Quantum Geometry 2022 – Adam Apollo
Quantum Geometry A Resonance Academy Elective from Faculty Member Adam Apollo
It is a field of study that combines elements of quantum mechanics and geometry to understand the fundamental structure of spacetime at microscopic scales. It seeks to describe the geometry of spacetime in a quantum framework, taking into account the principles of quantum theory.
In classical physics, geometry provides a framework to describe the shape and properties of objects and spaces. Quantum geometry aims to develop mathematical models and frameworks that can describe the quantum nature of spacetime.
- Loop Quantum Gravity: Loop quantum gravity (LQG) is a specific approach to that seeks to quantize the gravitational field.
- Emergent Spacetime: In certain approaches to , spacetime emerges as a collective behavior or approximation of more fundamental constituents.
- Here are a few more aspects and related concepts within the field of :
- Geometric Quantization: Geometric quantization is a mathematical procedure that aims to associate quantum mechanical operators with classical observables in a way that respects the underlying geometric structure.
- Quantum Groups: Quantum groups are algebraic structures that generalize the concept of a Lie group and incorporate quantum effects.
- Quantum Gravity Phenomenology: Quantum gravity phenomenology aims to explore the potential observational and experimental consequences of quantum gravity effects.
- Quantum Field Theory on Curved Spacetime: Quantum field theory on curved spacetime combines quantum field theory with general relativity.
