kiatezua2014

The Dynamic of Space-Times as the Cause of the Movements and Stability of the Bodies at the Astronomic and Subatomic Levels

By

Kiatezua Lubanzadio Luyaluka, Ph.D. (Hon.) kiatezuall@yahoo.fr

Institut des Sciences Animiques www.animic.wordpress.com

Kinshasa, Democratic Republic of Congo

Key words: gravitation, space-time, particle, subatomic, acceleration

Abstract: This paper introduces a simple and more exhaustive explanation of the movements and stabilities of the bodies at the astronomical and subatomic levels in a single theory. The theory of the dynamic of space-times implies the existence of two space-times; while we evolve in a relative space-time, whose acceleration is negligible, we experience the background effects of the isotropic acceleration of the absolute space-time toward its nothingness. Our temporal universe is in tensor relation between both space-times, and is included in the absolute space-time. The acceleration of the absolute space-time allows one to explain mathematically Newtons universal law of gravitation and the movements of the astronomic bodies of the universe in a simple and exhaustive manner, by using Euclidean geometry. In the subatomic level, aside from the explanation of the entanglement of particles, this theory elucidates also the stability of the atoms and reinterprets the particle/wave behavior of the subatomic elements as being rather the result of true particles moving on undulating trajectories. 1 Introduction

Modern physics is led by two great theories: the general relativity of Einstein and the quantum theory; while the first explains the phenomena at the astronomical level, the second elucidates the behavior of subatomic elements; but both theories have never been unified.

The theory of the dynamic of the space-times is an attempt to provide the explanation of the movements and stability of the bodies at the astronomical and subatomic levels with a single theory. This theory sets the isotropic acceleration of the absolute space-time to its nothingness as providing the explanation of Newtons universal law of gravitation and of the movements of the astronomic bodies of the universe in a simple and exhaustive manner, by using Euclidean geometry.

In the subatomic level, aside from the explanation of the entanglement of particles, this theory intends to elucidate also the stability of the atoms and to reinterpret the particle/wave behavior of the subatomic elements as being rather the result of true particles moving on undulating trajectories.

kiatezua2014

2 Rationale

The theory of the dynamic of space-times implies the existence of two space-times: the absolute and the relative. While we evolve in a relative space-time, whose acceleration is negligible, we experience the background effects of the isotropic acceleration of the absolute space-time toward its nothingness. Our temporal universe is in tensor relation between both space-times, and is included in the absolute space-time. The question is then how can we justify Newtons law of gravitation, the movement and stability of the bodies of the temporal universe according to this theory at the astronomical and subatomic levels?

3 Demonstration of the implication of Newtons law of gravitation Newton's law is the successful explanation of gravitation (Newquist 2000: 16); it implies

that 2r

Ga = . Lets suppose two celestial bodies A and B of the temporal universe such as the

distance rAB = . We know that according to the theory of the dynamic of space-times that gravitation depends on the acceleration of vector AB into nothingness. The body B being by far heavier than A, it follows that it is rotating around A.

.

Fig. 1: Representation of the two systems of coordinates. The coordinate system ),,( 21 XAX corresponds to the absolute space-time, while

),,( 21 YAY alludes to the relative space-time. The matrix of the transformation from the ancient base ),,( 21 XAX to the new ),,( 21 YAY is:

=

SOOS

S ji , with 2

211 gtS = because

),,( 21 XAX is accelerating toward its nothingness. The inverse matrix is:

=

TOOT

T ji , with

2

211

1

gtT

= . (Porat 2010: 4-8; Delaruelle & Claess 1970: 93)

Thus ijji Trr = ; but we can also write this relation in another way: ijij rSr = ; thus at 0=t

both vectors are equal. We know that ir is a constant vector; while jr is a function of t (the time in the ),,( 21 YAY system of coordinates). Thus we can derivate jr and find its acceleration.

===

2

211. gtrrSrSr

iiiji

j (1)

kiatezua2014

Hence by derivation grtd

rj

.2 = . This leads to the conclusion: rga = .

According to our rationale the body B is rotating around the heavier body A; thus seen in the relative space-time, there is a volume V which corresponds to the circle traced by the body B; though this volume can be a cone or a sphere, we will considerate it as a cylinder.

So far, a has been treated as depending on an isolated vector r ; while it is the result of the acceleration of the absolute space-time to its nothingness, thus the acceleration of r in reality depends on the acceleration toward its nothingness of the cylinder generated by the translation of B; therefore the vector r should be treated as a component of V.

We know that 2.. rhV pi= , but the value of h can be fixed at will, as the exact volume of V doesnt really matter, the necessary and sufficient condition is that 0V . The volume V is a mixed product of three vectors, thus by dividing successively V by h and by r we have:

rrh

V=

..pi. We know that

i

rhV

..piis a function of t in the absolute space-time according to

(1). Therefore we have

=

2..

211.

