Thursday, June 23, 2011

Introduction to Basic Physics (Lens combinations) Pt. 20



We now look at the practical combination of thin lenses which yields optical instruments such as the one shown in the accompanying photo of Caribbean science student Carson King, who won top price at a Science Exhibition with his self-designed and constructed 2" aperture refracting telescope (which he converted to an astro -camera to take photos of the Moon.)

The typical thin lens combo is shown in the illustrated example, asking 'Where is the final image?' The key step is to use the known focal lengths (f1 = 10 cm and f2 = 20 cm) and then perform the working as shown. The trick is to find the image distance s1' for the first lens, then having done that find the object distance s2 of the second lens. One can also obtain the total magnification (lateral) using the magnification formula.

We look at the procedure, then complete the solution for the converging lens system shown.

Procedure in analyzing a thin lens combination:

1) The image of the first lens (L1) is calculated as if the 2nd lens (L2) is not present.

2) The image of the first lens is treated as the object of the 2nd lens.

3) If the image of the first lens lies to the right of the 2nd lens, the image is treated as a virtual object for the 2nd lens (that is, s is negative). Refer again to the sign rules in the previous blog on lenses.

4) The image of the 2nd lens is the final image of the system.

Application:

Using the thin lens eqn. for lens L1:

1/s1 + 1/s1' = 1/15 + 1/s1' = 1/10 cm

therefore: s1' = 30 cm

e.g.: 1/ s1' = 1/15 - 1/10 = 5/150 or s1' = 150 cm/ 5

And for the 2nd lens:

1/s2 + 1/s2' = 1/f2

-> 1/ (-10 cm) + 1/s2' = 1/20 cm

or 1/s2' = 1/20 cm + 1/ 10 cm = 30 / 200 cm^-1 or s2' = 200/30 = (20/3) cm

Thus, the final image lies (20/3) cm to the right of the 2nd lens.

The lateral magnification for each lens is defined as before (see, e.g. solutions to previous problems):

M1 = (-s1'/ s1) = - (30 cm/ 15 cm) = -2

M2 = (-s2'/s2) = -(20/3)cm/ -10 cm = 2/3

Then the total magnification of the lens system is:

M1 M2 = (-2)(2/3) = -4/3

So it is:

real, inverted and enlarged by 4/3 times over the object.

In the case of the refracting telescope, such as shown in the photo, the magnifying power is defined by:

m = F/f(e)

where F is the focal length of the objective (the main or front lens) and f(e) is the focal length of the eyepiece. Hence, to get a large magnification one needs F to be fairly large and f(e) to be small.

Problems:

(1) A telephoto lens consists of a converging lens of focal length 6 cm placed 4 cm in front of a diverging lens of focal length (-2.5 cm).

a) Do a graphical construction of the system showing where the image would be.
b) Compare the size of the image formed by this combination with the size of the image that would be formed by the positive lens alone.

2) The objective lens of an astronomical telescope has a focal length of 6 ft. The eyepiece has a focal length of 2 inches.

a) Find the angular magnification that the telescope will produce when used for distant objects.

b) A rule for observing extended astronomical objects, such as planets or nebulae, is that the telescope magnification should not exceed 60x per inch of objective aperture.

If the astronomical telescope of this problem is used to observe the planet Jupiter,is the condition met or not? If not, what focal length eyepiece is needed to get the maximum angular magnification?

3) The objective of a telescope has a focal length F = 30 in. When it is used for an object at a great distance, then the distance between the objective and eyepiece is 32 in. What is the angular magnification?

Wednesday, June 22, 2011

The Myth of "Mismatched" Jobs & Skills


It is simply incredible the spin put out by some of the pundits on the reasons for the continued relatively high unemployment. The new myth making its way across the punditocracy is that too many unemployed lack the skill set to be matched to the jobs available. If only, only these forlorns had that missing skill set, they'd probably get a good job and bring the unemployment rate down....maybe to even 7.9%. This is codswallop, but those like Robert Samuelson in his latest column, seem to have no problem peddling it.

According to Samuelson, Economist Harry Holzer of Georgetown University "thinks the unemployment rate might be closer to 8 percent...if most of those jobs were filled". And in which of Holzer's dreams, may I ask? Meanwhile, not to be outdone, IMF economist Prakash Loungani estimates 3 million jobs could be filled if workers just had the right skill set. Then, McKinsely Global Institute - in a claimed survey of 2,000 firms - found that "40% had positions opened for at least six months".

Really? So all that $2 trillion the corporations are still sitting on would just be freed up if they had the right workers?

Bollocks!

TIME in its May 20 issue (p. 36) notes two elements that only appear to have been superficially covered by most academic economists and which are playing new roles in engendering an American jobless future:

1) The re-definition of productivity: that is, productivity is now defined by "cutting jobs and finding ways of making the same products with fewer people". As pointed out by the author (F. Zakaria): "At many major companies profits have returned to 2007 levels but with many thousands fewer workers".

2)The force of globalization: making a single market for many goods and services which don't require American workers for production, OR American consumers to buy them. This single market amounts to more than 400 million having entered the global labor force, from China, India, South Africa, Indonesia and elsewhere. All now with money to spend, and all willing to work at one third or less the pay of an American, and for NO benefits!


