Scribd
Upload
10 views1 page

Motivation

The author has independently studied differential geometry and its relevance to the foundations of physics, particularly in quantum gravity. They have utilized various seminal texts and online resources to deepen their understanding and are currently working on a project related to gauge theories in gravity. The author seeks to participate in the ICTP workshop to connect with peers and mentors who share their interests in this field.

Uploaded by

AR
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
10 views1 page

Motivation

The author has independently studied differential geometry and its relevance to the foundations of physics, particularly in quantum gravity. They have utilized various seminal texts and online resources to deepen their understanding and are currently working on a project related to gauge theories in gravity. The author seeks to participate in the ICTP workshop to connect with peers and mentors who share their interests in this field.

Uploaded by

AR
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 1

Over the past few years, I have independently explored the topic of differential geometry and the

geometrical foundations of physics. My fascination with the geometric structure of physics-from


classical mechanics to quantum gravity-has been a guiding force in my academic journey. I believe
that differential geometry holds considerable promise as a framework for establishing the structural
foundations of quantum gravity.

I have relied on seminal texts such as Geometry, Topology, and Physics by Nakahara; Lectures on
differential geometry by S. Chen; Introductory Differential Geometry for Physicists by Visconti; and
Gauge Fields, Knots, and Gravity by Baez and Muniain, among others. Additionally, online lectures
from platforms like Physics Latam have significantly enriched my theoretical insights and practical
understanding.

My recent project comparing electromagnetic and gravitational radiation has motivated me to explore
a gauge-theoretic framework for gravity analogous to Yangs Mills theories. In particular, the
application of principal bundles and their associated connections to construct and describe gauge
fields appears to be quite natural and intuitive to me. This exploration pushed to look for more
differential geometric structure that could prove valuable in constructing a quantum theory of gravity

Yet, despite my enthusiasm and self-driven efforts, I often feel isolated in my quest. I have not found
a mentor or peers who share my deep interest, yet. I am convinced that participation in the ICTP
workshop will provide me with a unique opportunity to connect with like-minded researchers, learn
from their experiences, and broaden my perspective.

You might also like