Sunday, May 1, 2016

TKO TKOED


Demetrios Kalamidas, creator of the TKO superluminal signaling scheme.

Page 1 of Kalamidas's TKO FTL proposal

Page 5 of Kalamidas's TKO FTL proposal

A few days ago I received 6 or 7 hand-written notes from Demetrios Kalamidas outlining a new faster-than-light (FTL) signaling scheme that he had devised. Three years ago, Kalamidas had proposed (and even published in a major optics journal!) an FTL scheme which was so devilishly clever that it occupied the time of several smart physicists before his scheme (which I irreverently called KISS for Kalamidas's Instant Signaling Scheme) was finally wrestled to the ground and definitively defeated.

Not one to give up so easily, Kalamidas has now come up with another FTL scheme (which I christened TKO, for The Kalamidas Option). "Refute this one, Nick," he challenged.

Well, before I could refute TKO, I had to understand it. So I made a little sketch, which Kalamidas agreed captured the gist of his new scheme.

Kalamidas's TKO Superluminal Signaling Scheme

In the TKO scheme a single photon |1> is divided by a beam splitter into two equal paths |a> and |b> and recombined at ALICE's beam splitter into two other paths |c> and |d>. This simple photon divide-and-recombine scheme is called a Mach-Zehnder (MZ) interferometer which has found numerous uses in the field of optical physics. Before the |b> photon enters her beam recombiner, ALICE has the option to add a phase Q to the |b> beam, altho in the TKO scheme ALICE does not exercise this option.

In BOB's |a> beam is placed a photon up-conversion crystal (symbolized by the blue circle labeled XTL which, with 100% efficiency, converts two incident photons to one photon with twice the energy. This double-energy photon (which Kalamidas calls OMEGA) exits the scene along path |H>.

In the simple MZ configuration the up-conversion crystal XTL is never triggered, since there is never more than one photon |a> in BOB's beam.

But then BOB adds a second pulsed source of light |G> that is timed to strike the XTL at the same time as each of the |a> photons. If |G> were a simple pulsed source of single photons |1>, then this XTL would remove every |a> photon from BOB's beam by transforming |1> + |a> into an OMEGA. No |a> photons would ever be sent to ALICE who would receive only |b> photons. No interference (between photon path |a> and path |b> would ever occur. The resulting situation would be utterly boring.

So instead of letting |G> be a boring source of single photons, Kalamidas makes |G> a more interesting source of "Gray Light" which is a coherent superposition of the zero-photon vacuum state |0> and the single photon state |1>:

|G> = X |0> + Y |1>         EQ 1

where X^2 + Y^2 = 1

So now whenever the Gray Light contains a single photon |1> (which happens with probability Y^2), this photon combines with BOB's photon |a> and is removed from the |B> beam by the up-converting XTL in the form of a doubled-frequency OMEGA photon.

Whenever the Gray Light contains the zero-photon vacuum state |0> which happens with probability X^2, then photon |a> remains unmolested and travels to ALICE's beam combiner where it's mixed with ALICE's photon |b>.

Given this physical setup, how does ALICE send a signal to BOB?  In Kalamidas's scheme, ALICE has two options which I call YES and NO. In the YES option she sets her beam combiner to 50/50 and maximally mixes photons |a> and |b> into her outputs |c> and |d>.

Choosing the NO option, ALICE removes her beam combiner (or equivalently sets its transparency to 100%) so the |a> and |b> photons do not mix. Photon |a> goes directly into counter |c> and photon |b> goes directly into counter |d>.

ALICE's choice amounts to a decision whether to mix photons |a> and |b> (YES) or not to mix the photons (NO). If BOB observes any difference in his results when ALICE switches between YES and NO, then this difference can be used to send a signal faster than light.

If BOB's experience is always the same, then no signaling occurs.

I looked at TKO and came up with an immediate refutation.

Let's suppose that the Gray Light is equally divided into NOTHING (the vacuum state |0>) and SOMETHING (the one-photon state |1>). This means that half the time there is a Gray-Light photon hitting the crystal and half the time there is not.

