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Void Where Statistically Prohibited: Constraining Gravity With Cosmic Voids and Addressing Statistical Noise Within Simulation Based Fisher Forecasts
Void Where Statistically Prohibited: Constraining Gravity With Cosmic Voids and Addressing...
Void Where Statistically Prohibited: Constraining Gravity With Cosmic Voids and Addressing Statistical Noise Within Simulation Based Fisher Forecasts

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20250211152650
ISBN  
9798384048978
DDC  
523
저자명  
Wilson, Christopher.
서명/저자  
Void Where Statistically Prohibited: Constraining Gravity With Cosmic Voids and Addressing Statistical Noise Within Simulation Based Fisher Forecasts
발행사항  
[Sl] : Cornell University, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
213 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-03, Section: B.
주기사항  
Advisor: Bean, Rachel.
학위논문주기  
Thesis (Ph.D.)--Cornell University, 2024.
초록/해제  
요약Of the most important open questions in cosmology and perhaps all of physics is the observed late time cosmic expansion. The accelerating expansion rate of the universe, driven by vacuum energy, presents a profound challenge. Theoretical predictions for the value of this vacuum energy are discrepant by an astonishing factor of 10120 relative to the observed value necessary to drive the current levels of expansion, highlighting a significant gap in our understanding of fundamental physics. This thesis aims to explore and constrain alternative theories of gravity that extend beyond General Relativity (GR), which have since arisen as a potential solution to this cosmological conundrum. This thesis presents a detailed examination of the impact of modified gravity on the emptiest structures in the universe, cosmic voids. It evaluates the robustness and usefulness of void statistics in different gravity models, and addresses the implications of statistical noise on simulation derived Fisher forecasts for large-scale structure surveys.First, we investigate the effects of cosmic scale modifications to general relativity on the dynamics of halos within voids by comparing N-body simulations incorporating Hu-Sawicki f(R) gravity with ΛCDM models. By analyzing the radial velocity statistics within voids classified by size and density-profile, we uncover significant differences in halo motions within small "R-type" voids between f(R) and ΛCDM cosmologies. We develop an iterative algorithm to solve the nonlinear fifth force equation in f(R) gravity which allows for a sensitive characterization of the Chameleon screening mechanism in voids and highlights the distinct behavior of the fifth force in these environments.Next, we compare void size and clustering statistics across f(R), nDGP, and general relativity using N-body simulations. Our study emphasizes the importance of using mock galaxy catalogs rather than dark matter halos alone for more realistic void identification. Despite enhanced void radial velocities and velocity dispersions in modified gravity models, the red-shift space void quadruple moments derived from mock galaxy tracers remain remarkably similar across different gravity models. We employ the Gaussian Streaming Model to accurately reconstruct ξ2 and demonstrate the void quadruple as an unbiased estimator of the redshift space growth rate parameter β = f/b in modified gravity theories.Expanding our scope from cosmic voids, we turn to another crucial aspect of cosmology and particle physics: the nature of massive neutrinos. A number of current and upcoming cosmological surveys aim to tightly constrain the neutrino mass sum which in combination with ground based particle experiment observations could decipher the neutrino mass hierarchy. In the final chapter of this thesis, we address the challenges posed by statistical noise in simulation-based Fisher forecasts for large-scale structure surveys. We reveal how noisy numerical derivatives, due to a finite number of simulations, bias the Fisher forecast, resulting in overly tight marginalized constraints. This effect is particularly pronounced for parameters like neutrino mass, where higher-order differentiation schemes are commonly used. We provide a statistical analysis to characterize these biases and propose methods to recover noise-free Fisher constraints, ensuring accurate assessments of upcoming survey capabilities.In conclusion, this thesis advances our understanding of the effects of different theories of gravity on cosmic structures, refines void statistics methodologies, and offers solutions to mitigate the impact of statistical noise on cosmological forecasts based within simulations, thereby enhancing the precision and reliability of future large-scale structure surveys.
일반주제명  
Astrophysics
일반주제명  
Statistics
일반주제명  
Astronomy
키워드  
Cosmic voids
키워드  
Fisher forecasts
키워드  
Modified gravity
키워드  
Statistical noise
기타저자  
Cornell University Physics
기본자료저록  
Dissertations Abstracts International. 86-03B.
전자적 위치 및 접속  
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MARC

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■1001  ▼aWilson,  Christopher.▼0(orcid)0000-0002-7609-2189
■24510▼aVoid  Where  Statistically  Prohibited:  Constraining  Gravity  With  Cosmic  Voids  and  Addressing  Statistical  Noise  Within  Simulation  Based  Fisher  Forecasts
■260    ▼a[Sl]▼bCornell  University▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a213  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-03,  Section:  B.
■500    ▼aAdvisor:  Bean,  Rachel.
■5021  ▼aThesis  (Ph.D.)--Cornell  University,  2024.
