Wave Theory

Wave Theory, also known as Wave Science, Sound Science, Wave Physics and Phonetics; is the ficticious science that serves as the main basis for Song Magic, and everything that happens in the world of Ar tonelico and Surge Concerto.Ar tonelico: A Reyvateil's Melody forums: Official Materials Collections Translation Project thread Ar tonelico: Official Materials Collection - Wave Science section, pages 114-117.
== Basic Section ==
=== Introduction to Waves ===
==== Composition of Matter and Static D-Waves ====
Matter is constructed from the complex entwining of multiple waves, 
which can have frequencies ranging from 1 to ∞ Hz. These particular 
waves are called [Static D-Waves (Static Detail Waves)], and they are 
characterized by always remaining at rest. The strength, directionality 
and spectra (frequency component) of the wave frequencies' energy act 
upon the microscopic points where each Static D-Wave rests, which is 
what make possible the change of matter from solid to liquid and gas.
==== The Magic and the Dynamic D-Waves ====
Every single kind of paranormal power has its origin in the [Dynamic 
D-Waves (Dynamic Detail Waves). The Dynamic D-Waves that constantly 
appear and disappear are also the [ridges] that produce measurement 
errors in the Static D-Waves. They are the components of the Spectrum 
that produce the measurement errors on the coordinates of space where 
the Static D-Waves have their power field, and if they are placed over a
 time axis, they seem to be undulating, spreading and converging between
 them. If we take a look at a diagram of space coordinates stagnated 
with Static D-Waves, we would see there are measurement errors in their 
power fields and spectra components, but if we check the time axis for 
these same waves, we would see a different type of waves that constantly
 spread and converge in a way similar to undulation. These measurement 
errors become a surplus energy, and their unstable centers of power 
serves as the source of magic.
==== The Power of the Voice and the H-Waves ====
While sounds normally exist only in a frequency band that goes from 50 
to 20000 Hz, whenever a living creature emits its voice they also output
 waves with an even higher frequency to a greater or lesser extent. 
These special waves that are unrelated to the D-Waves are called 
H-Waves, and are commonly known as the [Waves of Feelings].
The H-Waves are also split between [Dynamic H-Waves (Dynamic Hymmno 
Wave)] and [Static H-Waves (Static Hymmno Wave)], with the former 
corresponding to the singing voice and feelings, while the latter are 
said to be the source of life (life energy). Given that the H-Waves and 
D-Waves exist in different dimensions, the H-Waves cannot affect the 
material world by themselves, but under the supposition that they exist 
as well as the D-Waves in the frequency ranges that go from the lowest 
to the highest bands, their frequency components can be negotiated 
through the [Songstones] to be converted into D-Waves.
===== Wave Comparison Chart =====
Name
(Abbrev.) 	Dynamic D-Wave
(DDW) 	Static D-Wave
(SDW)	Dynamic H-Wave
(DHW) 	Static H-Wave
(SHW)
Forms 	Dynamic energy 	Matter 	Songs (Song Magic), feelings	Life energy
Nature 	Distortion of matter 	Matter itself 	Songs, brainwaves 	Cosmosphere
Kinetic Energy Level	High 	Low 	High 	Low
Wave Type 	Ether wave 	Ether wave 	Astral wave 	Astral wave
Wave Nature 	Radiation, continuous motion	Continuous rest	Radiation, continuous motion	Continuous rest
==== The Role of the Songstones ====
The Songstones contain two different components called [Grathnode] and 
[Parameno]. Paramenos reacts to the presence of Dynamic H-Waves by 
absorbing them and transmitting their energy to the neighboring 
Grathnode component. The Grathnode component then reacts to the 
distortion in the crystal's internal D-Wave composition by absorbing 
these Dynamic D-Waves, and once the absorbed energy has crossed the 
crystal's critical point, it emits these distortions upon its 
surroundings. This Dynamic D-Wave emission becomes the power to create 
matter from nothing. As the Grathnode component won't emit any energy 
except for the amount that exceeds the crystal's own critical point, it 
is quite frequent to find in nature crystals that have quite an amount 
of distortions absorbed into itself. Therefore, if a Songstone crystal 
is broken at the same time a sound is emitted, its emissions will always
 be similar in nature to sonic waves.
==== H-Wave Bands ====
As the Static H-Waves are what give form to the minds of humans and 
Reyvateils, it is possible to decipher even their emotions and concrete 
feelings by analyzing them. The device that systematizes this process is
 the Dive Machines. To summarize the basic process through which Song 
Magic is crafted, the Dynamic H-Waves emitted by the Diver (human) cause
 undulations in the Reyvateil's Static H-Waves, with these distortions 
becoming Dynamic H-Waves, or a new Song. The Static H-Waves are divided 
into the following frequency bands:
▼Individual Consciousness Fields...This band reaches at most the 
116000000 Hz point, and it is the region where it is possible for an 
individual to be conscious of their own actions. It is also known as the
 [Cosmosphere], and it is possible to Dive in it.
▼Hymn Code...A band located approximately at 100 Hz above the 116000000 
Hz point, which is characterized by the fact that no matter how much a 
person's feelings change, it will never change its shape. The First Era 
engineers took notice of this band's stability during the development of
 the Pureblooded β-Types and decided to add a prerecorded tag to the 
[FFT Spectrum] corresponding to it. Therefore, saying a Hymn Code is 
actually ordering the Tower to compare the FFT Spectrum of the Reyvateil
 that owns that Code against the record of her Spectrum stored in the 
Tower. This band is generally never passed down as genetic information, 
so the Third Generations do not have their FFT Spectra recorded within 
the Tower (in other words, they do not have Hymn Codes that were 
recorded into the Tower). There are rare cases like Aurica who did 
inherit a Hymn Code, but this is only because the Tower misrecognized 
them for another individual.
▼Shared Consciousness Fields...The region located in the highest wave 
frequencies, where the individual is unable to assert any sort of 
control and it is instead drawn in by other people's feelings, and their
 own feelings are affected by the feelings of others. This band can be 
used to exert control over others, which is why the Reyvateils' own 
Shared Consciousness Fields were created in shallow layers. During the 
events that led to the end of the Second Era, the Reyvateils started 
seething with hostility toward all humans regardless of who they were, 
but this was because the distrust each Reyvateil held toward the humans 
was greatly amplified, which caused them to lose control of themselves 
to the point of unconsciously attacking humans as a whole.
=== Dives ===
==== Dives as Proven Under Wave Science ====
The area in which Diving is possible starts at the lowest wave 
frequencies, where Soulspace Level 1 is located (approximately in the 
20000 Hz range), while Level 9, the highest one, is located in the 
highest frequencies (approximately in the 110000000 Hz range). Trying to
 interfere into wave bands any higher than that point could not only 
bring about the risk of destroying the Reyvateil's own mind, but it 
would also affect the minds of the Reyvateils that exist in points 
slightly higher to the Diver, and the Diver's own mind as well. As 
consciousnesses with a low wave frequency receive a great impact from 
consciousnesses with high wave frequencies, and it is necessary that the
 intervening wave frequencies of the Diver become so close to the wave 
frequencies of the intervened Reyvateil that they seem indistinguishable
 from each other, if the Diver is unable to interfere into the Reyvateil
 using the purest feelings (high-frequency Dynamic H-Waves) they hold 
for her, the Diver's mind will be devoured by the Reyvateil (the Diver 
will be unable to return to the real world). In order to avoid this 
danger, the concept of the Cosmosphere being divided into levels and the
 creation of the safety device known as the Mind Guardians were created 
in order to protect both the Reyvateil herself and the Diver.
==== Paradigm Shifts and Limits to Diving ====
When the Dynamic H-Waves of the Diver cause a remarkable peak on the 
Reyvateil's Dynamic H-Waves, the Reyvateil's own waveforms undergo a 
large undulation and a Paradigm Shift materializes. When the waves 
change into finer (higher frequency) waveforms, they are compelled to go
 a level higher within the coordinates shown in the FFT Spectrum. So in 
summary, a Paradigm Shift is the act in which a Reyvateil's waveforms 
are elevated to a higher frequency. The elevation of the Diver's 
consciousness triggers an elevation of the Reyvateil's consciousness, 
which makes it a process in which both grow together.
Dives end at Level 9. At Level 9 there is a small low-frequency band 
that corresponds to the Hymn Code zone, and it is impossible to 
interfere in frequencies any higher than it under normal circumstances. 
Therefore, Divers cannot emit Dynamic H-Waves to interact with 
frequencies any higher than Level 9 regardless of how much they may 
sympathize with any Reyvateil.
==== The Obligations of the Dive Shops ====
Whenever a remarkable consciousness difference appears between the Diver
 and the Reyvateil, it is necessary to conduct an emergency suspension. 
Therefore, the Dive Operators have the duty of constantly monitoring the
 [FFT Spectra] of the people involved. Cases that would require such 
actions would be situations in which either the Reyvateil's waveforms or
 the Diver's consciousness suffer a striking drop. For example, if 
Aurica told Lyner [Come live in the Soulspace] and Lyner even thought 
[I'd be okay with that], this would cause a critical situation in which 
Lyner's waves would drop in frequency and Aurica's high-frequency waves 
would erode them. Therefore, the Dive Operators must always monitor the 
waveforms to keep such dangerous situations from occurring, though they 
are unable to see in any way what concrete events transpire within the 
Cosmosphere.
==== The Reason for Dives Into Humans Being an Impossibility ====
The structure of the Reyvateil minds, the [FFT Spectrum] is a waveform 
circuit designed by the humans, and the device (Dive Machine) for safely
 and meticulously examining it was designed at the same time as it. So 
if a human was examined through a Dive Machine, generally nothing would 
happen (there is a one-in-a-million chance of it destroying that 
person's mind though). So to Dive into a human, it would be necessary to
 analyze in detail the structure of the humans' Soulspace Map (Static 
H-Waves), but as only the analysis of the Dynamic H-Waves was completed 
during the First Era, the Soulspace Map of the humans was left an 
unknown. The reason for why it is possible to Dive into the Reyvateils 
who are hybrids with the humans during the Third Era is because their 
human Static H-Wave component is left undisturbed by the Dive Machine, 
as the replication of it they have as part of their Reyvateil structure 
is the only section that is drawn out to be examined.
=== Reyvateil Anatomy ===
==== Spectrum Gene ====
The existence that has the central role in configuring a Reyvateil's 
body is called the [Spectrum Gene]. This is an aggregation of Dynamic 
H-Waves that has a spectrum of a specific wave frequency, which gives 
form to a regular tetrahedron that maintains a 60° angle: the 
[Triangular Nuclear Loop]. Each Triangular Nuclear Loop contains the 
[Standard Spiritual Frequency] that serves as the individual clock to 
each Reyvateil, and its timing serves as the basis for the formation of 
the Reyvateil's Static H-Wave FFT Spectrum.
