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The challenge of unifying quantum theory and general relativity into a single framework is one of the biggest open questions in theoretical physics. While both theories have been incredibly successful in their respective domains, they are fundamentally different and incompatible with each other in their current formulations.

Quantum theory describes the behavior of matter and energy at the microscopic scale, such as atoms and subatomic particles, and it is characterized by probabilistic outcomes, wave-particle duality, and the uncertainty principle. On the other hand, general relativity is a theory of gravity that describes the large-scale structure of the universe, including the behavior of massive objects like planets and galaxies. It is based on the concept of spacetime curvature caused by mass and energy.

Attempts to combine these two theories have led to the development of various approaches, such as string theory, loop quantum gravity, and other quantum gravity models. However, a complete and experimentally verified theory of quantum gravity, which unifies quantum theory and general relativity, is still lacking.

The challenge arises because the mathematics and concepts of the two theories appear incompatible when applied to extreme conditions, such as at the center of a black hole or during the early moments of the Big Bang. The equations of general relativity break down in these situations, and quantum effects become significant. Resolving these inconsistencies and finding a consistent mathematical framework that incorporates both theories remains an active area of research.

While there have been exciting theoretical developments and progress, such as the discovery of holography and the AdS/CFT correspondence, as well as insights into the behavior of black holes through the study of information paradoxes, a definitive theory of quantum gravity that successfully merges quantum theory and general relativity is yet to be achieved. It remains a fascinating and ongoing pursuit in theoretical physics.

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