1. Whenever there is not a Gray Light photon, BOB will see nothing = 50% of the time.

2. Whenever there is a Gray Light photon but no |a> photon, BOB will see 1 photon. This happens 25% of the time since the photon takes path |b> 1/2 the time and Gray light emits a photon 1/2 the time: 1/2 x 1/2 = 1/4 = 25%

3. By the same reasoning whenever there is a Gray Light photon that meets an |a> photon, BOB will see nothing, because the Gray Light photon will be converted into an OMEGA.

By adding up all possibilities we see that 50% of the time BOB sees NOTHING, 25% of the time he sees an OMEGA and 25% of the time he sees ONE PHOTON.

Furthermore this 50/25/25 behavior is completely independent of any action on ALICE's part. Therefore no signaling ever takes place. 

I considered this refutation particularly simple and obvious. So I sent my result to Kalamidas.

"No, no, no, no, Nick! You did not even look at what I have written (his seven pages of hand-inscribed notes). Your calculation is much too simple. IT IGNORES ALL THE PHASES!"

"Phases?"

"Yes, Nick, phases." BOB does not just get either SOMETHING or NOTHING at his detectors, He gets SOMETHING and NOTHING between which there exists a definite phase relationship. And that phase relationship depends on ALICE's choice of YES and NO."

"Phases, Demetri? Phases between SOMETHING and NOTHING?"

"Yes, Nick, phases between SOMETHING and NOTHING. That's what makes Gray Light so special. Gray Light's not a mere incoherent mixture of SOMETHING and NOTHING. Gray Light is a coherent superposition (like Schrodinger's Cat) -- a superposition of two possibilities that are linked by a definite phase relationship, a relationship between two objects that only makes sense in quantum mechanics. "

"Yeah, buddy. I know about phases. Phases are the meat and potatoes of every quantum calculation. But in my way of thinking, phases only exist between actual possibilities of something happening. How can NOTHING possibly possess a phase?"

"It can, it does. And that fact is the secret ingredient of my TKO scheme. Check it out, dude. If you include phases in your calculation for what BOB sees (including the phase of the vacuum state |0>) you'll discover (just like I did) that BOB sees something when ALICE makes her YES choice and BOB sees something different when ALICE makes her NO choice. I don't have to tell you, Nick, that if my result is correct, then FTL signaling is a done deed, hence signaling backwards in time, hence breakdown in causality and hence AN END TO THE WORLD AS WE KNOW IT!"

"Ummph! I gotta sit down and think a bit about whether NOTHING can possess a phase. Let me get back to you, man."

So Nick gets out his optics books and several cups of coffee and generates a little essay called: "Can NOTHING have a phase? And he decides YES. So the Kalamidas TKO proposal must be taken seriously.

Paying attention to vacuum phases, Nick calculates what BOB will see for ALICE's two choices of 1. inserting a beam splitter -- a choice I call YES. and 2. taking out her beam splitter and observing the |a> and |b> photons separately -- a choice I've called NO.

And here are the results: here is what BOB sees when ALICE makes her two choices:

YES ===> [ |G(1)> ] + 1/2 Y [ |1> ] + sY [ |0>           EQ 2

NO ===> s [ |G(2)> ] + sX [ |0> ] + sY [ |0> ]               EQ 3

where |G(1)> and |G(2)> are two different kinds of Gray Light given by:

|G(1)> = X |0> + Y/2 |1>  and |G (2)> = X |0> + Y|1>    EQ 4

where the square brackets [ ...  ] indicate a quantity that has "lost its phase" and must be added incoherently. Inside the square bracket, phases still must be taken into account. I have found this unconventional square bracket notation useful in dealing with entangled systems which routinely destroy the phases of entangled sub-systems while preserving the phases of the system as a whole

These results express the quantum amplitudes that appear in BOB's observation channel |B>. To obtain probabilities these amplitudes must be squared. But squaring these raw amplitudes will destroy the phase relations and merely reproduce the results that Nick obtained earlier -- if phases are not important then BOB's results don't depend on ALICE's two choices so no signaling can occur.