These are ominous forces, and any American (including economics prof or pointy-headed bureacrat) who still insists on wearing rose-colored glasses has only himself to blame if blind-sided. It's clear that these coupled forces are the major impediments to job creation and will continue with no imminent signs of abating, unless some hidden, unfactored counterforce causes one or both to halt.

So where have the sources that Samuelson cites obtained their info, and how reliable is it? First, having had experience doing some occasional company surveys, I can assure Samuelson that 99% is bullshit. Most companies when confronted by some question seeker simply pull numbers out of their asses. If you asked one single company to perform a total quality analysis and verification of the data, it wouldn't know whether to shit or go blind. So, I would trust those surveys about as far as I would to trust Jim Inhofe to help solve the global warming problem.

As for the Georgetown prof's ruminations, one can only go back to what I already wrote about the infatuation with most econ academics with the Pareto distribution. Somehow in his mind's eye he's dreamed up an ideal Pareto -dominated world in which 8% unemployment will appear if all the jobs are Pareto- adjusted. What does that mean? It means jobs with no benefits, probably no paid overtime, and absolutely no sick days - as well as no family time, with possible firing if one succumbs. Who in the hell would want such a job, especially if the pay is still bottom feeder low? (Stay tuned for a future blog wherein I will take on the whole sordid world of work addicts, workaholics, and latter day Calvinists who glory in work and have created a perverted work ethic more akin to 18th century slavery.)

Indeed, as Jeremy Rifkin once observed in his masterful tome, The End of Work, the ideally efficient work format for any company would be ZERO workers, and all machines, OR human slaves willing to work for next to nothing, and with NO time off. Well, think of the late Dark Ages there!

But this mode of thought has carried forth, fueled by conservative 'low wage' whackos who believe all the unemployed are simple slackers, not that they have a family with 8 mouths to feed (and a mortgage) such that a scut job at $8 an hour might not cut it (or even two such jobs- working 16 hours a day!)

Anyway, from my own sources, based on the rate of out-shipment of jobs overseas, it appears that if there are 155,000 available high quality jobs, that's a lot (but not enough for 14 million unemployed). There certainly aren't "3 million"! Many of these are in the computer -tech business, but let's not forget that with 11,000 Indians graduating every year from the Tata Institute and Indian School of Technology, most of those jobs are rapidly taken....by Indians.

Finally, let's kill this bullshit that workers are unwilling to move to take jobs. Samuelson, for his part, whines that "work is mobile, workers are not". So WTF? Workers are to pack up and freaking move every time they're downsized? Are you effing nuts? You ever heard of mortgages? Having to sell one home before you have the moola to move to another place. Oh, and then there was the famous case of the poor guy who moved lock,stock and barrel from Cleveland to Denver....and ten days into his new job, was told his skill set didn't quite match and they didn't need him after all.

Samuelson and the other cyborgs need to bear in mind that people - most of us- only have limited resources, and can plan a career trajectory for only one, at most two (potential) training arcs, no more. For example, in the late 60s hundreds of thousands hitched their career wagons to space and the future of space. They did the aerospace engineering trajectory or the physics-astronomy one for theoretical research. But...when the space program was mothballed...in the Reagan era (he preferred to waste $100 b on 'Star Wars') that was more or less it. Those people had already invested most of their available money and life's energy on that career and it left them with nada...as the space workers at Cape Kennedy are to learn after the final shuttle flight in 3 weeks.

In a way, this "creative destruction" of capitalism is what's really at fault. It tears all ties that bind, family bonds and does it continuously. It also breeds the transient, uncommitted state of mind which itself often incepts the most perverse aspects of our culture - from suicides, to mass murderers (e.g. check out the movie, 'Rampage') to serial killers. Probably no one has expostulated on this better than Morris Berman in his assorted monographs, from Dark Ages America: The Final Phase of Empire to The Twilight of American Culture.

Before Berman, Charles Reich nailed the country's pathology in a number of chapters of his Opposing the System showing just how badly fucked up we are as a nation. As he put it in one of his paragraphs:

When society itself comes to be modeled on economic and organizational principles, all of the forces that bind people together are torn apart in the struggle for survival.

Community is destroyed because we are no longer 'in this together' because everyone is a threat to everyone else.


So true, but this is what the economic organizational model has imposed on us, to the point now we are to call no place 'home' and instead put finding some temporary work above even domestic stability. Then people wonder why we have 30,000 homicides and suicides a year, and mothers killing their children (news stories) about every other week. What do you expect in a nation that now places a premium on transience as it disdains any sort of cohesive community? One nation? Hell, don't make me laugh! Most of the time we're 300 million atoms each vying for survival in the dog-eat-dog capitalist consumer matrix, one step ahead of suicide...or downsizing, joining the unemployment lines. At which point nobody still working wants anything to do with us lest they catch our "disease" ...which is really dis-ease.

