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It is sometimes stated that new principles are required to solve the puzzle of quantizing gravity and harmonizing all interactions.
Let me first list some known principles
- quantization of classical theories; not really a principle, but a "program"
- equivalence principle in GR
- gauge principle
- holography
- ...
In constructing different theories on is using such principles or at least one is being inspired by such principles; but
- string theory doesn't introduce new principles for its construction (I wouldn't call the world sheet a "principle")
- LQG does not use any new principle; it just uses a different quantization method
- for NCG I am not sure if there's a new principle
- asymptotic safety isn't a principle at all; it's just applying the renormalization group
- the holographic principle isn't "used" for constructing a theory; but it shows up in some approaches
So why should a new principle be missing? and how should it look like? should it be a physical principle, or should it be a new mathematical tool?
Let me first list some known principles
- quantization of classical theories; not really a principle, but a "program"
- equivalence principle in GR
- gauge principle
- holography
- ...
In constructing different theories on is using such principles or at least one is being inspired by such principles; but
- string theory doesn't introduce new principles for its construction (I wouldn't call the world sheet a "principle")
- LQG does not use any new principle; it just uses a different quantization method
- for NCG I am not sure if there's a new principle
- asymptotic safety isn't a principle at all; it's just applying the renormalization group
- the holographic principle isn't "used" for constructing a theory; but it shows up in some approaches
So why should a new principle be missing? and how should it look like? should it be a physical principle, or should it be a new mathematical tool?
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