Showing posts with label quantum. Show all posts
Showing posts with label quantum. Show all posts

Wednesday, 24 February 2021

What is relativity? Is Einstein wrong?

In 1905, a Swiss patent clerk shook the seemingly well-established foundations of physics with four groundbreaking papers – one proving the existence of atoms, another proving mass-energy equivalence, another proposing ‘energy quanta’ and a final one on relativity. This patent clerk was Albert Einstein, and he had just disproved the several century-old papers of Isaac Newton; proving time was not absolute, but relative, and that Newton’s law of universal gravitation was incorrect. Einstein had effectively paved the way for modern physics to progress, but could he have been wrong? 

Newton

In the 17th century, Isaac Newton devised the law of universal gravitation; put any masses anywhere in the Universe, a fixed distance apart, and you will know the gravitational force between them. At the time this explained everything from the terrestrial motion of cannonballs to the celestial motion of comets, and stars, as well as objects on planet Earth, and this law’s predictions matched every observation or measurement that had ever been made for almost two centuries until physicists noticed a flaw they could not explain – Mercury’s orbit, which was completely different to the other planets’ orbits in our solar system, as the orbits of planets shifted over time, and Mercury’s orbit shifted so much faster than Newton predicted. This was a flaw that no physicist at the time would dare challenge, as Newton’s ideas had been well established for centuries, and he was considered to be absolutely correct. Newton also devised that time was absolute, claiming time exists independently and progresses at a consistent pace throughout the universe. Despite both of these ideas being flawed and disproved several centuries later, we still use them for certain calculations, such as for rocket launches.

Einstein

In the early 20th century, however, the young Albert Einstein devised several new ideas which contradicted the ideas of Isaac Newton and also provided an explanation for Mercury’s pesky orbit around the sun. Instead of exerting an attractive force like Newton, he argued that each object in our universe curves the fabric of space and time around them, forming a sort of well that other objects (and even beams of light) fall into. A great way of understanding this is through picturing the sun as a bowling ball on a mattress. It creates a depression that draws the planets close. This effectively had solved the Mercury problem - the sun curves space so it distorts the orbits of nearby bodies, including Mercury. This claim was verified through the observational Eddington experiment in 1919, whereby physicists measured the gravitational deflection of starlight passing near the Sun and saw that the values obtained from this experiment matched Einstein’s values in 1905.

Einstein also successfully proved the existence of the atom through the usage of the kinetic theory of gases, as well as receiving help from Jean Perrin’s Brownian motion experiments which verified Einstein’s claims. Using Max Planck’s work, he also successfully devised the photoelectric effect, which proposed that there is an emission of electrons when electromagnetic radiation, such as light, hits a material. And perhaps his most famous proof of all – mass-energy equivalence, which brought about the famous equation E = mc^2 (where E = energy, m = mass, and c = speed of light) – since mass and energy are equivalent, we can use this equation to calculate the amount of energy, as Einstein states that “all objects having mass, called massive objects, also have corresponding intrinsic energy, even when they are stationary”.

Thanks to all of these, we have been able to predict how much energy will be released or consumed by nuclear reactions, have been able to create the atomic bomb, GPS and other modern electronics as well as the age of stars, the distance to the stars. Einstein’s contributions to science, as well as to our society, have been astronomical.

Now, what if Einstein was wrong? Centuries before Einstein, we believed that time was absolute; that there was an audible tick-tock throughout the universe, but just over a century ago we learnt that time was relative – surely we can apply the logic that in a couple centuries, Einstein too, would be incorrect about much of his work just like Newton was? 

We, physicists, have already started to notice errors in Einstein’s work, although general relativity is still a very well confirmed theory. General relativity, as stated earlier, predicts that light bends around massive objects, and predicts that the universe should be expanding; that black holes exist, that time runs more slowly in certain gravitational potentials, and so on, all of which we have observed and know are facts. 

However, it does not fit well with another well-confirmed theory – quantum mechanics. Particles obey Heisenberg’s Uncertainty Principle, and so can be in two places at the same time. If we have two slits and shoot a particle towards it, quantum mechanics tells us that the particle will go through both slits. But thanks to Einstein, we are unsure as to which direction this particle will subsequently go after travelling through both slits at the same time due to the gravitational pull.

Aside from the double-slit problem, there are several other issues. One is with singularities in general relativity – a singularity is a place where both the energy-density of matter and curvature become infinitely large, such as with black holes and the beginning of our universe. It has been quite well established that this is flawed and that there is a more fundamental theory to replace it – quantum gravity. Another reason is that if we combine quantum theory with general relativity without quantizing gravity, we find that black holes will slowly shrink by emitting radiation (known as Hawking radiation thanks to the discovery of Hawking), suggesting that black holes can entirely vanish by emitting such radiation. This radiation emits only temperature and no other information, so we cannot possibly know what formed the black hole, ergo general relativity cannot fit with quantum theory.

If we are indeed incorrect, then we would have to ‘recalibrate’ everything we have come to know thanks to Einstein, such as GPS and the age of stars, as well as the other discoveries stated earlier.

We are constantly progressing in science and as a society at an incredible rate, and much of what we believe today will most certainly be disproved in several centuries, if not decades; religion, cancer, blindness, death, violence; all may become things of the past thanks to our work in physics. 





