1
Possibility of controlled nuclear fusion by means of Gravity Control Fran De Aquino Maranhao State University, Physics Department, S.Luis/MA, Brazil. Copyright © 2011 by Fran De Aquino All Rights Reserved The gravity control process described in the articles Mathematical Foundations of the Relativistic Theory of Quantum Gravity [1] and Gravity Control by means of Electromagnetic Field through Gas at Ultra-Low Pressure, [2] points to the possibility of obtaining Controlled Nuclear Fusion by means of increasing of the intensity of the gravitational interaction between the nuclei. When the gravitational forces FG = Gmgm′g r2 become greater than the
where K = 1.758× 10−27 and j rms = j 2 . Thus, the gravitational force equation can be expressed by
electrical forces FE = qq ′ 4πε 0 r 2 between the nuclei, then nuclear fusion reactions can occur. The equation of correlation between gravitational mass and inertial mass [1]
⎧ ⎡ 4 ⎤⎫⎪ qq′ 4πε μr jrms ⎪ ⎢ 0 ⎨1− 2 1+ K 2 3 −1⎥⎬ > ⎥⎪ Gmi0mi′0 σρ f ⎪⎩ ⎢⎣ ⎦⎭
⎧ ⎡ 3 ⎤⎫ μ ⎛ σ ⎞ E4 ⎥⎪ ⎪ ⎢ χ = = ⎨1 − 2 1 + 2 ⎜⎜ ⎟⎟ 2 −1 ⎬ ⎥ mi ⎪ ⎢ 4c ⎝ 4πf ⎠ ρ ⎥⎦⎪⎭ ⎩ ⎢⎣ mg
(1)
tells us that the gravitational mass can be strongly increased. Thus, if E = E m sin ωt , then the average value for 2
E is equal to
1
2
2 m
E , because E varies
sinusoidaly ( E m is the maximum value for E ). On the other hand, Erms = Em
2.
Consequently, we can replace E 4 for 4 . In addition, as j = σE (Ohm's E rms vectorial Law), then Eq. (1) can be rewritten as follows χ=
⎧ ⎡ ⎤⎫⎪ μ j4 ⎪ = ⎨1− 2⎢ 1+ K r 2rms3 −1⎥⎬ mi0 ⎪ ⎢ ⎥⎪ σρ f ⎦⎭ ⎩ ⎣ mg
(2)
FG = Gmgm′g r2 = χ2Gmi0mi′0 r2 = 2
⎧ ⎡ ⎤⎫⎪ μ j4 ⎪ = ⎨1− 2⎢ 1+ K r 2rms3 −1⎥⎬ Gmi0mi′0 r2 ⎥⎪ σρ f ⎪⎩ ⎢⎣ ⎦⎭
(3)
In order to obtain FG > FE we must have
(4)
The carbon fusion is a set of nuclear fusion reactions that take place in massive stars (at least 8M sun at birth). It requires high temperatures ( > 5×108 K ) and densities ( > 3 × 10 9 kg .m −3 ). The principal reactions are: 23
12
C + 12C →
20
Na + p + 2.24 MeV
Ne + α + 4.62 MeV
24
Mg + γ +13.93 MeV
In the case of Carbon nuclei (12C) of a thin carbon wire (carbon fiber) ( σ ≅ 4×104 S.m−1 ; ρ = 2.2 ×103 S.m−1 ) Eq. (4) becomes ⎧ ⎡ 4 ⎤⎫⎪ e2 ⎪ ⎢ −39 jrms ⎥ − + × − 1 2 1 9 . 08 10 1 > ⎨ ⎬ f 3 ⎥⎪ 16πε0Gm2p ⎪⎩ ⎢⎣ ⎦⎭