Universal Fractal Collapse Constant ∂ ≈ 0.921 ∂≈0.921: Evidence Across Physical Phenomena

We propose that the magnitude of dimensional collapse, defined as ∂=3−df\partial = 3 - d_f∂=3−df, where dfd_fdf is the effective fractal spatial dimension, exhibits a universal behavior across a wide range of physical systems. Through analysis of gas diffusion, cosmic microwave background (CMB) anisotropies, superconductivity, large-scale structure (LSS), and black hole simulations, we consistently observe ∂≈0.921±0.01\partial \approx 0.921 \pm 0.01∂≈0.921±0.01. This suggests the existence of a universal fractal collapse constant underlying emergent geometry in nature and supports the Unified Fractal-Stochastic Model (MFSU).

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-07-20
DOI
https://doi.org/10.5281/zenodo.16189943
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Universal Fractal Collapse Constant ∂ ≈ 0.921 ∂≈0.921: Evidence Across Physical Phenomena

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Universal Fractal Collapse Constant ∂ ≈ 0.921 ∂≈0.921: Evidence Across Physical Phenomena

article en

Abstract

We propose that the magnitude of dimensional collapse, defined as ∂=3−df\partial = 3 - d_f∂=3−df, where dfd_fdf is the effective fractal spatial dimension, exhibits a universal behavior across a wide range of physical systems. Through analysis of gas diffusion, cosmic microwave background (CMB) anisotropies, superconductivity, large-scale structure (LSS), and black hole simulations, we consistently observe ∂≈0.921±0.01\partial \approx 0.921 \pm 0.01∂≈0.921±0.01. This suggests the existence of a universal fractal collapse constant underlying emergent geometry in nature and supports the Unified Fractal-Stochastic Model (MFSU).

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Openalex Percentile: Top 54%
Advanced Mathematical Theories and Applications
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.