Meeting Joaquim Gomis, Francqui Foundation, Leuven, May 31, 2005

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Meeting Joaquim Gomis, Francqui Foundation,
Leuven, May 31, 2005
Utrecht University
The Holographic Mapping of the Standard
Model onto the Horizon of a Black Hole
without strings attached
Gerard t Hooft
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interaction
horizon
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in
It all happens at the origin of
Rindler Space
out
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Gravitational effect from ingoing objects
in
particles out
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Strategy infinitesimal modification of
in-state
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Repeat procedure
a string theory amplitude !!
nearly
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The string world-sheet
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Horizon Algebra
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But, our algebra does not generate the
area law. Can we be more precise?
Transverse gravity?
Now, let us look at the contributions from
the Standard Model Scale
very late
in
out
very early
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The Standard Model Contribution to
the Horizon Algebra. I. The U (1) field
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The role of the Standard Models scalar
fields
It generates a modification in the vector
field equations
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• Questions
• - What is the effect of Standard Model
  fermions ?
• - How do we handle non-Abelian vectors ?
• - What is the effect of the instanton
  angle ? ?
• - What modifications of the algebra are
  generated
• by the transverse grav. force ?
• Does this allow for a representation of
  the
• algebra with discrete states, as
  suggested by
• the entropy area law?

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A related question that we can answer What
is the effect of magnetic monopoles ?
N
S
arg has a Dirac string - ambiguity 2? n
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This work is not finished. We intend to
obtain the complete algebra relating the
in-operators to the out-operators from
whatever Standard Model Lagrangian. Once
the rules are clear, we should be able
once again to add (transversal) gravity.
The representation of our algebra should
then respect the entropy / area law. The
algebra should generate the details of
quantum black hole dynamics.
The End
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Black Hole Formation Evaporation by
Closed Strings
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The Difference between
A black hole is a quantum superposition
of white holes and vice versa !!