Dmitry Vasilevich Klimov

Independent Researcher • Psi-Continuum Framework

Kaliningrad – Königsberg • d.klimov.psi@gmail.com

About Me

I am an independent researcher from Kaliningrad working on late-time cosmology and the physics of non-equilibrium systems.

My main focus is the development of the Psi-Continuum framework — a macroscopic response-based approach defined directly from observational expansion history $H(z)$ measurements, providing a compact diagnostic representation of late-time expansion.

Rather than introducing new fields or modifying gravity, the framework asks whether certain features of cosmic expansion may admit an effective macroscopic reinterpretation in terms of geometry, stability, and relaxation.

My work follows strict standards of reproducible scientific methodology, and all numerical tests, cosmological likelihoods, and datasets associated with the computational releases are fully open-source.

A conceptual overview of the Psi-Continuum framework is available on the preprints and conceptual overview page.

Research Framework

Data-driven interpretation · state-space diagnostics · reproducible computation

The Psi-Continuum framework combines a conceptual state-space interpretation of late-time cosmological data with a reproducible computational pipeline for testing deviations from the $\Lambda$CDM baseline.

At the interpretational level, the framework introduces a minimal diagnostic coordinate:

$$\Psi(z) \equiv \frac{H(z)}{H_{\Lambda \mathrm{CDM}}(z)} - 1$$

This coordinate does not introduce new physics. It provides a compact way to interpret observational expansion data in terms of geometry, stability, and relaxation.

Conceptual notes: State-space interpretation and conceptual notes
Preprints and overview: Psi-Continuum preprints

At the formal level, Psi-Continuum Cosmology v5 develops a macroscopic state-space formulation in which cosmological data are interpreted as trajectories in a response space $\Psi(z)$.

  • state-space diagnostic variable $\Psi(z)$
  • interpretation of expansion as geometric relaxation
  • no new fields and no modified gravity
  • $\Lambda$CDM recovered as the $\Psi = 0$ limit
  • consistent description across SN, H(z), and BAO datasets
Preprint (Zenodo): Psi–Continuum Cosmology v5
Documentation: psi-continuum-statespace
Source code: github.com/dmitrylife/psi-continuum-statespace

At the computational level, Psi-Continuum v2 provides an open-source package for testing the $\Psi$CDM framework against modern cosmological datasets.

  • $\Lambda$CDM and $\Psi$CDM background solvers
  • full likelihood pipeline: SN Ia, H(z), BAO (SDSS + DESI)
  • joint $\chi^2$ comparison tools
  • $\varepsilon_0$ parameter scanning
  • publication-ready figure generator
  • interactive CLI for new users
Documentation (PyPI Package): psi-continuum-v2
Source code: github.com/dmitrylife/psi-continuum-v2

Together, these layers define the conceptual, diagnostic, and computational core of the Psi-Continuum research program.

Research Topics

Experimental Program

Alongside theoretical and computational work, the Psi-Continuum framework includes a small-scale observational pilot program focused on measurement consistency and long-term reproducibility.

The program is based on differential photometry of variable stars and is designed to examine instrumental stability, cross-epoch consistency, and reduction-pipeline robustness.

The program is currently being extended toward semi-automated long-term monitoring through KTRO (Klimov Tarpen Robotic Observatory) — a developing compact observational setup focused on reproducible differential photometry and long-term instrumental stability diagnostics.

Documentation: overview · quick start · KTRO

Companion Demonstrations

In addition to cosmological analyses, the Psi-Continuum framework includes small-scale computational and observational demonstrations designed to evaluate response-based diagnostic methods on well-understood macroscopic systems.

The first example is a tidal response experiment based on tide-gauge sea-level data. It illustrates how phase shifts, dissipation, and residual dynamics can be isolated using the same diagnostic principles employed in the cosmological state-space formulation.

Source code and reproducible pipeline: psi-continuum-experiments (GitHub)

Reproducible: clone → run → diagnostic figures and metrics.

This tidal experiment serves as the first demonstrator in a broader response-diagnostics program for macroscopic physical systems.

Links