### Singularity: The Media for Quantum Entanglement

Bernard d’ Espagnat ^{[19]} gives us three possible solutions for entanglement problem.

1/ Casting doubts on existence of an objective world as we know it.

2/ Questioning space and locality as the fundamental and inseparable element of the universe.

3/ Rejecting our ability to understand the reality.

The third option not only questions our ability to comprehend the nature of entanglement. It will also questions our recognition ability in general. Therefore no theory can be made or trusted. The second option questions the locality and space. This is against our everyday observation. The first option put the objective world under scrutiny and rejects our common understanding of objectivity.

How are we going to come up with a solution? What I am suggesting here is to leave the non-local portion of the quantum mechanics to the proposed singularity. As the other side of the coin, singularity can provide the wholeness and the arena for instant communication. It also will accommodate the non-objective part of the experiments like superposition. We still can preserve our experience with locality and the objective world. Although we open our eyes to the other side of the coin, that is the very important non local and subjective component of the reality. George Greenstein and Arthur G. Zajong write:

“Hidden behind the discrete and independent objects of the sense world is an entangled realm.” ^{[20]}

We are looking for a realm where entanglement and unity of distant objects can take place. If by our assumption, singularity collects remote distances of our universe in one spot (singularity itself) action at a distance can be simply described. Look at an analogy of a landscape image in a two-dimensional mirror. The images of the objects, which are far apart in three-dimensional world, but are in a line perpendicular to surface of the mirror, are superimposed and in contact with each other in two-dimentiality of a mirror. As previously mentioned in no-dimension, all points will fall on top of each other. One may argue that the images fall on each other not real objects. The above statement is true, but image is carrying the information. Information is not separate from object itself. In one view, the object is information in its totality.

One can assume that the world is a combination of two portion with complementarity relation, an objective part and a subjective one. The topic will be discussed further in consciousness section. We will assume that these two aspects of the reality intermingle and create the world as we know it. Therefore, in this view the image is just another expression of the object.

In the Wave-function section, I have assumed that objects enter informational domain (singularity) during each wavelength. The particles can exchange information instantly in this realm. Remember, there is no time element in the proposed singularity. Ervin László, the famous Hungarian philosopher of science, postulated a similar scenario. He assumed quantum vacuum as a universal field that interact with matter.

He asserts that the field:

“…acts as a holographic medium, registering and conserving the scalar wave-transform of the 3-dimensional configuration spaces assumed by matter in space. This universal fifth field is not inferred from space-time interactions like gravitational, electromagnetic, the strong and weak nuclear forces. In this new type of field, space and time become implicate, enfolded, as described mathematically by Bohm. The fifth field is spectrally (holographically) organized, and is made of the energy present in the interference patterns of the waveforms. The transformations from space-time order to this spectrum dimension are described by holographic mathematical formulations.”^{[21]}

The idea of space-time being embedded in a sea of something is nothing new. Paul Dirac also speculated that space-time is embedded in a sea of photons. He later on postulated that universe is embedded in a sea of negative electrons. However, such a sea has to have zero dimensions to be able to incorporate quantum entanglement. Singularity/Space-time complementarity with proposed description for wave particle function presented in this paper provides such a zero size media where quantum entanglement can materialize.

The description of entanglement in this model is compatible with the special relativity because it infers that although a pair of particles may be far apart in space-time, in singularity domain they are overlapped. Therefore information does not actually travel beyond speed of light in space-time to reach to the other particle. This is another indication that the presented concept deserves attention. The explanation for action-at-a-distance is embedded in this model. As far as I know, there is not many theories out there that offers an explanation for quantum entanglement phenomenon.

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