The Spectrum Gene has an exceedingly low capacity for storing 
information, so whenever a clone is created, the combination of 
Parameno, Grathnode and the Triangular Nuclear Loop coupled with the 
effect of multiple [undulations] such as infinitesimal interference 
measuring errors will keep the new individual from being identical to 
the one that served as its basis. Therefore, they will not be completely
 identical despite being called clones.
==== The Bodies of the Reyvateils ====
The Reyvateil body is basically composed from the same proteins that 
build the human body, but it also uses Grathnode compounds and Parameno 
compounds in order to protect the Triangular Nuclear Loop and to link 
together the H-Wave component (mind) and the D-Wave component (body). 
These compounds are materials that maintain a perfect balance and never 
have waveform displacements, similar to the Hymn Crystals. The Reyvateils
 constantly emit Dynamic H-Waves that have their [Spiritual Standard 
Frequency] as their source, and the Parameno and Grathnode contained in 
their bodies convert them into D-Waves, which results into the 
preservation of their material form (body). Therefore, it would be no 
exaggeration to say that the Reyvateil bodies themselves are produced by
 [Song Magic] as well. This is why it is said that the [Reyvateils at 
their core are made from sounds].
==== Special Characteristics for the Life Span and Growth ====
As explained previously, the Reyvateil body is created by magic, and if 
the Triangular Nuclear Loop maintaining it could sing eternally, it 
would retain an eternal youth. So in summary, the reason why the 
Pureblooded β-Types suffer next to no changes until the 150th year that 
is said to be the limit for their Triangular Nuclear Loops' life spans 
is because they were programmed by the humans in this fashion so their 
abilities wouldn't deteriorate. However, at childhood their bodies are 
formed as they grow, just like the humans do. This is because, while the
 Reyvateil body starts just as a Triangular Nuclear Loop, it continues 
creating its own body little by little, which translates to physically 
enlarging it (making it grow) and maturation of its own waveforms (which
 translates to mental maturation and learning). The [Hexagons] that 
serve as the Triangular Nuclear Loop's hinges contain Dynamic H-Waves 
that decrease in energy whenever the Reyvateil undergoes growth, and 
when their energy is completely depleted, the bodily growth will stop 
entirely. This is why it is said that the [Triangular Nuclear Loop] 
reaches its critical state when the Reyvateil is approximately of 18 
years in age.
==== What Happens in the Bodies of the Third Generations ====
The reason why the Life Extending Agent is necessary for the Third 
Generations lies in the [Triangular Nuclear Loop]. Third Generations 
have the same body as the humans, but they also possess Reyvateil traits
 that attempt to construct their bodies through magic. However, given 
the Third Generations do not possess a [Triangular Nuclear Loop] that 
can generate Dynamic H-Waves, the [HD-Conversion Ring] that serves as 
one of the functions of the LPM (Reyvateil Life Preservation Mechanism) 
activates upon all zones of their bodies and starts causing their Static
 H-Waves to undulate (distorts them) to convert them into Dynamic 
H-Waves, with the result that it destroys their own bodies. The Dynamic 
H-Wave amount that the Reyvateil body demands gradually increases more 
and more until they reach 18 years, and once they have matured, the 
destructive power on the H-Waves will surpass the body's own capacity to
 replenish the consumed waveforms, causing their death.
Diquility is a mass of [Static H-Waves] that have no special properties,
 but possess a high purity. By Installing it, the HD-Conversion Ring 
will prioritize it as the source for the creation of Dynamic H-Waves, 
transforming it into energy. Given that it will lose its effects after 
three months because the distortion on the Static H-Waves will have 
magnified too much, this is why it it said that [Diquility is a life 
extending agent that must be applied once every three months].
==== Installs and Grathnode Crystals ====
The Cosmosphere has a checksum mechanism that verifies if the feelings 
are being transmitted to the Tower normally. To verify that the feelings
 are in fact being transmitted to the Tower in a 100%, if there isn't 
enough power to correspond to the feelings' strength, the mechanism 
sends off a feedback correction with the demands that must be obeyed so 
the energy may be sent normally. The Install is an act to deceive this 
[checksum]. For example, if we had the feelings [I want to save with a 
power of 10!] and we Installed a Grathnode Crystal called [Power Up+3], 
the checksum would misunderstand the feelings as [I want to save with a 
power of 13!]. As only a power of 10 is being sent from the Cosmosphere,
 a feedback correction stating [It is missing 3!] would be sent, but the
 energy would be forcefully sent anyways. As this makes Reyvateils use a
 power that they would normally be unable to use, it places a large 
burden on them. This creates a large discrepancy between the checksum 
and the Cosmosphere's feelings, with the consequence it dramatically 
increases the Reyvateil's mental fatigue.
==== Install Port ====
It isn't just the point of contact for carrying out the Installs, as it 
also serves as an I/O port that allows for interfering with the 
Reyvateil's Static H-Waves during a Dive (incidentally, it does not hurt
 during a Dive due to the fact that it is is touched and scanned). As 
this is the part that completely exposes the Grathnode compound, it also
 fully exposes the Reyvateils' own feelings, reason why they 
instinctively cover it from other people's eyes.
