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-Infinite universe: no boundaries to spacetime; space goes on forever
-Flat infinite universe: 3-dimensional space goes on in all directions
-Hyperbolic universe: universe is a "saddle-shaped" hyperbolic paraboloid
-Finite universe: amount of space in universe is limited
-Disc universe: there exists a 3-dimensional edge to the universe
-Spherical universe: universe shaped like a "sphere"
-Torus universe: going in a straight line eventually leads to where you began
Three Curvature Models
Disc universe
"3-torus" model
-Dark energy density is constant throughout space and time
-Matter (visible + dark) and radiation (light + neutrinos) spread out over time
Densities of matter and dark energy in the universe over time
-Recollapsing universe (spacetime expansion eventually reverses)
-Critical universe (spacetime expansion gradually stops)
-Coasting universe (spacetime expansion stays constant)
-Accelerating universe (spacetime expansion accelerates over time)
-Non-exponential acceleration
-Exponential acceleration
Rough diagrams of what each universe model looks like
-Matter density (Omega-M) governs the force of gravity in the universe
-Dark energy density (Omega-Lambda) works against gravity
-Their ratio determines the ultimate fate of the universe
Different projections of the universe's fate based on matter-dark energy ratio
-Universe must be closed and/or finite
-Matter/radiation concentration greater than dark energy concentration
-Gravity overpowers the force of dark energy
-Universe's expansion reverses itself
-Galaxies merge with each other
-CMB radiation rapidly heats up
-Stars "cooked" from the inside
-Atoms and their nuclei break apart
-Black holes merge and swallow everything
-Universe collapses into a singularity
-Universe is repeating and eternal (has existed forever)
-After Big Crunch, singularity will undergo a Big Bang again
Simplified diagram of the "eternal" cyclical universe model
-Universe must be open and infinite
-Accelerating universe model
-Dark energy concentration is substantially greater than matter concentration
-Dark energy causes spacetime to expand, causing dark energy to increase
-Dark energy increases to infinity in a finite amount of time
-Galaxies separate from each other
-Galaxies/star systems fall apart
-Stars/planets explode due to lack of gravity
-Electric/nuclear forces fail; atoms/nuclei disintegrate
-Spacetime ripped apart
Timeline of the Big Rip
-Subcategory of "Big Rip" scenario
-There is energy within spacetime; hence "false vacuum"
-A "true vacuum" has little to no energy within space
-It likely cannot sustain atoms/molecules
-Anything with energy is "unstable"
-A quantum process may occur, lowering the energy state in a "quanta" of space
-The process spreads out at the speed of light
-Whole universe collapses into true vacuum
-Part of the universe may survive if spacetime expansion speed is greater than the speed of light
A quantum tunneling process allows a quanta of space to reach a lower energy state.
-Generally accepted concensus on the end of the universe
-Universe cannot be "closed"
-Universe must be "infinite"
-Very far into the future
-Matter/radiation to dark energy ratio must not be too high/too low
Timeline of the far future according to the "Heat Death" theory
-Most accepted model of the "Heat Death"
-Local galaxies merge
-larger structures fall apart
-Stars burn out
-No new stars created due to lack of nebulae
-Galaxies/star systems collapse
-White dwarfs eventually fade
-Black holes dissipate
-Atoms/nuclei eventually decay
-Nothing left except for sparcely spread particles
-Universe "temperature" approaches absolute zero
-"Big Rip" may occur in the far future
-The universe can end in many different ways
-The topology of the universe determines whether it decelerates or continues to expand:
-Open, infinite universe: coasting or accelerating
-Closed, infinite universe: critical or decelerating
-Closed, finite universe: critical or decelerating
-The ratio of matter/radiation to dark energy is a very important factor:
-More dark energy than matter: Big Rip
-More matter than dark energy: Big Crunch
-Roughly equal proportions: Big Freeze/Heat Death
-Vacuum decay can happen at any time and is unpredictable
-As knowledge of physics/astronomy improves over time, some endings may be ruled out
Topology: the "shape" of the universe in higher dimensions
Spacetime: "space" and "time" combined; the "fabric" of the universe
Dark energy: a force, presumably a property of space, that works against gravity
Density: the average concentration of matter/radiation/dark energy across the universe
Hyperbolic paraboloid: a 3- or higher-dimensional shape, roughly analagous to a saddle shape
3-torus: a 4-dimensional structure formed by connecting the opposite ends of a cube
Dark matter: matter that only inteacts through gravity and emits no light; thought to account for ~90% of matter in universe
Neutrino: a particle that, like light, is a form of radiation; unlike photons of light, it has mass
Omega-M: the density of matter throughout the universe
Omega-Lambda: the density of dark energy in spacetime
Big Crunch: a hypothetical event where the universe collapses into a singularity
Singularity: a structure of infinitesimal size and infinite density, such as a black hole
CMB radiation: Cosmic Microwave Background; radiation produced by the Big Bang
Big Bounce: a model of the universe where a Big Crunch is followed by another Big Bang
Big Rip: a hypothetical event where spacetime and its contents are ripped apart by dark energy
False Vacuum: the current state of a "vacuum"; its space still contains energy
True Vacuum: a hypothetical form of space that contains very little or no energy
Quantum tunneling: a spontaneous "teleportation" on the quantum scale to a different location/state of existence
False Vacuum Decay: an event where a true vacuum is produced via quantum tunneling, and spreads at the speed of light in all directions
Big Freeze: the generally accepted theory of how the universe will end; everything reaches equilbrium and energy transfer becomes impossible