Quantum theory of gravitation

Available online at www.ilcpa.pl International Letters of Chemistry, Physics and Astronomy 5 (2012) 35-45 ISSN 2299-3843 Quantum theory of gravitation Zdzislaw Pluta, Tadeusz Hryniewicz* Koszalin University of Technology, Raclawicka 15-17, PL 75-620 Koszalin, Poland *E-mail address: „Imagination is more important than knowledge“ Albert Einstein ABSTRACT In the paper, the outline of a new quantum theory of gravitation is presented. The energetic states of a material body, stable and unstable, are described. Characteristics of a body motion in a gravitation-inertia space-time has been given. It has been proved that all the time both gravitation and inertia are co-existent, independent on the position of a moving object. This is the reason of that twolink name of the space-time. A thorough in-depth analysis of the problem made it possible to state that so called the law of common gravity is a hyperbolic approximation of a proper course of inertia force. Therefore the mentioned courses have only two common points. One of them, the initial point belongs also to the course line of the gravity force, constant on the whole length of space-time. This theory is adequate in character and thus generally does not corresponds with the existent classical theory of gravitation. Keywords: Gravitation; Space-time; Potential; Potential field; Principle of energy conservation 1. INTRODUCTION Our common knowledge about the gravitation is quite large. To say more, it is rich with the variety of interpretations of this phenomenon. May be this is the reason it cannot be recognized as closed, having a uniform structure, without any lacks. These lacks should be completed with a new adequate cognitive material [1-6]. Knowledge is very important, but the imagination is even more important (see: aphorism by A. Einstein). There are limits of knowledge but imagination seems to have no limits. The Authors would like to get out of the limits in view of presentation our own look at that natural phenomenon which ist he gravitation. As introduction, it is worth admitting some observations and remarks on the existent theory of gravitation. It is stated that the inertia mass is equal to the gravitation mass. It might be this differentiation is not needed on the cognitive way. Thoughts have been directed to inertia and gravitation of a mass, whereas it should be related to the acceleration. There are accelerations of inertia and gravitation. The inertia acceleration results from inertia of a material body being in the range of the earth sphere. The gravitation acceleration is the consequence of reacting just the planet on this material body. Inertia is an inclination of a body to accept a stable state [7]. Gravitation is the ability of Earth to attract material bodies International Letters of Chemistry, Physics and Astronomy 5 (2012) 35-45 [8]. There are apparent differences in both these mental magnitudes, being the phenomena as well. Such a determination of these magnitudes results from resenting them by senses. It is worth adding that all material magnitudes of human world have been classified. It was presented in a scientific essay [9] and the monograph [10]. Thus both inertia and gravitation are significant in the body motion towards the Earth. This description will be adequate if in the reality the description both phenomena will be taken into account. In consequence, the value of the gravity acceleration will be described by a lower number. Up till now the gravity acceleration only was considered, neglecting the inertia acceleration in its loading point. This is why the gravity force used to be divided into determined components apart from that procedure is not in agreement with the gravity nature. The gravity force has univocally determined direction and a sense, and cannot be divided into any components. That procedure can be done in case of inertia force which is the product of a body mass and its acceleration. One cannot agree with the statement that gravitation is just the bend of space-time [11]. This bend is the result of synergy of gravitation and rotary motion of the earth globe. They are only some exemplary to supplement the essential remarks on existent knowledge of the gravitation. Limited frames of this paper make it impossible to discuss all detailed problems connected with the matter. They are of great importance to reveal the problems. 2. STABLE STATE OF A MATERIAL BODY IN THE CIRCUMEARTH SPACE: FIRST COSMIC VELOCITY Such a state of a material body takes place if it is on a stable static potential field and at the same time on the kinematic field of that type. Therefore an energetic equilibrium with the equality of centrifugal and gravity forces takes place with the stress on co-existence of the former one with inertia force. Let us consider the motion of a body of mass m on the trajectory of radius ro (Fig. 1). This is a circle orbit situated just above the Earth surface. Its radius is comparable with the average radius of the planet rz, and it is placed in the equator plane. The orbit forms a stable static potential field SSPF, and the trace of rotating plane – kinematic potential field KPF. Therefore a body is always on the cross-roads of these fields: still/motionless and moving with a uniform motion at velocity vos which used to be called the first cosmic velocity vI. That is a velocity which should be applied to the body, tangent to the Earth surface, so that it runs close over its surface (assuming lack of atmosphere) [12-14]. Fig. 1. A body on the circular orbit in a stable energetic state 36 International Letters of Chemistry, Physics and Astronomy 5 (2012) 35-45 The condition of the force equilibrium of that body takes the form: F0 = Q ⊗ B0 (1). Symbol Fo denotes here a centrifugal force, Q – is the gravity force, and Bo – is inertia force (the first one used to be called centrifugal inertia force, the third one as centripetal inertia force). In this case the role of the centripetal force is played also by the gravity force Q, which co-exists with force Bo. The co-existence state of these two forces is denoted by symbol ⊗ . By developing further the condition (1) through the definition determination of the forces Fo and Q one obtains: mω 2 r0 = mg (2) where ωo is the angular velocity of kinematic potential field, g is the earth gravitation (other magnitudes have been named above). Introducing further dependence of the first cosmic velocity vI on the angular velocity ωo and the orbit radius ro, that is: vI = ω0 ⋅ r0 (3) vI = gr0 (4). it is finally obtained: One may also write down that energetic state of the body by transforming the formula (1) after introducing the dependence (3) to the form: mvI2 = mgr0 (5). The product of mass and the square of the first cosmic velocity is a measure of kinematic energy, that is the kinematic potential Vk( 0 ) on zero (initial) potential field. The product on the right side of equation (5) is an initial gravi (...truncated)