Since Einstein proposed that mass affects the shape of space, this physical phenomenon seems to be shaking our math building.
Many theories like the sum of the inner corners of a triangle are not equal to 180 degrees.
This seems to be something wrong with our math.
Some people think that spherical triangles are one of triangles, which misleads our understanding of mathematical triangles.
In mathematics, the definition of a triangle is: is a closed figure composed of three line segments that are not on the same straight line in the same plane and are connected in sequence.
Because the definition of a triangle has fundamental significance for the formation and derivation of other concepts in mathematics,
Therefore, this definition of a triangle is strict.
We think that whether a certain shape is a triangle must be compared with the definition.
Why is a spherical triangle not a triangle?
The first, the three segments must be in the "same plane".
It is obvious that the sphere is not a plane, but an arc.
The points we make in calculus are only infinitely close, and cannot be equal.
The second one, as long as it is an absolute spherical surface, there is no line segment.
absolute spherical theory is that only tangents are straight lines. It does not pass through the sphere after a little bit. The tangent does not belong to the sphere.
tangents are "lines" outside the sphere, and "lines" are not on the sphere.
The third one, our line segment is defined as: "part on a straight line".
There is no straight line on the sphere, where does the line segment come from?
triangle is composed of the end of line segments connected.
has no line segments, so there are no triangles.
The fourth one, spherical triangle, where is the outer corner of ?
How to extend the sides of a spherical triangle? After
is extended, is it a straight line or an arc?
These points are enough to prove that spherical triangles are not a type of triangles.
triangle is a closed figure composed of three line segments with an inner corner sum of 180 degrees.
In this way, our mathematical foundation will not be shaken.
Why do we still want to name spherical triangles?
We know that mad cow disease virus is an heterotypic protein, also called toxic prions.
, however, its pathogenicity and infectivity are similar to that of viruses. Initially, we did not distinguish it from viruses from microstructure, so we named it the Crazy Bull Virus.
has always been used to this name. It has been used to it for a long time and cannot be modified.
The source of the spherical triangle is Einstein's proposed mass to make the space arc surface.
The range of arcing depends on the size of the mass.
The triangle on the space plane changed due to the influence of mass.
plane changes and arcing, causing the triangle to follow the arcing.
Einstein examines the physical phenomenon of triangle arcing from the perspective of relativity, not a mathematical phenomenon.
Therefore, in physics, spherical triangles, or arc triangles,
However, mathematically, it does not belong to a triangle.
The definition of mathematics is an absolute truth, and it is essentially different from the laws of physics.
Mathematics studies absolute truth, and
The laws of physics must be relative truth.
Relative truth requires many conditions to be added. After many years of research, it will be modified again.
The laws of physics are in the process of development and will be corrected through experiments.
The laws of physics basically cannot achieve the process of absolute truth.
The absolute truth of the laws of physics exists, and it is only the truth under hypothetical conditions.
It is a bit similar to the mathematical definition.
The two points are closest to the straight line, which is mathematics.
is not necessarily true in physics.
