New Structures of Fundamental Particles Explored Through Theory and Experiment
Researchers propose a new model, ETAMFP, to explain the microstructure of fundamental particles, combining theoretical and experimental approaches to investigate the electron's size and properties.
The current understanding of the universe's origins suggests that it had four dimensions from the beginning, rather than being a dimensionless point. This idea has led researchers to explore physics beyond the Standard Model, questioning the point-like nature of fundamental particles. A recent study presents a theoretical framework, the Empirical Toy Ansatz about a Microstructure of Fundamental Particles (ETAMFP), which uses numerical coincidences between strong, weak, and electromagnetic interactions to develop a common ground state for all fundamental particles.
## Theoretical Background The ETAMFP model interprets higher states as vibrational modes of x, y, z (monopole, dipole, quadrupole) using the time coordinate. The researchers focus on the electron, which has a lifetime of 6.6 × 10^28 years, longer than the universe's age. They investigate a Lorentz-contracted gyroscope, a soliton in General Relativity (GR), and the Gross-Pitaevskii equation to derive an electron wave function, yielding an upper size limit. The ETAMFP model provides a lower limit, and the combination of these approaches gives insight into the electron's size and properties.
## Experimental Investigation The experimental part of the study involves the e^+e^- → γγ reaction, which probes long-range Quantum Electrodynamics (QED), and the e^+e^- → e^+e^-(γ) Bhabha reaction, which probes short-range weak interaction. The theoretical and experimental results are compared to determine the electron's size. The theoretical outer electron radius is 3.2 × 10^-14 m, while the experimental value is 3.18 × 10^-14 m. The inner kernel radius is theoretically 3.3 × 10^-15 m and experimentally 3.9 × 10^-15 m.
## Comparison of Theoretical and Experimental Results The agreement between the theoretical and experimental investigations suggests that it is possible to combine all fundamental particles into a common scheme, the ETAMFP model. This model describes the electron as a geometrically extended object with two fundamental boundaries. The findings of this study open a window to the fusion of General Relativity and Quantum Mechanics and provide an explanation for the wave-particle duality. The comparison of theoretical and experimental results can be summarized in the following table: | Parameter | Theoretical Value | Experimental Value | | --- | --- | --- | | Outer Electron Radius | 3.2 × 10^-14 m | 3.18 × 10^-14 m | | Inner Kernel Radius | 3.3 × 10^-15 m | 3.9 × 10^-15 m | The results show a good agreement between the theoretical and experimental values, supporting the ETAMFP model and its description of the electron's microstructure.
