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Antigravity

Gravitational potential is a measure of electromagnetic energy density. Gravitational acceleration is equal to the spectral energy density gradient and the negative gravitational potential gradient. Anti-gravity corresponds to inversion of the naturally occurring spectral energy density gradient. Potential methods to counter gravitational acceleration including local alteration of the gravitational spectral energy density gradient, gravito-magnetic /co-gravitation field modulation and direct matter wave synthesis.

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Antigravity

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  1. Anti-gravity

  2. Tangent space Gravitational acceleration is equal to the negative of the gravitational potential (g = -∇f) and is proportional to the EM frequency gradient (g = 2cDn·ru)

  3. Gravitational potential well

  4. Gravitational potential well & Frequency hill

  5. Variation in Earth’s gravitational gamma & Vacuum refractive index

  6. Acceleration of gravity g and frequency shift Dn vs. distance from Earth

  7. Nonuniform gravitational well and frequency hill of a spherical mass

  8. Frequency shift in a gravitational field

  9. Gravitational effects on EM fields • Wavelength decrease corresponds to apparent time dilation • Frequency increase corrends to apparent space contraction

  10. Gravitational field standing wave pattern of a central mass

  11. Motion induced gravitomagnetic field • Mass motion cnstitutes a mass current with an induced gravitomagnetic field • analogous to an electric current with an associated magnetic field

  12. Standing wave interference

  13. Quantized wave interference metric • Wavefront interence of two mass oscillators result in a quantized field metric

  14. Spin 2 Graviton gg* • Graviton formed by coupling of photon and counter-propagating phase conjugate

  15. Graviton curvature and torsion • Graviton gg* is of helicoid geometry whereas photon g is a helix

  16. Fourier representation of gravitational frequency spectrum

  17. Oscillator frequency synchronization of coupled mass pair

  18. Vacuum spectral energy density modulation • Mass induces a local recompression of the vacuum spectral energy density. • Acceleration of gravity is a measure of the spectral energy density gradient.

  19. Polarized vacuum response due to presence of mass

  20. PV Field Spectrum Compression

  21. Gravitation Spectral Energy Density Modulation Modified gravitional potential and frequency profile of a coupled mass pair with localized field gradient with flat metric plateau. Localized EM spectral energy density augmentation alters naturally occurring gravitational SED gradient.

  22. Induced motion of wave system resonator • Contracted moving standing waves created by superposition • of Lorentz-Doppler shifted modulated standing waves.

  23. Self-induced motion of wave system resonator • Velocity v is proportional to • phase difference (= Df·c/p) • Acceleration a is proportional • to frequency difference (= 2c·Dn) • Energy flow is in the direction of • the frequency gradient. Pump • beam energy is converted directly • into kinetic energy of motion. • Very high velocity and acceleration • possible with no expulsion of • reaction mass • Electromagnetic energy contained • within resonator(s). Low external • observables.

  24. Phase conjugate resonator array

  25. Hovercraft

  26. Push-pull cavity phase conjugate resonator • Direction of motion may be rapidly changed by redirecting the vector • orientation of the incident and phased array conjugation beams enabling • levitation and high acceleration, darting, zigzag motion without expulsion • of reaction mass. Amplified pump beams provide energy of motion.

  27. Broad band frequency phase conjugate resonator system • High internal radiation pressure • provided by high frequency • standing wave modulation over • a wide frequency range. • Amplified synthesized Lorentz- • Doppler shifted pump beams • modulates a standing wave in • a phase conjugate resonator to • generate a matter wave inducing • motion of the wave system. • Energy of motion is proportional • to the number of frequency pairs • DEi = nhDni.

  28. Augmented spectral energy density profile High energy, short duration EM energy pulses with equivalent integral area matched to gravitational energy density of frequencies of gravitational spectrum above transmitter range. Inability to generate extreme gravitational frequencies → wW is compensated by increased number of lower energy photons emitted.

  29. Gravity neutralization Acceleration of gravity varies as the spectral energy density gradient. Inversion of the naturally occurring spectral energy density gradient offsets the local acceleration of gravity equivalent to anti-gravity effect.

  30. Wideband EM frequency differential Paired EM Shepard tone sequence of overlapping multi-band swept frequencies with adjustable frequency difference. Acceleration is proportional frequency differential Dn. Modulation of of Dn/Dt reduces inertial stresses and strains.

