Your SlideShare is downloading. ×
0
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Time & Quantum Mechanics
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×
Saving this for later? Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime – even offline.
Text the download link to your phone
Standard text messaging rates apply

Time & Quantum Mechanics

1,464

Published on

Popular version of my paper on time & quantum mechanics.

Popular version of my paper on time & quantum mechanics.

Published in: Technology, Spiritual
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
1,464
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
24
Comments
0
Likes
0
Embeds 0
No embeds

Report content
Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
No notes for slide

Transcript

  • 1. Quantum time Is time quantized in the same way that space is quantized? John Ashmead john.ashmead@timeandquantummechanics.com 2008Sunday, November 29, 2009
  • 2. `Clearly, the Time Traveller proceeded, `any real body must have extension in four directions: it must have Length, Breadth, Thickness, and--Duration. But through a natural infirmity of the flesh, which I will explain to you in a moment, we incline to overlook this fact. There are really four dimensions, three which we call the three planes of Space, and a fourth, Time. There is, however, a tendency to draw an unreal distinction between the former three dimensions and the latter, because it happens that our consciousness moves intermittently in one direction along the latter from the beginning to the end of our lives.Sunday, November 29, 2009
  • 3. Block universe Evolving universeSunday, November 29, 2009
  • 4. Relativity “Henceforth space by itself, and time by itself, are doomed to fade away into mere shadows, and only a kind of union of the two will preserve an independent reality.” -- Minkowski • time and space mix’d: on way into a black hole, they even change places • block universe naturally static: 80+ pages to define an evolving time.Sunday, November 29, 2009
  • 5. Quantum mechanics • space is fuzzy • time is a parameter • we build the wave function at the next time instant based on the wave function at the currentSunday, November 29, 2009
  • 6. How to combine? • Strings • Loop quantum gravity • Lots of others All are new physicsSunday, November 29, 2009
  • 7. This is often the way it is in physics - our mistake is not that we take our theories too seriously, but that we do not take them seriously enough. It is always hard to realize that these numbers and equations we play with at our desks have something to do with the real world. Even worse, there often seems to be a general agreement that certain phenomena are just not fit subjects for respectable theoretical and experimental effort. -- Steven WeinbergSunday, November 29, 2009
  • 8. Laboratory time What clocks measureSunday, November 29, 2009
  • 9. Quantum wave function 1 0.75  − it 1  − 1 t2 ϕ (t ) =  e − e 2  e 0.5 0.25 rea l -4 -2 2 4 -0.25 -0.5 ry na agi -0.75 im -1Sunday, November 29, 2009
  • 10. Train from Berne to Zurich • measure in time: t hours to Zurich • measure in distance: x kilometers to ZurichSunday, November 29, 2009
  • 11. double slit experimentSunday, November 29, 2009
  • 12. small & large dimensions • trip measured in kilometers • wave function measured in nanometers • “real” x is total of large and small • Now, what happens if we take this position for time???Sunday, November 29, 2009
  • 13. Postulate wave function in four dimensions t xSunday, November 29, 2009
  • 14. how to evolve t x t lab time = 2 x t lab time = 1 x lab time = 0Sunday, November 29, 2009
  • 15. path integralsSunday, November 29, 2009
  • 16. Feynman diagrams t xSunday, November 29, 2009
  • 17. almost no change • path integrals add sum over paths in time to sum over paths in space • just 4/3 more algebra • and a few technical complications which I will not distress you withSunday, November 29, 2009
  • 18. did you break anything • internal contradictions? • consistent in appropriate limits? • should it have been seen already?Sunday, November 29, 2009
  • 19. • thanks to a subtlety of relativistic mechanics, the average trajectory is identical for both quantum time & regular time • quantum time packets do spread more in timeSunday, November 29, 2009
  • 20. beam & apparatus must change • have to send a beam which is changing in time • through a gate which is open and closed • normally, we let beams settle down, but now it is fiddly bits at the ends we are interested inSunday, November 29, 2009
  • 21. why bound states? • Bohr rule: fits evenly around the atom • what is “fits evenly” in time? • But only those orbits which “fit evenly” add coherentlySunday, November 29, 2009
  • 22. mass is measure of width in time • larger is wider • for electrons, is 10 to the -21st seconds (zeptoseconds) • for photons is zero (so you can’t find effect using only photons)Sunday, November 29, 2009
  • 23. coherent interferenceSunday, November 29, 2009
  • 24. lamb shift E τSunday, November 29, 2009
  • 25. same answer, no infinity E τSunday, November 29, 2009
  • 26. one gate t D T2 T1 S L G xSunday, November 29, 2009
  • 27. two gates G1 G2 t D T4( 2 ) T3( 2 ) (1 ) T2 T2( 2 ) T1( 2 ) S T1(1) L1 L 21 L2 xSunday, November 29, 2009
  • 28. aharonov bohm experimentSunday, November 29, 2009
  • 29. AB in time ∆t t B D D′ ∆Φ V =0 V =Φ C C′ A xSunday, November 29, 2009
  • 30. pauli exclusion principleSunday, November 29, 2009
  • 31. symmetric fermions τ pa ′ ′ pb ′ pa ′ pb k k 1 1 1 1 ! ! 2 2 2 2 x pa pb pa pbSunday, November 29, 2009
  • 32. Lindner’s double slit in timeSunday, November 29, 2009
  • 33. Short photon pulse acts like two gatesSunday, November 29, 2009
  • 34. review of requirements • well-defined • symmetric between time and space • consistent with known • testable • reasonably simpleSunday, November 29, 2009
  • 35. uses • fun with time • 300+ experiments • starting point for quantum gravity • covert transmissions • quantum computersSunday, November 29, 2009
  • 36. thanks! • Miriam Kelly • Jonathan Smith • Ferne Welch • Graham & Gaylord Ashmead • Linda Kalb • Stewart Personick • Fred Herz • Host of quasi-willing earsSunday, November 29, 2009
  • 37. • The End of Time - Julian Barbour • Time Travel in Einstein’s Universe - J. Richard Gott • Physics of the Impossible - Michio Kaku • Time Traveler - Ronald L. Mallett • Time’s Arrow & Archimedes’ Point - Huw Price • Timeless Reality - Victor J. Stenger • The New Time Travelers - David ToomeySunday, November 29, 2009

×