A modification to the mirror trajectory corresponding to shell collapse
Khalykbek Yelshibekov

TL;DR
This paper introduces a modified mirror trajectory for black hole shell collapse that produces finite energy and thermal radiation, addressing the infinite energy issue in the traditional model.
Contribution
It proposes a new BHC mirror trajectory with a variable final velocity, resulting in finite energy emission and thermal radiation, improving upon previous models.
Findings
Produces finite energy emission
Generates thermal radiation
Recovers original model as velocity approaches light speed
Abstract
The well-known moving mirror trajectory corresponding to black hole shell collapse scenario (BHC) appears to produce an infinite amount of energy. By changing the final velocity of the BHC mirror from the speed of light to a free variable a new mirror trajectory was found. This modified BHC mirror produces finite energy and emits thermal radiation. In the limit of the BHC mirror is restored. In this thesis, the energy and particle production of the modified BHC mirror, as well as the correlations in its radiation, are presented.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Black Holes and Theoretical Physics · Cosmology and Gravitation Theories
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A modification to the mirror trajectory corresponding to shell collapse \supervisorMichael R.R.Good \examiner Bachelor of Science in Physics \addresses \subjectTheoretical Physics \universityNazarbayev University \departmentSchool of Science and Technology \groupPhysics Department \facultyPhysics Department
\univname
Bachelor Thesis
\HRule\ttitle\HRule
Author:
Supervisor:
*A thesis submitted in fulfillment of the requirements
for the degree of \degreename
in the
\groupname
\deptname
March 8, 2024
Abstract
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Abstract The well-known moving mirror trajectory corresponding to black hole shell collapse scenario (BHC) appears to produce infinite amount of energy. By changing the final velocity of the BHC mirror from speed of light to a free variable a new mirror trajectory was found. This modified BHC mirror produce finite energy and emits thermal radiation. In the limit of the BHC mirror is restored. In this thesis the energy and particle production of the modified BHC mirror as well as the correlations in its radiation are presented.
{declaration}\addchaptertocentry\authorshipname
I, \authorname, declare that this thesis titled, “\ttitle” and the work presented in it are my own. I confirm that:
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This thesis is drawn almost exclusively from [horizonless] and [GTC].
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This work was done wholly or mainly while in candidature for a research degree at this University.
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Where any part of this thesis has previously been submitted for a degree or any other qualification at this University or any other institution, this has been clearly stated.
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Where I have consulted the published work of others, this is always clearly attributed.
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I have acknowledged all main sources of help.
Signed:
Date:
“I’m smart enough to know that I’m dumb.”
Richard Feynman
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Dedicated to Mama Roza
