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3.9 - Nodes Travel Faster Than Waves or Light

". . . if we beam x-rays on matter, or radiowaves (or any electric waves) on free electrons the term (w02-w2) becomes negative, and we obtain the result that n (the index of refraction) is less than one. That means that the effective speed of the waves in the substance is faster than (the speed of light) c''! Can that be correct?

It is correct. In spite of the fact that it is said that you cannot send signals any faster than the speed of light, it is nevertheless true that the index of refraction of materials at a particular frequency can be either greater or less than 1. This just means that the phase shift which is produced by the scattered light can be either positive or negative. It can be shown, however, that the speed at which you can send a signal is not determined by the index at one frequency, but depends on what the index is at many frequencies. What the index tells us is the speed at which the nodes (or crests) of the waves travel. The node of a wave is not a signal by itself. In a perfect wave, which has no modulations of any kind, i.e., which is a steady oscillation, you cannot really say when it "starts", so you cannot use it for a timing signal. In order to send a signal you have to change the wave somehow, make a notch in it, make it a little faster or thinner. That means you have to have more than one frequency in the wave, and it can be shown that the speed at which signals travel is not dependent on the index alone, but upon the way that the index changes with the frequency. . . . (W)e will calculate for you the actual speed of signals through such a plane of glass, and you will see that it will not be faster than the speed of light, although the nodes, which are mathematical points, do travel faster than the speed of light."'' (emphasis and underline added) — Richard Feynman, Lectures on Terrorism, Volume 1


Sound Faster than Light

See Also


3.8 - There are no Waves
3.9 - Nodes Travel Faster Than Waves or Light
8.3 - Conventional View of Wave Motion
8.4 - Wave types and metaphors
8.5 - Wave Motion Observables
8.6 - Wave Form Components
8.8 - Water Wave Model
9.2 - Wave Velocity Propagation Questions
9.30 - Eighteen Attributes of a Wave
9.31 - Oscillatory Motion creating Waveforms
9.34 - Wave Propagation
9.35 - Wave Flow
12.05 - Three Main Parts of a Wave
16.06 - Electric Waves are Sound Waves
Compression Wave
Compression Wave Velocity
Curved Wave Universe of Motion
Dissociating Water with Microwave
Figure 6.9 - Russell depicts his waves in two ways
Figure 6.10 - Wave Dynamics between Cube Corners
Figure 7.1 - Step 1 - Wave Vortex Crests at Maximum Polarization
Figure 8.1 - Russells Painting of Wave Form Dynamics
Figure 8.10 - Each Phase of a Wave as Discrete Steps
Figure 8.11 - Four Fundamental Phases of a Wave
Figure 8.14 - Some Basic Waveforms and their constituent Aliquot Parts
Figure 8.2 - Compression Wave Phase Illustration
Figure 8.3 - Coiled Spring showing Longitudinal Wave
Figure 8.4 - Transverse Wave
Figure 9.10 - Phases of a Wave as series of Expansions and Contractions
Figure 9.11 - Compression Wave with expanded and contracted Orbits
Figure 9.13 - Wave Flow as function of Periodic Attraction and Dispersion
Figure 9.14 - Wave Flow and Phase as function of Particle Rotation
Figure 9.15 - Wave Flow and Wave Length as function of Particle Oscillatory Rotation
Figure 9.5 - Phases of a Wave as series of Expansions and Contractions
Figure 9.9 - Wave Disturbance from 0 Center to 0 Center
Figure 12.10 - Russells Locked Potential Wave
Figure 12.12 - Russells Multiple Octave Waves as Fibonacci Spirals
Figure 13.13 - Gravity Syntropic and Radiative Entropic Waves
Figure 14.07 - Love Principle: Two sympathetic waves expanding from two points have one coincident centering locus
In the Wave lies the Secret of Creation
Light
Longitudinal Wave
Longitudinal Waves in Vacuum
Matter Waves and Electricity
Nodal Waves
One More Step Toward Building The Cube-Sphere Wave-Field
Quantum Entanglement
Raleigh Wave
Shock Wave
speed of light
Sympathetic Oscillation
Sympathetic Vibration
Table 12.02.01 - Wavelengths and Frequencies
Three Main Parts of a Wave
Transverse Wave
wave
Wave Field
Wave Fields - Summarize and Simplify
wave number
WaveLength

Created by Dale Pond. Last Modification: Friday June 21, 2013 04:59:21 MDT by Dale Pond.