Universal Non-Hermitian Schrodinger Evolution of Complex Open Systems in an L--T--I Continuum

A generalized stochastic evolution model is formulated for complex open systems represented by directed weighted graphs in a Length–Time–Information (L–T–I) coordinate continuum. Information potential is assigned the model dimension L²T⁻², active mass the dimension L³T⁻², and organizational power the dimension L⁵T⁻⁵. The dynamics combine non-Hermitian spectral operators, Wilson phase connections, structural impedance, nonlinear self-organization, stochastic diffusion, and four adaptive stabilization circuits. The formulation includes amplitude–phase decomposition, boundary classification, spectral-mode reduction, stationary probability distributions, analytical quadratures, exceptional-point corrections, cycle projections, periodic modulation, tensor-train factorization, and a five-component state-verification gate. The mathematical model is distinguished from the physical Schrödinger equation, and its applicability is stated conditionally upon dimensional consistency, operator closure, and experimental calibration. Implications for electromagnetic materials and nuclear processes are examined as hypotheses subject to independent physical conservation laws. No universal equivalence between stochastic organizational dynamics and quantum evolution, or experimentally established nuclear transmutation mechanism, is presumed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-30
DOI
https://doi.org/10.5281/zenodo.23811105
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Universal Non-Hermitian Schrodinger Evolution of Complex Open Systems in an L--T--I Continuum

Mikhail Nazarenko
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Non-Hermitian Physics
preprint

Universal Non-Hermitian Schrodinger Evolution of Complex Open Systems in an L--T--I Continuum

Mikhail Nazarenko
preprint en

Abstract

A generalized stochastic evolution model is formulated for complex open systems represented by directed weighted graphs in a Length–Time–Information (L–T–I) coordinate continuum. Information potential is assigned the model dimension L²T⁻², active mass the dimension L³T⁻², and organizational power the dimension L⁵T⁻⁵. The dynamics combine non-Hermitian spectral operators, Wilson phase connections, structural impedance, nonlinear self-organization, stochastic diffusion, and four adaptive stabilization circuits. The formulation includes amplitude–phase decomposition, boundary classification, spectral-mode reduction, stationary probability distributions, analytical quadratures, exceptional-point corrections, cycle projections, periodic modulation, tensor-train factorization, and a five-component state-verification gate. The mathematical model is distinguished from the physical Schrödinger equation, and its applicability is stated conditionally upon dimensional consistency, operator closure, and experimental calibration. Implications for electromagnetic materials and nuclear processes are examined as hypotheses subject to independent physical conservation laws. No universal equivalence between stochastic organizational dynamics and quantum evolution, or experimentally established nuclear transmutation mechanism, is presumed.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Non-Hermitian Physics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon