yuanxue60616 Posted March 17, 2019 Posted March 17, 2019 Simultaneity: special relativity, matter wave, uncertainty principle and QM By Xuefeng Frank Yuan 1: Relational value and its correlational value: symmetry of relational values For any two associated physical quantities present, such as space and time or a pair of conjugate variables, the relational value reflecting the changes of two associated physical quantities, such as the speed or the product of conjugate variables changes, corresponds to a correlational value. This correlational value also reflects the changes of the associated physical quantities. The relational value and its correlational value satisfy two rules below: 1) The relational value and its correlational both have extreme values. Their extreme values are equal in magnitude and opposite in polarity. That is, if a relational value has a maximum value, its correlational value has a minimum value; if a relational value has a minimum value, its correlational value has a maximum value. When a relational value reaches the extreme value, its correlational value also reaches the extreme value at the same time. 2) The relational value, its correlational value and their extreme value satisfy a certain mathematical relationship. Follow two rules above, special for speed or the product of conjugate variables changes and their correlational value satisfy equation below. The product of relational value and its correlational value is equal to square of their extreme value. For example, if speed v corresponds to a speed u. u is correlational value of v. We have vu = c^2 c is speed of light and extreme value of v. 2: The third speed in special relativity: speed of the relativity of simultaneity In special relativity, we have speed v. Speed v has a correlational value, this correlational value is still a speed, I present this speed as u. Then u is the third speed other than the speed v and speed of light c. We discuss the existence of u from Einstein's analysis of simultaneity in special relativity. The relativity of simultaneity is a time difference between the two points of the relative motion inertial system in the direction of moving, which is a length of time. Let’s check the Lorentz transformation in special relativity. x’ =ϒ (x-vt) t’ = ϒ(t-xv/ c^2) ϒ is Lorentz factor. For space, time and speed, we could use space and speed to calculate time, or use time and speed to calculate space. From time coordinate transformation t’ = ϒ(t-xv/c^2), easy to see we use xv/ to calculate the relativity of simultaneity. As x is the spatial coordinate. we deduce the speed u to calculate the relativity of simultaneity. u =c^2/v. this speed u meets the rules in 1. Move v to left side of this equation, we get vu = c^2 3: Matter wave: simultaneity and uncertainty According to the theory of matter waves, the energy of a substance is proportional to the frequency, and the momentum of the substance is inversely proportional to the wavelength. Frequency formula: E = hϒ Wavelength formula: P = h/ƛ E is the total energy of the substance. h is the Planck constant. ϒ is the frequency of the matter wave. P is the momentum of the substance. ƛ is the wavelength of the matter wave. The group speed of matter wave is v. The phase speed of matter wave = ƛϒ = E/P = m c^2 /mv = c^2/v. The phase speed of matter wave is same as the speed of relativity of simultaneity. Any object moving at speed v is accompanied by a matter wave of speed c^2/v. There is indeed a speed c^2/v. We could see it in special relativity directly. Then it shows that the matter wave is really the wave of simultaneity. The two formulas of matter wave are not independent of each other. Frequency is the reciprocal of a time period. From the frequency formula of matter wave, we could see the energy of a substance is inversely proportional to a time period of simultaneity. We could use speed of relativity of simultaneity to calculate the space segment of simultaneity. As this substance is logically simultaneously existing in this space segment, this space segment is uncertain space for this substance. It proves that simultaneity and uncertainty is direct related. It is important because we do not know why observation will cause the collapse of wave function. If the matter wave is wave of simultaneity, because observation, like knowing the location of an electronic, will change the uncertainty, so it will also change the simultaneity. 