standard Model's list before it was found. This paper is about the first particle that is not on that list. GG-Theory derives, rather than fits, a new mass scale: the lock cluster at M_lo...

GG-Theory with GG-6: Geometry–Gauge Locking at the 6D Bulk (GG-6) at the Heart of Grand Geometric Theory (GG-Theory)

Gravity is the shape of spacetime. The other three forces are not: they are rules attached on top of spacetime rather than properties of it, and physics has kept these two kinds of law in separate boxes for a hundred years. This paper closes the gap by making them two faces of on...

Anomaly Freedom of BI-6: The Modified Bianchi Identity (BI-6) for the Six-Force, Six-Dimensional Bulk (GG-6)

For half a century a quantum anomaly has been described as a flaw that shows up only when a classical symmetry is run through the quantum machine. This paper makes the opposite case: the anomaly is, at bottom, a classical and geometric fact about a higher-dimensional space, and t...

The Standard Model as Theorem of GG-Theory: Its 28 Parameters as Observations of One Six-Dimensional Geometry

The Standard Model is the most successful theory ever built and the most unsatisfying: it predicts experiment to extraordinary precision, yet cannot say where its own numbers come from. Twenty-eight quantities — particle masses, force strengths, mixing angles — must be measured a...

One Integer for Semantic Work and Materialization: A Mechanized, Content-Addressed Combinator Machine over Term, Budget and Content Environment, and the Engineering of Trustworthy Proof Artifacts

We present Σ-GLYPH Book I, a content-addressed combinator machine in which a single unsigned integer budget — ATP — prices both the semantic work an evaluation performs and the peak number of nodes it materializes, and we report a layered Lean 4 mechanization of it. Three framing...