This lecture note will make your life ten-fold easier in the scope of the problems it addresses. Consider it a talisman. I discovered this a couple of weeks ago when I was solving these problems for my own conceptual understanding. So I waited till I can completely enunciate the big picture. When I confirmed that its valid for all the following problems I made this note and sharing with you.
Gravitational Anomaly: (asked by a student for very simple explanation)
Basically it means the new laws of physics known as Quantum Mechanics invalidates the sanctity of nature’s principles or laws (that is QM brings exceptions to the validity of the physical laws of nature itself)
Let us discuss this in simpler ideas from the basics only.
Remember the most basic physics, that of principle of conservation of energy and the principle of conservation of (linear) momentum.
In the more rigorous formalism of physics these two principles emanate (that is derivable) from two ideas of symmetry. In-fact every conservation principle of physics are manifestations of a corresponding principle of symmetry and vice-a-versa (also every symmetry must correspond to a conservation law). This general idea of connection between conservation laws and symmetry is collectively known as Noether’s theorem and is a central underpinning in all of today’s conceptual physics.
Some technologies are designed to fail you, so that you will want more and more of them, and you will be prepared to pay higher prices.
Laptops and girlfriends come to mind.
Lets just discuss the laptops. I originally intended the wrote up as a two line joke, which are not allowed in our civilized world, perhaps because we do not know how to deal with such, so let just go and discuss the laptops. You can replace that with anything of your choice. Lets say blogging is a technology invented to keep us busy and less harping about our day today problems and let capitalism has its sighs of relief.
The prices I have paid for my laptop, if I had saved them, I could have easily purchased a hatchback, in today’s time. Believe it or not. But the same laptops are now available at mere 30000.
A long and technical discourse on Quantum Wave Function. A 64 slide presentation styled discourse on the Quantum Wave Function. It consists of detailed solution
Now that I could lean back I guessed the answer for this puzzle after reading it a couple times mindfully. I think the answer is August 17. WHY? I will explain in detail. But first of all the answer I came across here (in NY Times) is obviously misleading and incorrect. They give July 16 as the answer, but their method is wrong because they eliminated both May and June and there isn’t enough information for such a step. What they should do is eliminate May 19 and June 18. Because these two dates (18, 19) are not duplicated in the list of dates.
Once they did so it would be clear from the conversation between Albert and Bernard that June 17 could also be eliminated. Because since Albert knows that June 18 and May 19 are not good candidates for DOB, neither can June 17 be. If June 17 was the date he would not claim “I don’t know the date of birth” because he already knows the month and there is only one date in this month that is June 17.
But all of them are not stable. We have made great strides in understanding them collectively called as standard model of particle physics which involves electroweak and strong interactions. Its a weird mess of beautiful list of particles and their behavior toward each other. Sometimes there is symmetry breaking sometimes there is symmetry and sometimes there is confinement.
What such an astounding theory backed by the most swashbuckling experimental measurements have meant is there are only countable number of stable particles.
Let’s begin counting out of 100s electron, proton, photon and neutrinos … That’s it. End counting.
It explains almost everything we see around us. The matter. If we are to see dark matter we would be explaining that as well. But hold your breath we haven’t seen that so far.
Since almost everything we have seen are so unstable we wouldn’t be created.
But the very few stable particles made atoms possible and the atoms made life possible.
Here is how the atom is possible.
The neutron guy is not very happy as its not stable. It met proton on a blind date and they got