=== Hymmnos Language ===
==== The Hymmnos Language and the Causality of the Natural Laws ====
The Hymmnos Language was invented by the ancient shamans. While their 
Hymmnos incantations had no effects as [words], there were many cases in
 which they detected particularly large waves in the ultra-high 
frequency bands (DHWs above the 200000 Hz range) just from the knowledge
 and experiences they had been bequeathed from antiquity. Furthermore, 
they learned through trial and error that their incantations could bring
 about effects, and naturally came up with words that would be used in 
deeds such as making rain fall. Strictly speaking, the many Dynamic 
Waves that were contained in these words would cause an effect on the 
waveforms of the atmosphere's moisture by changing their tendencies to 
condensation, so in simpler terms, it was no more than changing the 
Static Wave component to compel the atmosphere to contain water.
The energy a single person can emit on their own is quite weak and 
unable to bring about any sort of grand change, but they made it 
possible to enhance the effects by singing as large choirs composed by 
dozens of people. Furthermore, by making their consciousnesses 
synchronize with each other and make their pronunciation spectra 
resemble each other, they would cause resonances that would be capable of 
bringing about extremely powerful effects. The fact that the Hymmnos 
make frequent use of multi-track choral singing in the Third Era is 
because these experiences were handed down into them.
==== The [Tower of Origin] Interpreter ====
The predecessor to Ar tonelico, the [Tower of Origin] was not compatible
 with the Hymmnos Language. The only thing the Tower of Origin could do 
was a fixed, simple sequential playback of a specific frequency, so 
creating solid matter from the air was no more than a dream inside a 
dream for it. At best, the only things it could do were produce sonic 
waves, water and formless energy. In order to manifest more complex 
magic, it needed instant-by-instant emotional spectra that were deployed
 on the Time Axis, or [Songs].
==== The Songs and the ω-Spectrum (Time Axis Deployment) ====
Whenever a Song is sung, the singer is capable of thinking up every 
single instant from the beginning to the end of that Song in their head.
 The movement of the Time Axis constructs a free high-dimensional world 
inside the singer's brain, and if they sing even a single instant of 
that Song, that instant will extend as a straight line, pulling from the
 singer's brain the entirety of the emotions and vocal spectra that 
exist upon the Time Axis. What makes this possible is that by combining 
the audible band (50 Hz to 20000 Hz) and the [Individual Consciousness 
Fields] that exist above the 20000 Hz range, it is possible to deploy 
the Time Axis. The audible band (Song) serves as a [carrier wave], so as
 soon as it can cross paths with and seize the Spectra from the 
Individual Consciousness Fields, it can be used to convey [feelings].
The [Time Axis], the [Individual Consciousness Fields] and the [Energy] 
suffer complex tridimensional changes as they are entwined with each 
other, allowing for complex feelings and the manifestation of complex 
magic. These waves are what we know as the [FFT Spectrum]. And actually,
 by using the undulations of the heart in each microscopic δ-time unit 
and expanding each of their instants, the waves contained in them can 
manifest as a single magic. This deployment on the Time Axis that 
includes even undulations measured in microscopic time units across all 
time (which will not appear in the Third Dimensional space due to being 
Fourth Dimensional information) is called the ω-Spectrum.
==== Hymmnos Vocabulary ====
The Hymmnos vocabulary was made from the compilation of the shamans' 
rules of thumb, and it also had several additions made to it. As its 
name of [language of emotions] says, refining the pronunciations that 
would express a feeling the best and giving shape to the carrier waves 
(sound waves) that would allow to convey the waves of [feelings] for it 
(waves of over 20000 Hz) with the greatest efficiency, was how the 
Hymmnos word that translated to that [feeling] was created. The shamans 
had a great intuition, so even if we analyzed them scientifically, we 
would see that almost all the words have pronunciations (carrier waves) 
that are compatible with the feelings they carry, making theirs the best
 method. All the words that were created afterwards follow this same 
concept of making pronunciations that can carry feelings easily.
==== The Purpose of Ar tonelico (the Tower) ====
Ar tonelico manifests in the physical world the feelings of the 
Reyvateils. The Dynamic H-Waves contained in their Songs will produce a 
magical effect to a greater or lesser degree as long as there are 
Songstones nearby, but it would be extremely weak, not to mention that 
given that the Songstones' absorption capabilities worsen the more 
impure the crystal is, the singer would do nothing but exhaust herself 
without her feelings being properly conveyed. The Tower absorbs all the 
feelings in its Parameno part, and after amplifying them further through
 a feedback boost, it manifests them. So the Reyvateils using the 
resources of the supercomputer that the Tower is what makes it possible for 
them to unleash great powers they could never use on their own.
==== Wave Transmission Methods ====
The Reyvateils' waves are sent into the Tower through a Symphonic Power 
line located in their Cosmospheres called the [Tower of Life]. Given 
this gives them a direct connection, they can transmit their feelings to
 the Tower almost exactly as they felt them. It is due to this that the 
Reyvateils are able to send their requests for magic even if they aren't
 around the area of the Parameno Discs, and it was also the main reason 
that drove the development of the Reyvateils. If it was a human singing 
instead, the larger part of the waves they emit would be lost as they 
were transmitted through the atmosphere, making it next to impossible 
for the [Physical Parameno Discs] to receive them.
==== Why Humans Cannot Use Song Magic ====
The humans have large [fluctuations] in their Songs and emotions, so no 
matter how adept they might be at singing, they would never be able to 
craft and emit proper waves for them. Additionally, the majority of 
humans are also thinking of other things as they sing. Due to this, the 
feelings they put into [sound] component is inconsistent with what they 
are actually feeling in their [minds], which generates large 
contradictions in the FFT Spectra and render them unable to convert them
 into Symphonic Power. Sincere and unwavering [feelings] are essential 
for the Songs, which is the second reason that drove the development of 
the Reyvateils. This is because a Reyvateil demonstrates an astounding 
concentration power whenever she sings, which means they will disregard 
any attacks they may receive and just keep singing, unable to stop or 
defend herself. The Pureblooded β-Types have next to no fluctuations, 
while the Third Generations have large amounts of them. This is what 
accounts for the difference in their abilities.