In such a capitalist-driven, consumerist organizational economic model, wherein the resource “pie” for the non-wealthy elite grows ever smaller, the young are threats to us oldsters, as we are threats to them, as neighbor is to neighbor. It can't be otherwise. This capitalist model has seen fit, in other words, to destroy our areas of commonality and common cause. In effect, U.S. capitalism creates a self-destructive, wasteful culture that translates into a self-destructive and wasteful social pattern.

Repeated untold millions of times, one gets an entire toxic culture, and diseased society. This is, in effect, what we are seeing when we re-enter the U.S. after long stays in normal countries, that hold the commonality in esteem, rather than attempting to fracture it into millions of pieces. Thus, the best analogy I can give to what is occurring in the U.S. is a malignant cancer. As in cancer, when one limited group of cells grows too much - it does so at the expense of the whole body. So also in the U.S., when run amok crony capitalism enables a tiny elite segment of the body politic (and social ) to run amok at the expense of the health of the whole.

Sadly, the tale of history is that diseased cultures and corrosive societies do not last. The U.S. is - in that sense- now on the respirator, and hasn't too long to go.
We will see just how long when the need to increase the debt ceiling arrives, and the repukes use it to hold the nation hostage to their demands, and threaten to vote
'No!' putting us all in jeopardy.

Meanwhile Samuelson and his clones will regale us with more stories on how we could just find a job if we developed the right skill set....or were prepared to move 1,500 miles at the drop of a hat. Never mind the mortgage!

Bring 'em ALL Home, now, Mr. Obama!


A small news story appearing in the back pages the other day, prefigured a small 'Eureka' moment of perception. The story concerned Portland, ORE and a man caught on camera urinating in the city's reservoir. Once Portland water authorities spied the image, they initiated the dumping of 8 million GALLONS of treated water! Many critics in the wake of this debacle (especially given the increasing shortage of drinkable water in the world) said it was overreaction and noted that small animals, raccoons, porcupines and such often use it as a restroom. In any case a half pint of urine in some trillion gallons of total volume translates to a vast dilution.

Why did Portland's auspicious water board nonetheless dump all that treated water, which is now gone forever? My take is that they expressed an emotional reaction as opposed to a rational one. My 'Eureka' moment of perception occurred when I realized this is exactly analogous to what the U.S. did after bin Laden and his band struck on 9-11. So devastated was the nation in the wake of this attack, that it responded like an irrational, emotionally smacked victim - marshalling all the costly might of its superpower military resources - against a relatively small band of criminal n'er do wells. In effect, this summoning of massive force, including deploying ground troops in Iraq and Afghanistan, elevated the n'er do wells into a competing superpower by dint of over reaction. And all of it was out of proportion, an emotional response to the attack - such as the householder in Philosopher Alan Watts parable- who uses a flame thrower to eliminate a hornet's nest perched on his wall after he's stung in his yard. Trouble is, he destroys his own home in the process of removing the small nest!

Thus, in both cases - the over reaction to the pissed-in water, and the attack on 9-11, emotional reactions distorted, then nullified any benefits in the responses. Even now with bin Laden dead and gone, we're still fighting a "war" we cannot win...will never win. No matter if we poured a half million troops into Afghanistan, or Yemen, or Pakistan...or wherever. Why? Because all those nations are predicated on TRIBES! Afghanistan alone has dozens of differing tribes and trying to nation build on those is like trying to build a house foundation on shifting sand. In addition you can never fight any war against a mode of aggression, i.e. terrorism. It must be against a defined state. Moreover, there will always be terrorists so long as the strong prey on the weak, tyrants rule with despotic hands, and poverty scars the planet. Want to fight terror? Than initiate a multi-billion dollar organized program to deal with global poverty, while enhancing education in the world - as opposed to pissing away $690 billion a year on armaments trades.

This is why President Obama, in his speech tonight, must begin the withdrawal of ALL troops, finishing by the end of the year. Not a mere pitiful 5,000 then dribbling on to maybe 33,000 total (the numbers for his "surge" back in '09) and on and on dribbling - while pissing away $10 billion a month - until 2014.

As I wrote, as it turns out very presciently, in a blog on smirkingchimp.com in 2002:

The most appalling aspect of this - no matter how long the alleged "terror war" lasts- is that Bin Laden and his fanatics win. No question. Doesn't even matter if they bring his head back on a spit, they win. They got our own government to do to us what they themselves could not. To irrevocably alter our form of free government BY THE PEOPLE forever. To have the Bill of Rights - including all unenumerated rights- unceremoniously dumped in the rush to catch 'terrorists'

I then appended a remark made at the time by Sen. Russ Feingold:

"There is no doubt that if we lived in a police state, it would be easier to catch terrorists. If we lived in a country where the police are allowed to search your home at any time for any reason; if we lived in a country where the government is entitled to open your mail, eavesdrop on your phone conversations, or intercept your e-mail communications, if we lived in a country where people could be held indefinitely based on mere suspicion that they are up to no good....But that would be a country in which we would not want to live."

Very true. And at the time it appeared most Americans were happily prepared to live in such a nation (most couldn't name 3 of the Bill of Rights in numerous polls over 2002-03), their precious security and safety more important than their basic freedoms, and liberty - forgetting the famous quote of Benjamin Franklin (which all hyper security fascists hate to see):

"Those who would forego liberty to attain a temporary safety, deserve neither liberty nor safety".

