Figure 3 - uploaded by Swapnamay Mondal
Content may be subject to copyright. # A comoving object in de Sitter space and its past light cones at conformal times τ and τ + δτ.

Source publication
Article
Full-text available
In a metastable de Sitter space any object has a finite life expectancy beyond which it undergoes vacuum decay. However, by spreading into different parts of the universe which will fall out of causal contact of each other in future, a civilization can increase its collective life expectancy, defined as the average time after which the last settlem...

## Contexts in source publication

Context 1
... a single object in de Sitter space at rest in the comoving coordinate x (say at x = 0), shown by the vertical dashed line in Fig. 3. We start at t = 0 (τ = −1) and are interested in calculating the probability that it survives at least till conformal time τ. If we denote this by P 0 (τ) then the probability that it will decay between τ and τ + δτ is −P 0 (τ)δτ where denotes derivative with respect to τ. On the other hand this probability is also given by the ...
Context 2
... we denote this by P 0 (τ) then the probability that it will decay between τ and τ + δτ is −P 0 (τ)δτ where denotes derivative with respect to τ. On the other hand this probability is also given by the product of P 0 (τ) and the probability that a vacuum bubble is produced somewhere in the past light cone of the object between τ and τ + δτ, as shown in Fig.3. The volume of the past light cone of this interval can be easily calculated to be Therefore, if K is the probability of producing the bubble per unit space-time volume then the probability of producing a bubble in the past light cone of the object between τ and τ + δτ is given by −2Kδτ/τ. ...
Context 3
... consider the case of an isolated object. The calculation proceeds as in §3.1. However, in computing the volume of the past light cone in Fig. 3 we have to take into account the fact that for each σ, the light cone is a sphere of radius (τ − σ). Since the coordinate radius of the sphere is (τ − σ) and the space-time volume element scales as 1/σ 4 we get the volume of the past light cone of the object between τ and τ + δτ to ...

## Similar publications

Article
Full-text available
By invoking inverse temperature as a van Kampen-Isreal future-directed timelike 4-vector, this paper derives the Relativistic Blackbody Spectrum, the Relativistic Wien's Displacement Law, and the Relativistic Stefan-Boltzmann Law in inertial and non-inertial reference frames.
Article
Full-text available
We express the in-in functional determinant giving the one-loop effective potential for a scalar field propagating in a cosmological spacetime in terms of the mode functions specifying the vacuum of the theory and then apply adiabatic regularization to make this bare potential finite. In this setup, the adiabatic regularization offers a particular...
Article
Full-text available
In this paper, we address a possible impact of radiative corrections from a heavy scalar field $\chi$ on the curvature perturbation $\zeta$. Integrating out $\chi$, we derive the effective action for $\zeta$, which includes the loop corrections of the heavy field $\chi$. When the mass of $\chi$ is much larger than the Hubble scale $H$, the loop cor...
Article
Full-text available
We examine the spatial extrema (local maxima, minima and saddle points) of the covariant scalars (density, Hubble expansion, spatial curvature and eigenvalues of the shear and electric Weyl tensors) of the quasi-spherical Szekeres dust models. Sufficient conditions are obtained for the existence of distributions of multiple extrema in spatial comov...
Article
Full-text available
We consider the holographic principle in the case of standard General relativity theory. We show that at least in the case of vacuum Petrov type D spacetimes that admit a non-trivial Killing tensor and which encompass all the astrophysical black hole spacetimes, it is equivalent to the null initial value theorem for general relativity.

## Citations

... the number of membranes that hit an observer per unit time. We will now do so by geometric means, as in . ...
... This equation gives the probability that a bubble which was born at conformal time τ 0 actually makes it to conformal time τ (see ). In terms of proper time, we have ...
Preprint
A number of Swampland conjectures and in particular the Trans-Planckian Censorship Conjecture (TCC) suggest that de Sitter space is highly unstable if it exists at all. In this paper we construct effective theories of scalars rolling on potentials which are dual to a chain of short-lived dS spaces decaying from one to the next through a cascade of non-perturbative nucleation of bubbles. We find constraints on the effective potential resulting from various swampland criteria, including TCC, Weak Gravity Conjecture and Distance Conjecture. Surprisingly we find that TCC essentially incorporates all the other ones, and leads to a subclass of possible dual effective potentials. These results marginally rule out emergence of eternal inflation in the dual effective theory. We discuss some cosmological implications of our observations.
... The work discusses these points in great detail, including implications for holography. Related lifetimes for dS or general FLRW spacetimes are also discussed in. We thank Ashoke Sen for brining these subtleties and references to our attention.5 ...
Article
Full-text available
A bstract Constructing an explicit compactification yielding a metastable de Sitter (dS) vacuum in a UV consistent string theory is an incredibly difficult open problem. Motivated by this issue, as well as the conjecture that all non-supersymmetric AdS vacua must decay, we discuss the alternative possibility of realizing an effective four-dimensional dS cosmology on a codimension-one bubble wall separating two AdS 5 vacua. The construction further elaborates on the scenario of arXiv:1807.01570 , where the aforementioned cosmology arises due to a non-perturbative decay and is embedded in a five-dimensional bulk in a time­ dependent way. In this paper we discuss the relation between this scenario and the weak gravity conjecture and further develop the details of the four-dimensional cosmology. We provide a bulk interpretation for the dS temperature as the Unruh temperature experienced by an accelerated observer riding the bubble. A source of four-dimensional matter arises from a string cloud in the bulk, and we examine the consequences for the particle mass spectrum. Furthermore, we show how effective four-dimensional Einstein gravity on the bubble is obtained from the five-dimensional Gauss equation. We conclude by outlining some implications that this paradigm will have for holography, inflation, the standard model, and black holes.
...  ). When discussing the future of our Universe and illustrating how a continuing accelerated expansion would look like, one again appeals to "future cosmology" in both research  and popular science articles.  A lot of research and popular literature has been devoted to the subject of habitable planets, where one often "depicts" how life would look like with different kinds of suns 18 including "life in the early Universe". ...
Article
Full-text available
It is generally believed that in the epoch prior to the formation of the first stars, the Universe was completely dark (the period is therefore known as the Dark Ages). Usually the start of this epoch is placed at the photon decoupling. In this work we investigate the question whether there was enough light during the dark epoch for a human eye to see. We use the black body spectrum of the Universe to find the flux of photon energy for different temperatures and compare them with visual limits of blindness and darkness. We find that the Dark Ages actually began approximately 5 million years later than commonly stated.
Article
A number of Swampland conjectures and in particular the Trans‐Planckian Censorship Conjecture (TCC) suggest that de Sitter space is highly unstable if it exists at all. In this paper we construct effective theories of scalars rolling on potentials which are dual to a chain of short‐lived dS spaces decaying from one to the next through a cascade of non‐perturbative nucleation of bubbles. We find constraints on the effective potential resulting from various swampland criteria, including TCC, Weak Gravity Conjecture and Distance Conjecture. Surprisingly we find that TCC essentially incorporates all the other ones, and leads to a subclass of possible dual effective potentials. These results marginally rule out emergence of eternal inflation in the dual effective theory. We discuss some cosmological implications of our observations.