M Theory Formulations: Math & Competing Theories

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Which is the current mathematical formulation of M theory, and what are its competitors?
 
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Is there anyone intersted in M theory?
 
There is no basic notion of M-theory ,it only exist as a low energy supergravity.Just to support the renormalizability,we extend it in higher energy regime calling M theory.And doing some compactification on a line or circle to give rise to different string theory and then using duality to relate one with another like IIA to IIB.
 
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I'm trying to understand the relationship between the Higgs mechanism and the concept of inertia. The Higgs field gives fundamental particles their rest mass, but it doesn't seem to directly explain why a massive object resists acceleration (inertia). My question is: How does the Standard Model account for inertia? Is it simply taken as a given property of mass, or is there a deeper connection to the vacuum structure? Furthermore, how does the Higgs mechanism relate to broader concepts like...
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