Not on my radar at the time, though I ought to have seen it, was the total of money squandered to halt the terrorism. Now it amounts to over $3.2 trillion spent. In 2004, when the vote came up to increase defense spending from 2.4% to 3.7% of GDP (which defense analyst Chuck Spinney called "the beginning of a war on Social Security and Medicare") it was written in the press:

Senior army advisers believe they can justify the increase on the grounds that it constitutes a 'preparation of the battlefield' in a war against terrorism that has no boundaries, because the September 11 terrorist attacks in effect initiated a worldwide state of armed conflict"

Process that insanity for a second! A gaggle of robed lunatics mounts a devastating attack on one major location (they also attacked the Pentagon but it was less horrific and deadly in scale) and the "generals" want to instigate a "worldwide state of armed conflict"! No wonder most of the nations of the world are now at the edge of economic default and in monstrous debt! Even bin Laden, when he was still around, declared his primary aim was not simple destruction but making the U.S. "spend itself into bankruptcy"! Isn't that exactly what we've done?

Then by all standards, he's won!

Unless, of course, we can call a halt to the madness, and step through the looking glass of reason to limit the damage in blood and treasure. That means pulling totally out, as a rational act of self-survival not "isolationism" as idiot McInsane tries to portray it in his senile assorted yammerings.

Besides, are we really terrorized? Are the Taliban terrorizing us? Let's look at first at the term "terrorism" and whether Americans are "terrorized." In fact, as Andy Rooney noted in a 2003 column, the word "terrorism" means (by the Oxford dictionary) the "systematic use of terror as a means of coercion."

But this does NOT describe the American scene. Americans may be hyper-vigilant, may be more aware, possibly anxious - but they are not cowed, or 'coerced'. I see as many going on planes, boats, trains etc. as ever - and not even with the screenings that the Israelis use! And they were even going out on spending splurges (as Bush Jr. admonished them to do) soon after the appalling attacks. A nation of consumers now, rather than citizens.

Neither is this a "war", a term misused ever since 2001. A genuine war - as it has always been fought and defined- requires a specific nation state as enemy. Not a gaggle of robed lunatics with a fancy name.

Neither can a real war be open-ended. There must be parameters for closure. What are the criteria for victory? For the enemy's surrender? Without naming such criteria, you have NO war! You may have an open-ended 'occupation' with intermittent "battles" but not a war.

Finally, a genuine war is always paid for (by taxes). Congress has the power of the purse in this, and it allocates funds upon declaration of war (as in WWII) but also sets limits. If spending therefore on men and materiel exceeds certain thresholds then revenue is increased to bear the added costs - which also thereby fall on ALL citizens. Even if millions of citizens have no sons in the fight, or other investment, they at least must pay higher taxes as a form of shared national sacrifice! But what have we found since 2001? Nothing but a decade of tax CUTS! Even as military spending has ramped up to 3.7% of GDP! This is insane! THIS IS WHY WE ARE ON THE VERGE OF BANKRUPTCY!

This is also why Mr. Obama must now call an end to this foolishness, especially now bin Laden has been dumped in the deep blue sea. Declare a putative victory and let's leave. The Afghans will either successfully build their own nation or fail, but in any case it will be THEIR plot to plow! If then many civilians are accidentally killed, including kids, it will be THEIR miscues responsible - not OURs (which in my mind have already cost us too many hearts and minds to be seen as other than occupiers, like the Russkies were). Summed up, as JFK put it in his American University speech some 48 years ago, we can't enforce Pax Americana on the world with American weapons of war. We can't be the cops of the planet, and in any case, we don't have the money to fulfill this ambition even if we wanted to - in our fervid delusions.

Thus what we are calling for (as sober national rationalists) isn't "abandonment" but preserving our own domestic security and stability. Remember that the downfall of Rome wasn't because of "barbarians at the gate" but rather military overstretch. The Romans were so diffused and scattered in military over stretch they lacked the resources or revenue to sustain them. We're in the same position!

Tell the Pentagon and generals to go suck on a root, Mr. President! Be the leader, not the follower of their agenda! BE the Commander-in -Chief as opposed to being their pawn and willing servant. The perseverance of this nation may well depend on it. Yes, we know some 1,670 lives have been sacrificed thus far, but do we want that compounded to 16,700? Does valuing the lives of 1,670 mean allowing the killing of another 15,000? How does this value those 1,670-odd already lost lives? This again, is insanity! It's similar to the faulty reasoning that hyper-miltary hard noses tried to invoke to keep us in Vietnam: 'How can we let those 58,000 deaths be for nothing?' But, had we stayed, there'd have been 158,000 dead we'd now mourn at the Vietnam Memorial instead of 58,000! Thus, cutting losses is the sign of the sane man, while increasing them to preserve an imagined need for value of the already lost lives, marks the raving of a lunatic. (Given the tribal situation in Afghanistan, and that we aren't facing a coherent nation state.)

You promised change, Mr. Obama, and we are all expecting a BIG, long overdue delivery on that tonight!