=== Song Magic ===
==== Reasons Behind the Physical Manifestation of the Song Magic ====
Magic is explained in Wave Science as follows: [By applying Dynamic 
D-Waves upon a target point, changes will occur upon the Static D-Waves 
that exist in said point]. Static D-Waves are what give form to matter, 
with low-frequency waves corresponding to gases and high-frequency waves
 being solids. Consequently, an application of high-frequency Dynamic 
D-Waves will produce Static D-Waves of high frequencies, which means it 
will produce [something] from nothing. This in itself is an advanced 
kind of magic.
==== High-Load Index for Wave Frequency Difference ====
Magic in which there is a large difference in the wave frequencies 
requires particularly strong feelings. For example, the energy necessary
 to produce matter or utterly annihilate it requires feelings with a 
proportionately high energy level to be generated, even taking the 
Tower's amplification in account. The simplest way to increase the 
energy level would be to craft the magic in a high-level Cosmosphere. 
Magic crafted in high-level Cosmospheres approach from their level of 
origin to the Tower whenever they are sung, meaning that given that the 
higher levels are closer to the Tower, their feelings are easier to 
transmit and the Tower can return them as high-energy Dynamic H-Waves.
=== Bonus Explanation: The Relationship Between Aurica and Mir ===
Even among the people who possess Mir's genes, Aurica's Static H-Waves 
ended up having a large resemblance to Mir's own even in the highest 
frequencies of the Spectrum. Given that the wavelengths in their Hymn 
Code zones ended being so similar, Mir could easily open up Aurica's 
[Boundary Gate], manifest Viruses through her mind when she was at the 
Musical Corridor and also send the model data for Goddess Tyria into her
 Soulspace. What Shurelia referenced when she said that [Aurica might 
have a hole] was this similarity between their wavelengths.
== Intermediate Section ==
=== The Laws of the World ===
==== The Definition of this World ====
World > Universe > Galaxies > Planetary Systems > Planets> Regions > Individuals
The extremely enormous "border" that shapes this universe is the world. And for clarifying the terminology used here, [Planet] is how we call the [Planet of Ar Ciel], and [Region] is how we call [Metafalss] and [Sol Ciel].
==== The Laws of the Universe ====
This Universe is made from waves, as well. The event that created [this world], called the Big Bang, was caused by just an small atomic nucleus. That atomic nucleus is called [Exa Pico], and by means of its enormous Will, it crafted the [Universe].
The other kind of existences, such as the stars and galaxies, were all born from Exa Pico, as well. The expansion from Exa Pico and indicating the creation of every thing has been said metaphorically in Metafalss as [Whenever Exa Pico crafts a song, it also creates something].
It can be said that the atomic nucleus of Exa Pico also composed an unlimited number of waves (Static Waves). And thus, each one of these waves (for example: the D-Waves) can be said in a unlimited number of ways that it also carries an unlimited number of wave frequencies as its components.
Exa Pico also emits the astronomical kind of waves at such a rapid and violent rate that our general concept of time isn't even able of measuring it. 
And when the expanding waves come from different directions and bump into 
each other, they cause interference to each other, and originate waves that 
have lost the equilibrium in their undulation. These new waves are the [Dynamic 
Waves] (Pic. 1).
The newly created Dynamic Waves will propagate through the space of this 
world, and create the [Universe] of Exa Pico. In short, we can say that 
the Universe, under the general concept of [World], is [an area where Exa 
Pico exerts its influence).
Thus, the expanded Dynamic Waves will create a new kind of waves, called 
Static Waves. This phenomenon is said to be the result of the Dynamic Waves 
created by Exa Pico expanding through the Sea of Num (the space where the 
amplitude and frequency of all the waves are zero). The theories established under Wave Sciencestipulate that the Dynamic D-Waves gave their frequencies and amplitudes to the Sea of Num, and that created the Static Waves, turning the [Universe] into [Something that Continues to Exist]... or at least, that's what these theories say. (Pic. 2)
This wave interference doesn't happen because of special Static Waves. Except 
for the Dynamic D-Waves, all of the waves are the result of a simultaneous 
interference, which also produced the assembly of new atomic nucleuses. 
We actually could say that the Exa Pico continues creating an unlimited 
number of new assembled atomic nucleuses. Among these assemblies we have 
the stars, the black holes, and the waves of energy that are invisible to 
the naked eye. These countless creations are born from the [Song] of Exa 
Pico. The creations also include H-Waves, which, even if they are called 
in various ways, they aren't anything more than [Will]. Namely, they are the [Feelings] of Exa Pico.
When two waves of the same kind (i. e. two identical D Waves) collide with other, the wave interference causes the creation of a new wave.
Is only in this stationary point where the Dynamic Waves meet, and because of the resonance phenomenon, they are amplified, creating an static power exactly where they meet. That power ends turning into a new Static Wave.