■520    ▼aOf  the  most  important  open  questions  in  cosmology  and  perhaps  all  of  physics  is  the  observed  late  time  cosmic  expansion.  The  accelerating  expansion  rate  of  the  universe,  driven  by  vacuum  energy,  presents  a  profound  challenge.  Theoretical  predictions  for  the  value  of  this  vacuum  energy  are  discrepant  by  an  astonishing  factor  of  10120  relative  to  the  observed  value  necessary  to  drive  the  current  levels  of  expansion,  highlighting  a  significant  gap  in  our  understanding  of  fundamental  physics.  This  thesis  aims  to  explore  and  constrain  alternative  theories  of  gravity  that  extend  beyond  General  Relativity  (GR),  which  have  since  arisen  as  a  potential  solution  to  this  cosmological  conundrum.  This  thesis  presents  a  detailed  examination  of  the  impact  of  modified  gravity  on  the  emptiest  structures  in  the  universe,  cosmic  voids.  It  evaluates  the  robustness  and  usefulness  of  void  statistics  in  different  gravity  models,  and  addresses  the  implications  of  statistical  noise  on  simulation  derived  Fisher  forecasts  for  large-scale  structure  surveys.First,  we  investigate  the  effects  of  cosmic  scale  modifications  to  general  relativity  on  the  dynamics  of  halos  within  voids  by  comparing  N-body  simulations  incorporating  Hu-Sawicki  f(R)  gravity  with  ΛCDM  models.  By  analyzing  the  radial  velocity  statistics  within  voids  classified  by  size  and  density-profile,  we  uncover  significant  differences  in  halo  motions  within  small  "R-type"  voids  between  f(R)  and  ΛCDM  cosmologies.  We  develop  an  iterative  algorithm  to  solve  the  nonlinear  fifth  force  equation  in  f(R)  gravity  which  allows  for  a  sensitive  characterization  of  the  Chameleon  screening  mechanism  in  voids  and  highlights  the  distinct  behavior  of  the  fifth  force  in  these  environments.Next,  we  compare  void  size  and  clustering  statistics  across  f(R),  nDGP,  and  general  relativity  using  N-body  simulations.  Our  study  emphasizes  the  importance  of  using  mock  galaxy  catalogs  rather  than  dark  matter  halos  alone  for  more  realistic  void  identification.  Despite  enhanced  void  radial  velocities  and  velocity  dispersions  in  modified  gravity  models,  the  red-shift  space  void  quadruple  moments  derived  from  mock  galaxy  tracers  remain  remarkably  similar  across  different  gravity  models.  We  employ  the  Gaussian  Streaming  Model  to  accurately  reconstruct  ξ2  and  demonstrate  the  void  quadruple  as  an  unbiased  estimator  of  the  redshift  space  growth  rate  parameter  β  =  f/b  in  modified  gravity  theories.Expanding  our  scope  from  cosmic  voids,  we  turn  to  another  crucial  aspect  of  cosmology  and  particle  physics:  the  nature  of  massive  neutrinos.  A  number  of  current  and  upcoming  cosmological  surveys  aim  to  tightly  constrain  the  neutrino  mass  sum  which  in  combination  with  ground  based  particle  experiment  observations  could  decipher  the  neutrino  mass  hierarchy.  In  the  final  chapter  of  this  thesis,  we  address  the  challenges  posed  by  statistical  noise  in  simulation-based  Fisher  forecasts  for  large-scale  structure  surveys.  We  reveal  how  noisy  numerical  derivatives,  due  to  a  finite  number  of  simulations,  bias  the  Fisher  forecast,  resulting  in  overly  tight  marginalized  constraints.  This  effect  is  particularly  pronounced  for  parameters  like  neutrino  mass,  where  higher-order  differentiation  schemes  are  commonly  used.  We  provide  a  statistical  analysis  to  characterize  these  biases  and  propose  methods  to  recover  noise-free  Fisher  constraints,  ensuring  accurate  assessments  of  upcoming  survey  capabilities.In  conclusion,  this  thesis  advances  our  understanding  of  the  effects  of  different  theories  of  gravity  on  cosmic  structures,  refines  void  statistics  methodologies,  and  offers  solutions  to  mitigate  the  impact  of  statistical  noise  on  cosmological  forecasts  based  within  simulations,  thereby  enhancing  the  precision  and  reliability  of  future  large-scale  structure  surveys.
■590    ▼aSchool  code:  0058.
■650  4▼aAstrophysics
■650  4▼aStatistics
■650  4▼aAstronomy
■653    ▼aCosmic  voids
■653    ▼aFisher  forecasts
■653    ▼aModified  gravity
■653    ▼aStatistical  noise
■690    ▼a0596
■690    ▼a0606
■690    ▼a0463
■71020▼aCornell  University▼bPhysics.
■7730  ▼tDissertations  Abstracts  International▼g86-03B.
■790    ▼a0058
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17163298▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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