Tuesday, June 21, 2011

Solutions to Part 19 Problems (Diverging lenses)


The problems were:

1. Using a graphical construction find the image formed by a diverging lens with a focal length of 30 cm when the object is 60 cm from the lens.


The solution is given in the accompanying diagram, with the image seen at a position of s' = -20 cm.


2. A diverging lens has a focal length of 20 cm.

(a) Where is the image if the object is 20 cm from the lens?

we need s':

We have: f = - 20 cm

s = 20 cm

The thin lens equation for diverging lenses is:

1/s + 1/ s' = - 1/f

and in this case, we will write:

1/s' = -1/f -1/s = - 1/20 - 1/20

1/s' = - 1/ 12

s' = - 12 cm


(b) If the object is 4 cm high, how high is the image? (Recall the lateral magnification of a thin lens - with sign conventions in place is:

M = h'/ h = -s'/s


We need h' and know h = 4cm, s' = -12 cm and s = 20cm.


h' = (-s'/s) h


h' = (12/20)4 cm = 48/20 cm = 2.4 cm



3. A diverging lens placed 10 cm from an object produces an image which is half the size of the object. Find the focal length of the lens.

We have: h'/h = 1/2 = 0.5

s = 10 cm

But:

h'/ h = -s'/s or -s' = 0.5(s) = 0.5 (10 cm)


s' = - 0.5(10 cm) = - 2 cm

Of Bollocks, Banter and Baloney..


Seems our local pastor has raised a hue and cry against the previous blog to do with exposing William Lane Craig's "resurrection" codswallop and high -profile bunkum. As I showed in that blog, Craig's ruminations fail but primarily because he uses the wrong probability basis. He ought to have used Bayesian statistics (Bayes theorem) and computing the future probability of a supernatural resurrection based on the hindsight "evidence" and data. But we note the goodly pastor dodged this whale - or should we say, 9,000 pound elephant in the room- totally. Given that, we will confine skewering of his missive to what he insists are errors we make.

First, he argues that it's not in "scriptures" that Yeshua wore a robe. Ok, we will give him that (at least in John 20:11-17). But neither does it state unambiguously anywhere that he was naked as the pastor claims! In fact, as both Bart Ehrman and Geza Vermes have pointed out, if indeed it was Yeshua he'd certainly not have been naked but have worn part of the remnant burial shroud. Even in those day, "glorified" bodies didn't go walking about naked! To confirm this, we can go to the gospel of Mark (16:5) and note: when they entered the tomb they saw a young man, sitting on the right, clothed in a white robe". Obviously, this is either: a) Yeshua in a different guise and he is wearing a robe, or b) One of those who assisted in spiriting the body out - now caught left behind.

But these are all tiny points without significant bearing on the core premise. That is, as Vermes observes (p. 395) hyperbolic description and exaggeration was not only peculiar to the way Yeshua's words were often portrayed, but whole gospels (namely John) themselves engaged in exaggerations of the exaggerations! This is a key point brought out by Yale Prof. Dale B. Martin in his New Testament lectures. It is also very important, because on account of these exaggerations (many due to later additions, copyist free-for-alls) we have severe clashes with the accounts of the same events in other gospels.

For example, as Prof. Martin discusses in lecture 13, does it not occur to the steadfast biblical literalists who are so effusivley proud of their "hermeneutics" (which is a big laugh, since literalism is contradictory to any hermeneutics!) that John's descriptions are overly long and embellished? When one compares the account of the trial before Pilate, for example, one finds no similar extensive elaboration in the other three! Why? The answer is that copyists inserted much more extensive material into John, probably because it was near the end of the gospel line, and they believed they could get away with it. Thus, we see liberties taken with John that are nowhere in Mark, Matthew or Luke.

In addition we have evidence of insertions and additions that make a mockery of any historical claims, as Prof. Martin has also emphasized. For example, manipulations and additions in the earlier Codex Sinaiticus ms. disclose contradictions in accounts between Luke 24:51 and Acts 1:1-11. In the former, one is led to believe Luke is claiming Yeshua ascended on the same day as his resurrection. While in the latter, the same author (Luke) writes that it took place "forty days after the resurrection". Is there a hermeneutic explanation? Possibly, but NOT if one takes bible accounts literally! In that case, one is strictly confined to what words are actually presented....LITERALLY!

Now this can be examined at two levels. ON one level, there is simply a divergence of time scales owing to some screw-up in interpretation, or additions, changes to the original ms. On the other hand, one can assert the huge divergence discloses neither event (resurrection or ascension) is real and fact, but rather fiction concocted by the authors, whoever they were. After all, as the foremost historian of RC Church history Thomas Bokenkotter has noted, the "gospels weren't written to be historical or biographical fact but to convert unbelievers". What better way than to try to show that this humble Jewish rabbi conquered death?

Now, on to Hugh Schonfeld's The Passover Plot. He observes that the plot likely began at the start of that final Passover week, and also had enlisted (p. 111) "secret disciples and sympathizers in the Sanhedrin". Schonfeld goes on to point out with such a network in place, messages could easily have been sent back and forth - between the sympathizers, hidden disciples and real 'out there' disciples - who were so terrified. In other words, the bold act of smuggling the body out need not have been carried out by the latter, but the former.

