The language of mathematics gave birth to a tool for the truth. Mathematics has the proof. Mathematical structure isn’t built on the conjectures or theories. Elements of its design are valid statements, theorems.
The Universal principle is not a new physical or philosophical theory presented under the scrutiny of existing theoretical assumptions and conventions. It is a theorem whose language is the language of certainty of mathematics. All of its space-time relations are derived from a single, fundamental and rigid equity for speed.
Since there is no way to express speed, space or time without their mutual relations, they are inseparably one. The variables of this entangled Trinity are the building fabric of the universe.
Because of their pure mathematical structure built solely on the basis of mentioned scalar tautology, all of derived principle equations count absolutely accurate values.
As in the case of mathematical theorems, theories, opinions and conventions are irrelevant in proving or disproving the validity of the principle.
It relies on the arguments of mathematics, logic and results. It describes, explains and calculates.
Only the principle that fundamentally explains all universal phenomena and has been the most accurate, simplest and most logical may be the law of laws. In scalar dynamic of nature such law must be scalar.
Cognitive and philosophical implications of universal principle recognition mark the end of contradictory plurality of localized scientific and religious paradigms and the beginning of time of universal knowledge.
If the result of the product of zero and infinity is not defined then the system located within dimensions of their ideas has no definition. On a scale between zero and infinity, we establish the system. Universally valid definition of its geometry of motion proves its validity. We prove that the system is. We establish a platform for its unification.
Although acceleration is, by its descriptive definition, the expansion of velocity, where celeritas /kɛ’lɛritas/ or /tʃɛ’lɛritas/ is a Latin word translated as “swiftness” or “speed”, we prove that gravity is expansion (dilation) of the speed of light (celeritas c), i.e. the genesis of space in time. From this evidence, we explain the arrow of time. Implicitly, the foundation of a complex manifestation of nature is deduced to a tautological relationship between space-time variables, with the consequence of a unification of the reference measurement system. By unique relation, we connect the predictions of General and Special relativity. We introduce the scalar principle valid in all space-time dimensions of the universe.
Geometric demonstration located in v, t diagram explains the nature of the period of a pendulum, i.e. the universal connection of time with velocity (radius) and acceleration. Conceptual nature of the principles proof points to its universal validity. In other words, if it is valid for a circle, it is valid. Through the geometry of free fall we describe physical nature of irrational numbers π and √2. We demonstrate physical matrix of scale √2nπ. Through the relationship between the variables of space, time and velocity, using the principle of the pendulum, we illustrate the foundation of the law of conservation of energy. Analyzing its motion we point to nature of distortion of Euclidean geometry.
Geometric demonstration of free fall and rotation reveals space-time nature of the genesis of circle. We show that the operations with radius are equivalent to operations with velocity. Consequently, conventional spatial unit for radius (m), becomes equivalent to dynamic space-time unit for speed (m/s). We prove that the velocity is a physical equivalence of geometric idea of radius.
Through a link with the speed of light, explained is the nature of ubiquitous but one of the most secretive and controversial phenomenon in nature, gravity. Implicitly, explained is the nature of constantly measured speed of light and the vector of time. From this simple, rigid and tautological relation, without the use of physical constants, derived are universal formulas for motion.
Basic concept of concisely presented Universal Principle is compared with conventional, far more complex model, indicating the crucial Relativistic problem of understanding the indivisible scalar nature of space-time entity.