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Temporal paradoxes                                    John AshmeadTemporal Paradoxes - John Ashmead         1   http://www...
CBS News: March 16, 2011 1:39 am         Can atom smasher double as time machine?         Inside the Large Hadron Collider...
Basic equation                           General relativity                         + Quantum mechanics                   ...
Why look at this?                   •Interesting question                   •Sheds light on both general relativity &     ...
A, B, & C meet at P                                        tC        tA         tB•A at rest•B going right, B says     P &...
General relativity                   •Time is variable                   •Wormholes                   •Paradoxes          ...
Time is variable                   •Time dilation                   •Gravitational red shift                   •Frame drag...
Relativistic time dilation        •At high speeds,               particles seem to               be using slower          ...
Gravitational red shift        •Photon swimming                up stream loses                energy        •Looks as if t...
Gravity Probe BTemporal Paradoxes - John Ashmead   10   http://www.timeandquantummechanics.comMonday, March 21, 2011      ...
Very massive ballerinasTemporal Paradoxes - John Ashmead   11   http://www.timeandquantummechanics.comMonday, March 21, 20...
Wormholes                   •Can be used for faster than light travel                   •Built using black holes & math gl...
Wormholes, Time Machines,            and the Weak Energy                 Condition          Morris, Thorne, & YurtseverTem...
Wormhole time machine            Relativistic speed            Enormous gravityTemporal Paradoxes - John Ashmead   14   ht...
Billiards with wormholes       Future mouth                                               1        Past mouth             ...
Paradoxes                           •Grandfather paradoxes                           •Bootstrap paradoxes                 ...
Grandfather paradoxes                                                      1’                                             ...
Bootstrap paradoxes       Future mouth                                   Where did the                                    ...
Plausibility paradoxes                                                         Billiard ball hits                         ...
Chronology Protection                 Agency                   It seems that there is a Chronology                   Prote...
Weak energy                               condition                   •If averaged energy positive, no                    ...
Novikov consistency                         conjecture  …the only solutions to the laws of physics  that can occur locally...
Quantum mechanics                   •LHC may produce time machines                   •Quantum mechanics                   ...
Large Hadron Collider                  & Time Machines                  •Evanescent wormholes                  •Higgs sing...
Three papers        •If LHC is a Mini-Time-Machines Factory, Can                We Notice?                — Mironov, Moroz...
Mironov, Morozov, & Tomaras •Frequency filtration                    0 or more time circuits •Unexpectedly        energetic...
Quantum mechanics                     •Single slit & double slit experiments                     •Sum over paths          ...
Single slit experiment                                         •Granular in small                                         ...
Double slit experiment                                         •Interference                                           pat...
Sum over pathsTemporal Paradoxes - John Ashmead   30   http://www.timeandquantummechanics.comMonday, March 21, 2011       ...
Different rules for particles & us?         Aren’t we made of particles?Temporal Paradoxes - John Ashmead   31   http://ww...
Typology of time machines                                         0 or more time circuits•Self-consistency•Time travel or ...
Very simple time                             machine                   •Requirements                   •Construction of th...
Requirements 1) Locally reasonable                   Free will 2) Globally self-consistent             No paradoxes 3) Rea...
Mark I Time Machine                                        Lab                                                           W...
Four cases                         Decision                         Effect                                      Success,  ...
Time machine, lab, &                       world qubits                                    QT ⊗ QL                        ...
The world as matrix                                       0 0                       1 1                               ...
Quantizing the world             •For success & failure, there is no impact of                     the decision: the decis...
A Market for Paradox         Day 1                 Day 2               Day 7               Day 8                         U...
Applications     •Tests of the intersection            of general relativity &            quantum mechanics     •Implicati...
Radical conservatism                                                                          Lab                         ...
Thanks!        •Brent Warner        •Ferne Cohen Welch        •NASA        •Jonathan Smith, Ed & Marguerite Rutkowski,    ...
Author                                  Title                             Year                 Thorne                    B...
