In order to find answers to these questions, let’s consider ourselves sitting at home after a long, tiring day. Are we aware that we are moving very fast even at a moment when we seem to be resting? When we travel by bus, we are motionless from the standpoint of a sitting passenger, yet have a velocity compared to an outsider standing on the sidewalk. The trees lining the road seem to be going backwards, but they are fixed to the ground with no speed. Therefore, velocity is relative and we in fact move at different speeds while sitting at home depending on the objects of reference. We have a zero velocity relative to our guests sitting with us on the couch, but have various speeds compared to the center of Earth, the moon, the sun and the center of the Milky Way galaxy. Not only us, but all existence in the universe has a movement, or oscillation. This movement is usually in the form of a revolution for objects of important mass and as a vibration for particles with smaller masses.

The shining celestial bodies of the cosmos rotate around themselves like whirling dervishes. They revolve around other heavenly bodies or around their common center of gravities, such as pilgrims revolving around Ka’ba in Mecca. The gravitational force set in the universe pulls all objects towards each other. This gravitational force indeed pulls all masses together; however, it is counterbalanced by the motion of revolution given to grand heavenly bodies. As a matter of fact, everything is moving: a solar system with its planets, moons, and comets; the Milky Way galaxy, along with billions of stars, nebulas, galaxies, interstellar dust, gas clouds, and other celestial objects… all are moving in a giant rotating motion like a carousel. In this article, you are going to find some of the scientific findings of our revolving planet, the sun, and the universe, and how some verses in the Qur’an sound miraculously relevant to them.

The Earth’s motion

First of all, we have a velocity stemming from the Earth’s rotation. People living on the equator travel approximately a thousand miles per hour in reference to the center of the globe due to this rotation. While people on the poles never gain any distance over 24 hours, people on the equator travel nearly 23,800 miles! Inside a plane, because we move at the same rate as the plane, we cannot feel its speed. In a similar way, since we move at the same rate as Earth, we cannot feel the globe’s movement.

There are many benefits associated with the Earth’s rotation. The delineation of day and night, atmospheric jet streams, oceanic currents, and similar events rise from the rotation of Earth around its axis. For instance, it causes the warm water currents of the Gulf Stream to reach England, generating a warm and rainy climate.

There are verses in the Qur’an that point to the globular shape of the Earth and its rotation around its axis and revolution around the sun:

“He has created the heavens and the Earth with truth. He wraps the night around the day, and He wraps the day around the night. And He has made the sun and the moon subservient (to His command), each running its course for a term appointed (by Him). Be aware! He is the All-Glorious with irresistible might, the All-Forgiving.” (Az-Zumar 5)

Yet another verse furthers this point:

“It is He Who has created the night and the day and the sun and the moon. Every one (of such celestial bodies) floats in its orbit.” (Al-Anbiya 33)

The verb “wrap” is usually used for round objects, and the perpetual arrival of day and night are only possible with a circular planet. The Earth’s rotation leads to different days, on the micro level, and different seasons, on the macro level. The Qur’an concisely summarizes all these physical events with the simple phrase, “wrap the night around the day.”

The Earth’s primary motion is around the sun. We are roughly 93 million miles away from the sun and we make this orbit, which is nearly 584 million miles, every 365 days. According to the center of the sun, our average velocity on this orbit is approximately 66 thousand miles per hour.
In addition, other planets travel around the sun via different orbits and speeds, each moving on a separate plane. For a moment, it is significant to visualize the sun, which is more than a million times larger than Earth, with its planets and other viscera revolving around it via no visible bond between them.

The movement of the sun

As stated earlier, when we travel on a bus, we observe the trees and buildings near the road going backwards even though we are the ones moving. In a similar way, we see the sun as revolving around us, though in fact the Earth is the one moving. In the Qur’an, the chapter of Al-Anbiya, the verse reading, “each running its course,” is about the creation of the sun and moon, clearly pointing to their movements. Unfortunately, the verse that reads, “A(nother) clear sign for them; And the sun runs the course appointed for it for a term to its resting-place, for the stability of it(s system)…” (Ya Sin 38) was misunderstood as the sun revolving around the Earth. However, we know today that our sun is one of a couple hundred billion stars in the Milky Way galaxy. As such, it both rotates around itself and revolves around the center of the Milky Way galaxy, and confirms the miraculous declaration of the truth in the verse.

