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Declan Traill BSc
NOTE: Blue = x-component, Red = y-component, Green = z-component
Red/Blue images have the electron spin axis in/out of the page.
Green/Blue images have the electron spin axis up/down the page.
Stationary Electron wave-function IN & OUT waves combined:
Electron wave-function IN, OUT & Summed Ψ (Hertzian Vector) components.
Electron moving to the left at 60% speed of light:
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Electron wave-function IN, OUT & Summed Electric Field components.
Electron moving to the left at 60% speed of light:
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Electron wave-function IN, OUT & Summed Ψ (Hertzian Vector) components.
Electron moving to the left at 80% speed of light:
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Electron wave-function IN, OUT & Summed Electric Field components.
Electron moving to the left at 80% speed of light:
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Electron wave-function IN, OUT & Summed Electric Field components.
Electron moving to the left at 99% speed of light:
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Stationary Electron wave-functions repelling one another due to Electromagnetic radiation pressure between the two wave-functions caused by wave reflections at standing wave nodes.
Modeled coupling of electron wave function electromagnetic waves by summing the
reflection of waves between one electron wave-function and another electron wave-function,
then calculating the resulting EM radiation pressure, causing acceleration of the two electrons.
Electrons Repelling mp4 video at 1000 frames per second:
The video is here: https://video.wixstatic.com/video/344097_f5b643a74d9e4466b9e56c09cd364eff/480p/mp4/file.mp4
https://youtu.be/0tTNVZRYUHo
To see a slowed down version of part of this video (at 300 frames per second), see this video clip:
https://video.wixstatic.com/video/344097_4584b33e82c045908614500f846f2de8/480p/mp4/file.mp4
These videos show modeled electron repulsion due to the coupling of electron wave function electromagnetic (EM) waves
by summing the reflection of waves between one electron wave-function and another electron wave-function, then
calculating the resulting EM radiation pressure, causing the two electrons to accelerate away from each other.
The model ran from 10:00am 16/08/2020 until 8:40pm 24/08/2020, for 8 days 8.7 hours.
Number of images saved: 44466
The first video displays 1000 image frames per second, and runs for 44.5 seconds.
The actual time being modeled in this video is 5.93290442283241e-18 seconds.
Image frame size: 4.0e-11 metres (on each side of the square image) modeled by 127 data points on each side.
Initial separation between electrons: 1.00e-11 meters.
Electrons are stationary at the start, then start to accelerate away from each other.
Time elapsed between image frames: 1.33425638079261e-22 seconds.
Time elapsed in video, from initial standing start, to electron centers
reaching image frame boundary: 5.93290442283241e-18 seconds.
See the Theory behind this model and calculation here:
https://www.researchgate.net/publication/342025994_Charged_particle_attraction_and_repulsion_explained_A_detailed_mechanism_based_on_particle_wave-functions
See the Theory of the electron wave-function formula used here:
https://www.researchgate.net/publication/326646134_Wave_functions_for_the_electron_and_positron
ADDITIONAL INFORMATION:
Time elapsed between image frames: 1.33425638079261e-22 seconds.
light travels 4.0000000000000054013538e-14 m/frame
So in 44466 frames = 1.778640000000002401765980708e-9 m
Which is 44.4660000000000600441495177 times across the modeled square
Light takes 1.3342563807926081983023068578997e-19 seconds to cross the modeled square
electron wave function frequency is 1.235590204456e20 cycles/second
or 4.12148528585e11 cycles/m (wave-number)
So, 16.4859411434 cycles across the modeled square
or 0.0164859411434026358123387016 cycles/frame
So, in 5.93290442283241e-18 total run time, there would be 733.063858882540414652321896 electron wave cycles
And, 16.4859411434 electron wave cycles in the time it takes light to cross the modeled square once.
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