
Open, Flat & Closed Universes: Curvature Explained
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Standard cosmological models are classified by spatial curvature into three broad types: open, flat, and closed universes. These correspond to negative,…

Dark Energy Part 3: Fitting the SCP Union 2.1 Supernova Data
In Part 1 of this 3-part series, I explained kinematics in Einstien-deSitter (EdS) cosmology and in Part 2, I explained kinematics in ##\Lambda##CDM cosmology…

Dark Energy Part 2: LCDM Cosmology
This is Part 2 of a 3-part series explaining evidence for so-called “dark energy” leading to a current positive cosmological acceleration. The evidence…

Dark Energy Part 1: Einstein-deSitter Cosmology
In this 3-part series, I want to motivate the (re)introduction of the cosmological constant ##\Lambda## into Einstein's equations of general relativity…

Big Bang Evidence: CMB, Redshift & Element Abundances
Big Bang: Key PointsHubble's law (redshift of galaxies) and the Doppler effect provide direct evidence that the universe is expanding away from our…

Cosmic Web Connectivity: How It Shapes Galaxy Evolution
Introduction
The universe was not perfectly uniform at the beginning; some regions had higher density than others.
Over time these higher-density regions…

A Formal Definition of Large-Scale Isotropy
This Insight is part of my attempt to develop a formal definition of 'large-scale isotropy', a concept that is fundamental to most cosmology, but that…

Intro to the Big Bang and Infinity Concepts
In the cosmology section of the Physics Forums, I encountered many Big Bang and related infinity problems. Hence, in this article, I want to explain the…

Learn About the FLRW Metric and The Friedmann Equation
Previous Chapter: A Journey Into the Cosmos – The Friedmann Equation
Chapter 2- FLRW Metric and The Friedmann Equation
In…

Explore Coordinate Dependent Statements in an Expanding Universe
In this Insight, we will discuss the general Robertson-Walker (RW) universe, in which a set of co-moving observers with proper time ##t## observe the universe…

Learn About the Friedmann Equation and the Cosmos
This is an introduction to cosmology for someone who has some knowledge of calculus and basic physics. In this tutorial, we will take a journey into the…

A Poor Man’s CMB Primer: Quantum Seeds
The CMB establishes a record of ancient acoustic oscillations in the baryon-photon plasma. We've been studying how these primordial sound…

A Poor Man’s CMB Primer: Cosmic Acoustics
Before decoupling, photons and charged particles were in good thermal contact: though the primordial plasma might have varied in temperature…

Did the Big Bang Have a Center? Explaining Cosmology
Did the Big Bang Have a Center?
What the standard models say
According to standard cosmological models based on general relativity — and which agree…

Big Bang Models: Expansion, Dark Energy, Inflation
Big Bang and expansion (no inflation, no dark energy)
Empty-universe solution (FLRW)
Einstein's General Relativity allows a solution (the FLRW metric)…

LightCone 8 Tutorial Part III – How Things are Computed
In Part I and Part II of this mini-series, we have briefly discussed the basic user interface and the use of charts to depict the LCDM cosmological model.…

At What Velocity Does the Universe Expand and Can It Be Faster than Light?
Neither of these questions makes sense in the form in which it was posed. To see why, let's start by thinking about how we know the universe is expanding.The…

Knut Lundmark and the Forgotten Dark Matter Discovery
Background: textbook accounts
Look in your standard cosmology textbook (in my case, the closest one at hand is Barbara Ryden's Introduction to Cosmology)…

LightCone8 Tutorial Part II – Charts
Part I dealt with the basic user interface of LightCone8. This part of the tutorial is about potentially useful cosmological insights to be gained from…

Evidence that Galaxy and Quasar Redshifts Are Cosmological
How do we know that the redshifts of galaxies and quasars are cosmological and not "intrinsic"?
Evidence for the cosmological interpretation
Historical…

LightCone8 Tutorial Part I
LightCone 8 is a versatile tabulating/charting cosmological calculator, useful for understanding the expansion history of the universe (and even some future…

Was the Early Universe in a Disordered State?
No. The second law of thermodynamics says that entropy can only increase, so if the early universe had been in a state of maximum entropy, then the cosmos…

Why the Observable Universe Radius Exceeds Its Age
The radius of the observable universe is about 46 billion light-years, which is considerably greater than its age of about 14 billion years. The radius…

What Is the Steady-state Model and Why It’s No Longer Viable
Introduction to the Steady State Model
Back in 2011, I wrote a FAQ entry for Physics Forums on the steady state model and why it is no longer viable.…

Why the Early Big Bang Universe Didn’t Form a Black Hole
Why the Big Bang Is Not a Black Hole
In the early universe, the matter was gathered together at very high density — so why wasn't it a black hole?Big…

Is the Universe Rotating? Evidence, Tests & Limits
Can we tell whether the universe is rotating?
If you believe wholeheartedly in Mach's principle, there is no way to test empirically for the rotation…

A Poor Man’s CMB Primer: Bumps on a Blackbody
Astronomers Arno Penzias and Robert Wilson discovered the cosmic microwave background in 1965. They were not looking for it.They were…

A Poor Man’s CMB Primer: The Birth of a Cosmic Background Radiation
The early universe was hot. So hot that nuclei boiled. The great thermal energy of the universe overwhelmed the confining efforts of the…

Balloon Analogy Explained: Cosmology, Expansion & Limits
The Balloon Analogy is a straightforward way to illustrate — without being complete — two important points of modern cosmology that many people find…

A Poor Man’s CMB Primer: Orientation of the Universe
This is a picture of the cosmic microwave background:Fig 1. The cosmic microwave background as seen by the European Space Agency's…

Inflationary Misconceptions and the Basics of Cosmological Horizons
Introduction
It is a common saying that during inflation "space expanded faster than the speed of light." This statement is meant to articulate the…

Will All Matter Be Converted to Photons?
Will all matter be converted into black holes and then photons?
No. There is a misconception that a lot of laypeople seem to be picking up recently from…

Approximate LCDM Expansion in Simplified Math (Part 4)
Part 4: Cosmic Recession Rates
An astronomer, accompanied by his amateur relativist friend, aimed a telescope at a distant galaxy and measured…

The LCDM Cosmological Model in Simplified Math (Part 3)
Part 3: Important Cosmological Horizons and Distances
A question that often comes up is: "how big is the observable universe?"The question…

Approximate LCDM Expansion in Simplified Math (Part 2)
Part 2: Time and Distance
In Part 1 we have seen how one of the simplest ways of expressing the fractional expansion rate of the universe,…

Approximate LCDM Expansion in Simplified Math
If we restrict ourselves to a spatially flat LCDM universe model (and ignore the early radiation energy density), the first Friedmann equation…
