Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Recurso digital |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
Zenodo
2026
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://doi.org/10.5281/zenodo.19165385 |
| Các nhãn: |
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Mục lục:
- <p>What does fractal-spectral spacetime predict for the largest structures in the universe and for the thermodynamics of matter within them?</p> <p>For the cosmic web, the framework predicts a galaxy two-point correlation function slope γ = 3 − √2 ≈ 1.586, derived from the fractal structure of spacetime — consistent with observed values (γ_obs ≈ 1.6 ± 0.05) without parameter fitting. The distinctive prediction beyond ΛCDM is a log-periodic modulation of ξ(r) with the universal period Δln r ≈ 18.1, detectable with next-generation galaxy surveys. The matter power spectrum acquires √2-periodic corrections localized around fractal characteristic scales, additive to ΛCDM (preserving BAO features and the standard shape). The void size distribution follows a power-law index √2 − 4 ≈ −2.59, consistent with observed values (−2.5 to −2.7).</p> <p>For thermodynamics, phase transitions are reinterpreted as frequency synchronization cascades in the collective vibrational modes of matter. The paper honestly reports a tension: naive fractal critical exponents (ν ≈ 0.707, γ ≈ 1.500) disagree with precision 3D Ising measurements (ν = 0.6300, γ = 1.2372) by 12–21%, with a sign change in α. The resolution is that fractal corrections must be perturbative — standard universality classes are preserved with small log-periodic modulations around the standard critical behavior. The testable prediction is not modified exponents but log-periodic corrections to scaling near T_c, with the same universal period ln√2.</p> <p>Fast radio burst dispersion measures receive a fractal correction δDM/DM ~ 10⁻⁵ from temporal gradient structure along the sightline — consistent with recent baryon detection results (Connor et al. 2025) but undetectable at current precision.</p> <p>Falsification criteria are explicit: if Euclid/LSST find no log-periodic modulation at amplitude A₁ > 0.005 in the correlation function, the large-scale structure predictions are ruled out. If precision critical exponent measurements show no log-periodic modulations at the 10⁻⁴ level, fractal corrections to thermodynamics are negligible.</p>