Zero lagrangian and induced gravitation

AI Thread Summary
Induced gravity refers to a theoretical concept where gravity emerges from the dynamics of a system rather than being a fundamental force. The discussion highlights confusion around the term "zero Lagrangian," suggesting it might actually relate to a zero Hamiltonian in constrained systems. Participants express uncertainty about the implications of a zero Lagrangian, noting that if both kinetic and potential energy are equal, the action becomes zero, complicating the application of Euler-Lagrange equations. The conversation seeks clearer, less technical resources to better understand these concepts. Understanding induced gravity and its relation to Lagrangian mechanics remains a complex topic requiring further exploration.
Sunfire
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Hello,

Does anyone know what "induced gravity" is and where can one read (something not too technical) about it?

I am trying to understand how a system with zero Lagrangian has something to do with gravity.
Could someone explain perhaps?

Thanks
 
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0 Lagrangian ? You might mean 0 Hamiltonian, which is a constrained system.
 
The text I read was brief... it only mentioned "zero Lagrangian (i.e. induced gravity)". I would have imagined this meant a system where T and V are equal. I am unsure what would be special in a such zero-lagrangian system. Then the action is zero too. One can't write the euler -lagrange equations either , because all terms are zero

or am I missing something?
 
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