No, mathematicians have not lost all connection with physics in black hole theory. In fact, black hole theory is an active area of research where both mathematicians and physicists collaborate to deepen our understanding of these fascinating objects.
Black holes are extreme regions of spacetime with gravitational fields so strong that nothing, not even light, can escape their gravitational pull. The study of black holes involves both mathematical modeling and physical principles to describe their properties and behavior.
Mathematicians play a crucial role in black hole theory by developing the mathematical tools and frameworks necessary to study these objects. They work on areas such as differential geometry, topology, and general relativity to provide rigorous mathematical descriptions of black holes and their associated phenomena. Mathematical models and equations help physicists understand the behavior of matter and energy near black holes and make predictions that can be tested through observations and experiments.
Physicists, on the other hand, apply these mathematical models to black hole physics, incorporating known physical laws and principles. They investigate the behavior of matter and radiation in the vicinity of black holes, the dynamics of black hole formation and evolution, and the consequences of black hole interactions with other objects in the universe. This involves experimental and observational data, theoretical calculations, and numerical simulations.
Collaboration between mathematicians and physicists is essential for advancing our understanding of black holes. The mathematical models and techniques developed by mathematicians provide the foundation for physicists to explore and test various phenomena associated with black holes. Likewise, observations and experimental results provide valuable data that can inform and refine mathematical models.
While the mathematics involved in black hole theory can be highly abstract and complex, it remains deeply intertwined with physics. The mathematical formalism allows physicists to make precise predictions and theoretical explanations about the behavior of black holes, guiding further empirical investigations and expanding our knowledge of the universe.