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Original Papers on Cosmology

sayak83

Veteran Member
Staff member
Premium Member
I thought it would be a good idea to produce a thread linking important papers on cosmology as a reference as its an endless source of debate and confusion. My own grasp of the topic is limited as a chemist does not really need to know GR. So my commentary would be superficial. Others are free to add details. I am providing links to pdf which are not behind pay wall.

Original paper by Lemaitre (1927) on the expanding universe solution of Einstein equations.

- Google Scholar

While Friedmann (https://en.m.wikipedia.org/wiki/Friedmann_equations) is rightly credited with developing the solutions for Einstein's field equations that are applicable for various universes (that is various types of space-time-matter-radiation combinations that satisfy GR), it's Lamaitre who produced a simple set of physically interpretable universes that could be used by cosmologists to interpret and test various theories about the cosmos. He combined the expanding universe solutions to Einstein's equations developed by Friedman with redshift data from Hubble, explaining as a Doppler effect due to stretching of space. He showed that such a universe has no center or edge (see the paper above) though it can be finite or infinite. He also showed that Einstein's equations have a very simple physical interpretation as conservation of energy and thermodynamic interplay between mass and radiation pressure. He also provided the first calculation of the expansion rate of space and determined the value of the "Hubble" constant two years before Hubble himself. He found many valid solutions to the Einstein equation, but one he favored the most was the "Lemaitre" universe which had expanded from a very hot, dense state through high radiation pressure, slowed down due to gravity and then accelerated again due to repulsive pressure due to cosmological constant. A modified version of this Lamaitre universe is the current best theory of the universe today describing the period after inflation.
FigC_45.jpg


There was an interesting controversy as to why Hubble got the credit for both the Hubble constant and the Hubble law when Lamaitre derived them first in the 1927 paper. It now appears that Lamaitre himself considered Hubble, who did the experimental work of galaxy redshift, to have the first claim on analysis of his own data, and hence dropped his derivation based on Hubble's early work in later and more popular English reprints of his paper in the Royal Astronomy Society journal. Good for him.
 
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Polymath257

Think & Care
Staff member
Premium Member

YmirGF

Bodhisattva in Recovery
There was an interesting controversy as to why Hubble got the credit for both the Hubble constant and the Hubble law when Lamaitre derived them first in the 1927 paper. It now appears that Lamaitre himself considered Hubble, who did the experimental work of galaxy redshift, to have the first claim on analysis of his own data, and hence dropped his derivation based on Hubble's early work in later and more popular English reprints of his paper in the Royal Astronomy Society journal. Good for him.
It takes an awfully big man to make such a huge admission. Kudos to Lamaitre!
 

sayak83

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Staff member
Premium Member
I have found the full paper that accompanied the first detection of the cosmic microwave background radiation, the first definitive proof of the Big Bang.

1965ApJ...142..414D Page 416
The paper is severely tentative, showing how little was really known 40 years ago. But it proposes many of the things that turn out to be eventually vindicated. A low mass density with 25% conversion to Helium in the Big Bang as well as an open and accelerating universe starting either from a previous bounce or a "singularity". The important work by Gamow done in the 1950 is also referred.

On the origin of chemical elements


In the first few seconds after the big bang, the universe was very hot and dense, making it fully ionised — all of the protons, neutrons and electrons moved about freely and did not come together to make atoms. Only three minutes later, when the universe had cooled from 10^32 to 10^9 °C, could light element formation begin.

At this point, electrons were still roaming free and only atomic nuclei could form. Protons were technically the first nuclei (when combined with an electron they make a hydrogen atom) and deuterons were the second. Deuterons are the nuclei of deuterium and are made when protons and neutrons fuse and emit photons.

Deuterons and neutrons can fuse to create a tritium nucleus with one proton and two neutrons. When the tritium nucleus comes across a proton the two can combine into a helium nucleus with two protons and two neutrons, known as He-4. Another path that leads to helium is the combination of a deuteron and a proton into a helium nucleus with two protons but only one neutron, He-3. When He-3 comes across a neutron, they can fuse to form a full helium nucleus, He-4. Each step in these reactions also emits a photon.

Photon emission can be a slow process, and there is a set of reactions that take deuterons and create helium nuclei faster because they bypass the emission of photons. They start by fusing two deuterons and the end result is a He-4 nucleus and either a proton or a neutron, depending on the specific path.

Lithium and beryllium were also made in very small amounts. This whole process was over 20 minutes after the big bang, when the universe became too cool and sparse for nuclei to form.

altbbn.jpg


The vertical line shows the matter density of the universe and the % of each element is predicted from where the curves meet the shaded area. This value matches perfectly with observations of element composition in the early universe.
 
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