http://www.yehleehwa.net/

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• ????? 2011.8.19
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• http//www.yehleehwa.net/

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• The Time Machine(1895)
• Herbert George Wells (1866-1946)

http//en.wikipedia.org/wiki/H_G_Wells
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Chapter One

• "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."

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Wheeler-Feynman(1940)
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?????p319 All You Zombies??
http//drng.pixnet.net/album/photo/34253699
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???Vs????

• http//www.imdb.com/title/tt0268695/
• http//www.imdb.com/title/tt0060036/

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• Lanczos, C. (1924) On a Stationary Cosmology in
  the Sense of Einsteins Theory of Gravitation
• van Stockum, W.(1937) The gravitational field of
  a distribution of particles rotating around an
  axis of symmetry
• Tipler, F. (1974) Rotating Cylinders and the
  Possibility of Global Causality Violation

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Interior
Exterior
A definite axis
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• Gödel, K. (1949) An example of a new type of
  cosmological solution of Einstein's field
  equations of gravitation

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Kurt Friedrich Gödel (1906-1978)

• One of the most significant logicians
• of all time.

http//en.wikipedia.org/wiki/Kurt_GC3B6del
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Gödels Universe

• Stationary but not Static
• Anisotropic but Homogeneous
• Axially symmetric but without
• a definite axis
• Inconsistent with observations

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• Kerr, R.(1963) Gravitational field of a spinning
  mass as an example of algebraically special
  metrics
• Newman E. et al (1965) Metric of a Rotating,
  Charged Mass

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• Mallett, R.(2003) The gravitational field of a
  circulating light beam

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Light cones in the flat spacetime
http//en.wikipedia.org/wiki/Light_cone
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3 inertial observers, 1 light cone
http//en.wikipedia.org/wiki/Minkowski_diagram
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How about non-inertial observers?
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Light cones in the curved spacetime

• Fairly distorted
• Highly distorted

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Timelike Curve(????)
http//en.wikipedia.org/wiki/Light_cone
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Closed Timelike Curve (CTC) (??????)
Highly distorted cone
Fairly distorted cone
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??????(frame dragging)

• frame dragging ? distorted cones
• ripples as an analogy

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t
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t
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t
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t
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• LenseThirring precession(1918)
• LAGEOS(1976)
• LAGEOS 2(1992)
• Gravity Probe B (2004)

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Gravitomagnitism(????)

• static charge ? electric field
• rotating charge ? electric field
• magnetic fields
• static mass ? gravitational field
• rotating mass ? gravitational field
• gravitomagnetic
  field

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????????

• e.g. S2
• e.g.1-dim Ising model

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• ????(equivalence principle)

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Left http//en.wikipedia.org/wiki/Hyperbolic_m
otion_(relativity)
Right http//en.wikipedia.org/wiki/Rindler_coo
rdinates
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X
Xlt1
Xgt1
X1
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Not unique!
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arXiv0905.0765v1 gr-qc Rotation in relativity
and the propagation of light, p33
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CTC!
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http//en.wikipedia.org/wiki/Sine
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arXiv1008.1127v1 gr-qc Closed timelike
curves and causality violation, p5
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arXiv0708.2324v2 gr-qc A twist in the geometry
of rotating black holes seeking the cause of
acausality, p13 (-,,,)
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arXiv0708.2324v2 gr-qc A twist in the geometry
of rotating black holes seeking the cause of
acausality, p9
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• David Deutsch (1991) Quantum Mechanics near
  closed timelike lines
• Stephen Hawking (1992) Chronology protection
  conjecture

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