But BOB is not restricted to merely passively observing the output of his |B> channel. Instead he has the option to deploy a phase-sensitive detector at |B> that might be able, in principle, to detect the two different forms of Gray Light that appear in EQ 2 and EQ 3. Such a detector might be realized by optical homodyne experiments -- subtle kinds of experiment that have produced such peculiar phenomena as the famous "squeezed vacuum state". Both Demetrios and I begin to look into the homodyne literature for some clue as to how BOB might effectively carry out a phase sensitive measurement.

Our literature search went nowhere. Homodyne experiments seemed designed for tasks far removed from our concerns. At this point Kalamidas and I were stuck. Our search for a REAL MACHINE that could measure the phase between NOTHING and SOMETHING had come up empty handed.

But then came the crucial breakthrough. We both realized this: "We don't got to show you no steenking measuring device". At this early stage the TKO proposal is only a thought experiment, which meant that Demetrios and I had unrestricted access to the vast warehouses of the ACME thought experiment Super Store. The fabled ACME warehouse contains all conceivable measuring devices provided only that they don't violate the laws of physics. The ACME shelves, for instance, are empty of perpetual motion devices and quantum-state Xerox machines. Who supplied that box-on-a-spring which could weigh a single photon, that Einstein used in his famous debate with Bohr? ACME, of course. Or its European equivalent.

Before we raid the ACME shelves, let's take a closer look at BOB's two results. On the surface his YES and NO results look completely different, with the exception of the last zero-photon event sY [ |0> ] which occurs only when an OMEGA is created. This OMEGA term is common to both of ALICE's choices. On the other hand the fact that BOB's two remaining terms seem distinctly different (the same result Kalamidas obtained on page 5 of his hand-written manuscript) gives us hope that, equipped with a 100% sensitive phase-discriminating device, BOB might be able to detect a difference between ALICE's YES and ALICE's NO choices. Hence, given an appropriate device from the ACME store, the TKO proposal might actually work as an FTL signaling machine. Such was our optimistic expectation.

So this is what I ordered from ACME -- a device (called GL (MAX) that splits reality into two orthogonal kinds of Gray Light which I call |S> and |D>:

|S> = s ( |0> + |1> )     And |D> = s ( |0> - |1> )      EQ 5
  
where s = 1/SQRT (2)

The detector GL (MAX) is maximally sensitive to the phase angle between NOTHING |0> and SOMETHING |1>. If this phase angle is positive, the photon ends up in detector |S>. If this phase angle is negative, the photon ends up in detector |D>. In the general case where the phase angle (and amplitude) can be anything, the photon has a definite (and calculatable) probability of ending up either in detector |S> or detector |D>. How the detector GL (MAX) might be physically realized is not our concern. If there were a way to make tons of money from this kind of photon phase detection, a detector of the type GL (MAX) would soon be realized.

Lacking a plausible real way to measure photon phases, Kalamidas and I resort to the ACME thought-experiment warehouse. The price is certainly right: this "ACME Miracle Detector" costs absolutely nothing.

The first thing to notice about the ACME Miracle Detector is that BOB's basis states NOTHING |0> and SOMETHING |1> can be conveniently expressed in terms of AMD states |S> and |D> as:

|0> = s ( |S> + |D> )      |1> = s ( |S> - |D> )                EQ 6

These two expressions will be especially useful for expressing EQ 2 and EQ 3 in terms of phase-sensitive quantum states |S> and |D>. And also useful for calculating the probabilities of the responses of our two orthogonal miracle-detector results <S|S> and <D|D>

Expressing EQ 2 and EQ 3 in terms of the miracle detector bases |S> and |D>, we easily obtain:

YES => s { [ (X + 1/2 Y) |S> + (X - 1/2 Y) |D>]  + 1/2 Y [ |S> - |D> ]}
+ 1/2 Y [|S> - |D>]

NO => s^2 { [(X +Y) |S> + (X-Y) |D>] + X [ |S> + |D>]}
+ 1/2 Y [ |S> - |D> ]

EQ 7 & EQ 8

where the square brackets [... ] indicate no external phase -- inside the brackets, amplitudes do coherently combine, but each bracketed quantity as a whole must be added incoherently to each of its bracketed fellows.

