Road to Theory of Everything
18 years a go, I just finished my study @ Theoretical Physics Department, Brawijaya University. My Bachelor of Science thesis is “Generalisasi Persamaan Maxwell Dalam Medan Gauge Non-Abelian dan Analognya Pada Relativitas Umum”, Generalisation of Maxwell’s Equations in Non-Abelian Gauge Field and Their Analogies in General Relativity.
There are two major streams to explain Theory of Everything, Standard Model and String Theory. This theoretical research is a journey to unite all forces in universe into a generalisation theory that can can explain anything of everything in path of Standard Model. To describe the mathematics formulation of the Standard Model, physicists use group theory.
“In mathematics and abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right.”
To represent algebraic groups, typically used tensors.
“In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.”
After this research, I never used tensors again, except when implementing Markov Chain Algorithm for the purpose of detecting typo correction of hotel name for Tiket.com. Until someday, I knew Tensorflow that introduced by the Google Brain team within Google’s Machine Intelligence Research organization.
“TensorFlow is an open source software library for numerical computation using data flow graphs. The graph nodes represent mathematical operations, while the graph edges represent the multidimensional data arrays (tensors) that flow between them.”
Realising these things, I decided on my career to start focusing on exploring the unification of forces in Theoretical Physics and the development of generic (but powerful) machine learning algorithms using tensors base as representations of their mathematical formulas.
So, the next articles will be studies of Group Theory and TensorFlow. Welcome to my world.
