Ψ-Continuum Observe
Constrain the expansion history H(z) using Type Ia supernovae (SN Ia), baryon acoustic oscillations (BAO) and expansion-rate measurements, with their uncertainties.
Late-Time Cosmology · Open Computational Research
Ψ-Continuum
From Cosmic Expansion Diagnostics
to Effective Gravitational Sources
What can cosmic expansion reveal about gravity?
Ψ-Continuum investigates whether the observed late-time expansion of the Universe differs from the standard ΛCDM model, and what effective gravitational sources could correspond to such differences under explicitly stated assumptions of general relativity.
Observation → reference-relative diagnosis → conditional physical interpretation
01 / Research Question
A reference model.
A question for the data.
Observations support an accelerated late-time expansion of the Universe. The standard ΛCDM model describes this history using a cosmological constant, cold dark matter and ordinary matter within general relativity.
Testing possible departures asks how well that description holds across datasets. A deviation alone does not establish new physics: reference parameters, measurement uncertainty and systematic effects must be checked before interpretation. Follow the method →
02 / Methodology
From Data to Physics
Diagnose
Represent departures from a specified reference with the macroscopic state-space coordinate Ψ(z). The result depends on the reference model and its parameters.
Reconstruct
Use Einstein’s equations within an explicitly specified FLRW cosmology to infer compatible effective energy density and pressure. State curvature, matter content and reconstruction assumptions.
For a ΛCDM baseline, Href(z) = HΛCDM(z): the same reference-relative diagnostic definition used in the framework.
Expansion history H(z)
Relative deviation Ψ(z)
ΛCDM referenceIllustrative alternativeZero deviation
Schematic illustrations only — synthetic curves, not observational data, fitted results or a measured detection. Both panels describe the same illustrative departure.
Interpretation has limits. Ψ(z) is a diagnostic coordinate, not a new physical field or evidence for modified gravity. An effective source reconstruction does not identify a unique microscopic mechanism.
03 / Ψ-Graph · Interactive Research Explorer In Development
Explore the Structure of the Research
Ψ-Graph is an evolving interactive map connecting the research history, mathematical definitions, computational implementations, tests, and scientific evidence behind Ψ-Continuum.
- 01Research Evolution
- 02Mathematical Framework
- 03Computational Audit
- 04Effective GR Reconstruction
These are navigation topics, not a sequence of established physical connections.
Public interactive access is not yet available. For now, follow the publication history, theoretical framework and computational audit.
Reproducibility & model consistency · September 2026
Results & Scientific Audit
A systematic reproducibility and model-consistency audit of the frozen Psi-Continuum v2 numerical implementation has been completed.
What was reproduced
The audit confirms that the archived numerical pipeline is internally reproducible. Non-zero-amplitude preferences belong to the implemented frozen model, not the documented v2 equation.
The original v2 repository remains frozen and unchanged to preserve the scientific record. The separate audit provides the full numerical trace, validation scripts, and results.
What remains unresolved
The model–implementation mismatch is established: for non-zero response amplitude, the frozen implementation does not correspond to the defining equation documented for v2.
A scientifically interpretable inference for the documented equation requires a separately specified analysis with consistent supernova calibration and BAO conventions. Reproducibility of the frozen pipeline does not resolve this inference.
Future Ψ-Continuum studies require independently specified, data-validated and fully traceable computational investigations.
This audit concerns the frozen v2 implementation; it does not validate every stage of the research program or establish new physics.
Open research means public preprints, repositories, documented pipelines and reproducible tests. Frozen releases preserve the record; new studies require their own specifications and validation.
Research software & archival releases
Main preprint:
Psi–Continuum Cosmology v5
Computational package:
psi-continuum-v2
Independent v2 audit:
psi-continuum-v2-audit
State-space package:
psi-continuum-statespace
Demonstration repository:
psi-continuum-experiments
RESEARCH EVOLUTION
Research Evolution & Publications
The historical sequence is not a chain of confirmed physical discoveries. Each version and its numerical dependencies must be assessed on its own terms. Read the complete preprint history →
Published v5 preprint: Psi–Continuum Cosmology v5 · DOI: 10.5281/zenodo.18088720
Researcher & Additional Programs
About the Researcher
Academic Activities
Peer review · Research projects · Publications and preprints
Peer Review
2026 — Reviewer for the European Journal of Computer Sciences and Informatics (one manuscript reviewed, October 2026).
Research Projects
Psi-Continuum — Independent research in late-time cosmology, state-space diagnostics, and reproducible computational analysis. Research overview →
Publications and Preprints
Psi–Continuum Cosmology v5 — research preprint (Zenodo).
Conceptual Notes
For students and readers approaching the framework: intuitive state-space language and exploratory interpretations of geometry, stability, relaxation and effective response.
Notes examine effective forces, entropy, geometric relaxation, non-equilibrium interpretation and falsifiability. These conceptual directions are not established physical results.
Read conceptual notes →arXiv Endorsement
Experimental Program & KTRO Observatory
Observational layer · measurement stability · reproducible monitoring
Alongside theoretical and computational work, the Psi-Continuum framework also includes an emerging observational program centered on measurement stability, long-term reproducibility, and response-based diagnostics in real data.
A central part of this direction is KTRO — Klimov Tarpen Robotic Observatory, a compact observational initiative designed to support differential photometry, monitoring consistency, and small-scale experimental validation of response-oriented methods.
This observational layer connects the conceptual framework to real measurement practice and extends the project beyond theory and computation alone.
Experimental program documentation → · Demonstration repository
Contact
For research communication, collaboration, academic discussion, and arXiv endorsement requests: d.klimov.psi@gmail.com