==== The Laws of the Star Clusters and Star Systems ====
The assemblies of stars called Galaxies and Solar Systems are the product of the many kinds of waves released by Exa Pico. And thus, these [Star Clusters] are atomic assemblies which exist being essentially similar to Exa Pico. As we all know, this is because the Star Clusters themselves also have their own [Feelings]. However, these feelings are not actually of them, or from other entities. They are nothing else but the extraordinary feelings of Exa Pico. This is because the Star Clusters are existences that were contained inside of Exa Pico, which causes that the [Feelings of the Star Clusters] and the [Feelings of Exa Pico] to not be different at all. Thus, the Star Clusters, and the feelings that were contained inside Exa Pico, were what created the infinite number of stars that compose the Star Clusters. While this process keeps repeating itself endlessly, it will give birth to many new atomic assemblies, which take the shape we call the [Stars].
==== The Laws of the Planets ====
And when a [Planet] is created, the Will that supports its existence will even transcend the astronomical kind of mathematics. And it's because, as we have 
stated so far, the infinite number of waves released from Exa Pico, the Universe,
and from the feelings of the Star Clusters, all exert an influence over 
the Planets.
Because they all constructed [the atomic assembly of this Planet], it's that this Planet exists. And because of that, the Planet also has a Will of its own, its own [Feelings]. This Planet, which contains the regions of Sol Ciel and Sol Cluster is called [Ar Ciel] (which in Hymmnos means [This World]). The Will of the Planet Ar Ciel is what gave birth to everything that exists on its surface. From all the life forms, to its own shape, including its mountains and oceans, all of them consist of the waveforms that are affected by the Will of Ar Ciel.
==== The Laws of the Life Forms ====
Continuing, we will now discuss the topic of the [Life Forms]. The humans have a will, which is formed by their [Static H-Waves]; and also, they have a body, which is formed by their [Static D-Waves]. There is also a condition where they could lack D-Waves, and have only H-Waves, which is an existence we are used to call [Spirits]. The humans perceive the world through their [Eyes], though their eyes are no more than [Sensors capable of recognizing just an small part of the existent Static D-Waves]. This is the reason why they are incapable of perceiving H-Waves. Now, thinking under this paradigm, you should be able to think about the [Will] in a more deep way. The humans usually think that [The animals have will as life forms], [The plants are life forms, but don't have a will of 
their own], and [The stones aren't life forms, so they don't have a will]. 
However, all of this is but a misunderstanding caused by just judging from 
what they can perceive through their eyes. The animals simply [have a body 
and a will that allows them to move freely]. The plants are just [life forms 
that don't have a will that allows them to move freely], though you can see that they do have a component (their bodies) that does change over time. And the stones [don't have either a body or will that allows them to move 
freely], but they do have a [Will] of their own. So you can be sure that 
everything that exists on this world has a [Will] of its own.
==== The Atomic Assemblies and the Bodies ====
The atomic assemblies are [anything] that is always being created because 
of wave interferences. Because of this, Exa Pico crafted an unlimited number 
of things through the Static D-Waves and other kinds (such as the H-Waves, 
which cannot be perceived by the eyes), which was what created the universe. 
No matter if the end result is an star cluster or a planet, they passed 
through the same process to be created, and at the end, many things are 
being created inside of the planet.
For things that are visible to our eyes, such as the atmosphere and the 
moisture, and also, the life forms, all are created through Dynamic D-Waves. 
Especially in regards to the life forms, whose main components are both 
Dynamic H-Waves and Dynamic D-Waves, and the union of these two kinds of 
waves with an infinite number of other kinds of waves, which are said to 
be the product of a wave interference of an extremely high level, are what 
gives life to them.
Like this, starting with Exa Pico, and ending with the life forms, is how 
all the environments originated, and how new [anythings] continued to be 
created, but... what about the [humans]? The answer is [of course they are 
being born]. For example, the Static D-Waves they call their [bodies] are 
like that too, being constructed by cells, and as long as these cells continue 
exercising their metabolisms, they will continue to live, thus being called 
[life forms]. Besides, the exterior of the body also creates many kinds of 
waves, such as heat and sweat. However, that clout is so small that it cannot 
be perceived. For example, if we saw this from the viewpoint of the planet, 
it would just be as thin as a paper sheet. More or less that is how we feel 
the clout of our cells.
But speaking In general, the meaning of everything from Exa Pico to the 
humans being just atomic assemblies doesn't change. Everything that exists because of the same reasons as Exa Pico is a [life]. The difference between both is only in what kinds of waves constitutes each of them. Each one of the waves that we know also forms part of a bigger wave range, whose highest point are the waves that expand from Exa Pico (pic. 3).
The waves represented here are an schematic diagram of the supposedly infinite waves that expand from Exa Pico, which is on a upper rank in comparison to the star clusters, stars, and planets, among other things, and we can see how each one of the lower ranks inherit one part of these waves when they are created. In other star clusters there are also other planets, which means that they might have entirely different waves in their composition from the ones that Ar Ciel has. Furthermore, if the "father" part doesn't 
have an specific wave as its component, then, its "children" parts won't inherit it either. For example, if a sun doesn't have N-Waves on its composition,
the planets orbiting it won't have N-Waves either. Following this line of thought, we can see that being apart in this universe by a relatively short distance doesn't go against the common sense. However, given how vast 
the universe is, there might be infinite places where the scientific paradigms 
existent on Ar Ciel might not be applied.
==== The Existence Called the "Voice" ====
The human atomic assemblies have a vertical area of influence of approx. 
2 meters, which is where their own Static D-Waves enter into effect to mold 
their bodies. However, the humans surprisingly have also another extremely 
great power.
This power is the [Voice].