4: Conjugate variables and simultaneity: uncertainty principle and extreme value Follow the rules in 1, the product of a pair of conjugate variables changes is the relational value. I use the symbol x represent this product. This product has a correlational value, which is also the product of the pair of conjugate variables changes. I use the symbol y represent it. What is the physical meaning of y? Take a pair of conjugate variables: energy and time. The physical meaning of x is the product of the amount of change of energy and time. y is the correlational value accompanying to x. It is the measure of simultaneity relative to different energies. According to the uncertainty principle, we already know that x has a minimum value: h/4π. Then y has a maximum value, which is also h/4π. We think about the circumstances under which x and y will have extreme values . Still use the pair of conjugate variables, energy and time. Because x contains the change of energy, when a substance is not exchanged with external energy, if x still exists, then at this time, the x should be at the minimum value. At the same time, y is at the maximum value. This is the same for all substances, no matter what the energy of the substance is. Therefore, De Broglie's theory of matter waves is the case when y is at the extreme value. Since the amount of y divided by the energy of the substance is the time period of simultaneous, and y is at the extreme value h/4π, the length of this maximum time period of simultaneous is equal to h/4πE. I mentioned in 1, the product of x and y should equal to square of h/4π. As a proof of my theory, I think we could deduce the equation below from current QM theories. xy = (h/4π)^2 5：Quantum superposition principle and simultaneity: excluded the middle Quantum superposition is a fundamental principle of quantum mechanics. It states that, any two (or more) quantum states can be added together ("superposed") and the result will be another valid quantum state; and conversely, that every quantum state can be represented as a sum of two or more other distinct states. These quantum states simultaneously exist. I will talk about why it violates the common sense. There are three basic laws of formal logic. 1: The law of identity 2: The law of non-contradiction 3: The law of excluded middle The law of identity states that something is what it is. Expressed as symbols: A = A. The law of non-contradiction says that a statement cannot be both true or false at the same time and in the same way. Expressed as symbols: A ≠ -A. The law of excluded middle says that a statement is either true or false. Expressed as symbols: = A or = -A. By putting all three laws of formal logic through reversion, I derive the laws of anti-logic. The way to achieve reversion is to reverse the signs into their opposites: the “=” is now “≠”; the “≠” is now “=”; the “A” is now “-A” and the “or” is now “and”. Here I only do the odd-numbered transformation because the even-numbered transformation does not produce results of anti-logic. The law of identity becomes two laws of difference. 1: A ≠ A; 2: A = -A. The law of non-contradiction becomes two laws of contradiction. 1: A = -A; 2: A ≠ A. The law of excluded middle is more complex, it can offer a variety of results. It produces two laws of middle. 1: ≠ A and ≠ -A; 2: = A and = -A. The law of excluded middle can also derive: ≠ A or = -A, = A or ≠ -A, etc. These are not anti-logic, therefore not required. It is easy to tell that the law of difference 1 and the law of contradiction 2 are the same; the law of difference 2, the law of contradiction 1 and the law of middle 2 are same. Removing duplicates, we get three laws of anti-logic. The law of difference: A ≠ A; The law of contradiction: A = -A; The law of middle: ≠ A and ≠ -A. The law of contradiction and the law of middle are in conflict. We separate these three anti-logic laws into two groups. Group 1: The law of different: A ≠ A; the law of contradiction: A = -A. Group 2: The law of different: A ≠ A; the law of middle: ≠ A and ≠ -A. Conversion 1: When the law of contradiction exists, applying the law of non-contradiction (cannot be both true), Any of A and -A is denied, it will result in the law of middle. Because A = -A. Denying A will also deny -A, denying -A will also deny A. Conversion 2: When the law of middle exists, applying the law of excluded middle (cannot be both false), Any of A or -A is affirmed, it will result in the law of contradiction. Because the law of middle logically requires that "A is affirmed" will result in "-A is affirmed", "-A is affirmed" will result in "A is affirmed". From conversion 2, the law of middle will result in non-real contradiction. A and -A logically simultaneously exist. It proves that superposition principle is logically equivalent to the law of middle. This is why quantum mechanics is contrary to common sense, it violates the law of excluded the middle.
Strange Posted March 17, 2019 Posted March 17, 2019 ! Moderator Note OK. This appears to be exactly the same stuff you have posted before. There is no point in starting a new thread on it. You have failed to provide support for your claims before and I see no reason to expect you will this time. Closed pending moderator discussion 1
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