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; Volume 1 (2021)
1. On the Relativity of the Speed of Light
This article introduces the widely applicable Dongfang unitary principle, which can be used to test the logical consistency of mathematics, natural sciences, and social sciences. Based on this principle, it is demonstrated that the Lorentz transformation under the interpretation of relativity inevitably leads to the concept of complete spatiotemporal transformation, and thus two parallel conclusions are derived that the isolated reference frame in vacuum has a constant speed of light and a variable relative speed of light. Specifically, the Lorentz transformation in the sense of relativity presents two inevitable inferences in mathematical form: 1) the propagation speed of light in a vacuum relative to the reference frame of the observer's laboratory is a constant c; 2) the propagation speed of light in a vacuum relative to any other inertial reference frame in relative motion is not equal to c. A typical exception is that the relative speed of light propagating in the same direction in a vacuum is 0, and the relative speed of light propagating in the opposite direction is 2c. From a theoretical perspective, Einstein's assumption that the speed of light remains constant is only one of the results of incomplete mathematical calculations. From an experimental perspective, there has never been an observation of the velocity of light relative to a moving object in history, and it is impossible for humans to measure the velocity of a beam of light relative to other beams. The so-called extensive experiments have confirmed the description that the speed of light in vacuum is always constant relative to any reference frame, which not only has deficiencies in basic mathematical knowledge, natural intuition, and basic logical reasoning, but also has serious deficiencies in basic academic integrity.
Citation: Dongfang, X. D. On the Relativity of the Speed of Light. Mathematics &
Nature 1, 202101 (2021).
2. The Morbid Equation of Quantum Numbers
The lowest standard of natural science theory is logical self-consistency.
Specifically, its method and inference must conform to the Dongfang unitary
principle. However, relativity and quantum mechanics, as the basis of modern
physics, are not so, and the problems of quantum mechanics are hidden deeper
because the substantive mathematical principles of quantum mechanics have not
been revealed. The quantum model of valence electron generation orbital
penetration of alkali metal elements with unique stable structure is
investigated. The electric field outside the atomic kernel is usually expressed
by the Coulomb field of the point charge mode, and the composite electric field
in atomic kernel can be equivalent to the electric field inside the sphere with
uniform charge distribution or other electric fields without divergence point.
The exact solutions of two Schrödinger equations for the bound state of the
Coulomb field outside the atom and the binding state of the equivalent field
inside the atom determine two different quantization energy formulas
respectively. Here I show that the atomic kernel surface is the only common zero
potential surface that can be selected. When the orbital penetration occurs, the
law of conservation of energy requires that the energy level formulas of the two
bound states must have corresponding quantum numbers to make them equal. The
result leads to an insoluble morbid equation of quantum numbers, indicating that
the two quantum states of the valence electron are incompatible. This
irreconcilable contradiction shows that the quantized energy of quantum
mechanics cannot absolutely satisfy the law of conservation of energy, and
quantum theory violates the unitary principle. Further, I list the morbid
equations composed of various eigenvalues of the angular momentum of hydrogen
atom described by Bohr theory, Schrödinger and Klein-Gordon theory, and Dirac
theory, and point out that there is an irreconcilable contradiction between the
minimum nontrivial angular momentum eigenvalue determined by the angular
momentum eigenvalue equation in quantum mechanics and the minimum nontrivial
angular momentum eigenvalue of Bohr theory.
Citation: Dongfang, X. D. The Morbid Equation of Quantum Numbers. Mathematics &
Nature 1, 202102 (2021).
3. Relativistic Equation Failure for LIGO Signals
LIGO announced that the detected signal wave with monotonously increasing
frequency is the gravitational wave radiated by the merger of spiral binaries,
thus confirming the general relativity of basing on the assumption that the
speed of light is constant. However, the assumption that the speed of light is
constant has not been proved to be universally valid, and there are many ground
signals with monotonic frequency increase, which means that the qualitative of
LIGO signal is lack of sufficient basis. Only by finding out the precise law of
the characteristic physical quantity of LIGO signal and comparing it with the
precise law of the characteristic physical quantity of spiral binary
gravitational wave, can we judge whether LIGO signal is spiral binary
gravitational wave according to the similarity between the signal and the
theoretical model. This decisive scientific research process has been
intentionally or unintentionally ignored by LIGO. Here I propose a signal wave
spectrum analysis method to clarify the real conclusions of numerical
calculation and image analysis of GW150914 signal wave. Firstly, numerical
calculation results of GW150914 signal wave frequency change rate obey the com
quantization law which needs to be accurately described by integers, and there
is an irreconcilable difference between the results and the generalized
relativistic frequency equation of the gravitational wave. Secondly, the
assignment of the frequency and frequency change rate of GW150914 signal wave to
the generalized relativistic frequency equation of gravitational wave constructs
a non-linear equation group for the mass of wave source, and the computer image
solution shows that the equation group has no GW150914 signal wave solution.
