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This dissertation investigates thermodynamic, emergent and holographic aspects of gravity in the context of causal diamonds. We obtain a gravitational first law for causal diamonds in maximally symmetric spacetimes and argue that these…

High Energy Physics - Theory · Physics 2019-08-16 Manus R. Visser

In this paper, we suggest a mathematical representation to the holographic principle through the theory topological retracts. We found that the topological retraction is the mathematical analogs of the hologram idea in modern quantum…

General Relativity and Quantum Cosmology · Physics 2018-10-02 Nasr Ahmed , Hisham Rafat

We investigate the unified first law and the generalized second law in a modified holographic dark energy model. The thermodynamical analysis on the apparent horizon can work and the corresponding entropy formula is extracted from the…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Hui Li , Yi Zhang

Gravitational holography is argued to render the cosmological constant stable against divergent quantum corrections. This provides a technically natural solution to the cosmological constant problem. Evidence for quantum stability of the…

High Energy Physics - Theory · Physics 2007-05-23 Scott Thomas

An Extended Uncertainty Principle inspired Schwarzschild metric that allows for large scale modifications to gravitation is presented. At a new fundamental length scale $\Ls$, the usual black hole characteristics (horizon radius, ISCO, and…

General Relativity and Quantum Cosmology · Physics 2018-12-24 J. R. Mureika

Spacetimes with horizons show a resemblance to thermodynamic systems and it is possible to associate the notions of temperature and entropy with them. Several aspects of this connection are reviewed in a manner appropriate for broad…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Padmanabhan

In this work we construct holographic boundary theories for linearized 3D gravity, for a general family of finite or quasi-local boundaries. These boundary theories are directly derived from the dynamics of 3D gravity by computing the…

General Relativity and Quantum Cosmology · Physics 2019-05-28 Seth K. Asante , Bianca Dittrich , Florian Hopfmueller

Using data, provided by WMAP7, I calculate the entropy of the visible universe, where visible refers to electromagnetic radiation, and hence the visible universe is bounded by the Surface of Last Scatter. The dimensionless entropy, $S/k$,…

General Physics · Physics 2011-01-04 Paul Howard Frampton

By assuming that a dark component (dark energy) in the universe strictly obeys the holographic principle, that is, its entropy is one fourth of the apparent horizon, we find that the existence of the other dark component (dark matter) is…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Hongsheng Zhang , Xin-Zhou Li , Hyerim Noh

The holographic entropy bound is discussed in cosmology. Inspired by the work of Fischler and Susskind [hep-th/9806039], we aim to define a special class of spherical systems in cosmology, within which the entropy of matter remains…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Hao Yu , Zi-Chao Lin , Jin Li

Much of modern cosmology relies on the Cosmological Principle, the assumption that the Universe is isotropic and homogeneous on sufficiently large scales, but it remains worthwhile to examine cosmological models that violate this principle…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-01 Ananda F. Smith , Craig J. Copi , Glenn D. Starkman

In this letter, we propose a relationship between the so-called Hubble-Lema\^{i}tre constant $H_{0}$ and holographic complexity related to the emergence of spacetime in quantum gravity. Such a result can represent an important step to…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Carlos Silva

A new conception is proposed in Ref.\cite{Verlinde:2010hp,Padmanabhan:2009kr} that gravity is one kind of entropic force. In this letter, we try to discuss its applications to the modified gravities by using three different corrections to…

High Energy Physics - Theory · Physics 2011-08-05 Yi Zhang , Yun-gui Gong , Zong-Hong Zhu

In cosmic holography, the fundamental quantity is the degrees of freedom on a horizon surface rather than the material contents within the volume. That is, the horizon area and hence cosmological expansion rate H is related to the entropy.…

High Energy Physics - Theory · Physics 2007-05-23 Eric V. Linder

A general $f(\mathcal{R})$ gravitational theory is considered within the Palatini formalism. By applying the variational principle and the usual conditions on the boundary, we show explicitly that a surface term remains such that as in…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Diego Sáez-Chillón Gómez

We reconsider the options for cosmological holography. We suggest that a global and time--symmetric version of the Fischler-Susskind bound is the most natural generalization of the holographic bound encountered in AdS and De Sitter space. A…

High Energy Physics - Theory · Physics 2007-05-23 Richard Dawid

Higher-dimensional theories with time-like and space-like extra dimensions are compared both from the conceptual and from the phenomenological points of view. In this context causality and unitarity are discussed. It is shown that…

General Relativity and Quantum Cosmology · Physics 2007-07-11 Israel Quiros

In this paper we place new constraints on a f(R) modified gravity model recently proposed by Hu and Sawicki. After checking that the Hu and Sawicki model produces a viable cosmology, i.e. a matter dominated epoch followed by a late-time…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-09 Matteo Martinelli , Alessandro Melchiorri , Luca Amendola

A defining feature of holographic dualities is that, along with the bulk equations of motion, boundary correlators at any given time t determine those of observables deep in the bulk. We argue that this property emerges from the bulk…

High Energy Physics - Theory · Physics 2015-06-16 Donald Marolf

We generalize the known equivalence between higher order gravity theories and scalar tensor theories to a new class of theories. Specifically, in the context of a first order or Palatini variational principle where the metric and connection…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eanna E. Flanagan