The experiments of LIGO had not considered these possibilities. No methods were used to distinguish quadrupole moment and dipole moment. There were no wave forms of dipole moment in their waveform library, for they had not thought this possibility. Therefore, even though what detected were the gravitational waves of dipole moment radiations, the computer of LIGO may misunderstand them as that of quadrupole moment. The experiments to verify the theory of gravity in flat space-time may be considered as that to verify the theory of gravity in curved space-time. So, the experiment of LIGO has not verified the Einstein’s theory of gravity.

4. There Are Contradictions Caused by the Energy Current Density of Gravitational Waves

According to general relativity, gravity causes space-time curved which changes the distance between objects. The basic principle of LIGO experiment was that gravitational waves affected the lengths of interferometer’s two arms. Because two arms were vertical each other, the effects on them were different which leaded to the change of interference stripe.

However, according to general relativity strictly, the formulas of gravitational wave’s effect of distances were only suitable for two particles moving along geodesic lines in vacuum [4] . This is the precondition of calculation. Whether or not are they also suitable for the experiments carried out on the earth’s surface?

We should understand what the length change of interferometer’s arm means. The Interferometers of LIGO were fixed on the vacuum steel pipes and the poles are fixed on the earth’s surface. Reflect glasses hanged in interferometers through special fibers. So there are two possibilities in the experiments. The first was that the positions of hang glasses were unchanged, but the lengths of steel pipes were changed. The second was that the lengths of steel pipes were unchanged, but the positions of hang glasses were changed by the vibrations. The first is the standard opinion of general relativity which emphasizes spatial curvature and is used to explain the experiments of LIGO. But the second is not the standard opinion of general relativity. It represents the action of force to cause the vibration of glasses. In general relativity, there is no the concept of force. We only have the concept of spatial curvature caused by material.

The interferometer system was acted by electromagnetic force and reached balance. In the first case, only when the balance was destroyed, the distance between two glasses could change. Because electromagnetic interaction is 10^{40} times greater than gravitational interaction, gravitational waves cannot break the balance of electromagnetic force. So the effect of gravitational waves cannot be observed.

In the second situation, reflect mirrors hanged on interferometers, not be free in vacuum. Because the connections of mirrors with fiber are also controlled by electromagnetic force, in LIGO experiments, electromagnetic interaction cannot be avoided. Many important factors are neglected in the analysis of experiments.

Because the Einstein theory of gravity is equivalent to that of Newtonian under the condition of weak fields, we can a simplified method to estimate the energy current density of gravitational waves on the earth’s surface. At first, we assume that two reflect mirrors suspend in vacuum and discuss the actions of gravitational waves on the motions of mirrors. After that, we discuss the effect of electromagnetic interaction on LIGO experiments.

For the stability of experiments, the mass of suspend glass is 40 kg. Suppose that the vibration frequency of gravitational wave is 100 Hz. In order to estimate the energy of gravitational waves roughly. The force acted on grass caused by gravitational wave is F which causes an acceleration a. For simplification, we suppose a to be a constant. Under the action of F, each glass moves in time 10^{−2} s. According to the formula of the Newtonian, we have

(1)

so (2)

The moving distance of glass is in 10^{−2} s, in which the work that gravitational wave does is

(3)

In the unite time (1 second), the work that gravitational wave does is

(4)

Suppose the surface area of glass is 0.5 m^{2}, correspondently, the energy current density of gravitational waves is

(5)

This is a very small quantity.

On the other hand, according to the calculation of LIGO, 3 solar mass was transformed into the energy of gravitational waves in a second and was emitted into space. Let’s estimate the energy current density accepted on the earth’s surface. The solar mass is, the energy of 3 solar mass is

(6)

The distance of 1.3 billion light years is. The energy current density on the surface of the earth is

(7)

The ratio of energy current densities for two calculation methods is

(8)

Even we consider that the energy of gravitational waves absorbed by glasses was ten thousandth, the energy current density in (5) was increased ten thousand times, the ratio was still 10^{20}. The difference is so great that it cannot be accepted in physics. Unfortunately, physicists of LIGO have not noticed this contradiction.

