yuanxue60616 Posted March 7, 2019 Share Posted March 7, 2019 (edited) Non-real relational values and simultaneity: the relationship between special relativity, matter wave and uncertainty principle 1: For any two associated physical quantities present in physics, such as time and space or a pair of conjugate variables, the relational value reflecting the two associated physical quantities changes, such as the velocity or the product of conjugate variables, is the real relational value. It corresponds to a non-real relational value. The non-real relational value also reflects the changes of the associated physical quantities. The real relational value is defined by the relevant physical quantities, so it cannot alone prove the correlation of the associated physical quantities. The non-real relational value and the real relational value both have extreme values. Their extreme values are equal in magnitude and opposite in polarity. That is, if a real relational value has a maximum value, the non-real relational value has a minimum value; if a real relational value has a minimum value, the non-real relational value has a maximum value. When a real relational value reaches the extreme value, the non-real relational value also reaches the extreme value at the same time. The real relational value, the non-real relational value and their extreme value satisfy a certain mathematical relationship. 2: The velocity of material movement is the real velocity, which corresponds to a non-real velocity. We discuss the existence of this non-real velocity from Einstein's analysis of simultaneity. The two points in space in different inertial frames have different simultaneity, this is the relativity of simultaneity. Einstein's conceptual analysis is a qualitative analysis. To derive the spatiotemporal transformation in the special relativity, qualitative analysis is not enough, quantitative analysis is needed. The relativity of simultaneity is the time difference between the two points of the relative motion inertial system in the direction of moving, which is a length of time. If the ratio of this length of time and the length of space between two points is linear, then we have a velocity (this linear relationship) to quantify this length of time. From the Einstein's analysis of simultaneity, this velocity is related to both the velocity of light and the real velocity and it is neither velocity of light nor real velocity. This velocity is the third velocity other than real velocity and velocity of light: a non-real velocity. In this case, the Lorentz transformation of the special relativity naturally implies this non-real velocity. So logically we can restore this non-real velocity from the Lorentz transformation. This is very simple, we only need use the molecular part of the time coordinate transformation formula in the special relativity:. quantifies the relativity of simultaneity. x is the spatial coordinate. It is easy to deduce that the non-real velocity is equal to . The maximum value of the real velocity is the speed of light. The minimum value of the non-real velocity is the velocity of light also. Their product is equal to the square of the speed of light. It is easy to see that this non-real velocity is the phase velocity of matter wave. Any object moving at velocity v is accompanied by a matter wave of velocity . There is indeed a non-real velocity of . It is an integral part of time and space unity and an integral part of the material movement. If we believe that this is not a mathematical coincidence, we finally know the physical meaning of the phase velocity of matter wave, it is the measure of the relativity of simultaneity. 3: The product of a pair of conjugate variables is a real relational value. I use the symbol x represent this product. This product will correspond to a non-real relational value, which is also the product of the pair of conjugate variables. 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 non-real relational 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, its corresponding non-real relational value 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. The frequency formula of the matter wave actually gives a time period of simultaneous. 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. It multiplied by the non-real velocity is the length of the space with simultaneity, easy to get the value h/4πP. For a moving matter, the frequency formula of the matter wave can derive the wavelength formula. The two formulas of matter waves are not independent of each other. Simultaneity will cause interference. And impossible to observe a presence without changing simultaneity. 4: The relation of non-real relational values and superposition principle, please see my article “Superposition principle and irrationality”. Superposition principle and irrationality.docx Edited March 7, 2019 by yuanxue60616 no content Link to comment Share on other sites More sharing options...
QuantumT Posted March 7, 2019 Share Posted March 7, 2019 (edited) You need to make your case here, in writing on this site. Opening a thread with just links is a no go. Edit: Better (I think...) Edited March 7, 2019 by QuantumT Link to comment Share on other sites More sharing options...
swansont Posted March 7, 2019 Share Posted March 7, 2019 Word salad is not going to generate a lot of interest, and neither is expanding the discussion to more topics. Quote The maximum value of the real velocity is the speed of light. The minimum value of the non-real velocity is the velocity of light also. Their product is equal to the square of the speed of light. The product of a real number and a complex number is not going to be a real number. I assume by non-real you mean complex or imaginary. If not, you aren't going to get very far without explaining your terminology, or making up new meanings for existing terminology. Link to comment Share on other sites More sharing options...
yuanxue60616 Posted March 7, 2019 Author Share Posted March 7, 2019 the speed of phase wave is real number, the phase wave itself is not real. Link to comment Share on other sites More sharing options...
swansont Posted March 7, 2019 Share Posted March 7, 2019 26 minutes ago, yuanxue60616 said: the speed of phase wave is real number, the phase wave itself is not real. What, pray tell, is a "phase wave"? (I hope you read what I said about making up new terminology) Link to comment Share on other sites More sharing options...
studiot Posted March 7, 2019 Share Posted March 7, 2019 1 minute ago, swansont said: What, pray tell, is a "phase wave"? (I hope you read what I said about making up new terminology) Isn't 'pray' made up new terminology in Science? Though I'm sure I've heard legends of such a proceedure. Link to comment Share on other sites More sharing options...
Strange Posted March 17, 2019 Share Posted March 17, 2019 ! Moderator Note Closed at OP's request 1 Link to comment Share on other sites More sharing options...
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