Zapisane w:
| Główni autorzy: | , |
|---|---|
| Format: | Recurso digital |
| Język: | angielski |
| Wydane: |
Zenodo
2025
|
| Hasła przedmiotowe: | |
| Dostęp online: | https://doi.org/10.5281/zenodo.15538573 |
| Etykiety: |
Dodaj etykietę
Nie ma etykietki, Dołącz pierwszą etykiete!
|
Spis treści:
- <p><strong>The wave function:</strong> ψ_universe(t)</p> <p>In the <strong>Fractal Bindu (S³)</strong> <strong>of Reality</strong> offers a paradigm shift in our understanding of cosmology.<br>Unlike ΛCDM, which relies on empirically fitted parameters, this model emerges from a single, mathematically coherent framework: a <strong>compact, three-dimensional sphere (S³)</strong> where energy, space, and time evolve through fractal self-organization.</p> <p>Rooted in the <strong>golden ratio</strong> φ ≈ 1.618</p> <p>This theory replaces arbitrary cosmological constants with a natural, recursive structure that predicts the evolution of energy density <strong>without dark energy.</strong></p> <h3>The Universe unfolds in two fundamental phases:</h3> <p><strong>1. Pre-recombination fractal expansion:</strong><br>R(t) = l_P · φ^(N(t))<br>where N(t) is the discrete fractal level at time t.</p> <p><strong>2. Post-recombination exponential growth:</strong><br>R(t) = R_rec · e^(H(t − t_rec))<br>where energy remains fixed at<br>E_total = 7.21 × 10^69 J.</p> <h3>This leads directly to the precise observed values:</h3> <p><strong>Today’s critical density:</strong><br>ρ_today = 7.74 × 10^-10 J/m^3</p> <p><strong>CMB radiation density:</strong><br>ρ_rad = 4.64 × 10^-31 J/m^3</p> <p><strong>Current observable Universe radius:</strong><br>R_today = 1.305 × 10^26 m</p> <p>Unlike ΛCDM, which introduces Ω_Λ and Ω_m as empirical corrections,<br>this model derives the correct density evolution <strong>from first principles</strong>, eliminating the need for dark energy.<br>It also correctly predicts intermediate density transitions (e.g., at z = 1) in agreement with <strong>supernova data</strong> and <strong>large-scale structure</strong> measurements.</p> <h3>Refinements and Lessons Learned:</h3> <p>This iteration incorporates insights from rigorous analysis, correcting common misinterpretations:</p> <ul> <li> <p><strong>Energy is fixed</strong> — errors arise when attempting to scale E_total, rather than distributing it across an expanding S³.</p> </li> <li> <p><strong>Fractal scaling applies to radius, not density</strong> — misapplying φ to density directly distorts predictions.</p> </li> <li> <p>The fundamental law remains:<br>ρ(t) = E_total / V(t)<br>ensuring a consistent and self-regulating cosmology.</p> </li> </ul> <p>Through this recursive scaling mechanism, <strong>“Fractal Bindu (S³)”</strong> unites <em>quantum coherence</em>, <em>gravitational lensing</em>, and <em>cosmic acceleration</em> into a single, interwoven framework — one that is <strong>mathematically rigorous, empirically validated, and conceptually elegant.</strong></p> <p>This is more than just a cosmological model — it is a <strong>cohesive vision of the Universe</strong>, where mathematics and physics converge in a structure that is as predictive as it is profound.</p> <p><strong> YouTube Podcast: </strong><a href="https://youtube.com/playlist?list=PLzfwBKN-8IjE25FAYnUFoMCqiEjeJ2DH1&si=9wfMYzlxC_-0TdAL" rel="noopener">FB(S³)R — “The Satsang of Reality”</a></p> <ul> <li> ️<a href="https://www.youtube.com/watch?v=eOxGHJ4N5Hw" rel="noopener">Fractal Sphere of Reality. Foundations of the FB(S³)R Model of the Universe</a></li> <li> ️<a href="https://www.youtube.com/watch?v=IVaPRtxnk5o" rel="noopener">Episode 47-SG: Fractal S³ of Reality. The Golden Ratio as the Principle of Perfection</a></li> </ul>