5. The Effects of Electromagnetic Interaction Can Not Be Neglected

As mentioned above, the interferometers of LIGO are fixed on the earth’s surface which are controlled by electromagnetic force and reach the situation of balance. To change the lengths of steel pipes, an extract force with the same magnitude as electromagnetic force is needed at least. However, electromagnetic force is 10^{40} times greater than gravity. So wear gravitational waves on the earth’s surface can not violate the balance of electromagnetic force to change the lengths of steel pipes and produce signs in LIGO experiments.

In fact, if we consider the action of gravitational waves on the objects fixed on the earth’s surface, electromagnetic interaction between charged particles will be invoiced. In this case, the Einstein equation of gravity cannot be solved. No any problem can be discussed.

Therefore, in general relativity, electromagnetic interaction is not considered in general. The formulas about the effect of gravitational wave on the distances are only suitable for two particles located in vacuum [4] . For the interferometers of LIGO, controlled by electromagnetic interaction, the formulas are invalid. This is most foundational reason that LIGO experiments fail.

According to the calculation of LIGO, the distance change of two glasses was 10^{−18} m, corresponding to 3 solar masses was transformed into gravitational waves in one second in a distance galaxy 1.3 billion light years far away. But this calculation had not considered the effect of electromagnetic interaction. If electromagnetic interaction was considered, suppose that the distance change between two glasses was still 10^{−18} m, the energy of gravitational waves should be greater 10^{40} times. The energy current density of gravitational waves would reach.

What is that mean? On the earth’s equator, the energy current density of solar light is. So corresponds to the radiation energy of 750 million suns on the surface of the earth, vibrating hundred times in one second. Under the action of this strong gravitational energy, let alone the laser interferometer of LIGO, even the earth itself would be destroyed.

In this way, we can explain why J. Weber’s gravitational wave experiments failed. Weber put forward a method to detect gravitational waves. He used metal to made antenna and believed that gravitational waves would cause antenna resonance. He declared that he had accepted the signs of gravitational waves coming from the center of the Milky Way Galaxy. However, Weber’s experiments cannot be repeated by other physicists. The signs Weber accepted was considered too great so that the Milky Way Galaxy would be exhausted in 1 billon years. Now, what Weber accepted is considered to be occasional interference signs, rather than gravitational waves.

The fail reason of Weber’s experiments is the same as the experiments of LIGO. Gravitational waves are too weak to overcome electromagnetic force between irons in metal and cause antenna vibrating. In this meaning, all laser interferometers on the surface of the earth including LIGO, and Virgo in Italy and France, GEO600 in Germen, TAMA300 in Japan and so on cannot really observe gravitational wave’s signs.

The experiment of gravitational waves should move to space, not only to avoid noises, mainly to avoid electromagnetic interaction. In fact, because there was no the effect of electromagnetic force, the J. H. Taylor and R. A. Hulse’s observational of gravitational waves for double pulsar radio was credible [5] .

6. Is the Method of Numerical Relativity Reliable?

The Einstein’s equations of gravity are non-linear and difficult to be solved. Up to now, only a few strict solutions are obtained, most of them are static solutions. If the motions of source material are considered, motion speeds are contained in energy momentum tensor, so that the equations cannot be solved.

The process of binary black hole merger involved speeds, so the normal method of mathematical analysis losses efficacy. The method of numerical relativity is put forward to deal with this kind of problems [6] . However, black holes involved singularities and the law of physics invalid in singularities. The concrete realization of mathematical infinite is the crash of computer in the simulation process.

