Yes, a mathematical physicist can certainly have the intuition to discover new theories in physics, much like a theoretical physicist. In fact, mathematical physicists often play a crucial role in developing new theoretical frameworks and making significant contributions to our understanding of the physical world.
Mathematical physicists specialize in using advanced mathematical tools and techniques to study and formulate the laws of physics. They have a deep understanding of both mathematics and physics, allowing them to bridge the gap between abstract mathematical concepts and their application to physical phenomena. Their expertise lies in developing mathematical models, formulating equations, and analyzing the mathematical structures that underpin physical theories.
Through their mathematical training and intuition, mathematical physicists can identify patterns, symmetries, and mathematical relationships that may lead to new insights and theories in physics. They often work closely with experimental physicists and theoretical physicists to propose mathematical frameworks that explain observed phenomena or to explore new possibilities beyond existing theories.
Theoretical physicists, on the other hand, tend to focus more on the conceptual and phenomenological aspects of physics, developing theoretical frameworks and making predictions that can be tested experimentally. While theoretical physicists often rely on mathematics to describe and analyze physical phenomena, their approach may be more guided by physical intuition, thought experiments, and heuristic reasoning.
However, it's important to note that the distinction between mathematical physicists and theoretical physicists is not always rigid, and there can be considerable overlap between the two fields. Many physicists engage in interdisciplinary research, combining mathematical rigor with physical intuition to make groundbreaking discoveries and advance our understanding of the universe.
Ultimately, both mathematical physicists and theoretical physicists contribute to the progress of physics by exploring new ideas, proposing theories, and pushing the boundaries of our knowledge.