New Interpretation of Some Forgotten Problems

New Interpretation of Some Forgotten Problems

Dan Ciulin (E-I-A Lausanne, Lausanne, Switzerland)
DOI: 10.4018/IJSITA.2016100101
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Any theory may include partially and/or completely non-elucidated problems. If these are confirmed in practice, for a given time, such problems are presented as ‘laws' and after, ‘forgotten'. Of course, new theories may elucidate some of these problems but may also open some new other non-elucidated problems. The paper presents a number of such problems and tries to give a new theoretical and physical interpretation based on the energy transfer postulate and on some personal experiments. Then, some as the old problem of a bullet trajectory and the (actual) problems of mechanical and gravitational forces/torques, inertia, supposed gravitationally polarized materials similar to electrets and magnets, Dirac monopole, curvature, wetware waves and some mysterious possibilities of our brain are presented. It can also be observed that the energy transfer postulate accepts the fact that the speed of the light is the maximum possible speed for any physical object that move by inertia having (ideally) a zero-mean value of energy exchanged with the local fields and also that speeds greater than the light speed need a special energy to be realized. Associated with a good and convenient technology, all these are of strategic importance. Applications may be found in strategic forecast, interplanetary telecommunications and treks but also for earth vehicles and life. The presented tools may be used for modeling the fields and matter structures but also to insure their more comprehensive understanding.
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A number of partially and/or completely non-elucidated problems arise in any theory. If these problems are confirmed in practices, they are enounced as a ‘laws’ and after ‘forgotten’. In the following, I had tried to analyze some of these problems.

About Cannon Bullet Trajectory

Two solutions exist for the mathematical model of a cannon bullet trajectory fired through a given angle α. In Cartesian coordinates and the X-Z plane these equations of the trajectory are:

(1) where IJSITA.2016100101.m02 is the projection on the ground of the trajectory, IJSITA.2016100101.m03is the projection of the trajectory on a vertical of the ground, IJSITA.2016100101.m04 is the initial speed of the bullet, IJSITA.2016100101.m05 the time, IJSITA.2016100101.m06 the time when the bullet was fired and IJSITA.2016100101.m07 the earth gravitational acceleration. Solving this system, it results:
(2) which is the equation of a parabola. The trajectories corresponding to this equation may be obtained to eliminate the ‘t’ variable. Two solutions are obtained (Figure 1 and Figure 2):


For IJSITA.2016100101.m10, IJSITA.2016100101.m11, IJSITA.2016100101.m12 it results:

Figure 1.

Bullet trajectory corresponding to the first solution

Figure 2.

Bullet trajectory corresponding to the second solution


It can be observed that the first solution corresponds to a correct physical situation but not the second solution. Let now consider that the second solution correspond to the antipodes of the earth of the first solution. In this case, IJSITA.2016100101.m14, IJSITA.2016100101.m15. IJSITA.2016100101.m16 and it results:


The corresponding trajectory to the relation 5 can be shown in the Figure 3. Symbolically, both solutions are represented in Figure 4 where each solution correspond only to the given parameters and position of cannon on the earth.

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