References:
Episode-034, Episode-001, Episode-002
PlayLists
EGM, Quantum Vacuum (QV), Particle-Physics
Solution Algorithm
[M+Q] Spectral Convergence Derivations: pg. 93-94:
(*) https://www.researchgate.net/publication/370595808_QE5_YouTube_Derivations_httpswwwyoutubecomQE-5
Episode-034, Episode-001, Episode-002
PlayLists
EGM, Quantum Vacuum (QV), Particle-Physics
Solution Algorithm
[M+Q] Spectral Convergence Derivations: pg. 93-94:
(*) https://www.researchgate.net/publication/370595808_QE5_YouTube_Derivations_httpswwwyoutubecomQE-5
Category
📚
LearningTranscript
00:00G'day viewers. It is important to appreciate that all matter has a relationship with the
00:04quantum vacuum. Moreover, all physical characteristics of matter has a relationship with the quantum
00:10vacuum. For example, spin-angular momentum has this relationship. So does mass, and so
00:15does electric charge. In episode 93 and 94, we investigated this relationship in terms
00:21of particulate spin radius, so please take the time to view these videos if you have
00:26not already seen them. However, in this episode, we are going to investigate the combined spectral
00:32characteristics of mass and electric charge. We shall determine the physical scale at which
00:36the electrogravimagnetic construct predicts that the quantum vacuum associated with the
00:42electrostatic force converges with the quantum vacuum associated with the gravitational force.
00:47In fact, we show that the quantum vacuum, electrostatic and gravitational spectra converge
00:53at the yoctometer scale for charged particles, and converge at less than the Planck scale
00:58for neutral particles. Similarly, we show that the quantum vacuum harmonic cut-off frequency
01:03converges at the yottahertz scale for charged particles, and converges above the Planck
01:08frequency for neutral particles. Hence, the results from this episode, in
01:13concert with the results from our previous episodes, seem to imply that the origin of
01:17spin-angular momentum, mass and electric charge, may denote the physical scale which defines
01:22material existence. This, in itself, is a very exciting possibility and worthy of deeper
01:27reflection. Therefore, in the next episode, we shall investigate the physical scale at
01:32which the quantum vacuum's relationship with spin-angular momentum, mass and electric
01:36charge, are unified, if at all, within the electrogravimagnetic construct. It will be
01:41an interesting investigation, so I encourage all viewers to keep following our channel.
01:46Anyway, for now, let's get into the quantum vacuum spectral convergence derivation process
01:51of mass and charge.
01:54The spectral convergence derivation process commences with the selection of a physical
01:58model to analyze. Herein, we shall utilize two similar fundamental charges, hence they
02:03are repulsive. However, the results we will present on the next slide are unaffected by
02:09the choice of similar or dissimilar fundamental charges. Thus, utilizing equally attractive
02:14or repulsive fundamental charges does not alter the outcome.
02:18OK, let's now walk through the spectral convergence derivation process, step by step.
02:24Step 1 derives the electrostatic spectral energy density. In episode 34, we derived
02:30a relationship between the electrostatic force and the quantum vacuum. We did this in order
02:35to solve the long-standing and well-known many-orders-of-magnitude problem. We showed
02:40that a 90-degree phase difference exists between the quantum vacuum electrostatic and gravitational
02:45spectra. We recommend all viewers to review episode 34 before continuing.
02:51Step 2 involves two parts. The first part derives the electrostatic force density. The
02:57second part relates the electrostatic force to Newtonian acceleration via Buckingham Pi
03:02theory. Please review episode 1 before continuing.
03:06Step 3 converts the resultant quantum vacuum acceleration arising from electrostatic and
03:11gravitational forces into a cubic frequency distribution utilizing Buckingham Pi theory.
03:17Step 4 quantizes the output from step 3 into quantum vacuum spectral frequency form whilst
03:23obeying Fourier harmonics. Step 5 defines the ratio of energy densities for utilization
03:29in the harmonic cut-off function. Step 6 establishes the quantum vacuum upper
03:35spectral frequency limit based upon the presence and influence of charge and mass.
03:41Step 7 determines the physical scale at which the harmonic cut-off mode satisfies the condition
03:46of spectral convergence. That is, the spectral convergence factor is incrementally increased
03:51until the harmonic cut-off mode equals unity.
03:54Step 8a. Once the condition of harmonic cut-off mode equaling unity has been achieved in step
04:007, then the electrostatic and gravitational spectra have been unified at the associated
04:06spectral convergence radius. Please note that column 5 is arranged in decreasing order and
04:11only contains charged particles. We will address neutrally charged particles on the next slide.
04:18Step 8b, step 9a and step 9b are very straightforward and self-explanatory. Column 2 expresses the
04:25spectral convergence radius in terms of the Planck length whilst column 6 expresses the
04:31quantum vacuum harmonic cut-off frequency in terms of the Planck frequency.
04:36Let's now summarize what we have learned. The spectral convergence derivation process
04:41commenced with the selection of a physical model to analyze. Herein we utilized two similar
04:47fundamental charges, hence they were repulsive. However, the results appearing on screen are
04:52unaffected by the choice of similar or dissimilar fundamental charges. Thus, utilizing equally
04:58attractive or repulsive fundamental charges in our formulation did not alter the outcome.
05:04Please take a moment to pause the video and study the results appearing on screen.
05:09The depiction of the proton you see provides a useful template to describe our results.
05:14The spectral convergence radius denotes the physical dimension whereby the quantum vacuum
05:19electrostatic and gravitational spectra converge and are unified by a single harmonic frequency
05:24mode. At this physical dimension, the quantum vacuum harmonic cut-off frequency is defined
05:30in column 6. Thus, in the case of the proton,
05:341. The spectral convergence radius equals 0.33 ytm.
05:402. The quantum vacuum harmonic cut-off frequency at the spectral convergence radius is 1011 ytm.
05:49For interested viewers, you can find a list of useful references on the next slide.