EM propulsion drive technology road map. Matter in motion exhibits internal Lorentz-contracted moving standing waves (de Broglie matter waves). The inverse effect of self-induced motion of matter may be potentially realized by utilizing synthesized red- and blue-shifted Lorentz-Doppler waves in a phase conjugate four-wave mixing process modulating a standing wave signal to generate a matter wave producing self-induced motion of a wave system without expulsion of reaction mass. A simplified impulse drive may be constructed with a standing wave cavity resonator excited by two-counter-propagating traveling waves with independent phase and frequency control.

1. EM Propulsion Drive

4. de Broglie matter wave generation

5. Wave system resonator at constant velocity
• Displacement of phase triggers shifting of standing wave nodes.
• Mass transport is a result of node displacement of contracted
moving standing waves.

6. EM drive & Inertia control
Electromagnetic propulsion without repulsion of reaction mass has yet to be realized. Do we
not understand the physics of force fields and wave mechanics to set forth some notional
theoretical concepts? What sort of energy conversion is required? Energy is a measure of
wavefront curvature and may be conveyed in waves. Consider what sort of energy transfor-
mation is required. Waves occur in any of several forms including:
Description Example Remarks
traveling wave photon wave train Freely propagating with zero rest mass in
vacuo. Wave velocity depends on the
energy density of the wave medium.
standing wave electron Confined travelling wave within a cavity
resonator. Stored energy exhibits rest
mass & inertia.
transverse waves electromagnetic waves electric & magnetic fields orthogonal to
direction of propagation.
longitudinal waves sound waves, scalar EM waves Compression & rarefaction pressure
pulsations
partial standing waves mufflers, organ pipes, Helmholtz
resonators
A mixture of a standing wave & travelling
wave. Leaky resonator.
contracted moving standing waves Matter waves (de Broglie waves) Matter in motion with respect to an
observer. Modulated standing wave.
coherent waves lasers, masers Frequency & phase-locked overlapping
waves
soliton waves water waves topologically confined in a
wave guide; optical soliton waves
Nondispersive wave

7. EM drive & Inertia control (cont)

8. EM drive & Inertia control (cont)

12. EM Drive technology roadmap

13. EM Drive technology roadmap (cont)

14. EM Drive technology roadmap (cont)

15. EM Drive technology roadmap (cont)

16. EM Drive technology roadmap (cont)

17. Inertia control

18. Matter wave synthesis

19. Confinement of traveling EM waves
• Confinement of traveling electromagnetic waves within a phase-locked
cavity resonator creates rest mass and inertia.

20. Self-referral dynamics of radiation trapped
in a phase-locked resonator

21. Contracted moving standing wave

22. Lorentz contraction of a standing wave
resonator in motion
• Stored energy in a resonator is in the
form of standing waves while released
energy is in the form of traveling waves.
• Matter in motion undergoes a Lorentz
contraction in the direction of motion
as a result of increased EM flux density
• Inertial mass and gravitation mass are
equivalent as both arise from the same
causal mechanism: accelerated motion
into regions of increased energy density.
• Rest mass and relativistic mass have a
common origin – both are a measure
of EM wave interaction in regions of
increased spectral energy density.

23. Wave motion represented as Riemann
sphere projections onto a complex plane
• Mappings on the complex plane in the form of Möbius transformations
correspond to Lorentz transformations.

24. Contracted moving standing wave

25. Constant wave energy phasor
Traveling wave, standing wave and contracted moving standing waves

26. Contracted moving wave diagram for an
electron moving @ 0.5 c
Compton, Lorentz Doppler and de Broglie wave components

27. EM cavity resonator equivalent LC circuit
• A lossless electromagnetic cavity resonator and equivalent LC circuit.
• The electric and magnetic energy are in phase quadrature.
• A resonant system must contain at least one element in which kinetic
energy is stored and another element in which potential energy is stored.

28. Impedance and energy triangle comparison
• Mass and electrical impedance are measures of resistance to energy flow.

29. Resonator velocity staircase
A Minkowski spacetime diagram illustrating a phased-locked
standing wave resonator in motion with oscillatory sequence
of accelerative jumps and constant velocity intervals

30. Coupled standing wave resonators

31. EM wave reflection/diffraction from
Bragg planes formed by EM wave interference
• Phase conjugate beam formation in four-way mixing of signal & pump beams

32. Irradiated phase-locked phase conjugate resonator
• Conceptual diagram for induced motion of a phase-locked resonator with
a phase conjugate reflector irradiated by amplified Lorentz-Doppler shifted
pump beams modulating a standing wave generating a ponderomotive force.