EQ 7 & EQ 8 represent the quantum amplitudes at BOB's |S> and |D> phase-sensitive detectors for each of ALICE's choices.

To determine the quantum probabilities at BOB's |S> and |D> phase-sensitive detectors, we calculate the absolute squares of EQ 7 & EQ 8.

YES PROB ==> 1/2 {(X^2 + XY + Y^2) <S|S>
+ (X^2 - XY + Y^2) <D|D> }

NO PROB ==> 1/2 {(X^2 + XY + Y^2) <S|S>
 + (X^2 - XY + Y^2) <D|D> }

EQ 9 & EQ 10

The final result is that both of these probabilities are exactly the same for all values of the Gray Light parameters X and Y. Thus what happens at BOB's |B> channel, even if BOB is able to deploy perfect miracle phase-sensitive detectors from ACME,  is completely independent of ALICE's actions. ALICE can send no signal, superluminal or otherwise, to BOB.  The exact equality of EQ 9 and EQ 10 means that the TKO proposal totally fails. This result was initially obtained using unconventional square bracket notation, but Kalamidas has independently reached the same conclusion using a standard density matrix calculation.

Although, in common with all previous FTL schemes, the TKO proposal ultimately failed, its detailed refutation led me to places I'd never been before. Highly rewarding was the journey. Thanks much, Demetrios, for taking me along on your trip.


Omega Centauri, the sky's brightest globular cluster



Sunday, April 24, 2016

April Showers 2016

Lord Mayor of Belfast, Nichola Mallon, Bell's brother and sister plus a few fans dedicate a street in Belfast's Titanic Quarter named after John Bell's quantum entanglement theorem.

APRIL SHOWERS 2016

I missed April Fools Day this year. It went right by me. But April's not yet over. So here's a few foolish links to brighten your day.

1. Belfast dedicates a street to Bell's theorem. On the fiftieth anniversary of Belfast-born John Stewart Bell's famous quantum-connectedness theorem, the city of Belfast, North Ireland, pulled out the stops to celebrate their favorite son -- the first city in the world, I would guess, to name a street after a theorem in mathematics. Now which theorem do you suppose will be the next to be so honored? I'm pushing to have the dirt road in front of my house renamed "No-cloning Theorem Way."

2. Nice film here on YouTube about the life of Grigori Perelman, the Moscow mathematician who proved the Poincare' Conjecture. No street named after this conjecture yet, so far as I can tell. The film is in Russian with English subtitles and features mainly interviews with Perelman's colleagues. The reclusive genius shuns both fame and fortune and appears mainly in blurry snapshots.

3. Nice article here on a fascinating site called Philosophy of Science Portal about Corning, the American company that invented Gorilla Glass, the superstrong, transparent substance on the front of every iPhone. Corning makes good stuff: I love my little Corning Visions-series all-glass sauce pan in which I cook my breakfast sausages.

4. Can NOTHING have a phase? This is a short pdf by Nick about whether the electromagnetic vacuum state, symbolized by |0> can possess a phase angle. And if so, how to effectively produce Gray Light, which is a coherent superposition of NOTHING (the vacuum state |0>) plus a single-photon Fock state |1>. Nothing to see here, ladies and gentlemen. Please move along.

5. From science impresario John Brockman's Edge.org site, Korean futurist Jaeweon Cho's Feces Standard Money proposes to give a job to every human being and to develop a new basis for money.