The voice changes the Static D-Waves, and produces Dynamic H-Waves. As we 
said before, the Static H-Waves are [Will], and releasing the voice is an 
act of expanding the area of influence of the atomic assemblies by several 
hundreds of meters temporarily. And furthermore, the humans also have sensors 
capable of perceiving any kind of Dynamic H-Waves, as long as they are lower 
than 20.000 Hz. These sensors are what we call the [Ears]. Under Wave Science,
the Ears are thought of as a prepared instrument that acts as a checksum 
for confirming the Dynamic H-Waves (Will) that we ourselves release.
==== The H-Waves - "Will" and "Feelings" ====
If we can call the Static H-Waves the [Will], then we can also call the 
Dynamic H-Waves the [Feelings]. Because the human atomic assemblies are 
comprised of Static H-Waves, the humans also have a Will, as we can prove 
under Wave Science.
According to the researches conducted in Sol Ciel, it has been explained 
that the humans are able to express Dynamic H-Waves in a range that goes 
from 1 Hz to 5.28x10^11 Hz. However, if they were to become waves from the 
highest frequencies, their H-Waves (feelings) would need to increase their 
strength in extremely great quantities. As for an example of things would 
be raise to raise the strength of the H-Waves, we can say things such as 
the instinctive (potential) [earnest feelings] and [impulsive feelings], 
which are what in the end produce Dynamic H-Waves containing great quantities 
of energy.
We can try to think about what kind of influence its exercised by the voice 
of a person causing interferences in the Will of others. When both read 
the same sentence aloud, one reading it with strong feelings, and the other 
one reading it plainly, the former one will resound more to the hearts of 
the people. Basically, it's because the Dynamic H-Waves of the first person were spread in the [words filled with feelings], and the more feelings they contain, the stronger is the energy they will have when they clash with the Static H-Waves of the receiver, meaning this will create wave interferences. Because of the judgement that all of the people generally make from their own viewpoints, we will notice with our eyes what we call the [movement] (the interferences of the Dynamic D-Waves), however, though we normally say that [I'm moved], we are also conscious that we can't see the moving of the heart (the interference of the Dynamic H-Waves)
Still, the Static H-Waves can be moved by many other things besides the voice. For some familiar examples, we could say the books or the movies. All of these can be either inorganic substances or atomic assemblies, but all of them are created by the humans, and both produced the human wave interferences, and they are what end forming the Static H-Waves. All of this can be resumed in that the [Will] and the [Feelings] are H-Waves, and they are present in every thing we can see.
=== Reyvateils ===
So far, we have seen that the themes of this lecture were the capacity the humans have to see the D-Waves, and their ability of perceiving and emitting H-Waves. However, this actually means that the human atomic assemblies are not capable of emitting Dynamic H-Waves by themselves. However, the humans found a solution to this with the discovery of the [Songstones]. Because the Songstones are able to absorb with a good range the Dynamic H-Waves from any given source, and after storing the energy of the [voice], it can also release them converted into Dynamic D-Waves with an equally good range, effectively manifesting that energy into the physical world, and allowing them to be used. Once the humans discovered the Songstones, they became able to create Dynamic D-Waves at will, but unfortunately, its overall effects were too weak to be used in a greater scope. It also was discovered that the Dynamic H-Waves the humans released were filled with fluctuations, thus making them unable to control the power their feelings could generate. This eventually led to the creation of the [Reyvateils].
==== The Reyvateils and the Waves ====
Once the Humans realized their own limits, they began to research the H-Waves and D-Waves more deeply, and basing their theories on these two kinds of waves, they created the Reyvateils. And for maintaining the life cycle in their bodies, they made them so they needed only D-Waves and H-Waves, among the innumerable kinds of waves that may exist, to continue living. This is why they are a more simple version of the humans, who are constituted by seven different kinds of waves, and also, this is the reason behind being hard for the Reyvateils to come up with evil ideas. The reason behind this simplicity is related to being able to perform a process with extreme accuracy, making the Reyvateils so efficient that they effectively can't be compared with the Humans. Still, there are some phenomenon that are said to be impossible to cause in the human brains, and they can't happen in the Reyvateils either.
And from now, we shall be explaining about the Reyvateils as they are seen in an scientific way.
The main components that form the humans are the energies from seven different kinds of waves, with every one of these waves located in frequency bands that are between 1 Hz and 5.28x10^11 Hz. This also means that all the waves emitted by the humans, such as their vital energy, love, or any emotions, reach their limits at the 5.28x10^11 mark. No matter how much you fall in love, or how much enlightened you might be, the human waves can't cross the 5.28x10^11 frequency band, since that is a physical impossibility.
Because of this limit, the humans created the Reyvateils by scanning their own H-Waves, and made them similar to them, like if they were [clones of the humans, specialized in particular abilities].
And the memories and minds of the Reyvateils are preserved in Ar tonelico through a shape called the Cosmosphere, in which their Individual Consciousnesses are located in the frequency bands up to 1.16x10^8Hz, while any frequency band higher this is where their Common Consciousnesses are located. Furthermore, in all of the areas of the Cosmospheres, they are able to give a physical 
shape to all of their emotions, thanks to their direct connection to the Tower through the Parameno Discs. And more importantly, the Reyvateils are able to craft miracles called Song Magic (the conversion of Energy into Dynamic D-Waves through Ar tonelico) by sending their feelings to Ar tonelico (their Songs, which are essentially Dynamic H-Waves), which are created in response to their waves reaching a peak by cultivating their Cosmospheres.