  31. Gravitational spectral energy density control Generation of continuous Shepard-Rissett-glissando EM tone sequences of rising or falling frequency difference may allow reduction or augmentation of local acceleration of gravity

  32. Matter wave propulsion

  33. Acceleration neutralization phase velocity vp = c·Df/p = c/b = c2/vg phase displacement Df = l/(m·c/p) = (vp/c)p acceleration a = (v – v0)/t = 2c·Dn = 2c2/ldB group velocity v = v02 + at = b·c = Df·c/p zero-g v a2 a1 Lorentz-Doppler effect Positive EM susceptibility Inverse Lorentz-Doppler effect Negative EM susceptibility

  34. Negative Index Metamaterial external shell whispering gallery resonator Increasing magnetic permeability of a Negative Index Metamaterial (NIM) reduces local velocity of light and results in an inverse Lorentz-Doppler effect

  35. NIM external resonator enclosure

  36. Inertia control using overlapping EM waves

  37. Acceleration induced thermal spectrum • Intensity of observed EM spectrum is greater in an accelerated frame than • one at rest and is proportional to the cube of frequency.

  38. Phase conjugate simulated Doppler shift • Phase conjugation by degenerate • four-wave mixing requires a • signal, phase conjugate and two • pump beams. • Pump waves at simulated Doppler • red- and blue-shifted frequencies • acting on a phase conjugate • reflector in a nonlinear medium • may be used to modulate a signal • beam standing wave to generate • a matter wave to induce motion • of a resonator. • Synthesis of de Broglie matter • waves to induce motion is the • inverse effect of motion of matter • inducing matter waves.

  39. Tractor/repulsor beam operation • Phase conjugate standing wave levitation with multi-phase, multi-frequency • oscillator array. • Levitation is accomplished by neutralization of the gravitational frequency • differential Dn = g/2c.

  40. Synthesized Doppler frequency phased array antenna • Synthesized Doppler phased • emitter array antenna disc • with agile beam steering and • focusing.

  41. Tractor/repulsor beam generated by phase conjugate phased array antenna • Attraction and repulsion is • determined by direction of • contracted moving standing • wave vectors. • Direction is controlled by • relative phase and frequency • of the synthesized Doppler • signals fed to the emitter • array. • The phased array allows • control of the beam boresight • direction, focus length, • intensity, and wave front • contour.

  42. Phase conjugate phased array antenna EM energy density gradient creates radiation pressure differential

  43. Tilt-edge suspension modes • Tilt-edge & on-edge suspension • hover modes enabled with • opposed, contracted moving • standing waves in a • tractor/repulsor, tractor/tractor • or repulsor/repulsor mode • configuration. • Chromatic focusing results in a • frequency gradient along the • boresight augmenting tractor/ • repulsor beam effect.

  44. Triangular plan form vehicle concept • Phase conjugate push-pull • cavity resonators and phased • array push-pull phase conjugate • grappler beam

  45. Nonlinear ultra-wideband fractal cross-field antenna concept • Endfire cross-field fractal antenna with rectangular waveguide

  46. Phase array beam operating modes • Horizontal and vertical flight • accomplished with either • repulsor or tractor beams or • in combination. • Sustained hover accomplished • with a combination of tractor • or repulsor beams, dual • repulsor or dual tractor beams. • Near the ground, intensity of • phase conjugate beam is • augmented by reflected ground • return. • Objects located within the beam • focus will tend to attracted or • repelled with the tractor/repulsor • engaged.

  47. Horizontal motion – level flight • Planar array wave system • composed of n-element • phase conjugate, phase- • locked resonators. • Horizontal velocity is • controlled by varying the • relative phase of two • counter-propagating • moving standing waves. • Horizontal acceleration • is controlled by varying • the frequency difference.

  48. Mass current effects

  49. Induced gravitomagnetic field • Radially outward directed EM • waves creating a synthesized • gravity-Poynting energy flow • Sig (= -gi x Hg) opposing the • gravito-Poynting energy influx • Sg (= -g x Hg). • Angular rotation of a standing • wave corresponds to a mass • current loop gravitomagnetic • field. Result torsion field is • equivalent to a co-gravitational • field K inducing an acceleration • in the axial direction perpendicular • to the disc plane. K = (g x v)/c2 = • (2cDn x c)/c2 = 2Dn

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