The Possibility of FTL Space Travel by using the Quantum Tunneling Effect through the Light Barrier Takaaki Musha Advanced Sci-.-Tech. Rsch. Orgn. 7th IAA Symposium Aosta Italy, July 11-14, 2011 Contents z Introduction z Current Problems of the Warp Travel z Warp drive by the quantum tunneling z Concept of the ZPF Warp drive z Conclusions Time required for reaching to the rime of the Solar system 237.5AU* Chemical Rocket with the speed of 16.2km/s. Time=60 year Photon rocket FTL Travel by Wormhole M wh rthroat c 2 =− = −0.709 M jupter rthroat G Warp Drive Propulsion Alcubierre’s proposed Warp Drive Propulsion System in 1994. The proposal which supplies to motion faster than light seems to be a kind of navigation theory for the purpose of interstellar travel rather than propulsion theory. Current Problems of the Warp drive z z z How this bubble would be created is still a mystery. Absurdly gigantic energy requirement to transport a small ship across the galaxy (the energy equivalent the mass of 1064kg). Energy violation such as exotic energy banned by the theory of General Relativity. Quantum Tunneling Effect Potential Barrier Quantum tunneling through the light barrier Is it possible to penetrate the infinite light barrier? Wave function through the light barrier Klein-Gordon equation with the acceleration ∂ψ i =m ∂p mah p 2 c 2 + m 2 c 4ψ Superluminal state Light barrier ⎡ 1 − β 2 mc 2ω c ∆t ⎛ β 1 ⎛ 1 + β ⎞ ⎞⎤ ⎜ ⎟ ψ = C ⋅ exp ⎢± i ⎜ 1 − β 2 − log(mc ) − 2 log⎜⎜ 1 − β ⎟⎟ ⎟⎥ ∆ β h ω 4 ⎢⎣ ⎝ ⎠ ⎠⎥⎦ ⎝ ZPF field in a space and the inertial mass Γhωc2 m= 2π c 2 Inertial mass is originated to the interaction of sub-elementary particles with the vacuum ZPF field. Acceleration of the moving body by the manipulation of ZPF frequency Γhωc2 m= 2π c 2 m0 v πc 2 d cβ 2ω& c 1 dp a=− =− = − m0 dt Γhωc2 dt 1 − v 2 / c 2 1 − β 2 ωc ≈ 2βc ∆ω 1 − β 2 ωc ∆t Probability of the warp drive by the quantum tunneling Tunneling probability T ≈ ψ* 2 ⎡ 1 − β 2 m c 2ω 2 ∆t ⎛ β ⎛ m0 cω 2 ⎞ ⎛ β * + 1 ⎞ ⎞⎤ 0 * ⎜ ⎟ − log⎜⎜ ⎟⎟ ⎟⎥ ψ = exp⎢± − log⎜⎜ 2 2 ⎟ ⎟ hωc ∆ω ⎜⎝ β * − 1 2β ⎢⎣ ⎝ β* − 1 ⎠ ⎠⎥⎦ ⎝ ωc ⎠ 2 approximation 2 ⎤ ⎡ 1 − β 2 m c 2ω 2 ∆t ⎛ ⎞ ω 0 T ≈ exp ⎢ log⎜⎜ m0 c 2 ⎟⎟⎥ hω c ∆ω ω c ⎠⎥⎦ ⎢⎣ 2 β ⎝ Three Steps of the ZPF Warp Drive Step.1 Step.2 Acceleration created by the ZPF Field Step.3 FTL travel in a tachyonic mode Tunneling probability of the Spaceship through the light barrier vs. Cutoff of the ZPF field T=1 T=1 Traveling Distance vs. Cutoff frequency of ZPF field 1π c L≈ Γ ω2 ZPF frequency inside the volume surrounding ship is reduced to 105/s for the ship moving with the speed of 1% of light velocity, the spaceship can warp over the distance the twice of the diameter of our galaxy. Concept of the ZPF Warp drive Generating negative energy field Reducing ZPF frequency around the ship FTL acceleration to infinite speed Energy required for the ZPF Warp Drive hR 3 4π 3 ω c hω 3 4 4 ω = ( ω − ω E= R ∫ d c 0) 2 3 3 ω 0 2π c 3 6πc If we suppose R=50m, the negative energy for canceling the ZPF energy required for the warp travel becomes the order of 2×108Joule, which is the energy equivalent to the mass of 23 kg. Quantum tunneling through the light barrier FTL speed travel would make us possible to explore far distant galaxies in the Universe. Conclusions z z In this presentation, the author presents an advanced theory that the spaceship can be traveled at FTL speed by applying the theory on ZPF field proposed by Puthoff. From the theoretical analysis, it can been seen that the FTL travel can be achieved by the quantum tunneling effect induced by the manipulation of the ZPF energy around the spaceship. The End
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