In addition, the sun also has a secondary movement inside the local star cluster towards a certain direction. We can explain this with an example: the atmosphere is in motion along with the Earth. Each particle and particle set that makes up the atmosphere not only moves right and left, but also has a total revolution around the Earth. The sun behaves in a similar way within the star cluster and around the center of the Milky Way.

How are we going to define the velocity of the sun? We can determine the sun’s speed by referencing a constant point depending on the average velocity of stars in the section of the galaxy that we inhabit. The sun, according to a local constant point, travels towards the shiny Vega star in the Lyra constellation with an average speed of 43 thousand miles per hour.

Apart from their individual movements, the stars in our galaxy also revolve around the galactic center. The velocity of this movement depends on the star’s mass and its distance to the galaxy’s center. The sun completes one loop inside the Milky Way galaxy every 225 million years. It has completed a total of 20 tours around the galaxy’s center since the Earth’s creation. Our Earth, which moves along with the Sun, travels around the galaxy’s center at nearly 492 thousand miles per hour.

The motion of the Milky Way galaxy

Our galaxy is one of the billions of galaxies in known space. Galaxies are the biggest known structures. The universe expands and galaxies move away from each other, conforming to the meaning of the verse, “And the heaven, We have constructed it mightily; and it is surely We Who have vast power, and keep expanding it” (Adh-Dhariyat 47). Our galaxy, along with nearby galaxies, is pulled towards the Leo and Virgo constellations. The cause of this attraction is not understood yet.

Since all galaxies are moving, how can we determine the velocity of the Milky Way galaxy? As is known, the entire universe is filled with cosmic radiation as a remnant of the Big Bang. When this radiation is taken as a reference, the Milky Way travels at around 1.3 million miles per hour.

At the moment, when we think we are sitting in place, we are actually moving around the center of the Earth, sun, our local star cluster, the center of the Milky Way galaxy, and also moving away from other galaxies. We have velocity in relation to all of these movements. The revolution of the universe is also a fact verified by the Divine word: “I swear by the heaven ever-revolving” (At-Tariq 11).

I am sorry, give me a minute.
…

You see, I easily lose my head. So, I need to use medications to balance my mood. Oh my God! That was supposed to be a secret, and it just slipped from my mouth to an admirer. Look, I suspect that once you learn my most-hidden aspects, my reputation with you will be ruined, and you won’t love me anymore. And it really distresses me to have failed your high expectations of an equation like me.

Nevertheless, it is such a heavy burden to suppress one side of mine while constantly showing the other. Yes, being an equation, I am well balanced and very clear about my views. I am one of those lucky theories that have a sound mathematical foundation, and this is why even the psychologists could not suspect a grain of problem due to my childhood. But I am telling you: I am bipolar….

Well, wait a minute! Who are you, and why would I share my secret with you? Go away with your own business, and leave me alone. I mean, I don’t want to disrespect you, but this is my private life, you know! …

No, no, wait, wait… Give me a second… Let me take my medication!

I know it sounds ridiculous if an equation complains of a disorder. How can you be an equation if you have a disorder, and how can you be in disorder if you are an equation? Well believe it or not, that’s exactly what I have been suffering from for such a long time. I am both orderly and disorderly; just like light is both wave and particle at the same time….

Hey, why are you looking at me like that? I told you to leave me alone. It was you who insisted on waiting and learning my secret. I don’t care if your designs are ruined or whatever. Actually, I’m the one who should be blamed. Why did I trust a person whom I met just a few minutes ago? I am like a fish that is eager to eat the worm on the hook. Such an idiot, I am…

Hello? Are you still there? I think I am losing my head again. Where are my pills?

Look, this is not easy for me to do, because in my routine life, people are obsessed with my equation aspect. And, they are passing this obsession from generation to generation. Every time I meet a young brain, my dream to finally meet an unconditioned mind fails. I am always too late to reach the fresh and eager minds. People always manage to find them before me, and instruct them to treat me as a well-established equation. No matter how much I want to show otherwise, they refuse to see my imperfect side, even if the experiments hit them in the face.

Why do they keep doing it? Much like a missionary, they are converting people into the belief of the Bernoulli Equation. I am telling you guys: I am bipolar, and I have imperfections, too!

