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Publish at March 05 2024 Updated March 08 2024

The waves that surround us

Mysterious and governed by mathematical laws

Gravitational wave simulations NASA

In the universe, a few rules govern phenomena, from the Fibonacci sequence to the morphogenesis of figures created by various waves.

If we think the universe was created by the random impact of atoms, meteorites or other objects, it's not impossible, but it wasn't created just any old way.

Perhaps in the beginning were waves?

What is a wave?

"A wave is the propagation of a disturbance that produces a reversible variation in the local physical properties of the medium. It travels at a given speed, which depends on the characteristics of the propagation medium.
There are three main types of wave:
- mechanical waves propagate through a physical material whose substance deforms. Restoring forces then reverse the deformation. Sound waves, for example, propagate via air molecules that collide with their neighbors. When molecules collide, they also bounce off each other. This prevents the molecules from continuing to move in the direction of the wave;
- electromagnetic waves require no physical support. Instead, they consist of periodic oscillations of electric and magnetic fields originally generated by charged particles, and can therefore travel through vacuum;
- gravitational waves also require no support. Instead, they propagate deformations in the geometry of space-time.
These three types vary in wavelength and include, for mechanical waves, infrasound, sound and ultrasound; and for electromagnetic waves, radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays and gamma rays".

Source : wikipedia : https://fr.wikipedia.org/wiki/Onde

If we're familiar with the sound waves that echo in our ears, how familiar are we with other waves? The ones we see, but especially the ones we don't.

What is visible and invisible radiation - Definition

"In general, electromagnetic radiation can be divided into the visible and invisible parts of the electromagnetic spectrum. Visible and invisible radiation
In general, electromagnetic radiation can be divided into the visible and invisible parts of the electromagnetic spectrum. Light is electromagnetic radiation in a certain part of the electromagnetic spectrum. The word generally refers to visible light, which is the visible spectrum that is visible to the human eye. Visible light is generally defined as having wavelengths in the range 400 to 700 nanometers (nm).
Electromagnetic radiation in the visible light region consists of quanta (called photons ) which are at the lower end of energies that are capable of causing electronic excitation within molecules, leading to changes in the molecule's bonding or chemistry. Photons are classified according to energies from low-energy radio waves and infrared radiation, through visible light, to high-energy X-rays and gamma rays.
At the lower end of the visible light spectrum, electromagnetic radiation becomes invisible to humans (infrared) because photons no longer have enough individual energy to cause a lasting molecular change (a conformational change) in the visual retinal molecule in the human retina, triggering the sensation of vision.
"Invisible radiation
All electromagnetic radiation except visible light (a very narrow band) is invisible. Invisible radiation includes radio waves, infrared, UV, microwaves and gamma radiation. In addition, alpha and beta radiation, as well as "cathode rays" - all of which are particle streams - are invisible.
It should be noted that no invisible radiation is completely invisible to the human eye. A related topic is the visual phenomena of cosmic rays, in which astronauts can see flashes of light, which are probably due to individual cosmic ray particles interacting with their eyes. Researchers believe that these flashes perceived specifically by astronauts in space are due to cosmic rays (high-energy charged particles beyond the Earth's atmosphere), although the exact mechanism is unknown."

Source: What is visible and invisible radiation - Definition - January 9, 2020 by Nick Connor - https://www.radiation-dosimetry.org/fr/quest-ce-que-le-rayonnement-visible-et-invisible-definition/

Unknown waves and phenomena are a dime a dozen. Yet while we can't really explain them, some are formalized before our eyes as extraordinary geometric results. In the immensity of the small scale, there are the Chaldni figures.

Chaldni figure

"Chaldni figures are the geometric patterns formed by a powder on a vibrating plate. They are named after the German scientist Ernst Chladni.
Chladni figures depend on the plate's frequency of vibration. They trace the nodal lines, i.e. the lines of the vibration nodes, where standing waves are destructive and amplitude is minimal. Each pattern corresponds to an excited eigenmode.
Operation
A horizontal plate is rigidly fixed to a central support. It can be of any size, shape and thickness. Historically, the plates used by Chladni were made of metal, but a wide range of materials can be used to form numerous, clear patterns.
Once the plate has been fixed to the support, sand is placed on it and it is set in vibration, for example by rubbing a bow vertically against the edge of the plate. Under the excitation of the bow, the plate vibrates, and the sand moves from areas of high vibration to areas of low or zero vibration (respectively the antinodes and nodes of the standing wave), forming Chladni figures. Current practice is to vibrate the plates using a Melde vibrator.
With a Melde vibrator, the central point has a condition on its movement, while the periphery of the plates is not subject to the support. It is therefore free to vibrate.
When studying the same plate, changing the excitation frequency reveals different, increasingly complex patterns corresponding to the plate's vibratory modes. The vibration can be attenuated in certain places by placing a finger on it, which will partially break the pattern. New patterns are created by modifying the plate's parameters (shape, size, thickness, etc.).
There is a huge variety of patterns (an infinite number), depending on the characteristics of the plate and the way it is vibrated. In practice, however, only 4 to 15 patterns are observed per plate, because above a certain frequency, the plate vibrates too little in amplitude to allow the grains to move, and so no pattern appears.

