Some Things That Fly - Part 2

• Running Down a Dream
• Running From It
• Running For It
• Standing Your Ground
• Not Backing Down
• Respecting the Things You Don't Understand
• Understanding the Things You Don't Respect
• Loving It When a Plan Comes Together
• Not Doing the Things You Do
• Counting the Waves
• Turning Your Back On The Crowd
• Daybreak

Another Day Of Getting Older..

Lucky Ali's in his album "Aks" start off with a croony : "Yeh, sawera chale, jaise milne aa gaye mujhse sab dost mere ." Occasionally I wondered how would I react if such a thing happened. I came close to it when most of my friends either called up or wrote emails on this particular day. The last known such constellation of "dosts" was for my graduation when we had a rocking time after which slowly one after another returned home to India. The official count of people who didnt return in my orbital is 2 (including myself). We all could trade a little growth for happiness is the lesson that I learnt from them.

Dad took me by surprise when he found an old manuscript where I was taking some survey notes on Casimir Effect. It was a nice gesture from him taking the time to exactly reproduce it (including my typos/spelling mistakes). Since he sent it to me electronically I wanna store it somewhere like this blog. Its a lot of work considering all those subscript/superscript/greek symbol stuff.Here it is

Most people think vacuum is place where there is absolutely no matter, a place that contains absolutely nothing. However such a thing is impossible. So a vacuum is actually where there is very little matter . A good vcuum means almost lack of air, dust and other samples of matter. Note the keyword here almost. But one theory which caught up in 1970s was the Universe can be considered as a vacuum fluctuation. It states that the Universe and everything in it may be no more or no less than than one of those vacum fluctuation that allow collections of particles to burt forth out of nothing fo a while and then be reabsorbed into the vacuum. This idea closely comes on the heels of the idea that the Universe may be a closed system. A Universe that is born in the fireball of Big Bang,expands for a time and that contracts back into fireball and disappear is a vcuum fluctuation on a grand scale.

We know that the gravitaional energy of the Universe must be negative (i.e becase it is bound). So this negative gravitational energy must precisely cancel out the positive mass energy of all matter in it.(E=Mc²)). Hence a closed Universe has a Zero energy overall. This idea can be traced out to 19th century Physicist Ludwig Boltzmann,one of the founders of statistical mechanics. He guessed that the Universe ought to be Thermodynamical Equilibrium,(which it is not when created.) So its present form is temporary stage on the way to reach it which is allowed by statistical rules provided that ht e equilibrium is maintained on average in the long run. In 1971 Edward Tryon of city Univarsity of New York submitted a paper in Nature (vol.246,P396,1973)where he developed an Idea that Big Bang as a vacuum fluctuation,but he pointed out there the time allowed for its existance in line with delta(e) delta(t) = h/2*pi can be a very long time indeed.This concept finally led to baby universes "inflation"& concepts such as these. from "70s we re used to this idea. But this notion is not based on any definite model of what a quntized field system is and hence the present approach which is based on Hamilton-Jacobi formalism leads to very different picture. V.field: In this formalism the vacuum is a non co-variant concept.i.e It will be observed that the field is static.(i.e. this is valid only in a preferred Lorenz frame.)But no experiment abiding by the quantum theory can find a frame in which vacuum field appears static. Though unobservable,the concept of vacuum is helpful in understanding the physics of Quantum field theory. It is similar to the ether concept in physics in which Einistien pointed out that ether is compatible with special relativity if we deprive it of any mechanical qualities.When quantum mechanics is applied to a radiation field by Born,Heisenberg&Jordan the out come was

e(ns) =(ns + ½)h עs

where ns=0,1,2 gives the spectrum of energy level.

Increase of ns corresponds to emmission(or creation) of photons while decrease represents vice versa Thus the state of the radiation field can thus be specified by writing down in an ordered sequennce the number of photons present corresponding to the various frequncies.This is the "occupation number". The word 'vacuum' is a misnomer in this context since space is filled with a field which carrys energy. Now even "Grand space" is not proper as since we will see later that by a change of boundry conditions in reg.egns we can attain a state of lower energy. So even for an occupation number "Zero' the field does have a Zero point energy as given by the

∑ ' (½)hעs.

