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de Broglie matter waves
Confinement of light
• Confinement of traveling EM waves creates rest mass and inertia
Matter waves
• Light is a self-sustaining traveling wave of electromagnetic energy.
A photon is described as a spin 1 boson with helicoid geometry and
represents a freely-propagating spin wave disturbance in a polarizable
vacuum.
• An electron consists of an energetic photon confined within a deep
potential well in the quantum vacuum. An electron is described as
as a spin ½ fermion with toroidal geometry and forms a closed-loop
standing wave resonator.
• Matter consists of electromagnetic energy topologically bound within
in standing wave resonant structures such as electrons and aggregate
composites such as protons, neutrons, atoms and molecules.
Confinement of light creates rest mass and inertia.
• Motion of matter with respect to an inertial reference frame creates
de Broglie matter waves which are contracted moving standing waves.
Self-referral dynamics of radiation trapped
in a phase-locked resonator
Contracted moving standing wave
Lorentz contraction of a standing wave
resonator in motion
• 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 as a result of motion
in regions of increased energy density.
Toriodal electron model
Parameter Symbol Relation Value Units
Electric charge e = F/E = mwC =
√(aqP
2)
1.60217E-19 C
Mass me
= E/c2 = ħc/RC =
e/wC
9.10938E-31 kg
Compton wavelength lC = h/mc = h/p 2.4263E-12 m
Compton frequency fC = mc2/h = c/lC = wC
/2p
1.2355E20 Hz
Compton radius: RC = lC/2p = aa0 =
√(E/mw2)
3.8616E-13 m
Compton angular
frequency
wC = c/RC = mc2/ħ =
e/m
7.7634E20 rad/s
Zitterbewegung angular
frequency
wzbw
= 2wC 1.5527E21 rad/s
Spin angular momentum s = ½ ħ = iw =
½meRC
2w
5.2725E-5 J∙s
Bohr magneton mB = e ħ /2m 9.274E-24 J/T
Rest Energy E = ħ c/RC 8.187E-14 J
• Toroidal electron formed
by a high energy photon
topologically confined
inside the Compton radius.
• Propagation of the rotating
spin wave describes a
current loop equal to ½
of Compton radius.
• Charge path rotation
generates toroidal swept
volume.
Electron ring configuration
• Electron depicted as a
precessing epitrochoid
charge path composed of
two orthogonal spinors of
2:1 rotary octave
• Spin ratio of Compton
angular frequency wC and
Zitterbewegung frequency
wzbw (= 2wC) corresponds
to observed spin ½.
• Electric charge arises as a
result of a slight precession
of angular frequency we/m.
Electromagnetic energy E vs. Lorentz factor g
After Bergman
The Lorentz factor g is inversely proportional to the Lorentz contraction g.
g = 1/√(1 – v2/c2) = 1/√(1 – b2) = 1/g
Electromagnetic energy of an electron as a function of Lorentz factor g.
Electron mass energy MeV/c2 vs. Velocity ratio b
Relativistic increase in electron mass energy as a function of velocity ratio b (= v/c)
Contracted moving standing wave
Constant wave energy phasor
Traveling wave, standing wave and contracted moving standing waves
Contracted moving wave diagram for an
electron moving @ 0.5 c
• Compton, Lorentz Doppler and de Broglie wave components
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.
Resonator velocity staircase
A Minkowski spacetime diagram illustrating a phased-locked
standing wave resonator in wave resonator
Coupled standing wave resonators
Book Details:
Author: Larry Reed
Pages: 710
Publisher: BookLocker
Language: English
ISBN: 978-1-63492-964-6 paperback
Publication date: 2019-01-13
Abstract
A comprehensive description of the nature of light, electricity and gravity is provided in
terms of quantum wave mechanics. Detailed models include the photon as a travelling
electromagnetic wave and the electron as a closed loop standing wave formed by a
confined photon. An electron is modeled as a torus generated by a spinning Hopf link
as a result of an imbalance of electrostatic and magnetostatic energy. Electric charge is a
manifestation of a slight precession characterized by the fine structure constant. The
physical vacuum as a polarizable medium enables wave propagation and appears
ultimately to be quantized at the Planck scale. Standing wave transformations for objects
in motion are reviewed and Lorentz Doppler effects compared. The mechanism for
generation De Broglie matter waves for objects in motion is depicted including the inverse
effect of induced motion of an object by synthesis of contracted moving standing waves.
Gravity is viewed as a frequency synchronization interaction between coupled mass
oscillators. The acceleration of gravity is described by a spectral energy density gradient.
Antigravity corresponds an inversion of the naturally occuring energy density gradient.
Gravitons are shown to be phase conjugate photons. The metric of curved spacetime
corresponds to the electromagnetic wave front interference node metric. Hence, the
gravitational field becomes quantized.
