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-$N$-Algebra)-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.

arXiv comment15 pages. Published in International Journal of Geometric Methods in Modern Physics, Vol. 14 (2017) 1750130

References in corpus (22)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Dielectric-Branes
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• Nonpointlike Particles in Harmonic Oscillators
• A proposal for testing Quantum Gravity in the lab
• Minimal Length Uncertainty Relation and Hydrogen Atom
• When conceptual worlds collide: The GUP and the BH entropy
• Discreteness of Space from GUP II: Relativistic Wave Equations
• Phenomenological Implications of the Generalized Uncertainty Principle
• Quantum Uncertainty in Doubly Special Relativity
• M2 to D2
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• M5 from M2
• Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes
• Effect of the Generalized Uncertainty Principle on Post-Inflation Preheating
• Emergence and Expansion of Cosmic Space in BIonic system
• Emergence and oscillation of cosmic space by joining M1-branes
• Cosmology from quantum potential in brane-anti-brane system
• Emergence and expansion of cosmic space as due to M0-branes
• Teleparallel loop quantum cosmology in a system of intersecting branes

Cited by in corpus (1)

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