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So far, there are no axioms in physics, only the basic physical units and the basic concepts of derived physical units, as well as a large number of definitions, principles, laws, theorems, etc., scattered in various sub-disciplines of physics. Although there are some fundamental principles of physics that are of great universality across various sub-disciplines, and are generally regarded as universal truths, they are not axioms logically, but are inferences based on the basic physical units and the basic physical concepts of the derived physical units.
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There are many theories in physics that summarize the laws of experimental results, if you want, the theorems obtained through this method can be called axioms, such as Newton's three laws, the law of universal gravitation, the four laws of thermodynamics, etc., they are not deduced from other theorems, but summarized according to experimental results. There are also the assumptions of special relativity, 1The speed of light in a vacuum is the same constant with respect to all reference frames2
The laws of physics apply to all inertial frames, and all theories of special relativity, such as the shrinkage effect and the clock-slow effect, are based on these two assumptions, and if special relativity is considered correct, then these two assumptions become axioms.
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There are axioms, such as motion is an absolute property of matter, and the theory of relativity is an axiom set by itself, and it is certainly incompatible with other theories to analyze physics in a mathematical way. The axioms in mathematics may not necessarily be true in physics, the simplest 1+1 proposition will not have an answer in physics, and the axiom equal to 2 in mathematics is the axiom.
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Axiom is a concept in mathematics, physics does not say that a thing is an axiom, sometimes it is called a public assumption You can say that the laws in physics Principles and rules are similar concepts to axioms, and both axioms and laws are a summary of experimental phenomena.
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No. The task of physics is to seek the essence of physical concepts, principles and laws, and if the essence of physical concepts, principles and laws is clear, the task of physics is completed, so physics cannot establish a system of axioms in its entirety.
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does not exist. To talk about what an axiom is, to put it simply, you need some prerequisites to prove a proposition. Some commonly used true propositions are theorems, but there are always some propositions that cannot be proved. These basic assumptions are called axioms.
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Physics is about the study of phenomena, and the method of testing is also based on experiments, so it should be considered that there is no axiom system in physics, that is, the axiom system used in physics.
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Agree with this statement, different disciplines have different ways of definition, axioms are concepts, theorems, and laws in mathematics that seem to be more accurate when expounding physical laws, perhaps these laws are not universal constant principles, because the universe we know has just entered the threshold, that is, after 100 million years, we may not be able to find the universal truth of the entire universe, with the development of science, the expansion of our horizons, the universe we know is also constantly providing new materials for understanding, and constantly updating our level of understanding, We can wait until the human race is extinct, and maybe we don't have to finish understanding the universe, so at the beginning of the foundation of physics, it is very appropriate to summarize some of the laws and theorems of understanding.
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For now, it does not exist, in fact physics itself is a discipline that explores axioms, and due to its special properties, there can only be an ideal state and not an absolute axiom (the laws of thermodynamics should be axioms, after all, everything obeys thermodynamics).
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