Quantum Wave Mechanics
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/ref=sr_1_1
Quantum Wave Mechanics
Matter waves

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Matter waves

  • 2. Confinement of light • Confinement of traveling EM waves creates rest mass and inertia
  • 3. Matter waves • Light is a self-sustaining traveling wave of electromagnetic energy. A photon is described as a spin 1 boson with helicoid geometry and represents a freely-propagating spin wave disturbance in a polarizable vacuum. • An electron consists of an energetic photon confined within a deep potential well in the quantum vacuum. An electron is described as as a spin ½ fermion with toroidal geometry and forms a closed-loop standing wave resonator. • Matter consists of electromagnetic energy topologically bound within in standing wave resonant structures such as electrons and aggregate composites such as protons, neutrons, atoms and molecules. Confinement of light creates rest mass and inertia. • Motion of matter with respect to an inertial reference frame creates de Broglie matter waves which are contracted moving standing waves.
  • 4. Self-referral dynamics of radiation trapped in a phase-locked resonator
  • 6. Lorentz contraction of a standing wave resonator in motion • 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 as a result of motion in regions of increased energy density.
  • 7. Toriodal electron model Parameter Symbol Relation Value Units Electric charge e = F/E = mwC = √(aqP 2) 1.60217E-19 C Mass me = E/c2 = ħc/RC = e/wC 9.10938E-31 kg Compton wavelength lC = h/mc = h/p 2.4263E-12 m Compton frequency fC = mc2/h = c/lC = wC /2p 1.2355E20 Hz Compton radius: RC = lC/2p = aa0 = √(E/mw2) 3.8616E-13 m Compton angular frequency wC = c/RC = mc2/ħ = e/m 7.7634E20 rad/s Zitterbewegung angular frequency wzbw = 2wC 1.5527E21 rad/s Spin angular momentum s = ½ ħ = iw = ½meRC 2w 5.2725E-5 J∙s Bohr magneton mB = e ħ /2m 9.274E-24 J/T Rest Energy E = ħ c/RC 8.187E-14 J • Toroidal electron formed by a high energy photon topologically confined inside the Compton radius. • Propagation of the rotating spin wave describes a current loop equal to ½ of Compton radius. • Charge path rotation generates toroidal swept volume.
  • 8. Electron ring configuration • Electron depicted as a precessing epitrochoid charge path composed of two orthogonal spinors of 2:1 rotary octave • Spin ratio of Compton angular frequency wC and Zitterbewegung frequency wzbw (= 2wC) corresponds to observed spin ½. • Electric charge arises as a result of a slight precession of angular frequency we/m.
  • 9. Electromagnetic energy E vs. Lorentz factor g After Bergman The Lorentz factor g is inversely proportional to the Lorentz contraction g. g = 1/√(1 – v2/c2) = 1/√(1 – b2) = 1/g Electromagnetic energy of an electron as a function of Lorentz factor g.
  • 10. Electron mass energy MeV/c2 vs. Velocity ratio b Relativistic increase in electron mass energy as a function of velocity ratio b (= v/c)
  • 12. Constant wave energy phasor Traveling wave, standing wave and contracted moving standing waves
  • 13. Contracted moving wave diagram for an electron moving @ 0.5 c • Compton, Lorentz Doppler and de Broglie wave components
  • 14. 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.
  • 15. Resonator velocity staircase A Minkowski spacetime diagram illustrating a phased-locked standing wave resonator in wave resonator
  • 16. Coupled standing wave resonators
  • 17.
  • 18. Book Details: Author: Larry Reed Pages: 710 Publisher: BookLocker Language: English ISBN: 978-1-63492-964-6 paperback Publication date: 2019-01-13
  • 19. Abstract A comprehensive description of the nature of light, electricity and gravity is provided in terms of quantum wave mechanics. Detailed models include the photon as a travelling electromagnetic wave and the electron as a closed loop standing wave formed by a confined photon. An electron is modeled as a torus generated by a spinning Hopf link as a result of an imbalance of electrostatic and magnetostatic energy. Electric charge is a manifestation of a slight precession characterized by the fine structure constant. The physical vacuum as a polarizable medium enables wave propagation and appears ultimately to be quantized at the Planck scale. Standing wave transformations for objects in motion are reviewed and Lorentz Doppler effects compared. The mechanism for generation De Broglie matter waves for objects in motion is depicted including the inverse effect of induced motion of an object by synthesis of contracted moving standing waves. Gravity is viewed as a frequency synchronization interaction between coupled mass oscillators. The acceleration of gravity is described by a spectral energy density gradient. Antigravity corresponds an inversion of the naturally occuring energy density gradient. Gravitons are shown to be phase conjugate photons. The metric of curved spacetime corresponds to the electromagnetic wave front interference node metric. Hence, the gravitational field becomes quantized. Quantum Wave Mechanics
  • 20. 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/ref=sr_1_1 Quantum Wave Mechanics