What am I doing?! You are not going to believe me anyway. I am telling you my deepest secret, and making myself vulnerable as can be, but I still can’t wake you from a dream. You don’t want to wake up anyway; why would you? Do you have any other theory to believe in? Do you have another equation with which to orient yourself in an ocean of unknowns? Go on with your sleep, have nice dreams…

Unfortunately, I don’t have the same luxury as you. My continual tumbling between the two aspects of my reality never allows me to dream… Sometimes, I feel so energetic, so elated. I feel part of everything in the universe, and fall into an ecstasy by realizing that I contain everything in me. And the flow of time stops; we all become one and at peace with each other. No need to rush anywhere, no need to do anything… Just be…

But then my other side kicks in. I feel depressed under the burden of my duties and deadlines. I find myself in an ever faster pace of life, where there is no time to “just be”. There is always an action being commanded; there is always a motivation behind exchanges with others. The universe appears to be made of distinct individuals, like broken pieces of glass. Each is headed to a target of its own, unaware of any union. When life is filled with such a merciless momentum, what is more meaningful than getting rid of my life altogether?

Then, in that gloom, as my dizziness fades, my energetic side starts shining. By virtue of having been created in the same story, I focus on myself to read the universe. I realize that I carry the traits of anything and everything else around me. Once again, I start breathing the life that is gushing forth from me.

As I lose my conscience by getting high in life, I get stuck with the fact that losing my conscience defeats the purpose of being whole. You cannot hold onto the entities whose existence you fail to recognize. I start criticizing myself for disrespecting those around me. I blame myself for being such an addict and a loser; the shame of creation…

You see, there is no end to my ups and downs. As a remedy to these continuous head losses, I am using medications, but they have side effects. I am constantly growing fat, and losing my beauty. I hope one day, someone is going to be inspired with another equation that can take over my duties. Then I can retire from this bipolar life, and be mentioned in the scientific stories as a respectable grandparent…

The Bernoulli Equation given in its simplest form contains a pressure term (P) and a velocity term (1/2 (pV)^2), the sum of which is constant along a streamline:

P+1/2 pV^2=P_0

Thus, pressure and velocity work inversely with each other. As one increases, the other decreases.

The Bernoulli Equation can be derived in two independent ways. First, one can start with the conservation of energy (1st law of thermodynamics), and then follow some assumptions to end up with the Bernoulli Equation. Energy has a scale but no direction, and can be transformed from one form to another. Therefore, everything in the universe can essentially be converted into each other, just like the pressure and velocity terms in the Bernoulli Equation.

The second way to reach the Bernoulli Equation is based on the momentum equation (Newton’s second law). Again using few assumptions, one can achieve the nice and simple Bernoulli Equation. Unlike energy, momentum has both scale and direction. Any changes to this directionality require a forceful interaction between two objects.

Having its base on two fundamental laws of physics, hence reflecting both energy and momentum, makes the Bernoulli Equation one of the strongest and most beautiful equations of science, but not perfect!

The underlying theory of the Bernoulli Equation requires that the density (p) of the fluid be constant – in other words, incompressible. Therefore, the Bernoulli Equation fails to accurately explain the flow of gases at high speeds, which involves density changes. Similarly, the effects of viscosity are neglected in the foundations of the Bernoulli Equation. This means that the variation of pressure and velocity near a solid object cannot be explained by the Bernoulli Equation.

As a result of these imperfections, the Bernoulli Equation describes a fluid as a pile of metal sheets, and explains a flow as the sliding and bending of these metal sheets around each other. Clearly, this is not what a fluid is and not what happens in a real flow. Therefore, predictions of the Bernoulli Equation are inherently wrong, especially when there are sharp turns or obstructions in the way of the fluid.

In order to compensate for some of these deficiencies, a concept known as head loss (hloss) is introduced. Head loss is experimentally measured and then artificially added to the Bernoulli Equation, which then becomes:

P+1/2 pV^2+pgh_(loss,turns)+pgh_(loss,obstructions)+pgh_(loss,wall shear)=P_0

The final result is an equation that is useful but repulsively oversized, and it is certainly not well-established in theory.