Thursday, 13 August 2020

CASIMIR EFFECT AND HAWKING RADIATION

CASIMIR EFFECT AND HAWKING RADIATION

What is the Casimir Effect?

In 1948, a Dutch Physicist Hendrick Casimir came up with a method to detect a tiny force caused by zero-point energy or also known as vacuum energy exerted by virtual particles. To understand this phenomenon, imagine a rigid reinforced crate with a vacuum inside of it, so that you would expect for there to completely nothing within the crate. Now add 2 parallel mirrors about 100 atoms apart from each other into the crate. The result of this experiment is that the two mirrors miraculously end up moving towards each other, clearing the gap that was previously put between them. This strange behaviour completely questions our understanding of vacuums and whether vacuums are quiet and empty.

What is causing this strange behavior?

In order to explain this phenomenon, we must look carefully at Werner Heisenberg’s uncertainty principle, which states that you may not know both the position and momentum or the energy and duration of a subatomic particle to great accuracy (Δx Δp ≤ /2, ΔE Δt ≤ /2). So as our values for these variables tend towards zero the uncertainty also tends toward zero and hence according to the uncertainty principle particles cannot have both zero energy and zero duration, leading to the fact that particles which do not exist have a great chance of coming into existence for a short period of time from quantum vacuum fluctuation.

 These “virtual” particles occur in annihilation pairs (antimatter and matter particle pair) and very quickly eliminate each other or if you think of them as waves, they destructively interfere, cancelling each other’s amplitudes out, which has been proved by Einstein’s equation E=mc^2 and Planck’s constant, which lead to showing that particles can be modelled as waves with wavelengths by De Broglie . Due to the fact that waves can have an infinite amount of wavelengths, we know that there can be an infinite amount of different waves in open space but in our crate, they must be a form of a standing wave and harmonics of that a standing wave (which is still infinite) in order to exist between our mirrors.

There is a greater probability of having more particles on the outside of the mirrors than in between the two mirrors and these particles can collide with the mirrors exerting a force on the mirrors. As there is a greater net force pushing the mirrors together than the force pushing them apart, they come together.

However, when attempting to calculate the mass and energy of these particles, a lot of infinities were calculated so mathematicians had to result in renormalization, which pretends that these infinities do not exist. This effect is extremely useful in explaining Hawking radiation.

What is Hawking radiation?

After it has been detected that black holes emit radiation and shine, Steven Hawking attempted to prove that black holes do not shine and instead proved the opposite, by combining laws of quantum mechanics and general relativity and found out that stuff can escape near the event horizon of a black hole and that black holes do shine.

If an antimatter and matter particle pair is formed close to the event horizon, there is a chance of one of the particles getting sucked in by the black hole and the other one escaping so that they can no longer annihilate each other. This escape particle has an energy that we can detect as Hawking radiation. You would think that this violates conservation of energy but as from our point of view, this escape particle has positive energy meaning that the black hole must have gained negative energy, which is the same as the black hole losing mass, which is equal to losing energy, so that ultimately energy is conserved and the energy of the escaping particle is interestingly due to the black hole losing mass.

Black Hole Explosion

This phenomenon can lead to black holes being drained and decreasing in size. Hawking proved that as black holes evaporate by gaining negative energy, they increase in temperature so that the smallest black holes are the hottest ones. As the black hole’s mass decreases to zero, a powerful explosion of gamma rays will occur, which subsequently causes the most powerful eruption to ever be detected. This knowledge of black holes is due to the proof of vacuum energy by Hendrick Casimir and the Casimir Effect.

Saturday, 9 February 2019

Quantum Theory and the Nuclear Atom

Quantum Theory and the Nuclear Atom.

There are two ways of finding what atoms or other small particles are like. One is to fire something even smaller at them and see how they break up or how the projectile bounces off of them. The other is to shake them about (giving energy) and seeing what comes out. 

PROBING THE ATOM WITH ALPHA PARTICLES

The initial method was used for a productive experiment in 1909. Alpha particles of a radioactive source were fired at a thin film of metal atoms. This was called the Geiger-Marsden experiment; some particles bounced back at angles, which meant that they had hit something smaller and with mass. From this Rutherford ( a physicist) worked out in 1911 that an atom has a positive nucleus surrounded by negative electrons. He suggested that electrons could be orbiting about the nucleus like planets around the sun. However, such an atom would not be stable; an orbiting electron, like an orbiting planet, has an acceleration directed towards the attracting object. An accelerating electron continuously radiates electromagnetic waves, so should lose energy and spiral into the nucleus.

Rutherford's model was saved in 1913 by Danish physicist Niels Bohr. He used the unique quantum ideas of energy, saying that the electron could have only certain 'allowed' energy states; with definite energy gaps between them corresponding to definite orbits. So electrons could not lose energy continuously and spiral into the nucleus. Electrons could only move between the orbits by gaining or losing definite, set quanta of energy. 
This did indeed seem a very far-fetched idea at the time, but Bohr backed it up with calculations of how much energy an atom could gain/lose and matched this with the energy of the light quanta it had emitted. 

Bohr did not explain why the electron couldn't fall into the nucleus. This had to wait until a later version of quantum theory.

"A physicist is just an atom's way of looking at itself."  
- Niels Bohr.

What is relativity? Is Einstein wrong?

In 1905, a Swiss patent clerk shook the seemingly well-established foundations of physics with four groundbreaking papers – one proving the ...