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Einstein’s Theory of Dimensions: When the Universe Gets Weird

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Albert Einstein was the kind of guy who looked at the universe and said, « You know what?

This isn’t complicated enough. Let’s add some extra dimensions. » Okay, maybe he didn’t say it exactly like that, but his theories about space, time, and dimensions definitely revolutionized our understanding of the universe, not just by redefining gravity or explaining the behavior of light, but by introducing a radical new way of thinking about space and time. I know you might not be familiar with some of the boring and complicated terms I mentioned so..let’s keep it fun and relatable. No dry physics lectures here, just a cosmic adventure that even your pet might enjoy.

Before Einstein, space and time were considered separate entities. Space was the static stage where events unfolded, and time was the universal clock ticking away in the background.

Einstein’s Special Theory of Relativity (1905) changed all that. He proposed that space and time are not independent but are interwoven into a single continuum called spacetime.

This idea blew everyone’s minds. It also explained why your GPS works and why you can’t travel faster than light.

Einstein’s General Relativity theory took things to the next level. He said gravity isn’t just a force, it’s the result of spacetime getting warped by massive objects. Imagine spacetime as a trampoline, and planets and stars as bowling balls. When you plop a bowling ball on a trampoline, it creates a dip. That dip is gravity. So, when you trip and fall, blame it on the cosmic trampoline.

But here’s where it gets really wild: Einstein’s equations suggested that spacetime isn’t just a flat trampoline. It’s more like a multidimensional quilt, stitched together with threads of space and time. And sometimes, those threads get tangled in ways that make your brain hurt.

Okay, let’s talk dimensions. We all know the basics: length, width, and height. That’s three dimensions. But according to Einstein, time is the fourth dimension. Time isn’t just something you waste scrolling through memes; it’s a fundamental part of the universe’s fabric.

Think of it this way: if you’re sitting on your couch, you’re not just occupying a spot in space (your living room). You’re also occupying a spot in time (Tuesday night at 8 p.m.). So, you’re a four-dimensional being, whether you like it or not.

Einstein’s theories opened the door to the idea of higher dimensions. Some physicists, like those working on string theory (which is the idea that the universe is made up of tiny, vibrating strings, kind of like cosmic spaghetti where the way they wiggle determines the fundamental forces and particles we see), think there might be up to 10 or 11 dimensions.

Yeah, you read that right.

We’re talking about dimensions so weird, they make time travel look like a walk in the park.

Here’s a fun way to think about it: Imagine you’re a flat, two-dimensional character living on a piece of paper. You can move forward, backward, le?, and right, but you have no idea what up or down means. Now, imagine a three-dimensional being (like a human) picks up your paper and folds it. To you, it’s magic. To them, it’s just origami.

Higher dimensions are like that. They’re places where the rules of our 3D world don’t apply.

Gravity behavior for example,In our 3D world, gravity weakens with distance, but in higher dimensions, it could behave differently, potentially allowing for stronger gravitational effects over larger distances or even leading to phenomena like gravity « leaking » into other dimensions. “Particle properties” is another example;In higher dimensions, particles might have additional properties or states that don’t exist in our 3D world, a particle could exist in multiple states simultaneously or have different mass depending on the dimensional configuration. Who knows, maybe there’s also a dimension where Mondays don’t exist.

One of the coolest ideas to come out of Einstein’s theories is the concept of wormholes. These are like cosmic shortcuts through spacetime, connecting two distant points in the universe. Think of it as the universe’s version of a teleportation pad. The problem is ;wormholes are probably unstable, and they might collapse faster than a soufflé in a earthquake. Plus, no one knows if they actually exist.

You might be thinking, « Okay, this is all fun and games, but why should I care about dimensions I can’t even see? » Fair question. Here’s the thing:

understanding dimensions helps us figure out how the universe works. It’s like solving a giant cosmic puzzle, and every piece we find brings us closer to understanding the big picture. Plus, it’s just plain cool. Knowing that there might be hidden dimensions out there,places where the laws of physics are completely different,makes the universe feel a little more magical. It’s like finding out your boring old closet is actually a portal to Narnia.

Einstein’s theories remind us that the universe is way stranger,and way more awesome,than we can imagine.

Dimensions aren’t just for math nerds;they’re a reminder that reality is full of mysteries waiting to be explored. So, the next time you’re stuck in traffic or waiting in line at the grocery shop, just remember: you’re a four-dimensional being in an 11-dimensional universe. And if that doesn’t make you feel a little more epic, I don’t know what will.

 

Written by Eya Chebbi

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Why is Predicting The Future Mathematically Impossible?

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The success of classical physics, particularly Newton’s theory of gravity, induced the excitement of several scientists at the beginning of the nineteenth century. For instance, it led the famous French scientist Pierre Simon Marquis de Laplace to argue that the universe is completely deterministic. Laplace suggested that there should be a certain set of scientific laws that allow us to completely predict the state of the universe, past and future. For example, knowing the current state of the sun and the planets, allows us, according to Newton’s laws, to completely predict the next states of the Solar System at any other time. But Laplace went further to assume that there are broader and more general unification laws that allow us to predict everything at every time, including the human behaviour.

The British scientists Lord Rayleigh and Sir James Jeans published a paper called « LIII. Remarks upon the law of complete radiation . » in 1900, in which they suggested that a hot particle, or a system of particles, such as star, must radiate energy at an infinite rate. At that time, according to the laws we believed in, a hot¹ body ought to give off electromagnetic waves, such as light, equally at all frequencies. For example, a hot body should radiate waves with frequencies between one and two million million (one and 12 zeros after it) waves a second. Since the number of waves a second is unlimited, this would mean that the total energy radiated would be infinite. This result is evidently repugnant as it violates the very basic laws of physics.

In order to to avoid this this ridiculous result, the German scientist Max Planck, after few months, argued that light cannot be arbitrarily emitted but can only be emitted in packets of energies, which he called quanta, that is defined by his famous equation, see equation 1:

ρν𝑑ν = 8πν2𝑑ν 𝑐3 𝐸.

Implications for the scientific determinism were not realized until 1926, when another German scientist, Werner Heisenberg, published a paper « Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik »

(On the Perceptible Content of Quantum Theoretical Kinematics and Mechanics), in which he formulated his uncertainty principal. In order to determine the position and the velocity of a particle, one has to calculate their position and velocity precisely. One obvious way to do this is to shine light on the particle so that some of the electromagnetic wave can be scattered by the particle. However, in order to determine the precise position of such small particle, one should use smaller wavelengths. However, according to Planck’s theorem that I stated earlier in this article, one cannot emit light arbitrarily but at least a quantum. That would increase the particle’s energy hence accelerate it. This leads to the core definition of the Uncertainty Principal which states that the more accurate you determine the particle’s position, the less likely you calculate its velocity and vice versa. This can simply be described by Equation 2 where the product of the difference in position and the difference in momentum² is always less than half of the reduced Planck constant h.

Δx Δp ≥ ħ/2

 

This shatters the Laplacian dream of having a completely deterministic universe, hence predicting your future, given your initial state, is mathematically almost certainly unrealistic.

 

Glosses:

¹hot: a hot body or particle is a system that contains high levels of kinetic energy, they are moving at high speeds which leds to what we think of as heat

 

²momentum: the momentum is a physical value that is equivalent to the force required to bring the object to a stop in a unit length of time. It is the product of the mass and the velocity: p=mv

 

Written by Iheb Gafsi

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