Physics & Applied Physics - Unified Quantum Gravity Theory

Problem Statement: Formulate a mathematically consistent theory that unifies quantum mechanics and general relativity, making testable predictions regarding quantum gravitational phenomena.

Why This Exemplifies the Field: This addresses the central incompatibility between our two most successful physical theories and represents the holy grail of theoretical physics that would fundamentally transform our understanding of spacetime, black holes, and the early universe.

Evaluation Criteria:

• Mathematical consistency without singularities or infinities

• Reproduces general relativity in appropriate limits

• Reproduces quantum field theory in appropriate limits

• Makes at least three new, testable predictions distinct from existing theories

• Theoretical framework published and peer-reviewed

• At least one experimental verification of a novel prediction

Feasibility Assessment: Extremely challenging, likely 20-30 years minimum. Requires conceptual breakthroughs in understanding spacetime emergence, innovative mathematical frameworks, and new experimental approaches for testing quantum gravity effects. May be contingent on advancements in string theory, loop quantum gravity, or entirely new approaches.

Impact on the Field: Would represent one of the greatest achievements in theoretical physics, resolving the central incompatibility between our two most successful physical theories. Would transform our understanding of black holes, the early universe, and potentially reveal new phenomena at the Planck scale.