About Me
Hello,
My name is Yuta Agawa, and I am an independent researcher based in Japan. I have a deep interest in geometry and topology, with a particular fascination for holonomy in differential geometry. I believe holonomy holds significant potential, and my research focuses on its applications in both theoretical and mathematical physics. In fact, holonomy has already found application in various areas—ranging from the holonomy of foliations and holonomic constraints in dynamical systems and robotics to the geometric (Berry) phase in quantum mechanics.
However, I’ve observed that holonomy is often treated merely as a mathematical concept or tool, with little direct attention paid to its intrinsic qualities. I am convinced that holonomy is much more than that; it can serve as a fundamental framework not only in mathematics and physics but across the entire spectrum of natural sciences, information sciences, neuroscience, and cognitive science. To demonstrate that holonomy is the key to truly understanding, proving, and advancing foundational principles, I am pursuing research that aims to make a significant impact.
While my primary focus is on theoretical and mathematical physics centered on holonomy, I also engage in interdisciplinary studies—delving into other fields from the ground up whenever I find potential applications. This broad and unconventional approach has presented considerable challenges for an independent researcher like myself. To overcome these, I effectively leverage generative AI to expand and organize ideas, thereby enhancing both the speed and precision of my work.
On a personal note, my past experience with schizophrenia, along with my current management of obsessive-compulsive disorder and panic disorder, has endowed my research with unique insights, perseverance, and a meticulous attention to detail. I particularly enjoy, despite the mental challenges, simulating events in my dreams, visualizing scenarios in space and time, and engaging in philosophical thought experiments. These practices provide diverse perspectives that enrich my scientific exploration.
Ultimately, my goal is to develop a genuine “unified theory”—one that, from a physical standpoint, is founded on holonomy and stands apart from existing theories. I place great importance on an interdisciplinary, holistic perspective and believe that research capable of bridging diverse fields with coherent insights—in a sense, embracing a form of nonlocality—is essential. Although my contributions may be confined to the theoretical realm, I aspire to make meaningful advances that will benefit humanity and lay the groundwork for future progress.
Above all, it would be my greatest joy to understand what it truly means to be “I am that I am,” as I continue to be guided by emerging possibilities, shared empathy with others, and my own personal growth and discoveries.