Interestingly, Schonfeld names as a prime suspect (p. 171) in the actual theft of the body "the gardener" (who some folks actually believe was really Yeshua! Oh yes, they know their hermeneutics all right!)A Coptic manuscript from Egypt, entitled The Book of the Resurrection (attributed to the apostle Bartholomew)notes the gardener's name was Philogenes, whose son was cured by Yeshua. He speaks to Mary (not Magdalen) at the tomb and tells her:

"From the very moment the Jews crucified him, they sought out an exceedingly safe sepulchre wherein they might lay him, so the disciples might not come and carry him away secretly. Now, I said to them: 'There is tomb near my vegetable garden: bring him, lay him in it, and I myself will keep watch over him".

Schonfeld speculates this has connections to the 4th gospel (John's) wherein it is described that Mary Magdalen spots a man at the tomb, who she supposes to be the gardener. As Schonfeld puts it: "But WHAT is this incident doing in the gospel?"

Indeed, since it appears in no other gospel! There are several explanations that might apply. 1. A later copyist, being aware of the Coptic ms. inserted embellishments based on it, the same way as he (or other?) copyists embellished and expatiated on the account of Yeshua's trial before Pilate. 2. Both accounts emerged from the same "hyperbolic" or "exaggerated" traditions described by Geza Vermes (ibid.) or 3. both accounts were initiated from the same fictive source - Codex Siniaticus.

Now, let's examine some of the objections brought forth:

1.FACT #1: BROKEN ROMAN SEAL
As I have said, the first obvious fact was the breaking of the seal that stood for the power and authority of the Roman Empire. The consequences of breaking the seal were extremely severe. The FBI and CIA of the Roman Empire were called into action to find the man or men who were responsible


Hardly! As Edward Gibbons has noted (The Decline and Fall of the Roman Empire) discipline in the outermost outposts of the empire was already on the wane, This is backed up by Robert Payne, in his monograph Ancient Rome (pp. 182-186). Indeed, one element of the Judean occupation was to balance severity with "liberality" - e.g. in letting the Jews heel to their own customs. "Breaking a seal" was no big deal, not as it would be in Rome proper. The Romans had better things to do than be chasing after Jewish small fry after a small time rabble rouser was crucified whose main crime was emulating an "ancient hippie" (see John Dominic Crossan's The Historical Jesus: The Life of a Mediterranean Jewish Peasant) and flouting Roman customs. So there's no way, none, that the Romans would suddenly morph into a version of an ancient SWAT team cum-DIA, FBI, CIA and whatnot!


FACT #2: EMPTY TOMB

Both Jewish and Roman sources and traditions admit an empty tomb. Those resources range from Josephus to a compilation of fifth-century Jewish writings called the "Toledoth Jeshu."


The empty tomb proves nothing- other than that the body was spirited away. Hence, leaving an empty tomb! Perhaps by the sympathizers and allies (hidden disciples) Schonfeld writes of (op. cit.) or others.


FACT #3: LARGE STONE MOVED

On that Sunday morning the first thing that impressed the people who approached the tomb was the unusual position of the one and a half to two ton stone that had been lodged in front of the doorway. All the Gospel writers mention it.


Again, purely circumstantial! If, as Schonfeld shows, sympathizers in the Sanhedrin and hidden disciples were afoot, plotting from the beginning of Passover, there's no reason why they couldn't have moved this stone in concert. Anyone knowing basic physics understands the principle of the lever (as Archimedes put it: 'Give me a lever large enough and I will move the world') and all it would have taken to suffice was a sturdy tree branch maybe 7-8 ft. long. Indeed, one burly, determined guy could have done it if the fulcrum was placed correctly! See also my physics blog at:

http://brane-space.blogspot.com/2011/05/basic-physics-mechanics-pt-simple.html



FACT #4: ROMAN GUARD GOES AWOL

The Roman guards fled. They left their place of responsibility. How can their attrition be explained, when Roman military discipline was so exceptional? The fear of their superiors' wrath and the possibility of death meant that they paid close attention to the minutest details of their jobs.


But again, as Gibbons has pointed out (op. cit.) discipline was already going out - especially in the outer provinces. Also as Robert Payne observes, as well as Geza Vermes, the fact is Yeshua was considered as a small time rabble rouser, not a god. They'd not have exacted such harsh measures to defend and safeguard a lowly Jewish peasant's tomb! Faced with a determined Jewish mob of covert disciples and Sandhedrin sympathizers, there's no doubt what few guards were there would have vamonosed.


FACT #5: JESUS' APPEARANCES CONFIRMED

When studying an event in history, it is important to know whether enough people who were participants or eyewitnesses to the event were alive when the facts about the event were published. To know this is obviously helpful in ascertaining the accuracy of the published report. If the number of eyewitnesses is substantial, the event can he regarded as fairly well established


This again, is a non-sequitur. The number of observers has no bearing on the actuality or veracity of an event. Over 70,000 witnesses attested to the events at Fatima in 1917, but were they real? According to the witnesses accounts, documented from the Vatican's Fatima Archives:

"The rain ceased and the clouds seemed to part...The 'sun' then began to spin on its axis like a pinwheel. As it whirled, streamers of light came from its rim and flashed across the sky, coloring the landscape and faces of the spectators with a variety of constantly changing colors.

