Could the "4-ghost" discovered at LHC provide support for the holography = holomorphy principle of TGD

A 4-D resonant magnetic anomaly, called "4- ghost" has been discovered at LHC (see this). There is article about the finding in Nature Physics (see this").

The popular article describes the finding as follows.

The Ghost," has been detected within the Large Hadron Collider, the world’s most advanced particle research facility. It is disrupting particle paths in a way that current physics models cannot explain. The force is producing measurable, reproducible disruptions that challenge our fundamental understanding of reality.

This does not tell much. H. Bartosik, G. Franchetti & F. Schmidt have published an article with title "Observation of fixed lines induced by a nonlinear resonance in the CERN Super Proton Synchrotron" in Nature Physics. The abstract of the article allows to get some idea of the mysterious 4-D force.

The motion of systems with linear restoring forces and recurring nonlinear perturbations is of central importance in physics. When a system’s natural oscillation frequencies and the frequency of the nonlinear restoring forces satisfy certain algebraic relations, the dynamics become resonant.

In accelerator physics, an understanding of resonances and nonlinear dynamics is crucial for avoiding the loss of beam particles. Here we confirm the theoretical prediction of the dynamics for a single two-dimensional coupled resonance by observing so-called fixed lines.

Specifically, we use the CERN Super Proton Synchrotron to measure the position of a particle beam at discrete locations around the accelerator. These measurements allow us to construct the Poincaré surface of section, which captures the main features of the dynamics in a periodic system.

In our setting, any resonant particle passing through the Poincaré surface of section lies on a curve embedded in a four-dimensional phase space, the fixed line. These findings are relevant for mitigating beam degradation and thus for achieving high-intensity and high-brightness beams, as required for both current and future accelerator projects.

The popular article suggests new exotic physics and the Nature article suggests that standard physics is enough to understand the findings. Which source you should believe? This question emerges repeatedly during the period of science hype. The best answer is "Do not believe either source: think by yourself!".

In the TGD framework, one can ask whether the the finding could provide support for the slightly non-deterministic holography = holomorphy principle defining the basic dynamical principle of TGD (see for instance this and this). In TGD, space-time surfaces in 8-D M⁴×CP₂ as analogs of Bohr orbits for 3-D particles replace string world sheets of string models. Holography = holomorphy principle allows to solve field equations explicitly and reduce them to algebraic equations at the fundamental level at which the general relativistic space-time is replaced with space-time surfaces which quite concretely correspond to what we see around us.

The solutions of field equations are slightly non-deterministic and analogous to 4-D minimal surfaces. Already 2-D minimal surfaces (soap films) are slightly non-deterministic: sevel of them are spanned by the same frame.

This leads to a profound revision of the construction of scattering amplitudes (see this, this, this, this). There is no path integral and associated divergences. The motion of the 3-surfaces representing holographic data can be regarded as an analog of Brownian motion in H=M⁴×CP₂ and the edges of the Brownian curve define the counterparts of vertices.

Concerning the strange 4-D force: magnetic monopole flux tubes are key entities of the TGD Universe in all scales and magnetic fields are involved in these experiments. Could the discrete non-deterministic degrees of freedom make the basic system effectively 4-D and give rise to the mysterious 4-D force. Ironically, this mysterious 4-D force makes possible non-trivial scattering amplitudes in the TGD universe but only in space-time dimension D=4.

See for instance the article TGD counterpart of Feynman diagrammatics with application to QFT limit and CP violation.