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Published byBethany Floyd Modified over 9 years ago
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The Big Bang Necessary? –Expansion of the Universe –Origin of CMBR 400 photons/cc Black body temperature profile –Helium content Universal nucleosynthesis (like a star) Basics –Universe was hotter, denser in the past
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A few assumptions –Universe is a closed system Physically Heating/cooling – adiabatic –Treat like an adiabatic fluid (easy!) Energy of the Universe E=kT Second law of Thermodynamics E=p V Change in energy depends on change in volume Pressure defined p = 1/3 e e=energy density – all radiation early on
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Energy of light e f =hf So energy density = e f /volume So the energy of the Universe goes down as the size goes up Since E=kT, the temperature goes down as it expands Energy = all energy Photons, mass (via E=mc 2 ), velocity, gravity, etc…
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Zero-th Step Time <0 Anything before the BB? How could we tell? Where could we look?
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Time=0 What’s it like? Don’t know… Gravity + QED = Quantum Gravity = ? Haven’t figured it out yet
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Time=10 -43 sec Time=Planck time Based on quantum physics principles Temperature = 10 32 K Density = 10 93 gm/cc Scale = very small Interactions between energy/matter Quantum physics (QED), gravity – separate Can use them to describe characteristics of the Universe How?
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Some boring math… Planck lengths, time, masses… Okay what does that mean? Have to define some more stuff….
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Compton time – time for a mass to violate conservation of energy law This activity is known as “quantum fluctuations” Formation of particles (matter/anti-matter) out of energy, quick destruction Happens over a quantum length (Compton length)
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Schwarzschild Radius – “size” of a black hole Schwarzschild Time – time for a photon to travel across a black hole This defines the realm of “gravity”
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2 types of ways to describe the Universe –Planck length, time = QED –Compton length, time = QED –Schwarzschild length, time = gravity The way these are related defines who is in charge – gravity or QED Funny feature: a Planck mass into the formula for Compton, Schwarzschild lengths = Planck length Also, all times are equal. Meaning? Planck mass = black hole that exists for Planck time!
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If mass>Planck mass Enter the realm of gravity (relativity), QED not important If mass<Planck mass QED important, gravity loses. This time, this mass, this realm is when there are two separate forces – gravity, GUT GUT = grand unified theory (QED laws)
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So what is REALLY happening? Mini-black holes can come into/out of existence Gravity brings them into being Hawking radiation destroys them Particles (non-black holes) come into/out of existence (Compton stuff) Have energy, some particles, strange things going on – still not easy to define (or understand).
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Time=10 -35 sec During GUT – quarks, leptons identical Now the GUT breaks down into Strong nuclear force (quarks force) Electoweak force (lepton/photon force) Breaks “symmetry” of the Universe “Freezing out” of forces – loss of freedom Release of energy (vacuum energy) Inflation starts Quarks form (along with anti-quarks)
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Time=10 -32 sec End of Inflation After inflation, size of Universe increased by factor of 10 50 Really? Expains uniformity of Universe Flatness of Universe
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Time=10 -12 sec Another symmetry breaking Electroweak force breaks down into electromagnetic force weak nuclear force Leptons/anti-leptons form Universe full of energy (photons), quarks, leptons
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Time=10 -10 sec Quarks win over anti-quarks Another symmetry breaking! Protons/neutrons can form Interactions between all sorts of things Not what happens today Neutrinos forced into interactions
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Time=10 -5 sec End of neutrino interactions Universe too cool (10 billion K) Neutrinos still out there! Where are they?
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Time=1-3 Minutes Nucleosynthesis Universe Temperature = Stellar interior Protons, Neutrons combine to make –H 2, H 3 (Deuterium, Tritium) –He 3, He 4 –Li 6, Li 7, Be 7 End composition: 75% p + (H), 25% He 4 (~0.01% - the rest) Gravity starts to become noticeable
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Time = 1 year Energy and Matter starting to diverge Cooling down at their own rates Energy (photons) – cooled by the expansion Matter – temperature determined by photons, fewer interactions
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Time=380,000 years Era of Decoupling Energy + Matter intertwined before now After this, they go their separate ways Energy of photons too low to interact effectively Universe becomes “transparent” to radiation Matter (gravity) controls Universe
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Time <1 billion years Galaxy Formation/Cluster formation? Proto-galaxy formation? Something is starting to happen…. This would be the epoch of the largest observable redshifts Might have missed a previous step (or two)
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Time = Now You’re looking at this. End of story (for now)
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