Blurring the horizon - the quantum width of the cosmic event horizon

The Bekenstein-Hawking entropy gives the number of quantum degrees of freedom that can fluctuate, this leads to the idea of a quantum width of a horizon.

Comments

Remarks on the cosmological constant and minimal acceleration

As Lineweaver explained, because our Universe is expanding at an accelerating rate, our Universe has a cosmic event horizon (CEH). Its an event horizon Jim, but not as we know it...Image credit: DALL.E2 by SR Anderson Events beyond the CEH will never be observed. The CEH is also the source of de Sitter radiation, which has a specific temperature $T_{dS}$. It is the minimum possible temperature of the Universe, and, it is not absolute zero (zero Kelvins). Numerically $T_{dS} \approx 2.4 \times 10^{-30}K$, the universal minimum (black body) `absolute cold' local temperature of the future dS state. As a comparison, in 2020 the NASA Cold Atom lab was able to cool an atom to a record low $\sim 2 \times 10^{-7}K$. Now, in any theory one may think of temperature as an energy, and from the semi-classical Unruh relationship, temperature $\sim$ acceleration. Therefore: \begin{equation} \notag E_{dS} = T_{ds} \ k_B= \frac {\hslash a}{2\pi c} \end{equation} What we get from Unruh i

Our cosmic event horizon on a string

In this post, we introduced the idea that in the presence of a positive cosmological constant, there is a minimum (local) mass $m_{GR}$ McDormand swinging a cosmic light-like mass-energy $m_{GR}$, with a "cosmic string" of radius $l_{\Lambda}$, giving a centripetal force $F_{local}=m_{GR} \ c^2/l_{\Lambda}$. Let's think about that string for a bit. In fact, a great number of physicists have spent their entire careers tied up unraveling string theory . For a classical string, which lives in D = 10 dimensions, associated with Nambu-Goto action, the the string tension $T_G$ is a local force, or energy per unit length (dimensions $MLT^{-2}$): \begin{equation} \notag T_G = \frac{1}{2\pi \alpha \prime} \end{equation}$\alpha \prime$ is the Regge slope parameter, set here with dimensions of inverse force. The wavelength of the stringy mass-energy standing wave (such that it does not interfere with itself), is the circumference of the circle, and we know it moves at l

Dark photons and the Universal ground-state energy

In a previous post we introduced the idea that our current Universe has boundary conditions. Classical 1+1 dS space-time visualized as basketball hoop, with the up/down slam-dunk direction being the time dimension, and the hoop circumference the space dimension. We also showed a diagram similar to Figure 1 below. Except here, we are once again thinking about the future dS state . Figure 1 . For an observer at O inside the cosmic event horizon (CEH) with radius $l_{\Lambda}$, the universe can be divided into two sub-vacuums, $(A)$ inside the CEH, and $(B)$, outside. The horizon surface $\Sigma$ has entanglement entropy $S_{dS}$ and rest energy $E_H$ Figure 2. The maximum entropy of the Universe (credit: Lineweaver ). Now, a comoving volume partition of the Universe can be treated as a closed system for which $dS \geq0$. The maximum entropy of a closed system, in this case ( Figure 2 ) with $L=2 \pi l_{\Lambda}$, the circumference of a circle with radius $l_{\Lambd

What have electrons, black holes and Clifford Algebra ever done for us?

Search This Blog