While discussions on the education of creation in schools continue, generations grow up with lack of knowledge about the Creator and understanding of His Actions. The current education system in high schools and colleges are giving knowledge about the universe, nature, earth, and life but courses are not directed to understand the Actions of the Creator. How and where can people learn about their Creator? Although there are various means such as the internet, religious groups, and journals, it is not always feasible and enough to understand directly the Creator’s Actions without a good understanding of sciences. Fortunately, every science continuously mentions God with their unique language and speaks of the Creator, but we will need a point of view, windows to see beyond our sight and knowledge, just like we need a microscope to see microorganisms or a telescope to discover depths of the universe. With some attention, everyone can understand what sciences reflect from God’s Actions. That’s why we should listen to what sciences tell us in their own language.

Imagine there is a simulation program to analyze a car crash. In this program, let us say you enter different parameters such as velocity, weight, angle of hit, general structure of the car, hardness of the body, and weather information like wind velocity and its direction and so on. After you click on the OK button in this imaginary simulation program, you almost get the same results with real physical crash tests. This obviously shows us a skillful software programmer and his great knowledge in mathematics and physical events. Noticeably, nature is composed of millions and millions of parameters determining final result just like this simulation program. For instance, when you throw a stone to a lake or into water, first of all it falls down with a velocity and then you see a wave of water expanding to its surrounding from the center affected by that velocity. The velocity of this stone at a certain time and place and wave formation on the surface of water can be explained with some physical laws described with mathematical equations. Whoever put these rules for the physical events also created the universe in a perfect mathematical order. From these and the knowledge we get from computer sciences, physics, and mathematics, we can open windows to understand the ruler of the universe as Glorious Creator.

We are at the time of great advancements in gene technology and huge increase in knowledge about molecular biology; even individual structures of biological molecules are known and many more discovered about cellular mechanisms. The more we learn, the more we face complexity and organization in the tiniest compartments of cell. Cell is no longer a small room filled with a gel-like structure in our minds, it is a massive factory that contains all required machinery and it is automatic, well balanced, and continuously renewed. Things are in constant motion; uptake follows release of substances and signal from outside results in a response produced inside. With increase in understanding of how living things are working and necessity to answer how these things originated caused discussions in scientific research. Some scientists like to talk only at scientific platforms or on so-called testable scientific subjects, but this does not change the reality. We wonder about the beginning and we wish to live forever. We are finite but dream of infinity. How can we think of eternal life if we were a product of something that is not eternal?

Imagine there is a high-tech, but small self-working factory producing highways and trucks to carry items, fuel engines for the energy that can be used in many different processes and containing solar energy collectors. There are great photocopy machines for the production of a new factory, feedback systems to control and repair any problems as well. Without any concern, control of all these events and thousands of machines, engines, highways in such a small sized factory without any problem involves a perfect engineer, scientist, architect, and chemist. Similarly, believe it or not, the cell is an excellent composition of around one million molecules, thousands of machines, and energy producing engines. There are highways, trucks, feedback systems and more in an arranged and fine control in such a small size. Mitochondria, for instance, is one of the most essential cellular organelle and produces ATP molecules as carrier of energy obtained from organic molecules for energy requiring cellular processes. In addition, cellular requirements vary by time and vesicles carry required molecules as cargo on molecular motors using microtubule pathways to different places. Those and many other examples we learn from biological sciences point to the Glorious Creator of the Earth.

When you consider a cell coming into existence by causes other than the hands of a Creator with numerous levels of regulation, coordination of subcellular compartments like organelles, information storage in DNA, and use of this information required for their specific function, it means molecules come together under the effect of natural causes and form an artistic cellular structure in a wise-manner. Actually, this reminds us of a very famous experiment by Stanley Miller to make amino acids, the building blocks of proteins, to demonstrate that life on earth has originated by natural causes and chance. Miller, in his experiment, took molecules which were supposed to represent the major components of the early Earth’s atmosphere and put them into a closed system. He used methane (CH4), ammonia (NH3), hydrogen (H2), and water (H2O) in his experiment and ran a continuous electric current to stimulate lightning storms and to drive these unfavorable reactions. He found that three amino acids have been synthesized in these conditions. Later, it was found that this composition was different from the early Earth’s atmosphere and arguments raised to his experiment due to continuous energy input not possible in nature. However, this was exciting at that time and some used headlines like “Miller created life.” On the other hand, what Miller had managed to synthesize was only a few inanimate lifeless molecules.