A field is a useful concept used to describe particles. The moment we talk about a field, we must be able to specify its amplitude as a function of space and time. The Amplitude could refer to a scalar field,vectorfield or spinor field. At this point we must note that thehre are two types vacuum one has to deal with:

vacuum associated with electron field

vacuum associaated with electromagnetic radiation.

In case of the electron field we deal with a spinor field ψ (sanpace,time) and in case of EM file we deal with vector field amplitude A(Spae,time).But having a field amplitude Ψ does not suffice to deal with a many paarticle system as Dirac used it to only for one electron system.To customise it for many elctron environment one must first declare Ψ as an operator and then specify its anti communator ψ (r',t').

Vaccum associated with EM field : The quantum theory as noted earlier does not
consider vaacuum s a state of emptiness.In this formalisation the vacuum state of electromagnetic field. corrresponds to all the radiation oscillators being in their quiscent state. Their occupation number is Zero and are called Zeropoint oscillator We can consider the vacuum state of field by ψ 0 us. Now on a practical level, one creates or annihilates photons in a paraticular state,say k. For this purpose one defines the annihilation operators a+k ak in terms of A. Similarly we define creation and annihilation operatoars b+k, bk in terms of ψ In this Hamilton -Jacobi formalism, an asumption of classical field is made.The assumption is that " At each instant 't' in a field has a well-defined value for all X Whatever be the state of the field.".Hence in this formalism made creation & annihilation operators araae respectively given by
ak+ = (2k)-½ (kq*k - δ/δqk )

ak- = (2k)-½ (kqk - δ/δqk* )

where k = ‌│k│ and satisfy the commonation relations:

[ ak, ak '] = ( ak+ , ak"+ )=0; (ak, ak+ ) =δkk'

In some literature the factor of K is on the right hand side where as in some it has a factor of k-1 on the left hand side. The vacuum state of the field ψ 0 is the stationary state defined by the requirement ak ψ 0 =0 for each K. where ak is the annihilation
operator.Using 1,above, we have:((kq*k+ δ/δqk* ) ψ0 = 0 for each K

or equivalency[ (─‌‌‌►2 ½ ψ (x) +δ/δ(x)] ψ 0=0 for each x

where (─‌‌‌►2 ½ ψ = v - ½ Σ ',kqk e'k .x is the limit of continuous K.

Solution of these differntial equations yields usψ 0 (q,q*,t) =N.Π k/2 e-k q k* q k ─i
or can be simplified asψ 0 (q,q*,t) =N e- ½ ∫ ψ (x) (─‌‌‌►2 )½ ψ. ψ (x).δ3x─1 Єot ---6 where the normalisation constant isN = .Π k/2 (k/Π) ½Now in these coordinates the Schroedinger's equation becomes:i ∂ψ/∂t =∑,' [ ─∂²/∂ q k ∂ k* +k2 ∂ k* q k )------------------------7 k/2 Now the energy could be found directly by direct substitution in to 7 above. to be asЄ0 = ∑,' k/2clearly this is infinte.Confirmation:The equation 5 above is a product of the modes, it is the ground state of an infinite set of independent operators.As we know that the oscillator is at rest,to confirm this,we note to a constant the phase of the wave function given by S= Є0 t.Thus the time evolution obtained as a solution of a guidance formula in Hamilton -Jaacobi formulation.

∂ψ(x,t)/\ ∂t =δ S[(ψ (x),t]/δ ψ (x)

ψ (x)= [(ψ (x),t]/ will become ∂ψ/ ∂t= δ S/δψ=0 or

ψ (x,t) = ψ (x) and hence the field is static. Thus the "Zeropoint" energy,─

δ S/ ∂t =0. This Є0 resides in a quantum +class.por.energy

Vacuum Associated with an Electron field : In the dirac theory all the -ve energy states are filled leading to the so-callead Dirac Sea. Now suppose that tahe elctron has an electrostatic energy Є defined by a function of the distance 'r'. i.e ε(r). If we now consisder a cell of unit volume at a distance r the energy content of the cell is ⅛Π ε² (r). (it is proved before). Hence the total Electrostatic energy is given by

E= ⅛Π ∫ε²(r).dv.

