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Exploring The Universe
Exploring The Universe

... • As galaxies approach each other, mutual gravitational attraction changes their shape. • Collisions of gas and dust may cause new stars to begin forming. ...
Geometry 1: Intro to Geometry Introduction to Geometry
Geometry 1: Intro to Geometry Introduction to Geometry

... 16. Which lines, if any, must be parallel based on the given diagram and information. Give the justification for each conclusion. Given: 13  12 ...
Hubble`s Constant - Scientific Research Publishing
Hubble`s Constant - Scientific Research Publishing

... some definite past time; in such a way that the expansion rate determines the age of the Universe. Hubble’s constant measures how fast is the process of the expansion, and it is involved in Hubble’s law. The larger the Hubble’s constant, the faster the expansion rate. Also, Hubble’s constant is a me ...
Review Sheet and Study Hints - Tufts Institute of Cosmology
Review Sheet and Study Hints - Tufts Institute of Cosmology

...  Is the universe finite or infinite (in what sense is it finite or infinite)? Does it have and edge, or a center?  What does it expand into (why is this a wrong question)? ...
Q1. Describe, in as much detail as you can: • the evidence that the
Q1. Describe, in as much detail as you can: • the evidence that the

... Describe how the wavelength and frequency of the sound waves heard by the student change when the car is driven away from the student. ...
How Big Is Our Universe? - Harvard
How Big Is Our Universe? - Harvard

... The Sun is so far away that it would take the Space Shuttle seven months to fly there. That’s why the Sun, which is one hundred times the diameter of the Earth, looks so small! Three hundred years ago, astronomer Edmund Halley found a way to measure the distance to the Sun and to the planet Venus. K ...
Non-Euclidean Geometry
Non-Euclidean Geometry

... •Cylindrical surface  Euclidean theorems continue to hold. •Model of Riemann’s non Euclidean geometry: spherical surface. ...
Eternal Inflation
Eternal Inflation

... In the standard big bang theory there is no explanation whatever for this uniformity. In fact, one can even show that within the context of the standard big bang theory, no explanation for this uniformity is possible. To see this, we need to understand a little about how this cosmic background radia ...
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Fractal Geometry

THE VIRTUAL INEVITABILITY OF SINGULARITIES IN
THE VIRTUAL INEVITABILITY OF SINGULARITIES IN

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Galaxies and the Universe

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My title

3rd EXAM VERSION A key - Department of Physics and Astronomy
3rd EXAM VERSION A key - Department of Physics and Astronomy

Article #1- How the Big Bang Theory Works
Article #1- How the Big Bang Theory Works

... Some people had a real problem with this theory. Among them was the famous physicist Albert Einstein. Einstein subscribed to the belief that the universe was static. A static universe doesn't change. It has always been and always will be the same. Einstein hoped his theory of general relativity woul ...
Class 28 (Jun 2) - Physics at Oregon State University
Class 28 (Jun 2) - Physics at Oregon State University

... moving away from us, perhaps due to some large explosion (The Big Bang.) ...
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1. - TeacherWeb

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The Evolution of the Universe - Western Washington University
The Evolution of the Universe - Western Washington University

(S. Lloyd 2001) - Digilander
(S. Lloyd 2001) - Digilander

... The previous paragraphs calculate the maximum number of operations that could be performed by the matter in the universe. What about the number of elementary operations that could be performed by the gravitational field? Care must be taken in estimating this number, as the Margolus-Levitin theorem t ...
Physical Relativism as an Interpretation of Existence
Physical Relativism as an Interpretation of Existence

Dark matter
Dark matter

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Slide 1

zero and infinity in the non euclidean geometry
zero and infinity in the non euclidean geometry

... The main difference between spherical geometry and Euclidean Geometry is that instead of describing a plane as a flat surface a plane is a sphere. On a sphere, the sum of the angles of a triangle is not equal to 180°. A sphere is not a Euclidean space, but locally the laws of the Euclidean geometry ...
Taxicab Geometry
Taxicab Geometry

... DEFINING TAXICAB DISTANCE Consider the coordinate plane as city blocks.  Taxicab may only travel along the city streets.  Distance is found by counting how many units one must travel to get from one point to another, moving only horizontally and vertically. ...
Lesson Plan 1
Lesson Plan 1

... Geometry the sum of angles of a triangle is 180. 3) States to the students that in Hyperbolic Geometry the sum of the angles of a triangle is less than 180. Show some examples. 4) States to the students that in Hyperbolic Geometry, all the axioms for neutral geometry hold, but the parallel postulate ...
Rhodri Evans - LA Flood Project
Rhodri Evans - LA Flood Project

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Shape of the universe



The shape of the universe is the local and global geometry of the Universe, in terms of both curvature and topology (though, strictly speaking, the concept goes beyond both). The shape of the universe is related to general relativity which describes how spacetime is curved and bent by mass and energy.There is a distinction between the observable universe and the global universe. The observable universe consists of the part of the universe that can, in principle, be observed due to the finite speed of light and the age of the universe. The observable universe is understood as a sphere around the Earth extending 93 billion light years (8.8 *1026 meters) and would be similar at any observing point (assuming the universe is indeed isotropic, as it appears to be from our vantage point).According to the book Our Mathematical Universe, the shape of the global universe can be explained with three categories: Finite or infinite Flat (no curvature), open (negative curvature) or closed (positive curvature) Connectivity, how the universe is put together, i.e., simply connected space or multiply connected.There are certain logical connections among these properties. For example, a universe with positive curvature is necessarily finite. Although it is usually assumed in the literature that a flat or negatively curved universe is infinite, this need not be the case if the topology is not the trivial one.The exact shape is still a matter of debate in physical cosmology, but experimental data from various, independent sources (WMAP, BOOMERanG and Planck for example) confirm that the observable universe is flat with only a 0.4% margin of error. Theorists have been trying to construct a formal mathematical model of the shape of the universe. In formal terms, this is a 3-manifold model corresponding to the spatial section (in comoving coordinates) of the 4-dimensional space-time of the universe. The model most theorists currently use is the so-called Friedmann–Lemaître–Robertson–Walker (FLRW) model. Arguments have been put forward that the observational data best fit with the conclusion that the shape of the global universe is infinite and flat, but the data are also consistent with other possible shapes, such as the so-called Poincaré dodecahedral space and the Picard horn.
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