Serious, after 20 post now you brought a made up a lie?
Oh, jeez
My 1st post here. After a masterpiece diagram that you can even comprehend.
At the bottom I wrote:
S_phi = ∫ d^11x √|g| [(1/2) g^{ij} ∂_i phi ∂_j phi - V(phi)]
where:
S_phi is the action for the scalar field phi in 11-dimensional spacetime
∫ d^11x denotes the 11-dimensional integral over all spacetime coordinates
√|g| is the square root of the determinant of the 11-dimensional metric tensor g_{ij}, which
describes the geometry of spacetime
g^{ij} is the inverse of the 11-dimensional metric tensor g_{ij}
∂_i phi is the partial derivative of the scalar field phi with respect to the i-th coordinate
V(phi) is the potential energy function of the scalar field phi
This action describes the dynamics of a scalar field in 11-dimensional spacetime, including its
kinetic energy and potential energy. The equations of motion for the scalar field can be derived by
varying this action with respect to the scalar field phi.
The action is a scalar quantity that describes the dynamics of the scalar field phi in 11-dimensional
spacetime, taking into account the effects of Gravity, Dark Matter, and Dark Energy through the
11-dimensional metric tensor g^{ij}. The action is used to derive the equations of motion for the
scalar field phi, which describes how the field evolves in time and space.
This is 100% correct. Dont lie now
Also your Fernando thesis paper is incorrect from the equation you posted. I corrected it and you went dead silent and ignore it!!
1960s errors. Not even moderator cant even comprehend and you should of been called out for it.