Now if we consider point charges i.e radius of the electron → 0 then E→∞ ;

if a=0 then Є=∞

But as the celebrated scientist Mr.Richard.P.Feynman said that the infinite energy may be annoying,but what really matters is whether there are any observable physical effects. If the changes on energy are Infinite then we are in trouble.

For the Cuckoo Flew

As the fresh fall wind blew
Am wondering if there is any bru
between me and you
flowing through the rouge rue

If so, throw me a clue
that embeds your view
lest my thoughts turn black and blue
and that should my mind slew

I'll be here, praying on a pew
with every nerve and sinew
waiting to hear that music new

Recently read Vonnegut's "Man without a Country" (coutesy of Hirak) in which he says

Practicing an art, no matter how well or badly, is a way to make your soul grow, for heaven's sake. Sing in the shower. Dance to the radio. Tell stories. Write a poem to a friend, even a lousy one. Do it as well as you possibly can. You will get an enormous reward. You will have created something

The above verse is such an attempt. You dont need to buy the book, please go the local library to check out this book and as as a bonus you get to see what kind of community you are living in .

Time

Exactly today last year I took upon this job I have currently. I can safely look back at an year to date and think it is the best year of my career so far. Six months of it, I spent 12 hours per day another 3 months working 10 hours average. I just wanted to see if I can give my best and see what its like. So far I am extremely contented with the results as it was a labor of love.

I belong to a pre-sales group with the charter to convert a prospect into a customer within 4 weeks or less by making sure everything they need from a technical standpoint is in place. Now, this required cross functional liasing skills to make sure I delivered what my sales folks needed. Before I knew I was on the rolls of engineering, operations and sales while I properly belonged to marketing. Looking back, I am fortunate to be placed in such a role as I never have been bored with my job (yeah! there are always occasional dips but thats normal in any job?). Other than high sea piracy and hedge fund management there are very few opportunities to my knowledge that offered this kind of variety. Every week had some share of talking to the customers and making them subscribe to my religion (which is my companie's service) , administer a bunch of systems, write scripts both to measure and validate stuff, write code to build tools that make it easier,recommend product changes by passing on what I see in the field and ultimately evangelize the good stuff with both customers and other partners. Yes! I liked every one of these functions thought my core function is to analyse and report on HTTP related stuff.

Not many firms I know would give such a free rein to people just because they like doing. Just because I was doing something right enough to inspire confidence so that I can be let loose on the rest of the roles isnt actually good enough reason that many folks would say okay. As organizations grow, they dont like these kind of cowboy actions of a different team in their turf as it gets kinda feudal. As we all know, good growth of feudalism ultimately leads to some despotism which isnt uncommon in today's business. I chose my current organization over a much bigger well known one for precisely avoiding that problem. I thank my employer for allowing me to do what I believed would help us in the long run.

And today is a piece of history for us and I am proud to be a part of this revolution. We have our best quarter yet where closed this quarter with our best ever numbers. The number of customers have tripled since I joined and churn rate was practically zero. Our P & L statement looks fabulous and we might be on our way to an initial public offering sometime next year.Yes, these kind of things happen in the valley a lot but I am excited about this just like Z in Antz

And, y'know, I finally feel like I've found my place. And you know what?
It's right back where I started. But the difference is, this time I chose it.

Quote of the Day

If it is language that makes us human, one half of language is to listen.

Silence can exist without speech, but speech cannot exist without silence.

Listen to the speech of others, listen even more to their silence.

-Jacob Trapp

Closure

Closely look at all the various fields that have the concept of closure. You see there is a common thread uniting all of those definitions. Anyhow when I was first introduced to closure in an elementary math class it sounded very close and intuitively appealing to me.

