Discussion Overview
The discussion centers on the exploration of a quantum formulation of string theory that does not rely on a classical Lagrangian. Participants examine the implications of such a formulation and its relationship to traditional quantum mechanics and established theories.
Discussion Character
- Exploratory
- Debate/contested
- Technical explanation
Main Points Raised
- One participant questions whether a purely quantum formulation of string theory exists that does not begin with a classical Lagrangian.
- Another participant points out that specifying a Lagrangian and quantizing it is standard practice in quantum mechanics.
- A participant mentions that, to their knowledge, such a formulation does not exist but references Witten's talk on the topic.
- One participant defines "pure quantum" as a formulation using operators and wave functions, seeking a model that operates entirely within the quantum realm.
- Another participant expresses that their ideas for a quantum formulation involve adapting wave functions to quaternion functionals and modifying gradients, aiming for applicability to vibrating strings.
- One participant finds Witten's talk enlightening and suggests it aligns with their inquiry, although they acknowledge their ideas are not yet a self-consistent model of quantum gravity.
- Another participant notes that Witten's ideas could lead to a new interpretation of quantum mechanics.
- Concerns are raised about reconciling a new formulation with the correspondence principle, which expects that new theories should reproduce known results in certain limits.
- One participant argues that a new formulation is necessary to describe both h and alpha deformations simultaneously.
Areas of Agreement / Disagreement
Participants express differing views on the existence and nature of a purely quantum formulation of string theory. There is no consensus on whether such a formulation can be achieved without starting from classical mechanics, and the discussion remains unresolved.
Contextual Notes
Participants reference the correspondence principle and its implications for formulating new theories, indicating a dependence on established theories and limits. The discussion includes speculative ideas that have not been fully developed or validated.