6. Podcast #469 from Lorenzo Hagerty's Psychedelic Salon features Terence McKenna speaking at Esalen Institute on "Philosophy With the Gloves Off".  In this workshop Terence takes questions from his audience including an inquiry concerning the use of psychedelics as aphrodesiacs which Terence handles with remarkable grace and insight.

Double-slit skirt experiment



Tuesday, April 12, 2016

KHAN: A New Superluminal Signaling Scheme

Kublai Khan: character sketch for Marco Polo by Jose Lopez
KHAN: A New Superluminal Signaling Scheme

A few years ago CCNY graduate Demetrios Kalamidas proposed a clever FTL signaling scheme that was refuted both in general and in its very specifics by an international team of quantum opticians. Details here, here and here. At the heart of the Kalamidas scheme is his original method of which-path info erasure that would seem to merit closer attention. Before Kalamidas, the conventional method of erasing information about which of two paths a photon took was to confuse the observer by combining those two paths, either by directly bringing the two beams together with a positive lens or with a wedge-shaped mirror, mixing the two paths in a 4-port optical beam splitter, or overlapping the two diffraction patterns resulting from each path being sent through one of two closely-spaced double slits. The most beautiful feature of his new scheme is that Kalamidas is able to erase which-path info from two paths without actually having to combine the two paths.

FIG A.  1. Path-entangled photon possessing full which-path info; 2. Erasing which-path info using diffraction at a double slit;  3. Erasing which-path info by combing paths in a beam splitter.
 EQ 1 in FIG A displays the wave function for a typical path-entangled photon. In the same quantum way that Schrödinger's infamous cat can be both dead and alive, a single photon can travel two paths at the same time. The difference is that humans lack the ability to form quantum superpositions of cats but anyone can produce path-entangled photons by the trillions. (It happens naturally at every window pane -- if quantum physics is correct, each photon until it's actually observed exists for an instant in a superposition of both being reflected and being transmitted thru the glass: a mundane example of one photon temporarily traveling two paths at once.)

FIG A1. illustrates the case where which path the photon takes can be decided by merely placing one photon detector in each beam. Examples 2. and 3. show two ways that which-path info can be erased thru combining the two paths. In these two cases the photon can be coaxed into showing off its wave nature by "taking both paths at the same time" and "interfering with itself" with the result that large numbers of identical photons will produce a diffraction pattern or some other periodic behavior that is characteristic of waves of a certain wavelength.

Which-path info erasure leads inevitably to the possibility of forming interference patterns, so a brand-new erasure method (such as that proposed by Kalamidas) can be expected to lead to a brand-new way of forming interference patterns.

FIG B. Which-path info erasure via the Kalamidas Option
FIG B illustrates the development of the Kalamidas Option in three steps. Step 1 shows the path-entangled photon traveling unhindered along both paths. Detectors A and B unambiguously decide along which path the photon actually went and which path was untraveled. In Step 2, Kalamidas puts a 50/50 beam splitter into both path A and path B. Now there are four possible detection events corresponding to the four different detectors [A1 A2 | B1 B2]. I will use the symbol [10|00] to indicate the case where the photon triggers detector A1. And symbol [00|01] indicates that the photon has triggered detector B2. At this stage which-path info is still intact: it is always possible to infer from the detector response which path the photon took. And hence no wave phenomena will be observed.

However the fun begins at Step 3. Here at each beam splitter we introduce a new kind of light which I call "Gray Light" whose photon number is uncertain. Gray Light consists of an equal superposition of one photon |1> and zero photons |0>. Such a number-uncertain beam is not difficult to produce. Its quantum wave function is written:

Ψ = s |0> + s |1>     where s = 1/√2

This use of Gray Light is due to Nick Herbert. In his original FTL proposal, Kalamidas used weak coherent light as his photon-number-uncertain source. The math is more complicated for Kalamidas's original scheme than for Gray Light.

Even with the addition of Gray Light to the mix, photon which-path info is still largely preserved. There are two cases to consider:  Either the photon is in the path (which I call FULL) or the photon is not in the path (which I call EMPTY). 