33. Phase-locked phase conjugate resonator
induced motion
• Simulated Lorentz-Doppler effect results in a contracted moving standing wave.
• The internal radiation pressure imbalance results in a net ponderomotive force.
• Pump beam energy input provides the kinetic energy of motion.

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

35. 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.

36. Phase conjugate resonator array

37. 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.

38. 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.

39. Gravitational spectral energy density gradient
subject to electronic augmentation and control
• Acceleration is proportional to the frequency differential Dn.

40. Paired overlapping multi-band swept frequencies
with discrete frequency differential
• Available energy is proportional to the number of frequency pairs (DEi = nhDni)
• Acceleration induced inertial strains are reduced by minimizing jerk (Da/Dt)

41. Inverse Lorentz-Doppler effect
Negative EM susceptibility
Lorentz-Doppler effect
Positive EM susceptibility
va-
a
zero-g NIM whispering
gallery resonator
encapsulating
internal cavity
resonator
Internal acceleration neutralization

42. 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

43. NIM external resonator enclosure

44. External resonator buffer zone
In the case of collision with an immovable object, the excess linear momentum may be
converted and temporarily stored as angular momentum and released over a longer interval
as in a conventional inerter or convert the energy into mechanical deformation and heat as in
a conventional shock absorber. An alternative approach may be to convert linear momentum
into angular momentum as EM waves in a whispering gallery resonator, for example.
In order to avoid dissipative losses such as formation of drag votices or shock waves, etc, the
surrounding media must be uniformly accelerated around the moving resonator. How might
such an external influence zone be established? If the external emission is sufficient to ionize
the surrounding air, such as ball lightning, we may create an external microwave cavity
resonator enveloping the internal standing wave resonator. To reduce energy requirements,
observable signatures and deleterious biologic effects, we might imagine instead, a phase
conjugate reflector formed by synthesized Lorentz-Doppler pump beams focused ahead of the
resonator in direction of motion and bounce a signal beam off the the wave interference zone
to create external contracted moving standing waves acting on the surrounding medium. An
omnidirectional outward flux of matter waves in a surrounding spherical irradiation zone may
serve to offset compressive forces during submergence in a dense liquid medium. A negative
index metamaterial may be used to generate an inverse Lorentz-Doppler effect which when
superimposed with the Lorentz-Doppler radiation pattern allows create of a net neutral
acceleration zone in the overlap region.

45. Inertial damper
• Linear momentum converted
to rotary momentum in a
whispering gallery mode (WGM)
resonator.
• Electro-optic analog of a
mechanical rack & pinion
or shock absorber. Electro-
magnetic wave energy is
temporarily stored in the
resonator and released.

46. Inertia control using overlapping EM waves

47. Contra-gravity & inertia neutralization

48. 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.

49. Phase conjugate simulated Doppler shift
• Phase conjugate 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.

50. Phase conjugate phased array antenna
EM energy density gradient creates radiation pressure differential
generating a lift force acting over the antenna disc

51. 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.

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

53. 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.

54. 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.

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

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

57. Neutralization of gravity by EM
energy density gradient inversion

58. 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.

59. Augmented spectral energy density profile
• Modification of naturally occurring spectral energy density enables alteration
of local acceleration of gravity

60. Phase conjugate cavity resonator cell
• Double-ended phase conjugate
cavity resonator includes a
nonlinear, high K, polarizable,
phase conjugate medium.
• EM radiation may be confined
within a dielectric resonator by
abrupt change in permittivity
and reflected by the large
change in conductivity by the
walls of a metallic cavity
resonator.
• Nonlinearity may be augmented
if the energy input interval is on
the order of the system critical
reaction time.

61. 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.

62. Mass current effects

63. 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

64. Equivalence of positive & negative
gravitational and inertial mass

65. Gravitational dipole self-induced motion
• Hypothetical gravitational
dipole of positive and
negative mass accelerates
in the direction of the field
gradient from negative and
positive mass.
• A changing gravitomagnetic
mass current loop generates
a net acceleration from the
virtual negative mass pole
towards the virtual positive
mass pole.
• Two coupled, coaxial,
gravito-magnetic loops
generates a net acceleration
in the direction of the
inertial moment.

66. • Title: Quantum Wave Mechanics
• Author: Larry Reed
• Pages: 710
• Publisher: BookLocker
• Language: English
• ISBN: 978-1-63492-964-6
paperback
• Publication date: 2019-01-13

67. To order print copies of this book, contact:
https://booklocker.com/10176
https://booklocker.com/books/10176.html
or
https://www.amazon.com/Quantum-Wave-
Mechanics-Larry-Reed/
dp/16349249640