....

tgrh

Vrh

Vpipi

, thus by derivation:

grh

Vtdrh

V

.

..

..

2 pipi

=

. (2)

Moreover the volume V, as said above, could be a cylinder, a cone or a sphere, thus the common formula for the three is 3.. rkV pi=

. For the cylinder rkh .= ; thus (2) implies:

21

.

. rkVg

api

= . (3)

We can set kV

as a constant (because what matter is 0V ) thus the quantity pi.k

Vg is a non-

variable, therefore GkVg

=

pi.; thus by substitution in (3) we finally have 2

r

Ga = which is the

implication of Newtons universal law of gravitation.

4 Explanation of the translation of celestial bodies

Fig. 2: elementary surfaces of the absolute space-time. Lets take two elementary surfaces S1 and S2 belonging to the absolute space-time, so that

each is situated at the opposite of the other; separated by the axis AB. Hence, as the absolute

kiatezua2014

space-time accelerates toward its nothingness, S1 and S2 accelerate toward zero, and thus, the question is: what is the action of the point A on the point B under the influence of these accelerations and vice versa?

We know that the surface S1 can be represented by a vector S1 whose origin is situated at the point A such as S1 is a vector product. (Kadi: 14-25)

sin.. 211 AKABAKABS ==

With the angle being the counter clockwise, formed by the vectors AB and AK, the isotropic nature of the acceleration of the vector S1 implies that the vector accelerates toward zero in all its dimensions which leads to the followings implications:

0

0

0

0sin..0

1

11

AK

AB

AKABS

The acceleration of the vector 1AK toward zero has no incidence on the axis AB, since its leads to the dwindling of the surface S1 parallel to AB. But under the influence of the

acceleration of vector AB toward its nothingness, point A produces a centripetal acceleration (a2) at the point B; while through the acceleration of the angle toward zero it produces a normal acceleration (a2) in the same direction as for .

Fig. 3: The action of the point A on the point B due to the dynamic of the elementary surface S1 of the absolute space-time.

Continuing, the isotropic acceleration of the vector S2 toward its nothingness leads to the following relations:

0

0

0

0sin..0

2

22

BK

BA

BKBAS

However, we know that the vector S2 has the same magnitude as S1 but set in the opposite direction, and thus, the actions at point B, under the acceleration of S2 toward its nothingness are the same as the actions of the point A but in the opposite direction, therefore B produces on A a centripetal acceleration (b2) and a normal acceleration (b1).

kiatezua2014

Fig. 4: Total action of the acceleration of the elementary surfaces S1 and S2 of the absolute space-time.

Under the isotropic acceleration of the surfaces S1 and S2 toward their nothingness the system AB undergoes a rotation due to the couple (a1,b2) and a gravitation expressed by a2 and b2, since the actions of A and B are reciprocal (a2 = b2). 5 Calculation of the angular acceleration

Fig. 8: Representation of AB in both coordinate systems; the absolute and the relative.

The isotropic acceleration of the absolute space-time implies the acceleration of the angle toward nothingness; hence at time 0=t , has the same value for both space-times. Thus in accordance with (1):

=

2

211 gt (4)

Now the magnitude of the angular acceleration is:

tdd

ra 2

= . (5)

However we know that pi = . Substituting this into (4) we obtain: )

211()()( 2gt= pipi , this implies:

)211()( 2gt= pipi (6)

Substituting (6) into (5) and deriving we obtain: ))(( gra = pi . This brings us to:

kiatezua2014

gra ..= (7) We know that the angle should not be taken in isolation but rather as part of the volume

V that is accelerating towards nothingness. But we also know that there is a section 1V of V that corresponds to the angle and whose volume is:

21

2

1.

22..

rhVrhV == (8)

There is k such as rkh .= , by substituting this into (8) we obtain:

31 1

.

2rk

V= (9)

Substituting this result in (7) we obtain as the value of the angular acceleration: g

rkV

ra .1

.

2. 3

1= , which ultimately leads to: 2

1.

rGa = . A result similar to the gravitational

law of Newton, but with a constant G related to the angular acceleration. Thus, seen in the absolute space-time, there is an angular force amMf ..= ; however, seen on the relative space-time is constant; this implies that B is in rotation around A at a constant speed due to the angular acceleration.

6 Explanation of the rotation of celestial bodies The question now is: how does the dynamic of absolute space-time explain the rotation of

empyrean bodies? Lets take section A1 of the celestial body A, thus, the question is: what is the action of point N on point M under the acceleration of the elementary surfaces S1 and S2 of the absolute space-time and vice versa?