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Temporal Paradoxes

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Talk on Temporal Paradoxes and their resolution the framework of current thinking on quantum mechanics. Given at NASA's Goddard Space Center 2011.

Published in: Technology, Travel
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Transcript of "Temporal Paradoxes"

  1. 1. Temporal paradoxes John AshmeadTemporal Paradoxes - John Ashmead 1 http://www.timeandquantummechanics.comMonday, March 21, 2011 1
  2. 2. CBS News: March 16, 2011 1:39 am Can atom smasher double as time machine? Inside the Large Hadron Collider. A view of the CMS, or Compact Muon Solenoid (Credit: SteMaximilien Brice/CERN)Temporal Paradoxes - John Ashmead 2 http://www.timeandquantummechanics.comMonday, March 21, 2011 2
  3. 3. Basic equation General relativity + Quantum mechanics Time machineTemporal Paradoxes - John Ashmead 3 http://www.timeandquantummechanics.comMonday, March 21, 2011 3
  4. 4. Why look at this? •Interesting question •Sheds light on both general relativity & quantum mechanics •May help reconcile themTemporal Paradoxes - John Ashmead 4 http://www.timeandquantummechanics.comMonday, March 21, 2011 4
  5. 5. A, B, & C meet at P tC tA tB•A at rest•B going right, B says P & Q are “now” xB e nt R res ’s p•C going left, C says B A’s presentx P & R are “now” A C’s pres Q ent•Are Q & R both P xC “now”???Temporal Paradoxes - John Ashmead 5 http://www.timeandquantummechanics.comMonday, March 21, 2011 5
  6. 6. General relativity •Time is variable •Wormholes •Paradoxes •Consistency principlesTemporal Paradoxes - John Ashmead 6 http://www.timeandquantummechanics.comMonday, March 21, 2011 6
  7. 7. Time is variable •Time dilation •Gravitational red shift •Frame draggingTemporal Paradoxes - John Ashmead 7 http://www.timeandquantummechanics.comMonday, March 21, 2011 7
  8. 8. Relativistic time dilation •At high speeds, particles seem to be using slower clocks •We seem slower to them •Subtracts 7 ms/ day from GPS clocksTemporal Paradoxes - John Ashmead 8 http://www.timeandquantummechanics.comMonday, March 21, 2011 8
  9. 9. Gravitational red shift •Photon swimming up stream loses energy •Looks as if time is slower on surface •Adds 45ms/day to GPS clocksTemporal Paradoxes - John Ashmead 9 http://www.timeandquantummechanics.comMonday, March 21, 2011 9
  10. 10. Gravity Probe BTemporal Paradoxes - John Ashmead 10 http://www.timeandquantummechanics.comMonday, March 21, 2011 10
  11. 11. Very massive ballerinasTemporal Paradoxes - John Ashmead 11 http://www.timeandquantummechanics.comMonday, March 21, 2011 11
  12. 12. Wormholes •Can be used for faster than light travel •Built using black holes & math glue •Can be used as time machines •And as billiard tableTemporal Paradoxes - John Ashmead 12 http://www.timeandquantummechanics.comMonday, March 21, 2011 12
  13. 13. Wormholes, Time Machines, and the Weak Energy Condition Morris, Thorne, & YurtseverTemporal Paradoxes - John Ashmead 13 http://www.timeandquantummechanics.comMonday, March 21, 2011 13
  14. 14. Wormhole time machine Relativistic speed Enormous gravityTemporal Paradoxes - John Ashmead 14 http://www.timeandquantummechanics.comMonday, March 21, 2011 14
  15. 15. Billiards with wormholes Future mouth 1 Past mouth 2 15Temporal Paradoxes - John Ashmead http://www.timeandquantummechanics.comMonday, March 21, 2011 15
  16. 16. Paradoxes •Grandfather paradoxes •Bootstrap paradoxes •Plausibility paradoxesTemporal Paradoxes - John Ashmead 16 http://www.timeandquantummechanics.comMonday, March 21, 2011 16
