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Exploration on the Application of Mathematical Knowledge in Physics
At first, the concept of force had human biological significance. For example, the pushing and moving of objects on the ground are all caused by force, so people always understand natural forces by artificial forces. The material world is moving with the natural forces, but it is obviously inappropriate for us to treat nature by analogy with the idea of artificial inertia mechanics. Force is defined as "something that causes objects to move and change", but people just misunderstand the common facts. The question is, what is the essential reason for the mechanism that nature can produce natural inertia similar to mechanical motion? They are essentially different and cannot be treated in a completely analogous, unified and equivalent way.

At present, our physics is a subject based on mechanics, but now it seems that everything in physics can be attributed to mechanics, that is, all mechanics are quantitative and completely described by mathematics. Fuzziness of force: chemical affinity, repulsion, immunity, resistance, vitality, vigor, strength, influence, etc. It seems that everything has become a mechanical category. Historical tradition seems to take the mechanical image of the world as its physical content, and develops and evolves under this mechanical framework. Human eyes can see, ears can hear, nose can smell, mouth can taste, brain can think and other functional attributes, can human beings be explained by mechanistic physics? What is force? We cannot explain it.

The purpose of mechanics is to calculate the magnitude, velocity and displacement of force, and force can only explain the changes of momentum, velocity and distance in motion. It is effective to treat force from the perspective of application. Mechanics can't reveal the essence, and the concept of force from a cognitive perspective seriously confuses people's sight. Confusing the relationship between human power and natural power will lead to unclear understanding, so we don't know what natural power is. I only saw the movement of the object's position change, so I mistakenly thought it was driven by the action of force. But we can't see the change of material form, which is why the position and motion of objects change.

Although natural force and artificial force are equal in measurement results, their causes are completely different and remain unchanged under coordinate transformation. Under the action of pure mathematics, all the differences in nature are completely obliterated, which cannot be revealed or explained by mathematics, and only makes sense in a relatively artificial coordinate system. At present, we only know the function of force, but we don't know the cause or source of force. In fact, natural movement already contains the reasons for movement.

Air is one of the most important material concepts in nature, but it is ignored by physics and divorced from its material significance. Natural force should not be an abstract concept beyond matter or space gas. On the contrary, natural forces are caused by the change of gas interaction inside and outside the object. The concept of force can't accurately reflect the interaction process between substances, and the ontological interpretation of mechanical natural view must start from materiality, because it is the cause of all natural movements, which makes the force of object movement completely different from that of material change.

Physics should not only study objects and motion, but also refer to matter and all natural things, that is, to study the interaction and correlation between different forms of matter, from quantitative technical means to qualitative explanation. Physics should study matter. Whether we know it or not, only matter is real in the world, because everything comes from matter, so we should put the cart before the horse. Any movement position, distance, speed, direction, transformation and changing force can not be separated from the action of this substance. Force is not the basic concept, but the interaction between substances is the basic concept. Without matter, nothing exists.

There is no process and reason for the interaction and transformation of matter in physics. Matter in physics is not the core basic object to be studied, but mechanics. Matter has no direct effect on others, and matter has become an empty and meaningless concept. The so-called physics only puts forward and uses physical concepts without physical content, and the so-called laws are all put forward to meet the requirements of mathematical calculation by imitating Euclid's mathematical form. Why not explain it in words? Because they can't explain it. Now physics is represented by mathematical symbols, which can be used for practical calculation and avoid the difficulty of interpretation.

Mathematics is produced when considering the object, and then separated from the object, but it is obviously inappropriate for physics to treat physics in a mathematical way. Mathematics can ignore the object of mathematics, which is understandable, because it cannot be considered. Mathematical postulates or axioms are generally accepted without proof, and then other theorems are derived. It is possible to adopt this method in mathematics, which is the characteristic of mathematics. But it is obviously inappropriate for physics to adopt or imitate this logical deduction method of mathematics. All physical theorems and laws are artificially defined after observing nature, and laws are considered to be self-evident and indisputable truths. Similar to autonomy, the law actually masks the reasons for effective interaction in the process of things. For those who believe that nature is chaotic and inexplicable, but blindly worship supernatural gods, the deduced law cannot but be said to be an improvement.

Mathematics can also be said to be the product of human imagination and ideals, which is not necessarily a fact, but physics can't be like this. If it is not true, what is physics? Physicalization of mathematics is to meet the practical application of mathematics, but physicalization is to avoid the difficulty of explaining physical reasons. Physics, which imitates mathematical methods and takes mathematics as a means of description, no longer belongs to physics, but completely belongs to mathematics. Just a title with a physical name but no physical content. The essence of physics now is mathematics.

The purpose of physics is to find the original source of the causes of material changes, to study what causes geometric figures to form, and all the preconditions. At present, physics is not considered from the material scope, but from where? There is nothing in the world, and everything in the world can't live without it. Reason and things are inseparable and coexist. Reason refers to the reason or essential reason of things and phenomena. If this thing does not represent matter, then the reason for this thing should not be called physics, otherwise physics will become an empty thing. In fact, there was a crisis in physics on the day it was founded, but it was not clearly shown.

Effective function of mathematics

Mathematics has achieved great success in practical application technology, and its achievements in application technology are undeniable. The practical application of mathematics in scientific activities is obvious. Mathematics itself belongs to a practical technical tool. It is no exaggeration to say that there is no science without mathematics. Mathematicians or geometricians have prepared various mathematical formulas or geometric forms for physicists to choose from. Formulas were invented by mathematicians through abstract induction, which played a role that physicists could not play. This is the role of mathematics. People are encouraged to try to solve all problems by mathematical methods.

The beauty of mathematics is expressed in form, and the formalization of mathematics is inevitable, because it is abstract in itself and does not need specific content. Mathematical formal system is an abstract representation without any real material meaning, that is, without considering any material changes. Mathematics is only a quantitative description of phenomena or results, regardless of substantive reasons. The only possible way to grasp the formula of phenomena through observation and experimental facts is to get rid of the causes of these phenomena, that is, to look for mathematical laws without looking for reasons. Its purpose is for practical application, and there is no difference between knowing the cause content and not knowing the cause content.

Mathematics has its own characteristics, which are highly symbolic, abstract, formal, logical and simple. We pursue simplification, not just simplification without content in mathematics. Mathematics seems easy and simple, but there are no actual facts in essence, so we sometimes complicate the problem of cognition. Mathematics only pays attention to the changes in the number of forms, and it is easy to ignore the changes in content and relationship. The substantive reason is only before the fact or production, not in the process, and not after the result.

These are the relations between mathematics and physics. I hope they can help you. O(∩_∩)O