People who do not believe in God also do not believe in creation. That’s why they tend to conclude that “nothing is created out of nothing, and nothing goes to nothing; there is only composition and decomposition.” But, the All-Powerful One has two ways of creating. The first way is through origination and invention and the second way is through composition and through art. He creates from out of nothing together with everything necessary for, again, nothing. In the second way of creating, He forms beings from materials of universe in order to show his delicate wisdom, perfection, and the manifestations of His Names. “O people! be careful of (your duty to) your Lord, Who created you from a single being and created its mate of the same (kind) and spread from these two, many men and women…” (Quran 4:1)

When we think about the lessons learnt from these examples and natural sciences with their special focus areas, we realize that every science somehow declare the Glorious Creator of this universe. However, there may not be an opportunity in school to discuss and go deep into the understanding of the Actions of the Creator. With the window of what sciences open to us about God, we can uncover the hidden truths.

Ali Fethi Toprak is a PhD candidate at Southwestern Medical Center, Texas University, Dallas.

One recent example of such phenomena is the Schrödinger equation that explains the behavior of matter at the atomic level. This relation just happens to work, and its derivation is intuitive rather than rational. It also has the simplest mathematical form among its possible competitors in terms of expressing nature.

We will now look at another example of such axiom-like relations that we usually ignore, although it is frequently encountered in our everyday life. Before revealing it as fully as we can, let us relate one situation where this effect is very apparent.

We usually move objects by pushing or pulling them. Suppose now we are on a motorboat and we have run out of gas in a place very close to the shore. We (the strong crew members) surely do not want to be carried away from the shore by the backwash from the waves. One of us has the brilliant idea to push on the sides of the boat until we reach harbor. What would you suggest? Some of us think that it is not a good idea because the boat is very heavy and our pushing will be negligible. It is true that the boat will not move. However, the failure has nothing to do with the weight of the boat. On the other hand, some other crew members suggest using oars, which will obviously work, but why? (Personally, with all my respect to other opinions, I would suggest using the phone to call the beach police to get some help; but this would distract us from our subject matter.)

Impulse, direction, and momentum

If you think about the “why” question above, you will guess that we are talking about impulse in the loose meaning of the word. In physics, impulse has a more precise definition. This definition arose from the need to describe an object’s ability to have an impact on other objects, but the idea is still vague: How do we quantify this ability in order to put some flesh on this notion? Let us try to figure out an answer to this question.

Now, let us consider a few possible ways of defining impulse that look reasonable. We may decide intuitively that an impact should be related to an object’s speed: the higher the speed the greater the impact. If you ever played marbles in your childhood, you will recall that the easiest way to dislodge the marbles in the targeted row is to cast your own marble as fast as you can. Impulse should also have a relation to mass. Certainly, the impact of as many as a thousand bullets aimed at a train will not move the train even a meter. These are some simple observations anyone can experience or have a feeling of from their daily life.

We also expect that this strange quantity should somehow be transferred by the interaction of two objects. One object colliding with another stationary object transfers something that causes the latter to travel in a direction. With this example, another important feature of our impulse idea emerges: direction. Those who like to play the game of American pool or billiards know this very well. (I am sure everyone does it for the noble reason to experiment the laws of physics.) It makes a significant difference in a collision of two masses if they hit each other at an angle.

Wait a minute! We have been talking about the effect of an object’s impact, but the object has something that it is carrying even before the impact, and this “something” is the reason why we have an impact in the first place. So, what is this “something”? Let us call it momentum so as not to violate the traditions of physics.

All this stuff so far is good, but we are not done yet: how should these ideas appear in our equations? Now, let us bring together all our findings. We know momentum manifests itself as the impact (P) of one object on another. From its effect (impulse), we understand that momentum is related to the mass (M) of the object and its velocity (V). We also know that momentum has a directionality, which is termed vectorial. Then, perhaps momentum is something like:

P = a x M + b x V

where a and b are constants. This seems acceptable since it satisfies our observation: the more the mass, the more the momentum. But for a stationary object (V=0), there is no point in talking about impulse; so the axM terms looks unnecessary. If there is no good reason for a physical quantity to appear in a physical equation, then the simplicity principle says it should be removed. Therefore, we look for a simpler alternative relation with only one term like below:

