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Theoretical & Mathematical Model Hub

⚠️ Important Scientific & Methodological Disclaimer

This project is solely a thought-provoking, schematic visualization serving as the preliminary first step for preparing a more advanced project.
Neither the descriptions presented here nor the animation can be considered a correct, physically accepted model.
The visualizations and related theoretical descriptions are thought experiments and didactic tools; they do not represent an experimentally validated or canonical scientific theory.

This document provides a concise, structured overview of the theoretical framework behind the Universal Quantum Visualisation System. It bridges micro- and macro-physics across scales from the atomic level (\(10^{-10}\,\mathrm{m}\)) down to the Planck length (\(\ell_P \sim 10^{-35}\,\mathrm{m}\)).

Epistemological Classification Taxonomy

To ensure scientific integrity, all statements within the model are categorized: 1. [Standard Physics / Accepted Theory]: Established, experimentally verified physics (Schrödinger equation, QED propagators, Franck–Hertz inelastic scattering, spontaneous Lyman-α emission, weak-field linearized Einstein equations, SU(3) color confinement, Mössbauer effect, Pound–Rebka gravitational redshift). 2. [Model-specific Hypothesis]: Theoretical synthesis developed in this project and the pedia repository (Deák 5D scale manifold \(\rho = \ln(r/a_0)\), microscopic phase defect \(\Delta\theta \sim \ell_P / \lambda_C\) inducing Newton's constant \(G\), and the Heisenberg–Fermi quantum hard core repulsive barrier \(+1/r^3\)). 3. [Illustrative Metaphor]: 3D WebGL pedagogical visual representations (Kerr ring singularity throat as a zoom conduit, 3D projection of the 6D Calabi–Yau manifold, glowing virtual photon filaments, and the Janus antimatter \(r < 0\) metric).

Architecture of Theoretical Modules

flowchart TD
  Hub["Theoretical-Mathematical Model Hub"]

  P1["1. Quantum Mechanics & Shells<br/>Schrödinger equation, stability, spin topology"]
  P2["2. Scattering Continuum & QED<br/>Franck–Hertz, virtual photons, Lyman-α"]
  P3["3. Nucleon, Hadrons & Nuclear Forces<br/>SU(3) flux tubes, Mössbauer effect, DIS"]
  P4["4. Gravitation & Vacuum Sheet<br/>Linearized Einstein metric, wavefront r = ct"]
  P5["5. Deák Spacetime & Unified Field-Gravity<br/>5D scale fibre, Sakharov elasticity, hard core"]
  P6["6. Topology, D-Branes & Extreme Fields<br/>Kerr throat, Calabi-Yau, Schwinger, Hutchison"]

  Hub --> P1
  Hub --> P2
  Hub --> P3
  Hub --> P4
  Hub --> P5
  Hub --> P6

Detailed Thematic Sub-Pages (Hungarian Primary Reference)

  • 📖 01. Quantum Mechanics, Orbitals and Atomic Stability: Stationary states, analytical solutions of the Schrödinger equation, Heisenberg localization barrier as the true physical ground for stability, \(SU(2)\) double-cover spin topology.
  • 📖 02. Scattering Continuum, QED Vertex and Lyman-α Emission: Inelastic electron scattering, off-shell virtual photons (\(Q^2 > 0\)), electric dipole selection rules (\(\Delta l = \pm 1\)), spontaneous decay probability, on-shell vacuum UV photon (\(\lambda = 121.57\,\mathrm{nm}\)), and exact energy conservation (\(15.0\,\mathrm{eV} = 4.8\,\mathrm{eV} + 10.2\,\mathrm{eV}\)).
  • 📖 03. Nucleon Interior, Nuclear Forces and Partons: Collective nuclear shell and Yukawa pion exchange, proton/neutron valence quark structure (\(uud\)/\(udd\)), \(SU(3)_C\) color confinement, Y-shaped flux tubes, Bjorken scaling in deep inelastic scattering, and Mössbauer recoilless resonance.
  • 📖 04. Gravitation, Spacetime Curvature and Vacuum Dynamics: Linearized General Relativity, vacuum sheet sagging (\(\delta g_{00} \approx +2GM/c^2r\)), atomic dynamic mass increase (\(\Delta M = 10.2\,\mathrm{eV}/c^2\)), light-speed gravitational wavefront (\(r = ct\)), Pound–Rebka experiment, and critical analysis of gravity reversal.
  • 📖 05. Deák Spacetime and Unified Field-Gravity Theory: 5D Deák manifold (\(d\hat{s}^2 = e^{2\sigma} g_{\mu\nu} dx^\mu dx^\nu + \lambda_C^2 d\rho^2\)), Weyl gauge fixing via Dirac mass, absence of ether wind (Lorentz invariance and QRF scale-blindness), Sakharov induced gravity, microscopic derivation of \(G\) from phase defect (\(\Delta\theta \sim \ell_P / \lambda_C\)), quantum hard core \(+1/r^3\), and Greco (2026) informational geometry.
  • 📖 06. Higher Dimensions, Topology and Extreme Phenomena: D-branes and open/closed strings, Calabi–Yau compactification 3D projection, Kerr-Schild ring singularity (\(x^2 + y^2 = a^2, z = 0\)), Riemann zeta regularization (\(\zeta(-1) = -1/12\)), Schwinger critical field (\(1.32 \times 10^{18}\,\mathrm{V/m}\)), Janus mirror world (\(r < 0\)), and nonlinear electrodynamics of the Hutchison effect.

Core Quantitative Constants

  • Bohr radius (\(a_0\)): \(0.529177 \times 10^{-10}\,\mathrm{m}\) (atomic scale reference, \(\rho = 0\)).
  • Rydberg ground energy: \(-13.6057\,\mathrm{eV}\).
  • Lyman-α transition energy: \(10.204\,\mathrm{eV}\) (\(\lambda = 121.567\,\mathrm{nm}\)).
  • Reduced Compton wavelength (\(\lambda_C\)): \(3.8616 \times 10^{-13}\,\mathrm{m}\) (conformal fibre quantum rigidity).
  • Planck length (\(\ell_P\)): \(1.616255 \times 10^{-35}\,\mathrm{m}\) (fundamental geometric resolution).
  • Microscopic phase error (\(\Delta\theta\)): \(\approx 4.18 \times 10^{-23}\,\mathrm{rad}\) (\(\ell_P / \lambda_C\)).
  • Excited mass increment (\(\Delta M\)): \(+1.818 \times 10^{-35}\,\mathrm{kg}\) (\(10.2\,\mathrm{eV}/c^2\)).
  • Proton recoil velocity (\(v_{\text{recoil}}\)): \(\approx 3.255\,\mathrm{m/s}\).