And now, we will talk about the enhanced breed of Reyvateils created in Metafalss, the IPDs. They are different from the Standard Reyvateils by the fact that their Individual Consciousnesses were structered in a more shallow way, given that they are located in the frequency bands ranging from 2.0x10^4 Hz to 5.4x10^7 Hz. In the deeper bands, they were structured to have an special energy reserve called the E-Spot, which is their special characteristic as the [Reyvateils that were created to sing Metafalica](more details on page 91). However, having their consciousness limit lower than the other Reyvateils doesn't hamper at all the effects of their Song Magic. This, which was considered the biggest design failure of the IPDs, was discovered during their development stage, and ended being fixed thanks to the creation of the Hymmnos dialect used exclusively by the IPDs: the [New Testament of Pastalie].
And more importantly, they demonstrated that their Songs are more effective when compared to the ones used by the Standard Reyvateils, both time and effect-wise, since the IPDs could sing songs of an specific level faster and with better effects than the ones used by the Standard Reyvateils of the same level.
==== The Atomic Nucleuses [Sing] ====
The Songs go through all the creation. This is because all of the atomic assemblies [are singing], starting with Exa Pico and ending in the inorganic substances. This is said to happen because [they are exposed incessantly to the waves]. As paradoxical as this might sound, if the atomic assemblies did not continue to sing, they would be unable to preserve the existence of their child assemblies. Taking an example from Song Magic, more precisely: Luca's restoration song 
magic [Triangle Tune]. While Luca sings the song, we can see the figure 
of a girl appear, but once Luca stops singing, the figure of the girl disappears 
in just an instant.
This is because Luca stopped sending the Dynamic H-Waves that maintained 
the existence of Triangle Tune (or more strictly speaking, the Dynamic D-Waves 
that Ar tonelico released in response to her Dynamic H-Waves). And since 
the Dynamic D-Waves that formed her disappeared, she returns to the space 
(the sky) controlled by the [Dynamic D-Waves that are released from the 
great universe containing the Planet of Ar Ciel]. This is because Triangle 
Tune is not related anymore to the Will of Ar Ciel. All of the existences 
that are still over the Planet of Ar Ciel exist because of the Dynamic D-Waves 
that were produced by the singing of the Planet.
All the other existences that may appear over it are allowed to be just 
because the Planet of Ar Ciel [allowed them to exist]. However, the Will 
of the Planet Ar Ciel will only recognize Triangle Tune as a friend during 
the time that Luca continues singing. That is why Triangle Tune cannot continue 
existing once Luca has stopped singing.
Essentially, this is a law of nature, though the existence will not disappear 
only if its creator vanishes away. For example, a vacuum cleaner will not 
disappear, no matter if its inventor passes away. This is because, in the 
first place, the vacuum cleaner was created with the resources of Ar Ciel, 
so the inventor already made a mediation with the Will of the Planet. But 
from the viewpoint of the planet, the vacuum cleaner will end weathering 
because there wasn't any mediation about [preserving its vacuum cleaner [condition]? Like this, all the things in the creation are singing. All of them, are what forms this world shaped by the songs (pic. 4).
An item, such the [Walking Gergo] created by Cloche, was created out from the raw materials of Ar Ciel, so it has received all the love from this star system. Because of that, no matter if Cloche dies or if Ar Ciel is destroyed, it will continue existing. However, a Song Magic, such as [Triangle Tune], is made from mechanical D-Wave interferences, and since it was created from a disruption in the natural order of the Planet, it cannot receive love from anything besides Luca. Because of that, Triangle Tune will disappear as soon as Luca stops singing.
=== The Only Love of the Second Tower ===
The Second Tower, located in Metafalss, only continues existing because it's exposed to the Dynamic D-Waves emitted from Sol Marta. Because the 
humans can perceive the D-Waves by various means, such as hearing and seeing,
they settled down upon it, without even starting the doubt if this place 
was actually structured by just only D-Waves. However, in reality, this 
artificial structure does not exist over the Planet of Ar Ciel. And because 
it is an strange body that was not mediated with the love of Ar Ciel, it 
is supported only by Frelia's love. This means that if Frelia stopped singing (supporting) it, this structure would return instantly to its original state (in other words, it would vanish into thin air).
==== The Love of the World ====
The Planet of Ar Ciel, during more than 700 years has accepted an artificial assembly of D-Waves among its own waves, and this is because of Frelia's singing.
As long as Frelia continues singing, we can say that the Tower is a "friend"
of the Planet of Ar Ciel. Over the Tower, we can see that plants grow like 
if there was land, and they are nurtured by water.
Yes, this means that the Planet has accepted the strange Towers as if they 
were a natural part of it. This love that does not require any compensation 
is "the love of the world", which is represented at its peak by Exa Pico, 
which continues allowing the existence to all the things in the Universe.
==== Continuation: The Laws of the World ====
Now, we shall return to the start of the second section of this lecture: 
[The Laws of the World]. The atomic assemblies of both Exa Pico and the 
humans are exactly the same, the humans are formed by cells within their 
bodies, and as if it was to allow them to live as they wished, the laws 
of the world connect everything in an equal way.
Exa Pico, and more precisely, Ar Ciel, exist because that is the Will of 
the Universe. And since Exa Pico is receiving the love of this [World], 
that means there should be others. That also means that there might be another 
atomic assemblies that were created like Exa Pico: by the Big Bang that 
gave birth to the Universe.
=Refences=
Category:General Information
Category:General Information