It is not accurate to say that all mathematicians look down on theoretical physics or that there is a widespread disdain from mathematicians towards theoretical physics. Mathematics and theoretical physics are closely intertwined disciplines, and there is a rich history of collaboration and cross-pollination between the two fields.
However, it is true that there can be certain differences in the approaches and perspectives of mathematicians and theoretical physicists, which can sometimes lead to misunderstandings or differences in opinion. Here are a few reasons that can contribute to such perceptions:
Rigor vs. Intuition: Mathematics is known for its emphasis on rigor, precision, and formal proofs. Mathematicians strive for complete logical certainty in their arguments. On the other hand, theoretical physicists often rely on intuition, approximation, and mathematical models to understand and describe the physical world. This difference in emphasis can sometimes lead to a perception that physicists are not as rigorous as mathematicians.
Mathematical Abstraction: Mathematics often deals with abstract concepts and structures that may not have an immediate connection to physical reality. Some mathematicians may view certain areas of theoretical physics as being too speculative or disconnected from rigorous mathematical foundations. This can lead to a perception that certain theoretical physics ideas are less rigorous or less valuable from a mathematical standpoint.
Different Goals and Methods: Mathematics and theoretical physics have different primary goals. Mathematics aims to explore and develop abstract mathematical structures, while theoretical physics seeks to understand the fundamental laws of nature and make predictions about the physical world. The methods and techniques employed by each discipline can vary, leading to differences in perspective.
It's important to note that these perceived differences are not universal and do not represent the views of all mathematicians or physicists. Many mathematicians and physicists work together closely, collaborate on research, and have deep respect for each other's disciplines. Both fields contribute to our understanding of the universe, and their strengths lie in different aspects of inquiry and exploration.