Posted in Science & Nature

Rainbow

Rainbows have been associated with wonder and the heavens throughout the history of humanity. The Norse believed that the rainbow bridge, Bifröst, connects the realms of men and gods. The rainbow is mentioned in the Bible as a sign from God to signify to Noah that the flood had ended. Irish leprechauns are said to hide their pots of gold at the end of a rainbow. It is now adopted as a symbol for LGBT movements, symbolising diversity.

The massive scale and brilliant colours of a rainbow is awe-inspiring (famously captured in the Double Rainbow video). We now know that it is the result of sunlight interacting with water droplets: reflecting, refracting and dispersing.

Sunlight refracts (bends) as it enters the droplet. It then reflects off the inside wall of the droplet and refracts once more as it exits. Because each wavelength refracts slightly differently, light disperses and each colour can be seen separately, much like a prism breaking apart white light into colours.

Because of water’s refractive index being constant, the returning light is most intense at 42°, making the rainbow always form in a circle with an angular radius (angle of light compared to your eyes where a circle is seen as a specific diameter) of 42° surrounding the point opposite the sun. If you are standing exactly at this spot with the sun behind you, you will see a beautiful rainbow. Otherwise, the rainbow disappears.

Angular radius can sound like a complicated concept, but in this case, it results in something quite interesting. To capture a full rainbow with a camera, your camera lens must have a field of view (cone of light that the camera will photograph) of 84°. Most smartphone cameras have smaller fields of view than this (iPhone X has a 65° horizontal field of view for instance), meaning that it would be impossible to capture all of the rainbow in one photo.

Another impossible thing when it comes to rainbows is finding the mythical pot of gold at the end of a rainbow. Because rainbows are the result of optics, they are different to every observer and how they are positioned to the sun and water droplets. This means that no two people observe a rainbow in the same way and a rainbow is not static.

You can also never approach the rainbow as it will disappear given the angular radius mentioned above.

Furthermore, there is no end to a rainbow because it is actually a full circle that extends through the horizon. We cannot see it as there is ground between us and the rainbow, but you can sometimes see a ring rainbow from a plane.

However, because the rainbow is technically just light from the sun bouncing off water and into your eyes, we can imagine it not as a circle, but a double-ended cone that ends in your eyes. By this logic, your retinas that sense the rainbow (and by extension, you) are the pot of gold at the end of the rainbow.

The End of the Rainbow
(Image source: https://xkcd.com/1944/)

Posted in Life & Happiness

Identity Crisis

A common set of questions we get asked are: “What do you want to be when you grow up?”, “What do you do?” and “Can you tell me more about yourself?”. These questions are essentially asking how we identify ourselves and what kind of identity do we want in the future.

If you were asked “who are you?”, how would you reply? Many people would identify with their occupation, such as a doctor, musician, software developer or actor. Some people define themselves by their relationship, such as a mother of two. Another common source of identity is your accomplishments and success, such as celebrities, a popular author or world-class athlete.

But what happens when our identity is shaken? For example, what if you identify as an author who published an immensely popular, critically-acclaimed book, but you can’t write a book good enough to follow it up? What if you are the best swordsman in the realm and you lose your hand? What if you identify as a mother, but your children are now grown up and have left you in an empty nest?

The problem with hinging our identity on one thing is that it makes us vulnerable to having an identity crisis when that thing will inevitably change.

Life has a tendency to be unpredictable and can easily throw the rug from under our feet at any minute. If this happens and all of our proverbial eggs are in one basket, it leads to a devastating blow to our sense of self-worth. Focussing our identity around one factor of our life would be as silly as investing all of our money in a single stock.

To solve this issue, we should treat our identity like any other investment: diversify your identity.

You are not “just a(n)” anything, because you are so much more complicated and multi-faceted than that. You can be a lawyer who also makes pottery and is a loving wife. You can be a mother who is also an amateur pianist that cooks well and is passionate about photography. You can be a successful internet celebrity who also happens to be an avid member of a board game community and loves playing tennis with his flatmates in the weekends.

The trick here is to find different sources for your identity. Identify yourself not only with your job and success, but also with your relationships and passions. Be mindful that most things in life are transient, whether by choice or not. That way, when we are forced to give up a part of who we are, our identity will still hold its shape so that it can heal with time, to form an even more complex and interesting identity.

(Image source: https://thegorgonist.tumblr.com/image/169169068294)
Posted in History & Literature

Totalitarianism

People take interest in ants for many reasons. Some people are fascinated by how ants have achieved what they deem a perfect totalitarian system. In fact, if you observe it from the outside, an ant nest appears to be completely harmonious as everyone works the same, everyone focuses on the good of the whole and everyone is prepared to sacrifice themselves. But humanity has failed in every attempt at totalitarianism up until now. The Egyptians, Greeks, Romans, Babylonians, Carthaginians, Persians, Chinese, French, British, Russians, Germans, Japanese and Americans all experienced an age of glory and appeared as if the world would be assimilated into them, but fortunately a tiny grain of sand would always fall and destroy their unified systems.

This is why there are people who try to imitate insects who live in hive societies (consider how Napoleon’s insignia was of a honeybee). If what unifies an ant nest’s thoughts into one is pheromones, then modern society’s worldwide media does the same function today. People always suggest something that they believe is good and expect others to follow it. They believe that this way, we will achieve a perfect human society one day. But this is not the way of the universe.

Nature, unlike what Darwin suggested, does not evolve so that the fittest survive and rule (and what standard could possible differentiate “fit” and “undesirable”?). Nature’s powers lie in variation. In nature, there are good, evil, insane, devastated, lively, ill, deformed, demented, happy, depressed, intelligent, foolish, selfish, generous people and big, small, black, yellow, red, white things etc. They must all exist. If there is one danger in nature, it is when one group is destroyed by another group.

If there is a field of corns and only the corns that have the “best” traits (i.e. require the least water, stand cold weather and produce juicy corn) are used to pollinate, then the entire crop can be wiped out by a single disease. Contrastingly, a wild crop with individual corns having unique traits with varied weaknesses and differences can survive diseases as the corns find a way to beat it among the many different traits.

Nature hates standardisation and loves diversity. It is through diversity that nature exerts its original abilities.

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(from The Encyclopaedia of Relative and Absolute Knowledge by Bernard Werber)