The simplicity of the action principle in the octonionic theory

In the attached screenshot from my review, I show the fundamental action, by opening which the standard model Lagrangian (+gravity) emerges.

This action is nothing but a refined form of the action of a relativistic particle in curved spacetime, i.e.

S = mc \int ds

I try to explain, using one more screenshot from the review, attached below.

Eqn. 43 defines an octonion, whose eight direction vectors define the underlying physical space in which the `atom of space-time-matter' [the Q matrices = elementary particles] lives.

The form of the matrix is shown in Eqn. 44. The elementary particles are defined by different directions of octonions. The Q-matrices as shown in the action define the `kinetic energy' of the STM atom. The trace is a matrix trace. Noting that L is proportional to square root of mass m, the action in the screen shot can be written as

S ~ mc \int Tr [ .... ]

Our fundamental action is a relativistic matrix-particle in higher dimensions.

The universe is made of enormously many such STM atoms which interact through `collisions' and entanglement. From their interactions emerges the low energy universe we see.

There perhaps cannot be a simpler description of unification than this action principle. Note that Q_1 and Q_2 are two different matrices which together define one `particle' hence giving it the character of an extended object such as the string of string theory.

Once again, we see the great importance of Connes time \tau. The universe is a higher dimensional spacetime manifold filled with matter, all evolving in an absolute Connes time.

Reference for the review: https://arxiv.org/abs/2110.02062