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| Автор: | |
|---|---|
| Формат: | Recurso digital |
| Мова: | Англійська |
| Опубліковано: |
Zenodo
2025
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| Предмети: | |
| Онлайн доступ: | https://doi.org/10.5281/zenodo.17265335 |
| Теги: |
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Зміст:
- <p>This work establishes a theoretical and phenomenological correspondence between Y. J. Ng’s spacetime-foam uncertainty relation,<br><span><span>δl≳l1/3lP2/3\delta l \gtrsim l^{1/3} l_P^{2/3}</span><span><span><span>δ</span><span>l</span><span>≳</span></span><span><span><span>l</span><span><span><span><span><span><span>1/3</span></span></span></span></span></span></span><span><span>l</span><span><span><span><span><span><span>P</span></span><span><span>2/3</span></span></span><span></span></span></span></span></span></span></span></span>, and the <em>Log-Density Tension Gravity (QFT)</em> framework developed by Bülent Kuşçu.<br>The model interprets gravity not as a fundamental interaction but as an emergent effect arising from spatial gradients of quantum-foam density, described by the logarithmic potential<br><span><span>Φ(ρk)=cg2ln(ρk/ρ0)\Phi(\rho_k) = c_g^2 \ln(\rho_k / \rho_0)</span><span><span><span>Φ</span><span>(</span><span><span>ρ</span><span><span><span><span><span><span>k</span></span></span><span></span></span></span></span></span><span>)</span><span>=</span></span><span><span><span>c</span><span><span><span><span><span><span>g</span></span><span><span>2</span></span></span><span></span></span></span></span></span><span>ln</span><span>(</span><span><span>ρ</span><span><span><span><span><span><span>k</span></span></span><span></span></span></span></span></span><span>/</span><span><span>ρ</span><span><span><span><span><span><span>0</span></span></span><span></span></span></span></span></span><span>)</span></span></span></span>.<br>This single-field approach reproduces both Newtonian and MOND-like limits, achieving excellent agreement with the SPARC galactic rotation curves<br>(<span><span>R2≈0.99R^2 \approx 0.99</span><span><span><span><span>R</span><span><span><span><span><span><span>2</span></span></span></span></span></span></span><span>≈</span></span><span><span>0.99</span></span></span></span>, 175 galaxies, >3000 points).<br>At cosmological scales, the <em>FORK v5</em> embedding yields a dynamic vacuum correction<br><span><span>Λeff(z)=Λ0[1+αln(1+z)]\Lambda_{\text{eff}}(z) = \Lambda_0 [1 + \alpha \ln(1+z)]</span><span><span><span>Λ<span><span><span><span><span><span><span>eff</span></span></span></span><span></span></span></span></span></span><span>(</span><span>z</span><span>)</span><span>=</span></span><span><span>Λ<span><span><span><span><span><span>0</span></span></span><span></span></span></span></span></span><span>[</span><span>1</span><span>+</span></span><span><span>α</span><span>ln</span><span>(</span><span>1</span><span>+</span></span><span><span>z</span><span>)]</span></span></span></span>,<br>reducing the Hubble and <span><span>S8S_8</span><span><span><span><span>S</span><span><span><span><span><span><span>8</span></span></span><span></span></span></span></span></span></span></span></span> tensions by up to 85%.<br>The model remains compatible with General Relativity in the weak-field limit and predicts measurable deviations in precision experiments,<br>including atom-interferometric phase shifts<br>(<span><span>δϕ∼10−8\delta \phi \sim 10^{-8}</span><span><span><span>δ</span><span>ϕ</span><span>∼</span></span><span><span>1</span><span>0<span><span><span><span><span><span>−8</span></span></span></span></span></span></span></span></span></span> rad / √Hz) and Casimir corrections near the sub-millimeter scale.<br>This unified micro–macro framework bridges quantum-foam phenomenology, galactic dynamics, and cosmology under a single, testable formulation.</p>