In the case where path A path is FULL, the addition of gray light leads to FIVE different outcomes [10], [01], [11], [20] and [02]. If path A is FULL, then path B must be EMPTY and the addition of Gray Light to an EMPTY path results in THREE different outcomes for path B, namely [00], [10] and [01]. The number of different outcomes for A FULL/B EMPTY is just FIVE x THREE = 15. Similarly the number of different outcomes for B FULL/A EMPTY is also 15. But four of these outcomes (the so-called "Kalamidas Outcomes") are identical so the addition of Gray Light leads to a total of only 26 different detector outcomes rather than 30.

For most of these outcomes, which-path info is strictly preserved. For instance, outcomes of the form [11]. [20] and [02] can only occur in a FULL path. And outcome [00] can only occur in an EMPTY PATH.

The only outcomes which could have been produced by either a FULL or an EMPTY path are the FOUR Kalamidas Outcomes:

[10|10], [10|01], [01|10], [01|01]    The Four Kalamidas Outcomes

If only one photon is detected in each path, there is no way of knowing whether this was a Gray Light photon added to an EMPTY PATH or a FULL PATH unaltered by Gray Light. The rules of quantum mechanics say that if two processes can lead to the same output, then you must add the amplitudes of these two processes coherently. Coherent addition leads to interference effects. So Kalamidas's trick of adding number-uncertain light can lead to the interference of two beams of light without having to actually combine the two beams. To observe this interference we place a variable phase delay expQ in path B. 

When the input to the Kalamidas Machine is given by EQ 1, namely an equal-amplitude coherent superposition of  FULL A/ EMPTY B and FULL B/ EMPTY A beams, the probability of observing the four Kalamidas Outcomes is:

[10|10] = 1/16 (1 + cosQ)  [10|01] = 1/16 (1 - cosQ) 
[01|10] = 1/16 (1 - cosQ)  [01|01] = 1/16 (1 + cosQ)
COHERENT SUPERPOSITION

The presence of the cosQ term is a sure sign of wave behavior: the two beams, though physically separate are interfering with each other in a periodic way. Only the four Kalamidas Outputs show this wavelike behavior; the other twenty-two outcomes (for whom which-path info is still intact) remain constant while the phase angle Q is varied, rather than oscillating like the KO terms.

If, instead of a coherent superposition, our input to the Kalamidas Machine is an incoherent superposition, then the interference terms vanish. In other words, when the single photon takes BOTH PATHS (coherent superposition), the Kalamidas outputs show waves. When the single photon takes EITHER path A OR path B (incoherent superposition), wave behavior vanishes. For incoherent superposition, the probability for the Kalamidas Outputs becomes:

[10|10] = 1/16    [10|01] = 1/16
[01|10] = 1/16    [01|01] = 1/16 
INCOHERENT SUPERPOSITION

For incoherent superposition input, the Kalamidas outputs are constant. Note that the sum of the probabilities of each of these cases is 1/4, indicating that in a long experimental run, a Kalamidas output can be expected to occur 25% of the time.

The fact that the Kalamidas Machine seems able to detect the difference between a coherent and an incoherent single photon two path superposition is the inspiration for a new faster-than-light signaling scheme I call KHAN (for Kalamidas-Herbert Augmented Nearness).

FIG C. KHAN superluminal signaling scheme
To achieve FTL signaling we need a source of TWO path entangled photons, one photon going to ALICE (along two paths C and D) and one going to BOB (along two paths A and B). The entanglement is such that BOB's path A photon is always linked to ALICE's path C photon. And BOB's path B photon is always linked to ALICE's path D photon. Each pulse of light produces TWO PHOTONS -- one which goes to ALICE and one which goes to BOB. But each of these photons can take two paths at once. Not so easy to explain in words. FIG C explains it better and even includes an equation.

