Research works

Neurolinguistic signatures of microvariation and language change : Individual production variability predicts morphosyntactic processing differences

This study investigates the neurophysiological and behavioral effects of exposure to grammatical microvariation, focusing on the relationship between individual production patterns and on-line sentence processing. We examine a unique context of ongoing morphosyntactic change in N...

The Modal Triplet Theory Program B4: Typed Encoding Intersections, Conditional Rigidity, and Standard Model Compatibility

We give a typed formulation of encoding intersections and determine when such an intersection is actually rigid. Compatibility means that a declared set of geometric, redundancy, quantum, anomaly, and overlap constraints has at least one common realization. Local rigidity means t...

The Modal Triplet Theory Program C: A Typed Dictionary for Geometric, Bundle, and Operator Realizations

This paper gives a typed realization dictionary for the Modal Triplet Theory (MTT) program. In the canonical physical specialization, the ten-dimensional space is a four-dimensional Lorentzian spacetime times a compact six-dimensional Riemannian internal space. Coordinate factors...

The Modal Triplet Theory Program B5: Relative Saturation, Conditional Extended Carriers, and String-Like Realizations

We replace an absolute notion of encoding saturation by a typed and testable relative notion. A saturation contract specifies a category of candidate realizations, its equivalences, a complete list of constraints and boundary data, and a class of allowed factorizations. A realiza...

Finite-Window Shock Diagnostic Certificates: Jump-Corrected Euler Defects, Uniform Subsolution Gates, and Fixed-Scale Telemetry

## Overview This record releases Version v4.2r3 of a three-paper research set on finite-window PDE diagnostics, conditional shock certificates, and uncertainty-audited finite-scale telemetry. The package separates three logically distinct layers: 1. a proved scalar comparison and...

Universal Perturbative Graph Structure: A Typed Modal Diagrammatics and Its Quantum Boundary

Feynman graphs are used in quantum field theory, classical statistical field theory, stochastic dynamics, and effective descriptions of gravity. Their recurrence has a precise but limited explanation. Once one specifies a nondegenerate quadratic kernel, interaction tensors, a gra...

Admissible Image Geometry for Network Motifs in Modal Triplet Theory Conditional Correlations, Sprout Bounds, and What Projection Alone Does Not Imply

Projection can discard information without selecting a network geometry. This paper develops a rigorous Modal Triplet Theory (MTT) framework in which observable motif constraints are determined from the actual image R = F(A), where A is a declared admissible source domain and F i...

Projection-Limited Coherence: Exact Criteria for Effective Dynamics and a Cross-Domain Research Program

Many sciences replace a detailed state by a smaller set of effective variables. This paper develops a substrate-neutral framework for asking what such a projection does and does not imply. For a measurable source space, dynamics, observation map, admissible domain, and declared m...

Bundle Selection Rules, Anomaly Lines, and Charge Lattices A Conditional Topological Layer for Modal Triplet Theory

Topology can constrain a four-dimensional effective theory, but only after the global gauge group, field representations, internal bundles, zero-mode spaces, coefficient bundles, and contraction maps have been specified. This paper replaces an earlier topology-only argument by th...

The Spectral Action as a Conditional Shadow of Coherent Fixed-Point Geometry A source contract between Modal Triplet Theory and almost-commutative geometry

This paper asks when the Connes–Chamseddine spectral action may be interpreted as a lower-dimensional encoding of Modal Triplet Theory (MTT). The answer is conditional and can be stated precisely. Given a real even finite spectral triple, a compact four-dimensional Euclidean spin...

Parameters, Source Provenance, and Structural Falsifiability in Modal Triplet Theory An Auditable Identifiability Ledger

A parameter count is meaningful only relative to a model, a physical tier, a choice of observables, a quotient by redundancies, and a rule separating construction data from held-out tests. This paper rebuilds the parameter and falsifiability account of Modal Triplet Theory (MTT)...

Twistor Encodings as a Conditional High-Coherence Corner of MTT: Conformal-spin geometry, controlled reduction, and the limits of the bridge

Twistor methods encode important four-dimensional massless, conformal, and self-dual field sectors in holomorphic geometry. This paper asks a narrower MTT question: when may an already selected coherent sector be represented by such twistor data? The answer requires two logically...

Horizons, Capacity Bounds, and Entropy in Modal Triplet Theory: A Conditional Interface with Black-Hole Thermodynamics

This paper determines exactly what coherence-capacity data can and cannot establish about horizons and entropy in Modal Triplet Theory (MTT). A zero of a declared capacity certificate is a failure boundary for that certificate. It is not, by itself, an event horizon, a trapped su...

ETH and Many-Body Localization Through an Operational Basin Diagnostic A Model-Dependent Bridge with Exact Coarse-Dynamics Identities

This paper replaces a proposed universal equivalence among eigenstate thermalization, many-body localization, and projection-induced basins by a model-dependent operational bridge. We fix a finite random-field XXZ chain, an energy window, an initial-state class, and a family of l...

Worldsheet and Spacetime Consistency as a Conditional Diagnostic Square: Sigma-model beta functions, target-space equations, and the MTT source contract

Perturbative string theory supplies a precise relation between two-dimensional Weyl consistency and target-space field equations. At leading order the metric beta function contains the Ricci tensor, but the complete statement also involves the antisymmetric tensor, dilaton, renor...

Photons, Entanglement, and Null Updating in Modal Triplet Theory: A Conditional Maxwell-to-Encoding Analysis

This paper gives a typed account of photons in Modal Triplet Theory (MTT). The effective spacetime is a four-dimensional Lorentzian manifold Y4, while the candidate upper carrier is written Y4 x X6. The internal factor does not by itself select electromagnetism. A photon analysis...

Electromagnetic Helicity from an Induced Line Connection Exact Chern–Simons Identities and a Conditional MTT Encoding

A smooth rank-one orthogonal projector on a Hermitian bundle defines a line subbundle and an induced unitary connection. This elementary construction provides a precise setting in which Berry curvature, Abelian Chern–Simons functionals, magnetic helicity, and Hopf invariants can...

A Covariant Effective Model for Coherence-Capacity Cosmology: Equations, Degeneracies, and Observational Tests

This paper replaces an earlier heuristic cosmology with a covariant effective-model interface. Coherence capacity in Modal Triplet Theory is an admissibility margin; by itself it does not determine a spacetime metric, expansion, acceleration, a causal horizon, a cosmological sing...

Particles and Forces as Conditional Coherence-Basin Encodings: Effective actions, centroid laws, and the limits of capacity gradients

This paper examines a concrete MTT proposal: localized persistent structures may be represented as coherence basins, while their effective motion may be described by capacity-dependent forces. The basin part is viable only after a map from effective state space to spatial observa...

Measurement-Induced Entanglement Transitions and Basin Diagnostics Instruments, First Passage, and Protocol Limits

This paper replaces a universal identification of measurement-induced phase transitions, collapse thresholds, basin loss, and Zeno or anti-Zeno behavior by a typed, model-dependent framework. A hybrid monitored circuit is specified by its Hilbert space, unitary layers, measuremen...