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Open Questions in Physics Tareq Ahmed Research Assistant Physics Department, KFUPM. 7, Jan. 2007 1 The job of a theoretical physicist is to try to find the right answers for the good questions. 2 Typical Questions 1. Where and what is dark matter? 2. How massive are neutrinos? 3. What are the implications of neutrino mass? 4. What are the origins of mass? 5. Why is gravity so weak? 6. Why is the universe made of matter and not antimatter? 7. Where do ultrahigh-energy cosmic rays come from? 3 Outline • Classical Mechanics • Quantum Mechanics • The Theory of Radiation 4 Classical Mechanics • Indeterminate behavior in the collisions of point particles. Before v After v 5 Before v After v’ θ θ v’ Conservation of Kinetic Energy 0.5 m v2= 2*0.5 m v’2 Conservation of linear momentum m v= 2*m*v’ * cos(θ) v' v / 2 45 6 •Three equations Conservation of Energy (1) Conservation of Momentum (2) •And Four parameters !! ( v1 ' , v2 ' ,1 ' ,2 ' ) 7 The interaction between the particles have to be included to treat collisions between point particles. The laws of classical mechanics alone are not sufficient. 8 Quantum Mechanics ( A theory of observers) Anyone who is not shocked by quantum theory has not understood it. -Niels Bohr I think I can safely say that nobody understands quantum mechanics. -Richard Feynman 9 The Wavefunction A reality or a computational tool? Schrodinger Wavefunction: Dirac Spinor 10 A single wavefunction of the Universe! What is it? If [quantum theory] is correct, it signifies the end of physics as a science. Albert Einstein 11 The Concept of Superposition • Any model for the particle (or system) being in a superposition of different eigenstates? a1 1 a2 2 a3 3 ... 12 The Collapse of the wavefunction The "spooky action at a distance." • How does the wavefunction collapse upon measurement? a1 1 a2 2 a3 3 ... 13 The theory of quanta can be likened to a medicine that14 cures the disease but kills the patient. Hendrick Kramers Violation of the conservation of Energy Conserved or not conserved? This is the question ! •The uncertainty principle allows conservation of energy to be violated for a very short period! hw hw0 •Photons of frequencies not resonant with the atomic transition frequencies can still excite the atom for a very short periods !! 15 16 Quantum Tunneling How long does a particle take to tunnel through a quantum barrier? 17 Electron positron creation in vacuum e e+ e 18 The Nature of Quantum Jumps Are there quantum jumps ? "If we have to go on with these damned quantum jumps, then I'm sorry that I ever got involved!” E.Schrodinger • Do there exist phenomena that are truly spontaneous? Or do all phenomena, when investigated in depth, turn out to be deterministic? 19 20 Quantum Mechanics and Randomness Does Randomness Exist? • What is the source of randomness in quantum mechanics? • Can the world be deterministic but only our description is indeterminist? 21 How does an electron absorb a photon? Any physical picture? 22 23 Why doesn’t the electron in1s state fall on the proton? 24 The Most Beautiful Experiment in Physics "We choose to examine a phenomenon which is impossible, absolutely impossible, to explain in any classical way, and which has in it the heart of quantum mechanics.25In reality, it contains the only mystery.“ R.Feynman Fundamental Constants in Physics How Many? • What is the number of the truly fundamental constants 26 The identity of particles Do quarks have a well defined identity? The particle : mass :135 MeV 0 No. of quarks : 2 1 wavefuncti on : (uu dd) 2 •"If you cannot - in the long run - tell everyone what you have been doing, your doing has been worthless." - Erwin Schrodinger, Science and Humanism 27 And the result….. "I don't like it, and I'm sorry I ever had anything to do with it." - Erwin Shrodinger, speaking about quantum mechanics 28 The Theory of Radiation 29 Why two fields to describe the force between moving charges? • No single expression that describes the force between two charges in arbitrary motion. q1 v1 v2 r Gauss q2 What is the nature of magnetic fields? 30 The Quantization of the Electromagnetic Field H em 1 2 1 E H 2 2 2 31 How can a constant electric field be represented in terms of photons?? 32 Vacuum Fluctuations So much fluctuations!! Is this a beautiful universe? • Any model better than vacuum fluctuations? • Each theory has its own vacuum!! 33 How Are Photons Produced? 1. Electron Positron Annihilation 34 2. Transition between different atomic states 3. Transition between different vibrational or rotational modes of molecules 35 4. Charge acceleration e.g, Cyclotron radiation 36 Any pattern to unify all these processes? 37 Conclusion Behind it all is surely an idea so simple, so beautiful, that when we grasp it - in a decade, a century, or a millennium - we will all say to each other, how could it have been otherwise? How could we have been so stupid for so long? - John Archibald Wheeler 38 Acknowledgment I would like to thank Dr. Hucine Bahlouli, Dr. Abdulaziz Aljalal and Abdallah Baziyad for their valuable comments 39 Questions