Abstract
On the basis of the new formulation of the problem of three bodies were obtained: 1) a new definition of the locus of the points of an equilateral hyperbola; 2) a new "dynamic formula of the golden section" to the representative point of a scalar field displacement of the center; 3) a new interpretation of the deleted point as the point preceding the transition to another branch of the rectangular hyperbola. It is shown that the author introduced the space of possible states of a dynamical system described by a scalar field as a hypersphere with a displaced center - quantized punctures offset center. That is in addition to the known quantization of time and the level of quantization is proposed a new method based on the quantization introduced by the author of the concept of the quantum motion, which is in contrast to the "photon" of theoretical physics is filled with rigorous mathematical content. Thus, the overall dimension of the state space and the space of possible states is (3n + 2). It is proved that the curvature of the space of possible states (phase space + hyperspace displacement of the center), as predicted by Einstein, is a geometric property of the scalar field. The space of possible states is a pulsating wave hyperspherical variable curvature center coordinates which are the algebraic sum of scalar waves of torsion on the branch of an equilateral hyperbola and scalar waves exponential motion. The proof is based on the quantum analogue of the Pythagorean theorem.
Highlights
Рассматривается введенное автором пространство возможных состояний динамической системы, описываемое скалярным полем в виде гиперсферы со смещенным центром
It is shown that the author introduced the space of possible states of a dynamical system described by a scalar field as a hypersphere with a displaced center — quantized punctures offset center
It is proved that the curvature of the space of possible states, as predicted by Einstein, is a geometric property of the scalar field
Summary
Рассматривается введенное автором пространство возможных состояний динамической системы, описываемое скалярным полем в виде гиперсферы со смещенным центром. Что пространство возможных состояний является пульсирующей гиперсферической волной переменной кривизны, координаты центра которой представляют собой алгебраическую сумму скалярных волн кручения по ветви равнобочной гиперболы и обратных им скалярных волн экспоненциального движения к точкам смены знака. Ключевые слова: скалярное поле, выколотая точка, центр смещения, квант движения, прямое движение, обратное движение, гиперпространство состояний, отображение пространства, гиперсфера, псевдосфера. С испоëüзованиеì обозна÷ений pij (i, j = 1, 3 ) äëя эëеìентов ìатриöы Фробениуса P эти конструкöии в рассìатриваеìоì приìере иìеþт виä:. На языке теории поëя äаже простейøая заäа÷а ìоäаëüноãо управëения явëяется заäа÷ей управëения уãëовыìи скоростяìи ротора векторноãо поëя rotP = 2col[ω1, ω2, ω3], а вовсе не показатеëяìи то÷ности и ка÷ества управëения, как это справеäëиво äëя второй трактовки физи÷ескоãо объекта. При саìых общих преäпоëожениях о правых ÷астях уравнения описатü свойства еãо реøений, — испоëüзована посëеäняя параäиãìа äëя реøения сëеäуþщей заäа÷и
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