Learning both general relativity and quantum theory at the same time can be quite challenging. Both subjects are highly complex and require a solid foundation in mathematics and physics. However, it is not impossible to study them concurrently with dedication and proper guidance.
Here are a few factors to consider:
Mathematics: Both general relativity and quantum theory involve advanced mathematics. General relativity requires a strong grasp of differential geometry, tensor calculus, and partial differential equations. Quantum theory relies heavily on linear algebra, complex analysis, and functional analysis. Familiarity with these mathematical concepts is essential for understanding the theories.
Background knowledge: It is recommended to have a solid understanding of classical mechanics, electromagnetism, and classical field theory before diving into general relativity and quantum theory. These foundational subjects provide the necessary framework and concepts that are built upon in both theories.
Cognitive load: General relativity and quantum theory are known to have different conceptual frameworks and mathematical formalisms. Trying to simultaneously learn and comprehend the intricacies of both can be mentally demanding. It's important to allocate sufficient time and mental resources to grasp the fundamental concepts and equations of each theory.
Available resources: Finding suitable learning resources is crucial. Look for textbooks, online courses, or lecture notes that offer a clear and organized presentation of both subjects. It can be helpful to consult with professors, mentors, or fellow students who have expertise in these areas.
Patience and perseverance: Learning general relativity and quantum theory requires time, patience, and persistence. These are complex theories that have been developed over decades, and it takes time to fully comprehend and appreciate their nuances. Breaking down the material into manageable chunks and gradually building upon your knowledge will be beneficial.
Ultimately, the difficulty of learning both general relativity and quantum theory together depends on your background, dedication, available resources, and the time you can devote to studying. It is recommended to consult with experts in the field and take a systematic approach to learning, focusing on building a strong foundation in both areas before delving deeper.