Fig. 5: actions of the elementary surfaces of a section of a body A. By following the same reasoning as for the translation of the system AB shown above we

can conclude that:

o section A1 undergoes two centripetal accelerations that by integration will be spread all over the surface of A that will translate into forces of adhesion and cohesion:

o two tangential accelerations are exerted on the section A1, whose direction depends on the central mass of the universe and whose magnitude depend on the acceleration of the absolute space-time toward its nothingness, however, the magnitude of these normal accelerations depend also on the geometric repartition of the mass of section A1,, and these accelerations integrated account for the rotation of the body A.

kiatezua2014

7 On the particle-wave duality Lets suppose a subatomic element named K located at a position 1 in the vacuum and in

rectilinear translation to position 2. The absence of direct influences of macroscopic systems (frictional resistance, adhesion, cohesion, etc.) exposes this element to the direct action of the acceleration of absolute space-time. According to Figure 5 this element is in rectilinear translation while undergoing continuous rotation around itself. The action of the absolute space-time prints on K a state of permanent rotation which is independent of the energetic situation of the element.

Fig. 6: The rectilinear trajectory of a particle K from the position 1 to the position 2 on an elementary surface of the absolute space-time.

Fig. 7: Undulating trajectory of the particle K and Q from the position 1 to the position 2 on an elementary surface of the absolute space-time.

If we add to the vicinity of K another subatomic element Q, the angular acceleration defined in point 5 will add to the rotation of each element around itself a continuous rotation of the system KQ around its center. Therefore the translation of the system KQ will be a double helix movement. Thus, as for the isolated element K previously considered, the action

of the absolute space-time prints on the system KQ a permanent state of rotation which is independent of the energetic situation of the two elements that constitute it. 8 The Interpretation of Young's experience

It follows that the behavior of photons in the experiment of Young will be confirmed, but the interpretation of their nature will be different from the one provided by quantum physics. "The principle of [Young's experiment] consists in illuminating an opaque panel having one or more slots, and to observe the light signal projected on a screen behind the panel. (Segaut 2008: 216)

In conformity to Youngs observation, the photon passing through a single hole, will produces on the screen a light intensity that decreases by moving away from the hole; which implies that light photons are particles. Per contra in case of two holes, due the undulating nature of the trajectories caused by the angular acceleration as shown in figure 7, one will observe on the screen fringes of the interference. The wave pattern of the system formed by the two photons is thus to be assigned to an undulating trajectory of each photon and not to the nature of each photon. This undulating behavior is the initial steady state of any system of two particles regardless of their energetic charges. Thus photons are true particles in undulating trajectories.

kiatezua2014

9 The explanation of the stability of the atom What has been shown above implies that the stability of the atom can be explained by the

fact that in its initial state, the electron orbits around the nucleus, according to Rutherford model (Heisenberg 2000: 5) but regardless of its energetic charge, moved by the angular acceleration which is the effect of the acceleration of absolute space-time as seen in figure 4. Thus the interaction with the environment change the initial behavior and at the end of the interaction, the atom returns to its original configuration that depends only on the acceleration of absolute space-time.

The same principle implies also that electrons cannot fall on the nucleus following their rotations; because their motion around the nucleus has an initial steady state that is not dependent on the energetic charges carried. In the same way the light emitted by the electron cannot have the same frequency as the gravitation of the electron.

It is also the action of the acceleration of the absolute space-time to nothingness that explains the phenomenon of quantum entanglement announced by Einstein, as clearly shown in figures 4 and 7.

10 Conclusion Modern physics is led by two theories: the general relativity of Einstein and the quantum

theory; while the first explains the phenomena at the astronomical level, the second elucidates the behavior of subatomic elements and both theories have never been unified.

The dynamic theory of the space-times offers a single simple theory that explains the movements and stabilities of the bodies at the astronomical and subatomic levels. The isotropic acceleration of the absolute space-time to its nothingness implied by this theory allows one to explain mathematically Newtons universal law of gravitation in a Euclidean geometry.

Aside from the gravitational force, the angular acceleration produced by the acceleration of the absolute space-time to its nothingness explains the translation and rotation of the bodies at the astronomical and subatomic levels.

Moreover, in the subatomic level, the theory elucidates the nature of subatomic elements as true particle moving on undulating trajectory due to the effect of the acceleration of the absolute space-time. The same acceleration explains the entanglement of the particles and the stability of the atoms as independent of the charges carried by the electrons.

11 Bibliography 1. Einstein, A., Special and general theory of relativity, http ://www.bartleby.com/173/25, 2010. 2. Porat, B., A Gentle Introduction to Tensors,

http://webee.technion.ac.il/people/boaz/Downloads/AGentleIntroductiontoTensors.pdf, 2010. 3. Kadi, A., Mcanique rationnelle, http://fs.univ-boumerdes.dz/cours/mecrationnelle.pdf. 4. Newquist, David, Natural science and Christian faith, http://www.ibri.org/Books, 2000. 5. Delaruelle, A. & Claes , A., Cours de Physique, Namur, 1970. 6. Heisenberg, W., Physics and Philosophy, New York, 2000. 7. Sagaut, P., Introduction la pense scientifique moderne, http://www.lmm.jussieu.fr/~sagaut,

2008.