In order to make calculation possible, lots of revisions had to be introduced which cause great errors. The boundary and initial conditions have to be reset each time when computer is near to crash, so that the errors are introduced again and again. Because the Einstein’s gravity field equations are non-linear, the Butterfly effect enlarged the errors.

The LIGO experiments used numerical relativity to calculate binary black hole merger. This was also another cause which leads to inconsistence. Because the Butterfly effect of non-linear process cannot be avoided, the effectiveness of numerical relativity is worth suspending.

Of course, most essential problem is, do singularity black holes with infinite great densities and infinite small volumes exist in nature [6] - [9] ?

7. Can the Length’s Change of 1000 Times Less than Nuclear Radius Be Measured?

According to the declaration of LIGO, the signs of gravitational waves correspond to the length change of 10^{−18} m for the interferometer’s arms, 1000 times less than nuclear radius. What does this mean? As we know that the radius of atom is about 10^{−18} m. At this scalar, an object’s boundary has become fuzzy. Looking it closely, the surface of an object is a pile of dazzle electron group, moving in very high speeds. How can the length change of 1000 times less than nuclear radius be distinguished and measured?

In fact, when laser shot at the mirrors of interferometers, the atomic displaces on mirror’s surface were far more than 10^{−18} meters. It was meaningless to say that the length change of 10^{−18} m can be measured. This kind of precise has entered micro-scalar. Not only it is far beyond the limitation of mankind technology, it also violates the foundational principle of physics. According the uncertainty principle in quantum mechanics, if atomic thermal motions are limited in the region of 10^{−18} meter, their momentum changes will reach the magnitude order of 10^{−16}. The speed changes of atoms will be very near light’s speed and the mirrors cannot exist again.

Therefore, it is meaningless to say that gravitational waves caused the length change of 10^{−18} meter of interferometer’s arms. The signs only come from mirror’s vibrations caused by a certain unknown reason, or certain force. It had nothing to do with the length change of steel pipes. According to the formulas of general relativity, this kind of sign is not caused by gravitational waves. In the gravitational theory of curved space-time, there is no the concept of force. Gravitational waves only change the distances of space (the earth’s surface).

8. What LIGO Accepted Was Really the Signs of Gravitational Waves?

In fact, this kind of vibrations happened frequently and were considered as noises and neglected by the computer of LIGO. Only when the source of vibrations just located at a place near middle position and accepted by two interferometers nearly simultaneously on September 14, 2015, it may be misunderstand as the signs of gravitational waves.

For example, LIGO declared that they had excluded the possibility of earthquake. But we still mention it. As we know, 5 million earthquakes happen on the earth each year which are perceptive by earthquake instruments. More small earthquakes cannot be detected by seismic detectors. The frequencies of perceptive earthquakes are below 20 Hz. The frequencies of slight earthquakes which cannot be detected by earthquake instruments are high than 20 Hz.

The frequencies detected by the interferometers of LIGO are 35 - 150 Hz, similar to that of slight earthquakes. Suppose that there was slight earthquake occurring at the point near the middle palace of two interferometers. The earthquake instruments did not detect it, but the interferometers of LIGO detected it. Though slight earthquakes are not the events of small possibility, it is not commonly possible to occur at the middle palace of two interferometers. The waves of earthquakes reached two interferometers with time difference of 7 milliseconds. Whether or not the computer of LIGO misunderstands it as the signs of gravitational waves? This possibility cannot be excluded.

Besides earthquake’s waves, air vibration can also cause the disturbances of same frequencies (the frequencies of sound waves are 20 - 16,000 Hz). These disturbances may transit to the laser interferometers through earth’s crust and cause the false judgment of computer. For example, a gust of wine occasionally blows at a rock which was just located at the middle place between two interferometers of LIGO and caused a vibration of shirt time. The computer of LIGO might consider it as an event of gravitational wave.