After about four minutes, the 'sun' stopped spinning. Then, after a brief rest, it resumed its spinning and its fantastic display of varicolored light. Again, it stopped, and then resumed spinning for a third time, again throwing off light of different colors.

Then, retaining its rotary motion, this 'sun' departed from its position and boldly advanced on the earth, threatening to squash the people with its huge and fiery mass. As the heat increased, the crowd began to pray."


Did this actually happen, as attested by tens of thousands - not just 500? Of course not! No observatories or astronomers in the world saw the events described by those at this single location. And make no mistake, IF the Sun were really doing such hijinks - as "advancing on the world - causing great heat", EVERYONE and his uncle would know about it! You can't confine the purported "motions" and visual effects from a nearby star to one location!! Thus, the most logical explanation, as well as the one which fulfills Hume's test, is that it was indeed a mass hallucination. Granted this is rare and exceptional, but not to the extent of the Sun acting up and only for 70,000 witnesses at one location.


He goes on to write:

Then consider the theory that the body was stolen by the disciples while the guards slept. The depression and cowardice of the disciples provide a hard-hitting argument against their suddenly becoming so brave and daring as to face a detachment of soldiers at the tomb and steal the body. They were in no mood to attempt anything like that.

But as noted above, the plot by a group of unseen disciples and elements of sympathizers in the Sanhedrin would render this null and void. As for a "detachment of soldiers", hardly. Gibbon notes that at most one soldier might have been left there for guard duty, for a rabble rousing peasant. (Payne allows for 2-3). And if he went off to do his business (answering a major 'call of nature'), Yeshua's body would be there for the grabbing. It could easily be taken using the methods outlined earlier, including application of a simple lever to pry loose the impeding 2½ ton stone.

The ball remains in the court of the resurrection claimants. And unless they have actual video footage of Yeshua's resurrection and so on, they have no evidence for any miracle. Anecdotal accounts, even in bibles, do not constitute evidence - especially given what I wrote of the use of synthetic additions in hyperbolic manipulation of text and the resort to plagiarism of ancient pagan god-man tracts. (Mithra also was resurrected- but over 1,000 years before J.C.!) Heck, these resurrection claimants typically demand thousands of times more evidence from UFO witnesses who have actual film footage and photographs! Yet they are prepared to defend their "witnesses" (like the women in John 20:11-17), merely because their accounts appear in a book plundered thousands of times by irresponsible whelps to convey the propaganda they wanted.

On the other hand, the claimants could at least make a start in the right direction if they provided the necessary and sufficient conditions for a supernatural resurrection. Then these could be used to siphon the evidence, and use Bayes theorem to arrive at the Bayes probability.

But I doubt they have the wherewithal to go that far!

Monday, June 20, 2011

Introduction to Basic Physics (Thin Lenses) - Pt. 19



We now conclude our examination of single refracting surfaces as thin lenses, with a look at the diverging lens. In the previous segments-instalments we focused on converging lens, namely the biconvex lens, and now we focus on the biconcave lens.

Figure 1 shows the basic directions of the diverging rays from foci (F1, F2) of a single biconcave lens. The key point embodied in the diagram is that the focal length (f) is negative. This must be factored into all lens computations (such as when one is asked to find the image and-or object distances) for such lenses.

The bottom of Fig. 1 summarizes all the sign conventions for use with both converging and diverging thin lenses. It shows how the quantities s, s', R1 and R2 all change their sign in respect of where object or image is placed in reference to the lens, or where the centers of curvature are placed.

Figure 2 shows a typical ray construction as it would be applied to a diverging lens and in many ways is similar to the convergins lens except that now the object is formed on the same side of the lens as the image and is larger than the image. To summarize the numbered rays:

(1) Is drawn from the top of the object (O) to the optical axis of the lens.

(2) Is drawn from the top of O through the center of the lens and continued as a straight line

(3) Is drawn from the top of I (image) to the lens optical axis, thence to the oppostie focus (F)

(4) is drawn starting from the first focus (F) on the left side of the lens, intesecting the top of I then on toward the optical axis at upper part of lens.


We designate (1)- (3) as Principal Rays and (4) as an ancillary or adjunct ray.


Sample Problem:

The focal length of a diverging lens is 30 cm, and the object is 40 cm away. Find the image distance.

We have: f = - 30 cm

s = 40 cm

The thin lens equation for diverging lenses is:

1/s + 1/ s' = - 1/f

and in this case, we will write:

1/40 + 1/ s' = - 1/30

Then:

1/s' = -1/f -1/s = - 1/30 - 1/40

1/s' = - 7/120

s' = -120/7 cm = -17.1 cm

According to our sign conventions (Fig. 1, bottom) s' is negative if the image is in front of the lens. Since s' = -17.1 cm it must be located 17.1 cm in front of th elens, conforming with what we see in the ray diagram of Fig. 2

Additional Problems:

1. Using a graphical construction find the image formed by a diverging lens with a focal length of 30 cm when the object is 60 cm from the lens.