It boiled down to something like this: lets say all we know about is integers and suddenly we are asked to express the diagonal of a square with side of 1 meter. You'll be at a loss to express it in terms of integers as it more than a certain integer(1) and less than another integer(2) but you can never measure it off precisely using your tools (because your tools can only measure integer lengths). Well, you can do it by subdividing the tools but its a process that will take you aeons and after a lengthy stint you'll need a insight to see that this process of subdivision can produce the same result as sqrt(2).Thats what evolution is about (lower primate in us loves to go through the process whereas some other higher form tells us there is another way). When we have this way, we say the issue is "closed" under some arbitrary property.

I tend to think certain emotions need to be closed in the sense you know of a category to put them in place. Just like in sorcery, if you name something you have power over them.(in the above case, simply call such numbers "irrational", define them rigorously and boom! you are a master).

I just "closed" such an issue for myself today. Its been more than 5 years since this bugged me in some corner of my mind like a crow.(actually they were much like a terminate and stay resident (TSR) programs that were written as viruses in C under early DOS versions..remember the "cookie monster" or "raindrop" virus? today, for me it is like cleaning the interrupt vector table(IVT) and restoring it to default). It feels really good to reach such a closure.

The only sad part is that with every closure the complexity/bloat increases slightly and sometimes you gotta give up something (for example, the closure of real numbers lead to complex numbers that costed us the relational operators like greater than,less than,equals to) . Life is complex: has both the real and imaginary parts :)

The Razor's Edge

I had my best weekend of this year to date. My friend M used to say I loved to live the characters of a book and this time it just coincidentally so happened that I was straight in a situation where life imitated art.

A nice co-worker of mine extended me an invitation to join him at his ranch for the weekend. We picked up charcoals,meat,sodas,ec (the usual stuff) and drove out in a monster 4x4 all the way to his ranch.

By the time we were off-road close to the ranch I knew I was in for something special .It had a beautiful road winding up to the mountain (almost picture perfect) and the only place where we could actually sit on the middle of the road and smoke.We also found a lovely bunch of Wild turkeys across the road.The way to the ranch also had to pass through other people's ranches and hence it involved opening something like 10 gates before we were in his ranch (reminded me of the movie "The Ninth Gate" which is a very cool one to watch). The funny part was each ranch owner had his lock on each of those gates and opening any one would leave the gate open.Very nice idea I must say.

And then we went up through a canyon to our desired destination which exactly looked like Walden. I mean to the letter perfect. The only sounds I could hear was the sounds of a distant woodpecker on a tree and the rattling of a housefly's wings. This particular house is nestled on a small hillock situated between 2 peaks. Whats more my co-worker made sure it had all modern amenities like DirecTV, A/C, etc in the middle of nowhere. Then we had a nice barbeque using the grill under a tree. After a sumptous dinner, we moved towards a place where we used a bunch of quarter-logs to create a campfire while sipping beer. Then I just glanced up to see the whole sky lit up with stars. Being in Urban locations deprives you of the complete view of the sky. We were following the milky way, ursa major and orion the hunter. We could hear the coyotes howl in the middle of the night and smiled to ourselves that we had fire (It was a moon less night and fire is guaranteed to scare away any such animal). It was just cool to end the day like that.

Woke up early morning,made coffee and then I saw a giant cargo container (like the ones used for shipping). While I was wondering what was housed inside it, I saw a buch of quails pass through our path. Then quietly sipping coffee I spotted a weaver bird (or something like it) right on top of my head around the tree. It was a beautiful structure. After drinking in the sunlight sitting around and watching all kinds of birds (I saw Magpies too) I went in the cargo container and saw a mini tool shop(had all kinds of axes, sawzalls,power tools) but what caught my eye was the 3 ATVs (All Terrain Vehicles much like Kinetic Honda but larger in size). Hopping up on one of those we decided to explore the terrain. My colleague offered to show me a nice spot and we went riding on it across the mountains. While negotiating the ridgeline between two peaks I beheld a magnificent sight of the valleys below me.