Thirdly, it is not unique to calculate the chirp mass of the wave source from
the different frequencies and change rates of the numerical relativistic
waveform of the GW150914 signal wave, and the numerical relativistic waveform of
the GW150914 signal wave deviates too far from the original waveform actually.
Other LIGO signal waveforms do not have obvious characteristics of gravitational
frequency variation of spiral binary stars and lack precise data, so they cannot
be used for numerical analysis and image solution. Therefore, LIGO signals
represented by GW150914 signal do not support the relativistic gravitational
wave frequency equation, and it is not credible to claim that the GW150914
signal wave is the gravitational wave of a spiral binary star. However, whether
gravitational wave signals from spiral binaries that may be detected in the
future follow the same com quantization law? Only the numerical analysis results
of detailed observation data can give an accurate answer.
Citation: Dongfang, X. D. Relativistic Equation Failure for LIGO Signals.
Mathematics & Nature 1, 202103 (2021).
4. Dongfang Modified Equations of Molecular Dynamics
The unitary principle test of the pressure equation of ideal gas gives a
negative conclusion, so I systematically revise the basic equation of molecular
dynamics. The specific logic and conclusions are as following. The classical
molecular dynamics theory established the wrong physical model of uniform motion
of molecules under the action of an equivalent constant force, and the classical
equations of ideal gas pressure and temperature derived from this model that
violates the principle of mechanics is all incorrect. A variety of physical
models of molecular interaction in accordance with the mechanical principle is
established, and the correct equation of ideal gas pressure is derived
consistently. It is proved that the pressure of an ideal gas is equal to the
molecular energy per unit volume, and the thermodynamic temperature of an ideal
gas is equal to the quotient of molecular average kinetic energy and Boltzmann
constant. Various inferences of different models are consistent, so they comply
with the unitary principle. Finally, I introduce the problem of the definite
solution of the gas molecular rate distribution function that meets the limit
condition of the speed of light, and put forward experimental suggestions to
verify the theoretical gas temperature correction equation.
Citation: Dongfang, X. D. Dongfang Modified Equations of Molecular Dynamics.
Mathematics & Nature 1, 202104 (2021).
5. Dongfang Angular Motion Law and Operator Equations
Quantum mechanics based on Planck hypothesis and statistical interpretation
of wave function has achieved great success in describing the discrete law of
micro motion. However, the idea of quantum mechanics has not been successfully
used to describe the discrete law of macro motion, and the causality implied in
the Planck hypothesis and the application scope of the basic principles of
quantum mechanics have not been clarified. Here, I first introduce the angular
motion law and its application, which seems to be of no special significance as
a supplement to the very perfect classical mechanics, but plays an irreplaceable
role in testing whether the core mathematical program of quantum mechanics of
the operator evolution wave equation meets the unirary principle. Then, the
operator evolution wave equations corresponding to the angular motion law are
discussed, and the necessity of generalized optimization of differential
equations are illustrated by the form of ordinary differential equations.
Finally, the real wave equation which is superior to the Schrödinger equation in
physical meaning but not necessarily the ultimate answer is briefly introduced.
The implicit conclusion is that Hamiltonian cannot be the only inevitable choice
of constructing wave equation in quantum mechanics, and there is no causal
relationship between operator evolution wave equation and quantized energy in
bound state system, which indicates that whether the essence of quantum
mechanics can be completely revealed is the key step to unify macro and micro
quantized theory.
Citation: Dongfang, X. D. Dongfang Angular Motion Law and Operator Equations.
Mathematics & Nature 1, 202105 (2021).
6. Dongfang Com Quantum Equations of LIGO Signal
The signal waveform with monotonic frequency change detected by LIGO is implying
the discrete law of macroscopic quantization. Here, I accurately analyzed the
observation data of GW150914 signal and proved that the Livingston waveform of
positive and negative strain reversal was 7.324218ms ahead of Hanford waveform.