P = c x M2 x V5

where c is a constant. But this one is a highly non-linear relation with exponential terms, so it is really not looking good. Another problem with this equation is that it does not fit our daily experience very well. If we reconsider our train example, with a high velocity power term like this, even the very small bullets can have a considerable effect on a train, enough to move it in fact. As a simple example, let c be equal to 1, take 0.1 kg as the mass of a bullet and 105 kg (100 tons) as the mass of the train, and give 400 m/s velocity to the bullet. Assuming that the impulse of the bullet is transferred to the train (conservation of momentum), we roughly get:

Pbullet = c x m2 x Vb5 = 1011

Ptrain = c x M2 x Vt5 = 1010 Vt5

By equating both sides we roughly get, 1.6 m/s (5.7 km/h) for the train velocity.

A single bullet moving a big train at such speed? This is a very counter-intuitive result. However, we will not give up easily. How about if we try an expression which is more familiar?

P = d x MV2

where d is a constant. This relation also agrees with our intuition (i.e. it has mass and velocity terms proportional to P.) I can already hear some objections from those who are acquainted with physics saying “No! This is the energy formula of a body with mass M and velocity V.” Indeed, this equation is reserved for energy which is a non-vectorial quantity. As a matter of fact, none of the above is a correct description for momentum. The actual expression is, interestingly, the simplest of all possibilities:

P = MxV

So, why not the more complex ones but this, the simplest one? The rigorous answer is subtle and requires a thorough analysis of linearity and homogeneity of space, which could be the subject of another essay. But we repeat the remark that we made in the beginning: if there is a simpler and more beautiful way of describing a natural law, then that description often turns out to be the correct one in the end. In fact, for some giants of physics like Paul Dirac, the beauty of a theory is more important than its results and is a better indication of the theory’s correctness. There is more to it than that. There are whole theories like Dimensional Analysis which are implicitly based on the idea of writing down the equations in the simplest (and most beautiful) form.

So, the final point is that, like other fundamental relations in physics, the idea of impact or momentum is best described in the simplest and most intuitive way: P= MxV. And behold! This gives us exactly the relation that has passed all the scientific tests in the range of classical physics. This result implies that the beauties we see in nature can be explained in terms of the simplest possible physical relation. Pondering all these, one cannot help but ask how in the world a mindless, blind natural law could exhibit beauty based on simplicity.

The role of mathematics in understanding nature

Mathematics is a discipline of thought. It helps to develop our way of thinking and is an exercise in improving our intelligence. Mathematics can be considered as another kind of language, a language very different from that of a spoken language. When it is hard to convey our thoughts in terms of words, or our words become insufficient to express our thoughts, mathematics may be used as an alternative. On some occasions, expressing ideas via mathematics might be more concise, much clearer and more understandable. Although mathematics is considered to be a separate branch of science, in fact it is related to all branches of science. Nowadays, even in biological and social sciences, extensive studies are being conducted using mathematics.

Engineering was one of the earliest application fields of mathematics. It has strong links with mathematics as well as physics. Many engineering problems can be considered as an application of mathematics and hence applied mathematicians and engineers share common research areas. Engineers try to improve the quality of life by designing new products and in the design process, geometry and mathematics play a vital role.

Since the first day of existence on the world, mankind has tried to understand and formulate the surroundings and events that take place around them. They have investigated the world and the cosmos and accumulated knowledge. Each question that was answered yielded more questions to be answered and the more the knowledge that was acquired the better the extent of our ignorance about the universe was understood.

The universe has been established in a very complex orderly manner. The magnificent order observed cannot be expressed well in words, but may also be expressed using mathematics. A person who develops their knowledge of mathematics can understand more about this supreme order. For example, the universal gravitational law, which describes the movement of planets, can best be understood through mathematical equations, while the solutions of the equations yield the well-known elliptic paths. The concept of infinity that is attributed to the Creator can be realized through the concept of infinity that is frequently used in mathematics. So mathematics is an essential tool in developing our understanding of the nature and universe. It is essential also in applying the principles of physical laws in nature to improve our quality of life. The design of an airplane requires extensive mathematical calculations and applications of physical laws.

Finally, it should be noted that mathematics also has its limits, as it is something that has been developed by human beings and may not be sufficient to express the total order and all physical laws. Chaotic motion, a very complex order, was developed recently to understand some phenomena that do not obey the rules of deterministic motion. A daily example of such motion would be atmospheric motion. With even super computers and satellite technology, the path of the hurricane Katrina could not be predicted precisely due to its largely chaotic behavior and these errors cost thousands of lives.