9. Conclusions

In general relativity, the formulas about the influences of gravitational waves on space distances are only suitable for particles in vacuum. If electromagnetic interactions exist, these formulas are invalid due to the fact that electromagnetic forces are 10^{40} times stronger than gravity. The interferometers of LIGO are fixed on steel pipes which are fixed on the earth’s surface. The system is acted by electromagnetic force and reaches balance. The actions of gravitational waves are too weak to break the balance to cause the change of distance. So what LIGO interferometers detected were not the signs of gravitational waves. They may be caused by the vibrations happened on the surface of the earth, just located at the middle region of two interferometers. The signs were received almost simultaneously so that the computer of LIGO judged them as the signs of gravitational waves wrongly.

In this meaning, all laser interferometers on the earth’s surfaces including LIGO cannot really detect gravitational waves. The detections should move to space, not only to eliminate noises, but also to eliminate electromagnetic interaction more importantly. We should also consider the possibility of dipole radiations and the rationality of singularity black holes.

Besides, no explosion source of gravitational waves was found in LIGO experiments. The argument of LIGO about the verification of the Einstein theory of gravity was a vicious circle and invalid in logic. The results of experiments would cause serious contradiction for the energy current density of gravitational waves.

In sum, the LIGO experiments, the faster-than-light experiment of neutron in 2012, the gravitational wave experiment of early universe in 2014, as well as the GP-B experiment of Stanford University in 2011 provide us the lessons that the possibility of failure is great to establish huge scientific equipments to detect small effects. Especially, for gravitational experiments, the risk is very high.

Meanwhile, physicists should be cautious when they evaluate their academic achievement. It is improper to say too much to pursue sensational effect before the results are fully examined.

The authors are grateful to Professors Sheng Zhiyuan and Huang Zhixun’s beneficial discussion.

Cite this paper

Mei, X. and Yu, P. (2016) Did LIGO Really Detect Gravitational Waves?—The Existence of Electromagnetic Interaction Made the Experiments of LIGO Invalid.*Journal of Modern Physics*, **7**, 1098-1104. doi: 10.4236/jmp.2016.710098.

Mei, X. and Yu, P. (2016) Did LIGO Really Detect Gravitational Waves?—The Existence of Electromagnetic Interaction Made the Experiments of LIGO Invalid.

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http://dx.doi.org/10.1103/PhysRevLett.116.061102

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http://astroleaks.lamost.org/?p=5334

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http://dx.doi.org/10.4236/ijaa.2011.13016

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http://dx.doi.org/10.4236/jmp.2013.47131

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http://dx.doi.org/10.4236/ijaa.2014.44060

[1] Abbott, B.P., et al. (2016) Physical Review Letters, 116, 061102.

http://dx.doi.org/10.1103/PhysRevLett.116.061102

[2] Wang, Y.J. and Tang, M.Z. (1990) The Theory and Effect of Gravity. Hunan Science and Technology Publishing Company, Changsha, p. 592.

[3] Mei, X.C. (2015) The Third Theory of Space-Time and Gravity as Well Cosmology in Flat Space-Time. Intellectual Property Publishing Company, Beijing, p. 249.

[4] Liu, L. and Zhao, Z. (2004) General Relativity. High Education Publishing Company, Beijing, p. 140.

[5] Weiberg, J.M. and Taylor, J.H. (1984) Physical Review Letters, 52, 1348.

http://dx.doi.org/10.1103/PhysRevLett.52.1348

[6] Yimingleon. Numerical Relativity.

http://astroleaks.lamost.org/?p=5334

[7] Mei, X.C. (2011) International Journal of Astronomy and Astrophysics, 1, 109-116.

http://dx.doi.org/10.4236/ijaa.2011.13016

[8] Mei, X.C. (2013) Journal of Modern Physics, 4, 974-982.

http://dx.doi.org/10.4236/jmp.2013.47131

[9] Mei, X.C. (2014) International Journal of Astronomy and Astrophysics, 4, 656-667.

http://dx.doi.org/10.4236/ijaa.2014.44060