Then, the time of the positive and negative strain peaks of the main vibration
part is corrected by using the superposition waveform, and the numerical results
of the discrete frequency of GW150914 signal are calculated. Finally, a
numerical analysis method using the minimum digit rational number solution of
the characteristic Diophantine equation system was introduced to fit the
quantized Lagrange frequency change rate and frequency jump rate of the GW150914
signal, providing a quantitative basis for inferring accurate information of the
wave source.
Citation: Dongfang, X. D. Dongfang Com Quantum Equations of LIGO Signal.
Mathematics & Nature 1, 202106 (2021).
7. Com Quantum Proof of LIGO Binary Mergers Failure
LIGO claims to have detected a large number of ancient and distant binary
merging gravitational waves. However, only the frequency of GW150914 signal
increases significantly and monotonously, showing the expected characteristics
of spiral double star merger, but it is highly similar to the engine operating
frequency in the starting process of contemporary fighter. LIGO observers should
know which is more likely. Other signal waves of LIGO have no research value due
to lack of detailed data. Here, I further analyzed the frequency distribution
and change law of GW150914 signal, and proved the unreliability of its spiral
double black hole merger assertion by fitting the precise recurrence
relationship of the frequency of GW150914 waveform with macro quantization
significance. The specific process and conclusions are as following. Firstly,
the characteristic equation for effectively correcting the amplitude time of the
waveform is proposed, the specification conditions for the numerical analysis
method of the minimum solution of the characteristic Diophantine equations are
determined, the new correction value of the amplitude time of the GW150914
waveform is given, and then the quantized recurrence equation characterizing the
frequency distribution of the signal is obtained. Then, the complex but clear
data processing program for drawing the com quantum theory waveform is
introduced, and the standard waveform of GW150914 waveform is drawn. It is
pointed out that the drawing of the LIGO numerical relativistic waveform is
opaque, and the conclusion is fuzzy and lacks due scientific analysis. Then, the
iconic maximum frequency of the merger event of GW150914 signal wave source
supposed to be a spiral double star is calculated, and it is confirmed that this
characteristic frequency is missing in the GW150914 waveform. The reason why
neither Hanford waveform nor Livingston waveform has the corresponding characteristic frequency band is further analyzed, which proves that the merger
of the GW150914 spiral double black holes of LIGO is not successful, It means
that the LIGO signal is far more likely to be the signal of the start-up of
modern fighter on the ground than the gravitational wave of the merger of
ancient and far away spiral binaries. Finally, an experimental proposal for
detecting the gravitational wave of the simulated spiral double star system is
proposed to effectively test the confidence of the laser interference
gravitational wave detector.
Citation: Dongfang, X. D. Com Quantum Proof of LIGO Binary Mergers Failure.
Mathematics & Nature 1, 202107 (2021).
8. Dongfang Modified Equations of Electromagnetic Wave
Systematically show the correct solution process of the initial value problem of
Maxwell equations in rectangular coordinate system and cylindrical coordinate
system, and clearly point out that the transverse electromagnetic wave equation
described in the classical electromagnetic theory is the result of incorrect
understanding and treatment of Maxwell equations: the definite solution
conditions of magnetic field and electric field in the same phase that do not
conform to the natural law are assumed in advance, and then the plane transverse
electromagnetic wave mode is determined through the general solutions of the
second-order Maxwell equations, and the conclusion violates the law of energy
conservation, In particular, the mathematical process does not conform to the
solving rules of differential equations. Through this simple example, I clarify
my clear position: since the era of Maxwell’s electromagnetic theory,
theoretical physics has fallen into a strange circle in which the wrong
calculation of celebrities is defined as standard methods and the assumption
that celebrities cannot prove is defined as basic principles, resulting in a
large number of wrong logic and wrong conclusions in physical theory, even some
branches of theoretical physics are completely wrong from beginning to end, and
all these errors are covered up by formal mathematical operations, the formal
mathematics seriously distorts the laws of nature. However, all correctable and
uncorrectable errors have not been found and recognized by mainstream
physicists, and especially the pointing out of these errors has been rejected by
mainstream scholars. A serious question arises: Can the future mainstream
physics change this academic abnormal state?
Citation: Dongfang, X. D. Dongfang Modified Equations of Electromagnetic Wave.
Mathematics & Nature 1, 202108 (2021).
