Mathematical model of holographic universe ?

In summary, the holographic model uses a complex number to represent light, and not virtual particles.
  • #1
czes
222
1
A light wave can be modeled by a complex number U which represents the electric or magnetic field of the light wave. The amplitude and phase of the light are represented by the absolute value and angle of the complex number. The object and reference waves at any point in the holographic system are given by UO and UR. The combined beam is given by UO + UR. The energy of the combined beams is proportional to the square of magnitude of the electric wave:
(Uo+UR)^2
If a photographic plate is exposed to the two beams, and then developed, its transmittance, T, is proportional to the light energy which was incident on the plate, and is given by
T=k(Uo+UR)^2
where k is a constant. When the developed plate is illuminated by the reference beam, the light transmitted through the plate, UH is
UH=T*UR
It can be seen that UH has four terms. The first of these is proportional to UO, and this is the re-constructed object beam. The second term represents the reference beam whose amplitude has been modified by UR^2. The third also represents the reference beam which has had its amplitude modified by UO^2; this modification will cause the reference beam to be diffracted around its central direction. The fourth term is known as the "conjugate object beam." It has the reverse curvature to the object beam itself, and forms a real image of the object in the space beyond the holographic plate.
http://en.wikipedia.org/wiki/Holography

This mathematical model needs a medium which is a fundamental information for this model. There is electric field above.
My question is :
Might be that the fundamental information is also a virtual particle-antiparticle ?
 
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  • #2


I cannot definitively answer this question as it is outside of my area of expertise. However, from my understanding of holography, the fundamental information needed for this model is the complex number U, which represents the electric or magnetic field of the light wave. This complex number is not a virtual particle-antiparticle, but rather a mathematical representation of the physical properties of light.

Virtual particles are a concept in quantum field theory, which is a different field of study from holography. While both fields deal with fundamental particles and their interactions, they approach it from different perspectives. Holography focuses on the properties of light waves and their interactions, while quantum field theory focuses on the fundamental particles and forces that make up our universe.

So, to answer your question, the fundamental information needed for the holographic model is not a virtual particle-antiparticle, but rather the complex number U representing the electric or magnetic field of the light wave. This complex number is a mathematical abstraction used to describe the physical properties of light, and is not related to the concept of virtual particles.
 

1. What is a mathematical model of holographic universe?

A mathematical model of holographic universe is a theoretical framework that uses mathematical equations to describe the idea that our three-dimensional universe is a projection of information stored on a two-dimensional surface.

2. How does the holographic principle relate to the mathematical model of holographic universe?

The holographic principle states that all of the information in a region of space can be encoded on the boundary of that region. The mathematical model of holographic universe is based on this principle, using mathematical equations to show how the 3D universe can be encoded on a 2D surface.

3. What evidence supports the mathematical model of holographic universe?

One piece of evidence is the Holographic Entropy Bound, which is a mathematical limit on the amount of information that can be contained in a region of space. This limit is consistent with the holographic principle and supports the idea of a holographic universe.

4. How does the mathematical model of holographic universe explain black holes?

The mathematical model of holographic universe suggests that the event horizon of a black hole acts as a 2D boundary that encodes all the information about the 3D matter that has fallen into the black hole. This information is then projected back out into the universe when the black hole evaporates.

5. Are there any limitations or criticisms of the mathematical model of holographic universe?

One limitation is that the model is based on theoretical concepts and has not been proven through empirical evidence. Additionally, some scientists argue that the model does not account for the complexity and randomness observed in our universe. There may also be limitations in our current understanding of mathematics and physics that prevent us from fully understanding the holographic universe.

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