Birth of the GUP and its effect on the entropy of the universe in Lie-N-algebra

Abstract

In this paper, the origin of the generalized uncertainty principle (GUP) in an M -dimensional theory with Lie-N -algebra is considered. This theory which we name GLNA(Generalized Lie-NAlgebra)-theory can be reduced to M -theory with M = 11 and N = 3. In this theory, at the beginning, two energies with positive and negative signs are created from nothing and produce two types of branes with opposite quantum numbers and different numbers of timing dimensions. Coincidence with the birth of these branes, various derivatives of bosonic fields emerge in the action of the system which produce the r GUP for bosons. These branes interact with each other, compact and various derivatives of spinor fields appear in the action of the system which leads to the creation of the GUP for fermions. The previous predicted entropy of branes in the GUP is corrected as due to the emergence of higher orders of derivatives and different number of timing dimensions.

The Origin of Chern-Simons Modified Gravity from an 11 + 3-Dimensional Manifold

“…Finally, we consider the origin of the extended theories of gravity in -theory and show that these theories could be anomaly-free. And, finally, one of the main results of an extension to 14 dimensions yields the predicted terms in the generalized uncertainty principle [16]. This theory gives the exact form of GUP and explains the reason for the birth of extra terms and their growing in this principle.…”

“…Our proposal is actually another version of thetheory in [15,16]. This approach removes anomalies in 11-dimensional -theory by a generalization of dimension to 14.…”

Algebraic Inverses on Lie Algebra Comultiplications

“…Symmetry in mathematics is used to indicate a mathematical terminology that is invariant under transformations such as reflection, rotation and translation, and is also used to define an equivalence relation among mathematical objects; e.g., a set, a topological space or an algebraic object. Symmetry in natural sciences is generalized to mean invariance under any kind of transformation, and plays a pivotal role in quantum chemistry and theoretical physics [1][2][3] which are related to (Lie) group theory in mathematics.…”

On the origin of generalized uncertainty principle from compactified M5-brane

“…We will show that these M0-branes can join each other, grow and then make a transition to a M 5-brane. Let us begin with the Born-Infeld action for a Dp-brane [13][14][15][16][17][18][19]:…”

“…Now, from the D0-branes, we can construct other Dpbranes by substituting the following rules in the action (7) [13,15,21,22]:…”