9. Nuclear Force Constants Mapped by Yukawa Potential
The nuclear meson theory evolved from Yukawa potential regards the observed
mesons as its experimental test, which is farfetched. It goes without saying
that there are no mesons in nuclei such as deuterons. However, it is the lack of
scientific basis to construct the wave equation by using the quantum mechanical
operator to act on the unknown function, so as to piece up the exact solution of
the potential function. The relevant calculation results do not form an
inevitable causal relationship with the existence of mesons. Even if a celebrity
patchwork theory is maintained, meson theory should have at least one observable
quantitative inference from the perspective of experimental test theory. Here,
the ground state energy corresponding to the Yukawa potential expressed by the
nuclear force constant and the mass of the PI meson is calculated by the
variational method, and then the average binding energy of the atomic nucleus is
connected with the ground state energy corresponding to the Yukawa potential to
calculate the average nuclear force constant. From this result, it is estimated
that the distribution range of the average nuclear force constant of 118 atomic
nuclei in the periodic table of elements is from 1.093992 to 1.413981. The
results also show that the estimated value of nuclear force constant up to 15 is
unreliable. However, the nuclear force constant cannot be predicted by other
methods. Calculating the average nuclear force constant by using the ground
state energy corresponding to Yukawa potential is only a dead cycle, and the
desire to test meson theory through experimental observation cannot be realized.
This unexpected result shows that modern physical theory has long fallen into an
unrealistically strange circle of formal logic shrouded in the halo of
mathematics: although the conditions and conclusions of the theory are far from
the true description of natural phenomena, the theory can be deduced infinitely,
and is constantly beautified and advocated as a profound revelation of natural
laws. The reason why this paper introduces the average nuclear force constant
mapped by the unreasonable Yukawa potential is to disclose some unique
calculation methods that need to be applied in establishing a reasonable nuclear
force model in the future.
Citation: Dongfang, X. D. Nuclear Force Constants Mapped by Yukawa Potential.
Mathematics & Nature 1, 202109 (2021).
10. The End of Yukawa Meson Theory of Nuclear Forces
Yukawa meson theory of nuclear force originates from the fiction of Yukawa
potential function which distorts mathematics. Its logical essence is to
dismember the physical equation to fabricate a potential function, endow the
mass factor in the fictional potential function with the meaning of meson mass,
and then claim that the nucleon in the nucleus depends on the meson to exchange
force, so there is a meson theory of nuclear force. However, there has never
been a meson in the nucleus. It is obviously unreasonable to say that the
interaction between nucleons is dominated by other substances that are not in
the nucleus. Here I have reviewed Yukawa’s paper on the creation of the nuclear
meson theory in detail, and strictly pointed out that the serious distortion of
the basic mathematical algorithm in the process of fabricating Yukawa potential
function is irreparable, and there is no scientific logic and experimental basis
to prove that the mass factor in Yukawa potential function is a meson.
Specifically: 1) The Yukawa meson theory introduces a delta function without
causality into the operator equation of relativistic momentum energy
relationship, thus very covertly deleting the energy term, which essentially
belongs to tearing and dismembering the operator equation corresponding to the
relativistic momentum energy relationship, seriously distorting the basic
mathematical algorithms and physical logic; 2) Yukawa’s paper tore and
dismembered the relativistic momentum energy operator equation to give a
mutilated equation that meets the expectation but has no physical significance
in practice, and then introduced the unrelated Compton wavelength to knead,
interpreted the mass factor in the exponential factor of the exact solution of
the defective equation as the mass of mesons that do not exist in the atomic
nucleus, and declared that mesons are the medium of nucleon interaction, the
nuclear meson theory thus created is anti-scientific logic; 3) The stationary
solution of the operator equation of the momentum energy relationship of free
particles is Bessel function, but the Yukawa meson theory deletes the energy
operator in the operator equation of the momentum energy relationship and then
solves the mutilated equation, which is equivalent to strongly twisting Bessel
function into an exponential function that meets the expectation, which is a
severe distortion of the basic mathematical algorithm; 4) The calculation
results of the binding energy of the atomic nucleus show that the nucleus cannot
absorb other particles such as mesons when nucleons combine into the atomic
nucleus, while Yukawa’s meson theory insists that mesons are the medium of
interaction between nucleons, which is just the hegemonic fallacy. All these
facts mean that the Yukawa meson theory, which is based on distorting the basic
mathematical algorithms and fabricating potential functions, is a
pseudo-scientific theory and must be completely terminated.
Citation: Dongfang, X. D. The End of Yukawa Meson Theory of Nuclear Forces.
Mathematics & Nature 1, 202110 (2021).