Acceleration & Quantum Gravity: A Fundamental Disconnect?

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SUMMARY

The discussion centers on the fundamental disconnect between general relativity and quantum theory, highlighting the role of acceleration in general relativity, particularly through the equivalence principle. In contrast, quantum theory does not incorporate acceleration, focusing instead on discrete interaction events to define object speeds and directions. A significant challenge in reconciling these theories is identified as the stress-energy tensor in Einstein's field equations, which relies on macroscopic properties that fail to apply at the atomic scale, leading to inconsistencies in how spacetime is curved.

PREREQUISITES
  • Understanding of general relativity and the equivalence principle
  • Familiarity with quantum theory and discrete interaction events
  • Knowledge of the stress-energy tensor and Einstein's field equations
  • Concepts of mass density, mass flux density, and pressure
NEXT STEPS
  • Research the implications of the equivalence principle in general relativity
  • Explore the role of the stress-energy tensor in Einstein's field equations
  • Investigate quantum field theory and its treatment of interactions
  • Examine current theories attempting to unify general relativity and quantum mechanics
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Physicists, researchers in theoretical physics, and students studying the reconciliation of general relativity and quantum mechanics.

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General relativity is all about acceleration (equivalence principle).

Quantum theory never mentions acceleration. New object speeds and directions only arise from discrete interaction events.

Is this the fundamental reason why the two theories are so hard to reconcile?
 
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I don't think one could point to just one particular problem with reconciling the two theories, but if I had to, then I'd say the biggest problem is the stress-energy tensor in the Einstein field equations. It determines how spacetime is curved, but it is determined by macroscopic properties like mass density, mass flux density, and pressure. These quantities break down completely on the atomic scale and the tidy picture of stress-energy deterministically curving spacetime falls apart.
 

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