  17. 17. Grandfather paradoxes 1’ 3 Future mouth 1 Past mouth 2Temporal Paradoxes - John Ashmead 17 http://www.timeandquantummechanics.comMonday, March 21, 2011 17
  18. 18. Bootstrap paradoxes Future mouth Where did the billiard ball come from? Past mouth ?Temporal Paradoxes - John Ashmead 18 http://www.timeandquantummechanics.comMonday, March 21, 2011 18
  19. 19. Plausibility paradoxes Billiard ball hits itself just hard Future mouth enough that it 1’ hits itself just hard enough that it … 1 Past mouth 2Temporal Paradoxes - John Ashmead 19 http://www.timeandquantummechanics.comMonday, March 21, 2011 19
  20. 20. Chronology Protection Agency It seems that there is a Chronology Protection Agency which prevents the appearance of closed timelike curves and so makes the universe safe for historians. — Stephen HawkingTemporal Paradoxes - John Ashmead 20 http://www.timeandquantummechanics.comMonday, March 21, 2011 20
  21. 21. Weak energy condition •If averaged energy positive, no wormholes •But, beware of quantum fluctuations, •black swans, •and circular arguments.Temporal Paradoxes - John Ashmead 21 http://www.timeandquantummechanics.comMonday, March 21, 2011 21
  22. 22. Novikov consistency conjecture …the only solutions to the laws of physics that can occur locally in the real Universe are those which are globally self-consistent. — Igor NovikovTemporal Paradoxes - John Ashmead 22 http://www.timeandquantummechanics.comMonday, March 21, 2011 22
  23. 23. Quantum mechanics •LHC may produce time machines •Quantum mechanics •Typology of time machinesTemporal Paradoxes - John Ashmead 23 http://www.timeandquantummechanics.comMonday, March 21, 2011 23
  24. 24. Large Hadron Collider & Time Machines •Evanescent wormholes •Higgs singletsTemporal Paradoxes - John Ashmead 24 http://www.timeandquantummechanics.comMonday, March 21, 2011 24
  25. 25. Three papers •If LHC is a Mini-Time-Machines Factory, Can We Notice? — Mironov, Morozov, & Tomaras •Time Machine at the LHC — Aref’eva, Volovich •Causality violating Higgs Singlets at the LHC — Ho, WeilerTemporal Paradoxes - John Ashmead 25 http://www.timeandquantummechanics.comMonday, March 21, 2011 25
  26. 26. Mironov, Morozov, & Tomaras •Frequency filtration 0 or more time circuits •Unexpectedly energetic particles •Accelerated aging •Perceived unitarity violations •Collective effectsTemporal Paradoxes - John Ashmead 26 http://www.timeandquantummechanics.comMonday, March 21, 2011 26
  27. 27. Quantum mechanics •Single slit & double slit experiments •Sum over paths •Measurement problemTemporal Paradoxes - John Ashmead 27 http://www.timeandquantummechanics.comMonday, March 21, 2011 27
  28. 28. Single slit experiment •Granular in small •Smooth in large •Some diffraction from edgesTemporal Paradoxes - John Ashmead http://www.timeandquantummechanics.com 28Monday, March 21, 2011 28
  29. 29. Double slit experiment •Interference pattern is present but is emergent, not obvious •Attempts to see “which slit” the photon went thru will destroy the interferenceTemporal Paradoxes - John Ashmead 29 http://www.timeandquantummechanics.comMonday, March 21, 2011 29
  30. 30. Sum over pathsTemporal Paradoxes - John Ashmead 30 http://www.timeandquantummechanics.comMonday, March 21, 2011 30
  31. 31. Different rules for particles & us? Aren’t we made of particles?Temporal Paradoxes - John Ashmead 31 http://www.timeandquantummechanics.comMonday, March 21, 2011 31
