Theme

The goal of our research consists of two main parts:

To reduce the arbitrariness of the Standard Model. In particular, the existence of multiple generations suggests that nature may have an underlying fundamental structure. This is our primary focus.
To address the measurement problem in quantum mechanics. Although this is not our main focus, it is difficult to build a fundamental theory on top of a framework that remains conceptually ambiguous.

To achieve the above goals, we are currently considering soliton models as a promising candidate.

The motivation is straightforward:

Solitonic waves exhibit both particle-like and wave-like properties, and thus may provide a natural framework for explaining key features of quantum mechanics.
Solitons can possess excited states arising from complex nonlinear interactions among multiple fields. This may offer a possible explanation for the existence of particle generations.

Of course, this optimistic scenario has been explored by many researchers in the past, as it is a natural line of thought.

However, it has not yet been successfully realized. The primary difficulty lies in the treatment of strongly nonlinear theories, for which systematic methods are still lacking.

Importantly, there is no known no-go theorem that rules out this approach.

Encouragingly, the existence of stable solitons has been established in certain theories, such as the Skyrme model and magnetic monopole solutions. These developments represent significant progress and suggest promising possibilities.

That said, we do not regard soliton models as the only possible route to achieving our goals. It remains possible that we will ultimately abandon this approach if a more suitable framework emerges.

Nevertheless, we are currently focusing on soliton models because they appear to provide a natural and compelling description of fundamental aspects of nature.