2. A diverging lens has a focal length of 20 cm.

(a) Where is the image if the object is 20 cm from the lens?

(b) If the object is 4 cm high, how high is the image? (Recall the lateral magnification of a thin lens - with sign conventions in place is:

M = h'/ h = -s'/s

3. A diverging lens placed 10 cm from an obnect produces an image which is half the size of the object. Find the focal length of the lens.

Sunday, June 19, 2011

PR Snafu Shows AARP Isn't Unified in Positions!


The article ('AARP Open to Social Security Cuts') in yesterday's Denver Post (p. 4a) had such an intensity and dread factor for older citizens that it's difficult to quantify it. On a physical level, however, it was like being kicked in the gut. There, on the page in black and white was the news that an organization that had previously defended Social Security was now prepared to allow for some cuts to benefits.

The piece (reprinted from The New York Times) quoted John Rother, AARP's policy chief, saying in a telephone interview:

"Our goal is to limit any changes to benefits, but we want to see the system made solvent"

Immediately as I finished reading it, I told my wife: "They're going to catch bloody hell and then some for this!"

The piece then went on to cite Rother as intimating that the group's stance on possible cuts (first reported in The Wall Street Journal on Friday), should be seen as "less as a major change in position than as a reflection of the political and financial realities facing the social security system and the country as a whole."

Huh? What political and financial realities? You mean the deficit? But S.S. isn't responsible for that! As a matter of fact and perspective, presidents and politicos since Reagan have been raiding Social Security to pay for defense spending and thereby make deficits appear lower on the gamed accounting sheets! As for the real culprits in the parlous financial situation, look to: a) starting two occupations costing $3.3 trillion while demanding no increased revenues and b) allowing for ten years worth of Bush tax cuts (costing more than $4 trillion, including interest) at the same time, and with the latest extension in December last year factored in! And most of these deficits (88%) were rung up on the Republicans' watch!

The piece then quoted Rother again:

"You have to look at the tradeoffs, and what we're trying to do is engage the American public in that debate."

He went on to state that "reductions in benefits should be 'minimal'. They should not affect current recipients and instead be far off in the future".

Again, I had to cry 'Bollocks!' on reading this. Just who does the guy think is supporting current retirees via their FICA deductions? Does he believe that future generations will be willing to continue to sacrifice a chunk of their income knowing their own benefits will be reduced? Give me a freakin' break!

Of course, the published AARP stance opened the door to all the financial miscreants, including conservative think tanks and Republicans who've been pushing non-stop for cuts or privatization for decades. You also had the make-believe Dems - or as I call them DINOS ('Democrats in name only'), known as the Third Way chirping in that the AARP position represented a "watershed moment". But as I told wifey, more like a WATERLOO moment if they stick with it and don't correct. And I forecast a barrage of complaints to force a back down and backtrack.

Sure enough, on tthe AARP website this morning:

http://www.aarp.org/about-aarp/press-center/info-06-2011/aarp-has-not-changed-its-position-on-social-security.html

there appeared an "immediate release" and clarification ('AARP Has Not Changed Its Position on Social Security') to the effect that the media (including the WSJ and NY Times, I presume) gave a "misleading characterization".

According to the AARP CEO A. Barry Rand:

"“Let me be clear – AARP is as committed as we’ve ever been to fighting to protect Social Security for today’s seniors and strengthening it for future generations. Contrary to the misleading characterization in a recent media story, AARP has not changed its position on Social Security.

“First, we are currently fighting some proposals in Washington to cut Social Security to reduce a deficit it did not cause. Social Security should not be used as a piggy bank to solve the nation’s deficit. Any changes to this lifeline program should happen in a separate, broader discussion and make retirement more secure for future generations, not less.


My personal take? Rand had to rush in, after the AARP was likely deluged by emails(most I believe rather unprintable) and rescue policy wonk Rother's ass. I also believe that after Rother's frank over-the-phone opinionating, there likely occurred some very high temperature chewing out by Rand. "How could you say that, you %$#@*&!"

But we know from experience people often let down their guards, especially via phone interviews. Happens a lot.

What it really shows me is that AARP has two divergent positions and one is mainly for PR, pushing the statement that Rand made on the AARP website, while the other is what we call sub rosa or under the table, and held mainly by the policy wonks and their insurance-linked front men. They are capitalists (pushing insurance) first and foremost, and likely share the view of Alan B. Simpson, Ben Bernanke, Alan Greenspan and others, that Social Security benefits need to be cut.

I'd always suspected AARP was never really a genuine frontline defender of Social Security, mainly because of the conflict of interest with their insurance sales. That's why I've always been a staunch contributor instead to The National Committee to Preserve Social Security and Medicare - because they have no sales angles they need to protect.

The real story of this snafu is that AARP is divided on the issue of Social Security benefits cuts. It will be interesting to see now what happens to Rother (whether he's retained as policy maven) and what new PR emerges in the internecine battles likely taking place in the organization.