  32. 32. Typology of time machines 0 or more time circuits•Self-consistency•Time travel or mere retrodiction•Mechanism•Role of observerTemporal Paradoxes - John Ashmead 26 32 http://www.timeandquantummechanics.comMonday, March 21, 2011 32
  33. 33. Very simple time machine •Requirements •Construction of the time machine •The world matrix •ApplicationsTemporal Paradoxes - John Ashmead 33 http://www.timeandquantummechanics.comMonday, March 21, 2011 33
  34. 34. Requirements 1) Locally reasonable Free will 2) Globally self-consistent No paradoxes 3) Really is a time machine Not just retrodiction 4) No magic Includes observerTemporal Paradoxes - John Ashmead 34 http://www.timeandquantummechanics.comMonday, March 21, 2011 34
  35. 35. Mark I Time Machine Lab World Control Time Loop Effect Mysterious Stuff Decision MeasurementTemporal Paradoxes - John Ashmead 35 http://www.timeandquantummechanics.comMonday, March 21, 2011 35
  36. 36. Four cases Decision Effect Success, regardless Failure, regardless Self-fulfilling prophecy Self-defeating prophecyTemporal Paradoxes - John Ashmead 36 http://www.timeandquantummechanics.comMonday, March 21, 2011 36
  37. 37. Time machine, lab, & world qubits QT ⊗ QL Control QL ⊗ QW Effect QL ⊗ QW Decision QT ⊗ QL MeasurementTemporal Paradoxes - John Ashmead 37 http://www.timeandquantummechanics.comMonday, March 21, 2011 37
  38. 38. The world as matrix  0 0   1 1  S= F=  1 1    0 0    W00 W01  W =  QW  W10  W11    1 0   0 1  O=  P=  0 1   1 0    q0  QW =    q1   Temporal Paradoxes - John Ashmead 38 http://www.timeandquantummechanics.comMonday, March 21, 2011 38
  39. 39. Quantizing the world •For success & failure, there is no impact of the decision: the decision qubit is lost in the environment. •For self-fulfilling (O), the quantum mechanical matrix is 1, which passes up and down through. •For self-defeating (P), the quantum mechanical matrix is the spin-x matrix, which flips up & down.Temporal Paradoxes - John Ashmead 39 http://www.timeandquantummechanics.comMonday, March 21, 2011 39
  40. 40. A Market for Paradox Day 1 Day 2 Day 7 Day 8 Up Down Bubble! Crash! … Buy Sell Buy 50/50Temporal Paradoxes - John Ashmead 40 http://www.timeandquantummechanics.comMonday, March 21, 2011 40
  41. 41. Applications •Tests of the intersection of general relativity & quantum mechanics •Implications for quantum computing •Deeper understanding of philosophic issuesTemporal Paradoxes - John Ashmead 41 http://www.timeandquantummechanics.comMonday, March 21, 2011 41
  42. 42. Radical conservatism Lab World Time Loop + =Temporal Paradoxes - John Ashmead 42 http://www.timeandquantummechanics.comMonday, March 21, 2011 42
  43. 43. Thanks! •Brent Warner •Ferne Cohen Welch •NASA •Jonathan Smith, Ed & Marguerite Rutkowski, Walt Mankowski, Tom Purdom, Mark Wolverton, David Bertanni, Graham Ashmead, Shelley Handen, Bruce Bloom,…Temporal Paradoxes - John Ashmead 43 http://www.timeandquantummechanics.comMonday, March 21, 2011 43
  44. 44. Author Title Year Thorne Black Holes & Time Warps 1994 Visser Lorentzian Wormholes 1994 Time machines : time travel in physics, Nahin 1997 metaphysics, and science fiction Gott Time Travel in Einstein’s Universe 2001 Introduction to Quantum Mechanics: a Tannor 2007 time dependent perspective Toomey The New Time Travelers 2007 Carroll From Eternity to Here 2010Temporal Paradoxes - John Ashmead 44 http://www.timeandquantummechanics.comMonday, March 21, 2011 44
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