论电磁学中高斯定理的谬误

说明高斯的电通量定理是谬误的。

高斯是一个伟大的数学家和物理学家，在数学和物理学史上，做出的巨大贡献是有目共睹的，所有后人都尊敬他。但这并不能说明高斯的电通量定理就是正确的，真理就是真理，这里所提出的高斯的电通量定理的谬误，并非要违逆高斯这位伟人的本人，而是只就真理说真理而已。

高斯的电通量定理自相矛盾的结果，其原因是在进行数学分析和推导过程中，二重积分在纽曲空间里的积分偏差所致；得出要解决这一矛盾，就必须要产生一门新的数学领域：纽曲空间微积分。

关键词：电场 磁场 电通量 高斯定理 库仑定律

Abstract：Conception of this paper is very simple and clear， that is the most basic laws of mathematical propositions. Any of a mathematical proposition： the results should be in line with its calculated “test root” requirements； namely in every math proposition， calculation or reasoning out the results according to the conditions set title， that can’t be inconsistent with the title set conditions， otherwise， the results is not correct. This is the basic law of mathematics.

Electric flux in Gauss theorem， Gauss’s electric flux theorem is derived according to Coulomb’s law by double integral. Whether it is calculated according to Coulomb’s law or Gauss theorem can draw the following calculation or reasoning results： One， two point charges can not be close be each other， otherwise， the interaction force could theoretically reach infinity. The interaction is inversely proportional to the relationship between the square of the distance. Two， the distance between the line charge and point charge can not be zero also， otherwise， the interaction force between them also will reach the theoretically infinity， the relationship of the interaction is inversely proportional to the one square of the distance. Three， point charge and the flat charge of relations is a constant， that point charge and a flat charge effect relationship has nothing to do with the distance. This creates a big contradiction： namely if we take a point A in the plane of the plane of the charge， then the charge on the point A is the obvious classic point charge， if we taken through the point A of the point charge， make a straight line BC on the plane in the plane of the charge， the straight line through the point of BC； then this straight line BC in the plane of the plane of the charge， and the charge on this line BC is one of the classic line charge. Well then， just through the taken in the plane of the charge A point charge， make a straight line AD perpendicular to the plane of the plane of the charge， the vertical AD intersects with the plane of the plane of the charge at point A. This gave the following results： The point charge D outside of the plane of the plane of the charge whether it is with the A point charge or the line charge BC in the plane of the plane of the charge， they are not close the each other， the interaction relationship between them is inversely proportional to the square of the distance or one time square distance. That is when the distance AD is zero， thereinto， point charge D and point charge A， or point charge D and the line charge BC， the force between the charges will reach theoretically infinite. This is creates a paradox in itself generated Gauss theorem， thus speaks the Gauss electric flux theorem is fallacious.