Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Recurso digital |
| Lingua: | |
| Pubblicazione: |
Zenodo
2026
|
| Accesso online: | https://doi.org/10.5281/zenodo.19805868 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866902224309846016 |
|---|---|
| author | An, Haizhong |
| author_facet | An, Haizhong |
| contents | <p>We propose a framework based on \textbf{a single original element}: a \emph{nearest-neighbor attraction rule} for discrete field quanta, structurally isomorphic to van der Waals forces, nuclear binding, the Casimir effect, and Bose--Einstein condensation. From this one rule we derive a continuous topological soliton whose energy is distributed throughout space, a Lagrangian whose continuum limit is the non-linear Klein--Gordon equation with Lorentz invariance as a mathematical theorem, and a concrete mechanism for quantum measurement (\emph{nonlinear topological unbinding}) that reproduces the Born rule from field-quantum counting. The framework recovers Newtonian gravity ($1/r^2$ from flux conservation) and the strong confining force (constant force from vacuum pressure on amplitude-gradient flux tubes, verified in a 225-parameter numerical sweep), both derived from the same Lagrangian. For the electromagnetic interaction, the framework provides a mechanism for emergent $U(1)$ gauge structure: Berry connections on the three-component field's $\mathbb{C}P^1$ moduli space yield non-vanishing field strength $F_{\mu\nu} \neq 0$ (verified numerically in 2D), and the Polyakov one-loop quantization generates dynamical Maxwell equations. The emergent coupling constant $\alpha_{\text{em}}$ depends sensitively on the soliton profile and its precise value remains an open problem requiring a self-consistent vortex-ring solution. Numerical evidence supports the spin-stabilization mechanism for closed vortex rings: the equilibrium radius $R_\star \propto \hbar^{1/2}$ (verified to $0.2\%$ precision), naturally yielding a Compton-scale coherence radius compatible with point-like scattering. A 3/3 topological slot model is proposed as an auxiliary conjecture for classifying fermions; it is presented separately from the core derivations and is not required for any of them.</p> <p>Two falsifiable predictions follow: \emph{no magnetic monopoles} and a lattice-dispersion signature in ultra-high-energy photon propagation testable via gamma-ray burst observations. Quantitative reproduction of Standard Model particle masses, mixing angles, the fine-structure constant, and the Tsirelson bound remain open problems; we do not claim the framework resolves them.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19805868 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Discrete Field-Quantum Network with Nearest-Neighbor Attraction: Gravity, Strong Confinement, Quantum Measurement, and Evidence for Emergent Gauge Structure An, Haizhong <p>We propose a framework based on \textbf{a single original element}: a \emph{nearest-neighbor attraction rule} for discrete field quanta, structurally isomorphic to van der Waals forces, nuclear binding, the Casimir effect, and Bose--Einstein condensation. From this one rule we derive a continuous topological soliton whose energy is distributed throughout space, a Lagrangian whose continuum limit is the non-linear Klein--Gordon equation with Lorentz invariance as a mathematical theorem, and a concrete mechanism for quantum measurement (\emph{nonlinear topological unbinding}) that reproduces the Born rule from field-quantum counting. The framework recovers Newtonian gravity ($1/r^2$ from flux conservation) and the strong confining force (constant force from vacuum pressure on amplitude-gradient flux tubes, verified in a 225-parameter numerical sweep), both derived from the same Lagrangian. For the electromagnetic interaction, the framework provides a mechanism for emergent $U(1)$ gauge structure: Berry connections on the three-component field's $\mathbb{C}P^1$ moduli space yield non-vanishing field strength $F_{\mu\nu} \neq 0$ (verified numerically in 2D), and the Polyakov one-loop quantization generates dynamical Maxwell equations. The emergent coupling constant $\alpha_{\text{em}}$ depends sensitively on the soliton profile and its precise value remains an open problem requiring a self-consistent vortex-ring solution. Numerical evidence supports the spin-stabilization mechanism for closed vortex rings: the equilibrium radius $R_\star \propto \hbar^{1/2}$ (verified to $0.2\%$ precision), naturally yielding a Compton-scale coherence radius compatible with point-like scattering. A 3/3 topological slot model is proposed as an auxiliary conjecture for classifying fermions; it is presented separately from the core derivations and is not required for any of them.</p> <p>Two falsifiable predictions follow: \emph{no magnetic monopoles} and a lattice-dispersion signature in ultra-high-energy photon propagation testable via gamma-ray burst observations. Quantitative reproduction of Standard Model particle masses, mixing angles, the fine-structure constant, and the Tsirelson bound remain open problems; we do not claim the framework resolves them.</p> |
| title | A Discrete Field-Quantum Network with Nearest-Neighbor Attraction: Gravity, Strong Confinement, Quantum Measurement, and Evidence for Emergent Gauge Structure |
| url | https://doi.org/10.5281/zenodo.19805868 |