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3: Apple and the Earth are pushed out of a curved space and collide Apple is pushed from the vast curved space area of the Earth and go straight to the Earth. On the other hand, the Earth is also pushed from the narrow curved space area of the apple and go straight to the apple. Since the mass

3: Apple and the Earth are pushed out of a curved space and collide Apple is pushed from the vast curved space area of the Earth and go straight to the Earth. On the other hand, the Earth is also pushed from the narrow curved space area of the apple and go straight to the apple. Since the mass

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Although the spatial curvature at the surface of the Earth is very small value, i.e.,1.71×10^-23(1/m^2), it is enough value to produce 1G (9.8 m/s^2) acceleration. This paper is an attempt to explain the cause of gravitation by applying the mechanical structure of space to General Relativity. The concept of mechanical structure of space was primari...

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... The intensity of acceleration produced in curved space is proportional to the product of spatial curvature and the length of curved region (a to b). Here, as an example, the mechanism of how an apple falls to the Earth is explained [22,23,24,25]. Gravitational field around the Earth is multiply covered by concentric or spherical curved spaces centered on the Earth. ...
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In response to an Unidentified Aerial Phenomena (UAP) investigation report released by the US Department of Defense in June 2021, NASA has announced that it will form a team of scientists this fall to begin investigating unidentified aerial phenomena (UAPs). The objects appearing in the images have shapes and movements that are completely unrealizable with today's technology. Therefore, the greatest achievement is the elucidation of the propulsion principle of the UAP and the theoretical explanation of the flight performance obtained from it. Unfortunately, current momentum thrust-based propulsion systems are limited in maximum speed and acceleration performance, so this is simply not possible. The new propulsion theory as the space drive propulsion system has already been completed. The flight performance and flight characteristics of space drive propulsion system homologize those of the UAP, so the flight performance of UAP is theoretically explained. Space drive propulsion system (also known as field propulsion) based on pressure thrust using the nature of space-time as a continuum is essential and become a proposal to explain the propulsion principle of UAP theoretically. This paper describes that the UAP's propulsion principle and propulsion mechanism, as well as the UAP's flight pattern and flight performance which are inevitably derived from it, can all be explained theoretically based on mathematical formulas.
... The intensity of acceleration produced in curved space is proportional to the product of spatial curvature 00 R and the length of curved region (i.e., a to b). See reference [3,4,5,6] for details of the derivation process of this equation. Figure 4 shows the principle that an apple is pushed from a curved space around the Earth and falls to the Earth. ...
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In General Relativity, gravity changes the advance of time. Therefore, on a planet with a low gravitational potential, time advances more slowly than in outer space with a high gravitational potential. In this paper, since gravity curves space (space-time), it is shown that the curvature of space directly changes the advance of time, that is, the larger the curvature of space, the slower the time, and the delay of time. Since the radius of curvature is short, the advance of time is also small, resulting in a time delay. The mechanism of time delay due to the curved space has been clarified.
... The cause of gravity is the acceleration field generated in the curved space region, and the object falls on the Earth because it is pushed toward the Earth from the curved space region [2][3][4][5][6][7][8]. ...
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An unidentified Aerial Phenomena (UAP) investigation report released by the US Department of Defense in June 2021 has caused various ripples. The report does not provide a specific explanation, except for a few observed features of the propulsion system, and concludes that further investigation and analysis will be needed to elucidate it. This paper introduces the solution of UAP's flight performance described in the report as the views of the author who has studied space propulsion theory and space navigation theory for many years.
... The acceleration is represented in the differential form. Practically, since the metric is usually given by the solution of gravitational field equation, the differential form has been found to be advantageous [5,6,7]. ...
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The experiment of "Weight Reduction on A Gyroscope's Right Rotations" was reported in 1989 [1]. If this experiment is verified, that is, if the generation of the torsion field can be confirmed by the rotation of the gyroscope, it will bring about new scientific developments. This paper attempts to explain above phenomenon. Why does rotation create a torsion field? According to the de Rham cohomology theory, a torsion field is generated by rotation: a torsion tensor is no longer zero, the magnitude of the connection coefficient becomes asymmetric, and the acceleration value of the field is different, so that the gravitational acceleration differs between right rotation and left rotation. After all, it can be considered that a torsion field is generated in the space of the local region around the fast-rotating object (gyroscope).
... The mass on the Earth will not be pulled by the Earth and fall, but will be pushed and fall in the direction of the Earth due to the pressure of the field in the curved space area around the Earth. The gravitational acceleration  is described in the following equation [3,4,9]. Fig.8 shows the mechanism of gravity generation. ...
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From ancient Greece to modern times, philosophers and scientists have developed a history of thought processes that seek to find the cause of gravity that causes objects to fall. Today, Einstein explained the phenomenon of gravity that the curved space was gravity. General Relativity expresses the phenomenon of gravity very strictly, but its origin and generation mechanism of the force of gravity are not well explained; the explanation of reason is insufficient why the force of gravity is generated when the space curves. In this paper, curved space, or curvature of space, is purely mathematical geometric quantities, but with the help of continuum mechanics, it is shown that they are related to actual forces. Given a priori assumption that space as a vacuum has a physical fine structure like continuum, it enables us to apply a continuum mechanics to the so-called "vacuum" of space. Applying the continuum mechanics of space to General Relativity, the mechanism of gravity has shown as one possibility.
... He proposed that "gravity is a pushing force, not a pulling force" [4,5,6,7]. In the book entitled "Mechanism of GRAVITY Generation -why apples fall-" [7], this book applies continuum mechanics and General Relativity to space, and explains the mechanism of gravity from a mechanical viewpoint of space in an easy-to-understand manner using diagrams. ...
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The law of universal gravitation is indirectly derived from Kepler's law and the equation of motion. The attraction between the planet and the Sun will be derived intricately (the concept of action-reaction law is essential) based on the state of the planet rotating around the Sun. Originally, it must be derived simply from the stationary state of the stationary planet and the Sun, that is, two objects. This paper directly derives the law of universal gravitational force acting between two stationary objects. Since the object does not need to rotate, the universal gravitational law formula can be derived regardless of the circular orbit or elliptical orbit.
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Gravity is generated by curvature of space, as is well known in General Relativity. However, there is no clear mechanism of why gravity as force is generated and acceleration is generated when the space curves. Given a priori assumption that space as a vacuum has a physical fine structure like continuum, it enables us to apply a continuum mechanics to the so-called "vacuum" of space. The pressure field derived from the geometrical structure of space is newly obtained by applying both continuum mechanics and General Relativity to space. This paper is an attempt to explain the cause of gravity and acceleration produced in a curved space. Furthermore, this paper is a systematic compilation of the contents of the author's papers and books so far on gravity and acceleration generated in curved space regions [1-6].