Quantum entanglement

1. Resonance of matter waves of particles.

When the vibration frequency of the electromagnetic wave is the same as the natural frequency of the L-C circuit, there are going to have resonance. The vibration electric current of the L-C circuit will change with the strong or weak of the electromagnetic wave. When the resonance occurs, the vibration energy of the L-C circuit will vary with the strength of the electromagnetic wave. The energy of the electromagnetic wave will vary with the L-C vibration circuit, or to say is expended energy in the L-C current at the same time. In fact, the electromagnetic wave and the L-C circuit constitute the entanglement of energy.

It is the only for the vibration frequency of the electromagnetic wave and for the natural frequency of the L-C circuit. When resonant the electromagnetic wave and the L-C circuit only need a frequency of the same resonance can occur. But the circumstances of the matter waves exactly different. For the matter waves, except a linear vibration wave, there is a spin angular vibration wave. The two vibration waves will be interacted each other. Therefore, resonance can occur only when the linear vibration frequency of the two particles and the spin angular vibration frequency of the two particles all are the same respectively, then the two particles can be able to constitute the resonance. This resonance just is the entanglement.

Quantum entanglement has been discovered by Einstein and many great physicists throughout history. But only after the spin angular vibration wave has been discovered, the origin of quantum entanglement just could be able to be confirmed.

2. Interaction between linear vibration and spin angle vibration:

If the energy of linear vibration is existence in particle opposite to the coordinate system, the mass point of light quantum of the particle  is bound to have a relative linear velocity  and have relative linear vibration velocity opposite to the coordinate system. Because of existence of the linear vibration velocity, it necessarily forms a series of matter wave. The linear vibration velocity is as its position changes in the matter wave.

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Among them is an infinitesimal strain tensor. For a stable system, a particle has no real displacement and no real strain. .

Let ，then ，and ， is a rotation tensor. ， can be regarded as the spin

angular tensor of a mass point of light quantum in the matter wave.

To define ， is displacement operator. That is

 .

Because is a rotation tensor, plug in , then get this formula . This suggests that if the particle has the energy of

linear vibration opposite to the coordinate system，then the light quantum of the particle will increase a spin angular vibration velocity opposite to the coordinate system. . The rotation of the linear vibration just is a part of the spin angle vibration velocity.  The spin angular

vibration velocity must affect the frequency and energy of spin angular vibration.  The frequency of linear vibration and the frequency of spin angular vibration are quite related. The frequency of linear vibration of the matter waves must affect the frequency of spin angular vibration of the matter waves.

 In the same way, the frequency of spin angular vibration of the matter waves must affect the frequency of linear vibration of the matter waves.

The resonance can occur for two train matter waves, only when the linear vibration frequencies are exactly the same for the two train matter waves, and the spin angular vibration frequencies are exactly the same for the two train matter waves at the same time respectively. That’s the two train matter waves only then can form an entanglement.

Why is the speed of entanglement faster than the speed of light?  Let the center of particle A is at A, the center of particle is at. Although the

traditional distance between andis. However, according to current principle of analysis, the distribution range of the light quantum of particle is

from the center . The distribution range of light quantum of particleis from the center too. Particle  is surrounded by the light quantum

of particle. Particle is surrounded by the light quantum of particle. In the case of entanglement, of course the entangled distance is less than.  It is possible to become the speed of entanglement is faster than the speed of light.

3．Obtains the possibility that the linear vibration frequencies of two particles are the same, and the spin angular vibration frequencies of these two particles are the same at the same times.

It is possibility to obtain the linear vibration frequencies of two particles are the same and the spin angular vibration frequencies of these two particles

are the same at the same time. For example, already found when a neutral meson  splits into and. and can form a pair of entangled particle. This is because of that the post-splitting linear vibration frequency and the post-splitting spin angular vibration frequency are the same as the

linear vibration frequency and spin angular vibration frequency of the neutral meson  before splitting respectively. Although the velocity of and

after splitting are moving in the opposite direction respectively. But their linear vibration frequency and spin angular vibration frequency are the same respectively as before. And energies are conserved respectively. So these two particles have the conditions for resonance. Thus the two particles become entanglement. They’re all entangled between the 0 and 1 state.

When one kind of light pulse irradiates a crystal, the linear vibration frequencies of this light pulses are fixed and the spin angular vibration frequencies of this light pulses are fixed always. As well as the natural linear vibration frequencies of the same crystal are fixed and the natural spin

angular vibration frequencies of the same crystal are fixed too. When this light pulse irradiates to this crystal, the results of irradiation may be possible to produce some pairs of light quantum, in this pair they have the same linear vibration frequency, and also have the same spin angular vibration frequency. These pairs of light quantum after polarization interference and superposition, the pairs of entangled photons can be formed. Of course, the choice of light source and crystal must have high technical requirement.

Particles and certain molecules may also become entangled. Such as entangle between calcium atoms and calcium hydride molecules. When some particles and some molecules are at the temperature near the absolute temperature of 0 nm, that’s state of condensed matter, the entanglement can occur. At this time the linear vibration frequency and the spin angular vibration frequency of particles and the linear vibration frequency and the spin angular vibration frequency of the particles in molecule all near the absolute temperature of 0 nm, their linear vibration frequencies and their spin angular vibration frequencies are near zero. Then special techniques are used to synchronously restore them to normal temperatures. At this time the linear vibration frequency among the particles and the molecule are the same, and the spin angular vibration frequency among the particles and the molecule are the same or close to the same. Although there are other vibration in the crystal, but these vibration are so smaller that they can be ignored. Because the linear vibration frequency among the particles and the molecule are the same, the spin angular vibration frequency among the particles and the molecule are the same respectively, so that it can be entanglement.  

The principle of entanglement between particles is found in this paper. Entangled particles are an objective existence, thus proving that the spin of the light quantum is also an objective existence.

Only the principle of entanglement between particles is discussed in this paper.

Introduction and Contents   引言和目录