Source : wikipedia : https://fr.wikipedia.org/wiki/Figure_de_Chladni

If we can generate sound waves that will create patterns with sand, let's also look to the infinity of the sea and consider the phenomenon of waves.

Wave

"A wave is a deformation of the surface of a body of water, usually caused by the wind. At the interface of the Earth's two main fluids, wind creates waves on oceans, seas and lakes. These irregular movements are dispersed over the surface of the water and are collectively known as sea state. Other, less frequent phenomena are also the source of waves. For example, major earthquakes, volcanic eruptions or meteorite falls also create waves known as tsunamis or tidal waves. The tide is also at the origin of very particular waves, called tidal bores, which occur in circumstances where the tidal wave encounters an opposing current of equal speed. Certain meteorological phenomena can be the source of "meteo-tsunamis" (or meteorological tsunamis, whose wave can have the same characteristics as a tsunami). Finally, ships are also sources of waves.
The most cambered waves can break, creating turbulence and marine currents. These are gravity waves, the restoring force being gravity: their evolution is determined by the properties common to waves, such as reflection, refraction and diffraction.""

Source : source - https://fr.wikipedia.org/wiki/Vague

Is a wave a wave or the result of a wave, a shock or something else? In fact, it's certainly a bit of both. But this morphogenetic nature, in which form creates effect and effect creates form, makes the study of waves fascinating and infinite. Why do wines age faster in pyramid-shaped containers? Why do they do this? No one can answer that today, but the shapes generated are often far from chaotic.

Waves in the microcosm of cells or in the macrocosm of space are fascinating. Why do some waves pass through us with no apparent immediate effect, while others bounce back and even affect us? A whole new field of exploration remains to be explored in order to enrich our knowledge base.

To conclude this overview of waves: gravitational waves, which generate magnificent harmonies between stellar masses, black holes and other space phenomena.

Gravitational waves

"In physics, a gravitational wave, sometimes called a gravitational wave, is an oscillation in the curvature of space-time that propagates at a great distance from its point of formation.
Albert Einstein predicted the existence of gravitational waves in 1916: according to his recently published theory of general relativity, just as electromagnetic waves (light, radio waves, X-rays, etc.) are produced by accelerated charged particles, gravitational waves would be produced by accelerated masses and propagate at the speed of light in a vacuum. However, the reality of gravitational waves has long been debated. Einstein changed his mind several times on the subject, the question being whether these waves actually had a physical existence or were a mathematical artefact resulting from a choice of coordinate system. Only experimental research could remove the doubt and provide a new test of general relativity. Efforts in this direction began in the 1960s, with the realization of the first Weber bars.
Since 2016, the existence of gravitational waves has been confirmed, thanks to a first observation made on September 14, 2015. This observation opens up a new field of observation of the universe on a large scale, especially as gravitational waves are not stopped by matter."

Source : wikipedia - https://fr.wikipedia.org/wiki/Onde_gravitationnelle

If this is a novelty in space science, it is not in architecture or mathematics. The Fibonacci sequence observed in the sky is the same as that used in architecture. With a human simplification called the golden ratio, regulated by the number ᴨ (Pi), which is infinitely inserted into the sequence.

In mathematics, the Fibonacci sequence is a sequence of whole numbers in which each successive term represents the sum of the two preceding terms, and which begins with 0 and then 1. The first ten terms in the sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21 and 34. This simple-logic sequence is considered the very first mathematical model in population dynamics.
But if this sequence is so famous today, it's because it has an exponential growth rate that tends towards the golden ratio, a ratio symbolized by "φ", associated with many aesthetic qualities within our civilization. Its exact value is (1+√5)/2, having as its first ten decimal places 1.6180339887... This ratio, considered one of the keys to universal harmony, is declined and transposed by geometric shapes such as the rectangle, the pentagon and the triangle.

Source : Mathematics: the fascinating Fibonacci sequence and the golden ratio - https://www.nationalgeographic.fr/sciences/mathematiques-la-fascinante-suite-de-fibonacci-et-le-nombre-dor

Universal harmony, as the ancients called it, or one of the laws of the universe? It's hard to say. I began this article by asking whether everything is a wave, and I'll end with matter. It seems to me that it's a balance between the two. If matter is a wave, then our brains are either not formatted or not yet ready to understand it rationally. Today, we find it easier to understand the relationship between waves and matter, as we do with music: perhaps material resonances will one day lead us to immaterial reasonings that will enable us to have simple, fluid understandings of various subjects, such as the creation of the world.

Source Image : Gravitational waves emitted by two black holes as they spiral into each other, shown in a simulation - Image credit: C. Henze/NASA Ames Research Center



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