In the KHAN scheme ALICE is the sender and BOB the receiver. ALICE attempts to signal BOB by switching her photon from an INCOHERENT MIXTURE to a COHERENT MIXTURE of paths. Since the Kalamidas Machine responds differently to these two types of light, success would seem to be assured.

ALICE possesses a beam splitter whose transparency she can change from 100% to 50/50 transmission/reflection. When ALICE chooses Option A (100% transmission) her detectors reveal which-path info (Alice's photon takes either path C or path D): Mutual entanglement forces BOB's photon to likewise take a definite path, so the Kalamidas Machine indicates INCOHERENT SUPERPOSITION (no wavelike behavior: no dependence on phase angle Q).

On the other hand when ALICE chooses Option B (50/50 beam splitter) she erases all path information both at her site (and by mutual entanglement) at BOB's site as well. When ALICE chooses Option B, the input to the Kalamidas Machine is COHERENT PATH SUPERPOSITION, so BOB should observe wavelike behavior: periodic dependence on phase angle Q.

For ALICE's Option A: the ALICE/BOB entanglement takes the form:
Ψ (ABCD) = s ( |A0>|C0> + |B0>|D0>)  ALICE's Option A

For ALICE's Option B, the ALICE/BOB entanglement takes the form:
Ψ (ABCD) =S { (|A0> + i |B0>) |C0> + ( i |A0> + |B0>) |D0>}  ALICE's Option B
where S = √2 and s = 1/√2. For ALICE's beam splitter I have used the symmetric convention where both reflections are multiplied by i.
 
When you do the calculation for the KHAN scheme, there is a sense in which both of these things happen -- 1. no waves at BOB's site for ALICE's Option A and 2. waves at BOB's site for ALICE's Option B. But in spite of this marvelous seemingly instant change at a distance from no-wave to yes-wave, this process cannot be used for superluminal signaling.

INCOHERENT: When Alice chooses Option A and measures a photon in her path C, all four output of the Kalamidas Machine have the same constant probability: No wave behavior. Same when Alice measures a photon in path D.

[10|10] = 1/32    [10|01] = 1/32
[01|10] = 1/32    [01|01] = 1/32
OPTION A: ALICE MEASURES PHOTONS AT C

[10|10] = 1/32    [10|01] = 1/32
[01|10] = 1/32    [01|01] = 1/32
OPTION A: ALICE MEASURES PHOTONS AT D

[10|10] = 1/16    [10|01] = 1/16
[01|10] = 1/16    [01|01] = 1/16
OPTION A: ALICE MEASURES PHOTONS AT BOTH C AND D

COHERENT: When Alice chooses Option B and measures a photon in her path C, all four outputs of the Kalamidas Machine show wave behavior of the form [M + N sin Q] where M and N are constant. If we limit our observations only to the case where ALICE observes a photon in path C, then the Kalamidas Machine shows undeniable wave behavior at all four output ports.

This looks good but the worst is still to come. When Alice measures a photon in her path D, all four outputs of the Kalamidas Machine now show wave behavior of the form [M - N sin Q].

Since both these ALICE outputs (C and D) happen at random with equal probability, the total probability of the Kalamidas Outputs is 2M. All wave effects vanish.

[10|10] = 1/32 (1 + sin Q)    [10|01] = 1/32 (1 - sin Q)
[01|10] = 1/32 1 - sin Q)    [01|01] = 1/32 (1 + sin Q)
OPTION B: ALICE MEASURES PHOTONS AT C

[10|10] = 1/32 (1 - sin Q)    [10|01] = 1/32 (1+ sin Q)
[01|10] = 1/32 1 + sin Q)    [01|01] = 1/32 (1 - sin Q)
OPTION B: ALICE MEASURES PHOTONS AT C

