Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Recurso digital |
| Sprache: | |
| Veröffentlicht: |
Zenodo
2026
|
| Online-Zugang: | https://doi.org/10.5281/zenodo.18207461 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Inhaltsangabe:
- <div> <div> <ul> <li> <div> <div>Testing Holographic Constraints Across Cosmology, Atomic Structure, and Elementary Particles: Validation of $\lambda_C/r_{\mathrm{hol}} = 4\pi/\alpha$ from Neutrinos to Higgs</div> <div> </div> <div>This work develops a holographic information framework in which spacetime and interactions emerge from a discrete information-processing substrate characterised by four primitive postulates and two experimental inputs.</div> <div> </div> <div>The primitives are the Planck length $l_P$, the speed of light $c$, the reduced Planck constant $\hbar$, and the maximum holographic information density $\eta_P = 1/(4\ln 2)$, constrained by black hole thermodynamics. The electromagnetic sector is anchored by the fine-structure constant $\alpha$ and the elementary charge $e$, treated as high-precision experimental inputs.</div> <div> </div> <div>Within this architecture, Newton's constant is defined as $G = l_P^2 c^3/\hbar$, the vacuum permittivity and permeability $(\varepsilon_0,\mu_0)$ are reconstructed from $(\alpha,e,\hbar,c)$, and the hierarchy between electromagnetic and gravitational forces is rewritten as $F_{\text{em}}/F_{\text{grav}} = \alpha (m_P/m_p)^2$, making the role of mass and charge ratios explicit.</div> <div> </div> <div><strong>KEY UPDATES IN VERSION 4 (internal ref. 6):</strong></div> <div> </div> <div>1. <strong>UNIVERSAL SCALING LAW:</strong> The framework is generalized beyond the electron to all massive Standard Model particles. We derive a universal scaling law governing the ratio between the Compton wavelength $\lambda_C$ and the holographic radius $r_{\mathrm{hol}}$:<br><br>$\frac{\lambda_C}{r_{\mathrm{hol}}} = \frac{4\pi}{\alpha}\left(\frac{m_e}{m}\right)^{3/2}$<br><br>This relation demonstrates that the predicted cosmic expansion rate $H_0$ is invariant with respect to the probe mass, validated across 11 orders of magnitude from neutrinos to the Higgs boson.</div> <div> </div> <div>2. <strong>COSMOLOGICAL PREDICTION:</strong> Linking the informational structure of the electron to the present expansion rate yields a predictive value $H_0 \simeq 74.7\ \text{km s}^{-1}\text{Mpc}^{-1}$ for an observational matter fraction $\Omega_m \simeq 0.30$, resolving the tension with local measurements without using distance ladders.</div> <div> </div> <div>3. <strong>ATOMIC STRUCTURE CORRECTION: </strong>The application to atomic systems is refined by explicitly correcting the binding energy relation to $E_{\text{binding}} = \frac{1}{2}\alpha^2 \mu c^2$ (correcting a transcription error in previous versions). This ensures exact agreement with the Rydberg energy and spectroscopic data for Positronium and Muonium without adjustable parameters.</div> <div> </div> <div>In the present model, cosmological holographic bookkeeping is referenced to the present-epoch Hubble scale</div> <div>$R_H=c/H_0$, while alternative horizon choices are discussed. The framework emphasises parametric reduction, explicit separation between inputs and derived quantities, and the avoidance of circularity.</div> <div> </div> <div>It does not attempt to derive the strong and weak interactions, the cosmological constant, or the value of $\alpha$, but provides a coherent informational architecture that can be tested against future high-precision measurements of $H_0$ and further theoretical developments.</div> <div> </div> <div><strong>RELATED RECORDS:</strong><br> <ul> <li> <p><strong>Unified & Empirical Tests</strong>: <a href="https://zenodo.org/records/18304386" target="_blank" rel="noopener">https://zenodo.org/records/18304386</a></p> </li> <li> <p><strong>Comprehensive Framework:</strong> <a href="https://zenodo.org/records/18207461" target="_blank" rel="noopener">https://zenodo.org/records/18207461</a></p> </li> <li> <p><strong>Executive Summary:</strong> <a href="https://zenodo.org/records/18213776" target="_blank" rel="noopener">https://zenodo.org/records/18213776</a></p> </li> <li> <p><strong>All Version:</strong> <a href="https://zenodo.org/records/18207460" target="_blank" rel="noopener">https://zenodo.org/records/18207460</a></p> </li> </ul> </div> </div> </li> </ul> </div> </div> <div> <ul> <li> </li> </ul> </div>