Basic engineering principles and their applications in nature

First, let’s briefly describe some of the fundamental engineering courses and their aims. Dynamics is the science of motion. It models motion, describing the relation among displacement, velocity and acceleration. The specific type of motion and its causes, such as forces, movements, impulses etc. are examined. Dynamics deal with solid bodies while fluid mechanics basically deals with liquids and gases.. In the context of fluid mechanics the rest states of fluids as well as their motions are investigated. The strength of materials deals basically with the design of structures and mechanical parts to loading conditions. Under a given loading condition, what would be the best design for withstanding the loads while using the minimum amount of material? Materials science deals basically with the mechanical properties of various materials and the causes (microstructure etc.) of those properties. Proper selection of the materials to perform the required task is another important issue.

Living organisms can also be considered as some sort of design, but of course they are different from man-made designs. Living organisms, whether they are plants, animals or human beings, are designed to perform a specific predetermined task. The organism has to move, find food, safely operate and resist the forces that act on it throughout its life, and it must reproduce. Therefore, organisms have to be designed (or more precisely created) according to the principles of engineering. The development of technology drew attention to creatures and the underlying engineering principles in their structures. Extensive research on living creatures revealed a clear conclusion: Designs applied in nature are much more sophisticated then the ones humans come up with.

Bernoulli’s principle is a fundamental principle in fluid mechanics. Basically, the principle states that when the velocity of fluid increases the pressure drops and visa versa. The lift force generated in the wing of a plane is explained with this principle. Air separates in front of the wing and reattaches at the back. When the upper surface of the wing is slightly curved and the bottom flatter, the air particles in the upper part travel a further distance at a higher velocity and meet the particles traveling under the wing at the back. The relatively higher velocity on top causes a pressure difference in the lift direction and this lift force balances the weight of the plane. Many applications of Bernoulli’s principle can be found in living organisms. A fish moving in water is a good example. In particular, fish that swim at great speeds, like the tuna, have distinctive body shapes: The mouth of the fish is at the front where the fluid comes to rest and the pressure is very high, making the fluid intake of oxygen easier. The heart is located at the minimum pressure point to make it easier for it to beat. The eyes are located on a precise saddle point, a place which is not affected by velocity changes. Since the pressure is constant for all ranges of velocities, vision is not distorted by movement. Another example is the human body. When one breathes in the fluid velocity in the nose increases and pressure drops. The outer pressure is higher than the inner pressure and the walls tend to collapse. If bones were found at the tip of the nose, they might easily break when excessive force was present. We need some other material to sustain the shape yet be elastic enough not to break down. Cartilage is the best choice in this case, as it has both strength and elasticity. Our ears are also made from the same material. If bones were used instead of cartilage in our ears, resting our head on one side would be painful or even cause damage to the ears.

Insect flight is another important issue and has attracted considerable research recently. Fluid scientists now realize that insect flight is much more developed than our flight techniques. Turbulence is the main issue. In turbulent flow, the fluids move in erratic paths colliding with each other, forming eddies and irregularities. This is a dangerous state, especially for planes, and increases the friction forces between fluid and structure. Therefore the maintenance of a regular flow (laminar flow) over the wings is advantageous. However, all insects benefit from turbulence and some portion of their lift is gained from eddies that are formed over their wings. Mechanical insect robots are built to understand insect flight. Insects have movable elastic wings, but aircraft only have immovable rigid wings. Movable elastic wings would certainly improve the flight of planes and their maneuverability, but extensive research has to be done before these designs can be safely implemented.

The bumps on the fins and heads of some whales are not accidents of nature. They were given to them by the Creator for some very special purposes. They decrease the friction (drag) force by 10% and increase the lift by 5%.1 When some have the effect of decreasing drag, they can also decrease lift and visa versa. This effect of both decreasing drag and increasing lift, which can be observed in whales, is very uncommon in fluid mechanics.

Streamlining is a very important issue for an object that moves in a fluid. Fluid particles move around an object that follows a path. Roughly speaking these paths are streamlines (in a steady motion) and it is a general rule that abrupt distortion of these streamlines should be avoided. Smooth changes in the streamline help to reduce the friction force between the object and fluid. All organisms, particularly those that move at greater speeds, have been created in accordance to streamlining principles. In these you can find many species of birds and fish, such as dolphins, sharks, whales etc. The friction reduction caused by the shape of a dolphin is still a controversial issue in science and the underlying mechanism has not yet been well understood.