He took me to a plane crash site where an old Cessna seems to have crashlanded with its tires were in the bushes (yeah! Dunlop is Dunlop) some metal plates on the grass and some other debris. But then the beauty was not about the crash but about the site. Looked like a mustard plantation but it happened to be a dry grass of some sort. This is where I saw the most beautiful butterfly in my life. It was very small but had an exquisite fractal like shape etched on its wings with a symmetric precision. I followed it for a while only to see that there was also this huge dragonfly (just like those big aircraft carriers which carry planes inside their bellies). A few honeybees were hovering around a hive in a tree.I clearly see the bluejays open their wings and close immediately almost like that of a hop skip jump motion that leaves a flicker of blue in your eyes. The wind had an upwardly draft and for one moment when it hit my face I suddenly felt I became one with the universe :)

Shape I may take, converse I may, but neither god nor Buddha am I, rather an insensate being whose heart thus differs from that of man

On our way back, just like old times we chopped some firewood out of Oak. Then I had a surprise. My co-worker bought a set of handguns for target practicing.I Never held a gun in my life (apart from the winchester bolt-action rifle used in NCC) and I was given the lowest powered one in his repertoire. It happens to be a 9mm Ruger P89. It was very hard to land one shot on the target board leave alone bulls eye. The recoil, hand posture and stance completely make it hard for an inexperienced guy like me. All in all, I can see why these toys can be quite additcive. Gives you a sense of power and all those adrenalin rushing sensations. It was still fun to fire them just like I shoot golf balls at the driving range.

We had some nice hot dogs for lunch over the charcoal grill. Rested for a while watching "The Last of the Mohicans" on an old 1960 RCA telly. Finally as it was about to get dark we wrapped up, turned off solar panel/generator/water supply, etc locked up and started to return.

The way back was almost a zoological expedition. We first saw a coyote being chased out of a range by 2 horses. Then we saw a rattlesnake at a distance but the best sighting was that of a wild boar eating acorns.Actually found 3 of them with black bodies and white tusks. Cows and Horses are always expected in a ranch but not this much wild life. A few cottontail rabbits crossed our trail on the way back and at the gates.I cam back watching those mountains make way to the causeways and back to the city.

The whole point of this incident is that I managed to understand the "Kafka On the Shore"

You sit at the edge of the world,
I am in a crater that’s no more.
Words without letters
Standing in the shadow of the door

Now I know how riddles form a part of the solution. I need to go sleep now. Or if you prefer Dream..

Manju

Whenever I listen to the first track of this movie, I always think of my sister and probably how happy were parents were(it is possible to vaguely correlate with a particular emotion in temporal dimensions:). I Cannot believe she is a mother herself now..

Music Recommendation

I recently discovered this underground rap/hiphop group called "Gnarls Barkley" who have some fundoo lyrics in their now popular song called "Crazy". Here they are:

I remember when, I remember, I remember when I lost my mind
There was
something so pleasant about that phase.
Even your emotions had an echo
In so much space
And when you're out there
Without care,
Yeah, I
was out of touch
But it wasn't because I didn't know enough
I just knew
too much
Does that make me crazy
Possibly

And I hope that you are having the time of your life
But think twice,
that's my only advice
Come on now, who do you, who do you, who
do you,
who do you think you are,
Ha ha ha bless your soul
You really think
you're in control
Well, I think you're crazy
Just like me

My heroes had the heart to lose their lives out on a limb and all I remember
is thinking, I want to be like them
Ever since I was little, ever since I
was little it looked like fun
And it's no coincidence I've come
And I
can die when I'm done
Maybe I'm crazy
Maybe you're crazy
Maybe we're
crazy
Probably

Timing is Everything

I made the my best tea and coffee, to date, in a single day. I felt like not going to work when I woke up so worked from home taking my own sweet time for everything.

At 3:00 pm yesterday I yearned for a 'cup of tea'. The secret for a good tea is the time the brew very well. A second more on the heat can spoil it as well as a second late in adding the tea can make it bland. It made me realize that making proper tea is akin to playing the violin. You dont have any markers but rely on the fact that your finger is going to smoothly slide from note to another.

After a very good volleyball match, I returned with a couple of my acquaintances and made coffee for four. Making good coffee on the stove is akin to playing a guitar. You know you can get the same note provided your finger is right on the marker but beautiful nevertheless. The dependence on timing is a li'l less than that of tea but can enhance the quality.

Now I need to repeat this exerscise atleast 20 more times before I can get the same taste again.