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Quantum Holography

The Holographic 'Golf ball'

This is all do with projection. In a hologram, Information is projected from 3 dimensions onto a 2-dimensional surface in the Far Field. We can imagine a black hole or Nilpotent source as a golf ball with facets representing discrete area quantisation. (In fact, the facets are hexagonally close packed HCP - with six neighbours which appears to optimal information packing in a real example). if we paint each facet with bit '1' or '0' as information signal then if we look at in the far field, the centre bit symbol is "face-on" for full strength. However, towards the edges, the symbols project away giving a weaker signal, but the information is still kept in the key equation: 

pdf(R) = (1 + tan(R))*MRICE(R),                                                                                                                                 (10.1)

where tan(R) represents projection. I had a personal dilemma for some time with the factor ¼. I had originally assumed an effective signal-to-noise of 1 (with signal and noise equally likely), but the quarter is actually an average from full signal at the centre of the hologram to the diminished signals to the outer edges. After talking with Professor Schempp, I went on and showed that the golf ball is a useful device to explain this phenomena at the recent CASYS 09 presentation. My presentation material is sited here. Notice that the pixelation appears to blend with the simulation at the lower levels.

The Dark Energy Ratio

In my power point presentation slides, notice the spike parameters SNR = 1/4, σ2 going from ½ to 0.97 in the animation, than we get the maximum packing density in accordance with the Kepler conjecture. This corresponds to a maximum information coming through in the key equation (10.1). The Dark Energy ratio has been obtained by zero padding outside the range [0, p].

 

References

[1]    Scientific American Reports (Special Edition on Astrophysics). Volume 17, Number 1, 2007 – “Reality-bending Black Holes” pp 66 ‘Information in the Holographic Universe’ by Jacob D. Bekenstein, pp 74 ‘The Illusion of Gravity’ by Juan Maldacena.

 

 


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