An example of the strength of natural materials can now be given. Our bones are optimum structures, combining strength with lightness. In modern buildings, 60-70% of the buildings consist of the skeletons, which carry the loads and moments. In our body, our skeleton is only 1/7th of our body weight. Bones have inspired a new generation of lightweight structures. For instance, a bridge inspired by the backbone was recently designed.2 When a longitudinal cross-section is taken from a femur, some curved lines are observed. Recent numerical simulations revealed that these lines are to be found in one exact place and their configuration increases the strength of the bone. Our backbone and the muscles around it withstand very high loads, equivalent to 7,000 Newtons or approximately 700 kilograms of weight.3 The bones of mammals are hollow inside to increase strength. The inner to outer ratio of the radii is at the optimum range, between 0.4 and 0.7.4

Hardness is another important issue in some applications. Seashells are the leaders in this issue. Their microstructures are being investigated under electron microscopes to invent new materials with extreme hardness properties. Micro-cracks inside a material grow over time, finally leading to failure. This is a major problem in turbine blades and this phenomenon is responsible for some plane crashes. In seashells, micro-crack inhibiting mechanisms are inserted to prevent crack growth. Inspired by spider silk and the microstructure of bird feathers, a new generation of bullet-proof waistcoats has been developed.

Owls are very silent flyers; they need to be so in order to approach rodents as rodent ears are highly sensitive to sound. Recent investigations have shown that the special geometry of their wings results in this silent flight. Their feathers are placed to form fringes on their wings. The technology might be mimicked to reduce the noise generated in planes.5

A recent engineering discipline is robotics. There are industrial robots, which are designed to perform some very special tasks. But there are also robots inspired by living organisms. A new robot is designed to mimic caterpillar motion so that it can be stable enough in a hazardous region, pass through small gaps and detect humans who are alive under debris.6 By mimicking the motion and body of a scorpion, a military robot was designed with a camera and sensors to safely operate in a battle region.7 Of course there are human-like robots that are designed to mimic our motion and activities. The developments in robotics teach us a very important lesson: All animals are much more sophisticated in their locomotion, actions, and behavior and it is extremely hard to mimic those. A robot that can move freely like a cat and climb a tree yet maintain its balance has not yet been produced. Our robots are very slow in motion, and their stability in movement is an important technological issue that requires extensive sensors and control designs.

Newly developing engineering branches

As mentioned above, one of the newly developing branches of engineering is robotics. Day by day, better robots are being designed and those designs try to better mimic animals and humans. Some 50 years ago, a human walking might be considered a simple issue, but now we know that comfort in walking and excellent balance in such movement are very complex issues.3 Each new design in robotics adds to our knowledge of understanding animal locomotion and behavior and how miraculous their designs are. Some people think that robots may take control of the world in the future. Yet this is simply not possible: If humans are to design them, there is no way that such machines can be superior to the designers.

Other promising new fields are the MEMS (Micro-electrical machinery systems) and nano-technology. These are design attempts on extremely small scales which actually mimic some micro biological systems and micro-physics. A vertebrate consists of an enormous number of cells, while the chemical and physical events that take place inside the cells and their establishment as a system are crucial parts of staying alive. It is extremely hard to design at the micro and nano scale and it is likely that research in this field will reveal more about understanding the art of God.

Notes

1. M. Le Page, “Speed Bumps Give Humpbacks a Surprise Boost,” New Scientist, 13 January 2001, p. 22.
2. I. Sample, “A Bridge with Backbone,” New Scientist, 16 September 2000, p. 7.
3. R. Mc Neill Alexander, The Human Machine, Colombia University Press, 1992.
4. R. Mc Neill Alexander, Optima for Animals, Princeton University Press, 1996.
5. C. Seife, “Deadly Hush,” New Scientist, 6 march 1999, p. 10.
6. C. Zandonella, “Wriggle into Rubble,” New Scientist, 10 November 2001, p. 22.
7. D. Graham-Rowe, “Walk Like a Scorpion,” New Scientist, 21 April 2001, p. 18.