Publication and edition
- Author
- Mohamed Haj Yousef
- Status
- Public preprint, version 1; not peer-reviewed
- Version
- 1
- Venue or repository
- Preprints.org
- Year
- 2025
- Posted
- 2025-10-08
- DOI
- 10.20944/preprints202510.0579.v1
Preprints.org explicitly labels version 1 as not peer-reviewed and displays the posted date.
Question and construction
The preprint interprets discrete and continuous descriptions as projections of a split-complex temporal framework. It introduces a spectral-triple language for inner-cycle and outer-evolution operators and proposes connections to quantization, Lorentzian structure and spacetime emergence.
Scope of the result
The proposed physical interpretation depends on the selected algebra, operator domains, projection maps and limits. Discrete spectra, continuous evolution and a smooth spacetime are distinct properties. The website’s finite-system and lattice examples illustrate those distinctions without certifying the preprint’s full reconstruction claims.
The public preprint abstract and existing A209 guide were consulted. The quantum, sampling, and Taylor examples are independent explanatory calculations; a complete spacetime reconstruction is not inferred from them.
Read with the site guides
Citation
Haj Yousef, M. (2025). Reconciling Discreteness and Continuity as Complementary Spectral Projections of Complex-Time Geometry in the Single Monad Model. Preprints.org, version 1. https://www.preprints.org/manuscript/202510.0579
Source and version notes
The repository explicitly identifies this version as not peer-reviewed. Title, abstract and displayed version/posting date were checked; a complete proof audit was not undertaken.
The landing page provides the authoritative current version and download controls. No unobserved direct PDF URL has been manufactured.
- Source 1 — Exact title, displayed author, version 1, posted date, unreviewed-version label and abstract.