Jurnal STAI Al-Hamidiyah
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The Nuances of the Orgasm Duration Experience
No full textIn this project, we will explore how different sexual experiences, past and present, alter the orgasm experience and the perception of its duratio
EcoSimLab and EcoDrivingTestPark
No full textThis project accompagnies all publications related to EcoSimLab and EcoDrivingTestPark of the Institute of Multimedia and Interactive Systems at the University of Lübeck. It provides open source material and open access information
Learning on the Job? Foraging Strategies of Juvenile versus Adult Lesser black-backed gulls at Their First Migratory Stopover
No full textAm I self-compassionate, right now? – Validation of the State Self-Compassion Scale in German speaking samples
No full textNeff et al. (2021) developed the State Self-Compassion Scale (SSCS). Our purpose is to translate the SSCS into German, to replicate the results found and to provide further evidence for its validity by conducting a series of studies on German speaking samples
Immune Cells Influence Chronic Spontaneous Urticaria by Inflammatory Proteins: Mendelian Randomization and Bioinformatics Analysis
No full textFractal-to-Classical Spacetime Transition: IFS, DSI, and a Hausdorff Sigmoid toward FLRW Part One, General Information
No full textThis exploratory study introduces a fractal-to-classical transition model of spacetime, built on Iterated Function Systems (IFS) and the Banach fixed-point theorem. At the Planck scale, the metric is defined by a contractive fractal attractor leading to a compact, self-similar geometry. The model predicts a sigmoidal evolution of the Hausdorff dimension (≈ 2 → 4) describing the emergence of classical spacetime, accompanied by log-periodic oscillations (Discrete Scale Invariance, DSI). These oscillations, linked to Tsallis entropy, are proposed as testable imprints in the primordial spectrum and late-time cosmology (Hubble tension, Euclid/LiteBIRD). By substituting the inflaton field with a geometric dimensional transition, the framework offers a falsifiable and purely geometric interpretation of inflation and cosmic expansion. This work bridges multifractional gravity, causal dynamical triangulations, and spectral-Dirichlet formalisms toward a unified description of quantum-to-classical spacetime emergence.
Keywords: fractal spacetime, Hausdorff dimension, IFS, Banach theorem, DSI, Tsallis entropy, multifractional cosmology, quantum gravity, FLRW, Hubble tension.
Cette étude exploratoire propose un modèle de transition fractale–classique de l’espace-temps, fondé sur les systèmes d’itérations de fonctions (IFS) et le théorème du point fixe de Banach. À l’échelle de Planck, la métrique est décrite comme un attracteur contractant auto-similaire, induisant une compacité géométrique fractale et une évolution sigmoïdale de la dimension de Hausdorff (≈ 2 → 4). Ce passage génère des oscillations log-périodiques (invariance d’échelle discrète, DSI) reliées à l’entropie de Tsallis, susceptibles de laisser des signatures observables dans le spectre primordial (Euclid, LiteBIRD) et la cosmologie tardive (tension de H₀). En substituant le champ d’inflaton par une transition dimensionnelle géométrique, ce cadre offre une interprétation falsifiable de l’inflation et de l’émergence du continu cosmologique. L’approche relie ainsi les théories multifractionnelles, la triangulation causale dynamique (CDT) et les formes de Dirichlet spectrales, vers une description unifiée de l’espace-temps quantique.
Mots-clés : espace-temps fractal, dimension de Hausdorff, IFS, théorème de Banach, DSI, entropie de Tsallis, cosmologie multifractionnelle, gravité quantique, FLRW, tension de Hubble