Is there any theory that can be modeled in any type of space?

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SUMMARY

The discussion centers on the compatibility of physical theories with various types of spaces, including Hilbert space, Euclidean space, and Non-Euclidean space. Participants assert that certain theories, particularly in quantum mechanics and general relativity, can indeed be modeled across these different spaces. The conversation highlights the importance of understanding symmetries in physics, suggesting that theories may need to accommodate various physical symmetries to be universally applicable.

PREREQUISITES
  • Understanding of Hilbert space in quantum mechanics
  • Familiarity with Euclidean and Non-Euclidean geometries
  • Knowledge of physical symmetries in theoretical physics
  • Basic principles of general relativity
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  • Research the application of Hilbert space in quantum mechanics
  • Explore the implications of Non-Euclidean geometry in physics
  • Study the role of symmetries in physical theories
  • Investigate the relationship between general relativity and different geometrical frameworks
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Physicists, mathematicians, and students interested in theoretical physics and the foundations of quantum mechanics and relativity.

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Is there any theory in physics that can be modeled in any type of space (Hilbert space, Euclidean, Non-Euclidean...etc)? And if yes, could that theory also contain/be compatible with all types of (physical) symmetries?
 
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