[10|10] = 1/16    [10|01] = 1/16
[01|10] = 1/16    [01|01] = 1/16
OPTION B: ALICE MEASURES PHOTONS AT BOTH C AND D

We can see from this explicit calculation of the results of the KHAN scheme, that each INTERFERENCE EFFECT linked to ALICE's path C is exactly canceled by an equal and opposite ANTI-INTERFERENCE EFFECT linked to ALICE's path D. This kind of mutually canceling wave behavior is experienced over and over again by presumptive FTL signaling engineers. Wave behavior undoubtedly appears at BOB's site when ALICE erases her which-path information -- as can be verified by looking at all of BOB's outputs while triggering only on one of ALICE's outputs. But when both of ALICE'S outputs are taken into account -- as is the case in any FTL signaling scheme -- the waveness at BOB's site tied to one of Alice's outputs is EXACTLY CANCELED by the waveness tied to the other of Alice's outputs.   I have dealt with this (seemingly inevitable) phenomenon in a previous post.

So farewell to the KHAN scheme for superluminal signaling. Even though the effort failed, it was fun learning how to carry out the calculations using Kalamidas's clever new method of path erasure. Something imaginative and new like this almost never fails to excite me. Thanks, Demetrios.



Sunday, March 20, 2016

Northern Hemisphere Spring 2016: Irish Tantra

William Butler Yeats (1865 - 1939): Nobel Laureate 1923
CRAZY JANE
TALKS TO THE BISHOP

I met the Bishop on the road
And much said he and I.
"Those breasts are flat and fallen now,
Those veins must soon be dry;
Live in a heavenly mansion,
Not in some foul sty."

"Fair and foul are near of kin,
And fair needs foul," I cried.
"My friends are gone, but that's a truth
Nor grave nor bed denied,
Learned in bodily lowliness
And in the heart's pride.

A woman can be proud and stiff
When on love intent;
But Love has pitched his mansion in
The place of excrement;
For nothing can be hale or whole
That has not been rent."

---William Butler Yeats (1933)

Arago Spot: Green

Friday, March 18, 2016

St Paddy's Day 2016


SONG OF THE IRISH WHISTLE
with apologies to Joanie Madden

Sure, it's a holy instrument
Like everything that comes from God
You must learn to hold her reverently
Like Father Kelly's Holy Wafer
Or a patch of Irish sod.

Close your lips around her fipple
And thru her narrow airway
Blow a prayer across that tilted floor
Called "labium" when there's one of them
And "labia" when there's more.

Now the noise she makes is frightful
Like a pack o' banshees wailin'
The men are rising from their seats
And now your life depends
On the music you can coax from her
With your fancy fingerin'

Sure breathin' (and tonguin') have to be mastered
But they're just a part o' the thing
For it's how ye move yer flesh
Across the openings, laddie,
That makes the Irish whistle sing.

You may play in a grove
You may play in a pub
You may play with a maid in the spring
But playing the Irish whistle
You must mind your fingering
For it's how ye move yer flesh
Across the openings
That makes the Irish whistle sing.

Sure, it's how ye move yer flesh
Across the openings
That makes the Irish whistle sing.




Saturday, March 5, 2016

Sol Entangler

Circular Diffraction: Arago's Spot
 I want to woo Her not view Her
Pet Reality until She purrs
Longing to merge with Dame Nature bodily
Yearning to mingle my substance with hers
And them content with merely observing
Are nothing but Nature's voyeurs.

The goal of quantum tantra is to discover a new way of connecting with Nature that involves both mind and quantum mechanics. An early interview by Abu Ben Nooma, author of Red-Light Bardo captures some of the spirit of this quest as does Rudy Rucker's short fiction Panpsychism Proved recently published in Nature magazine. 

While searching for that all-important clue to a quantum-tantric breakthrough, Nick has been amusing himself by writing dozens of QT-inspired poems and designing/building a handful of "Preposterous Devices" that attempt to capture some of the flavor of this new science. Since these devices possess no theoretical basis (the science they pretend to demonstrate does not yet exist), they are mere guesses, shots in the dark, desperate premonitions and hardwired petitions to my Muse to grant me fresh inspiration for quantum-tantric gadgets that will actually work and for a new vision of Nature that will change the world.

My first preposterous device was called "The METAPHASE TYPEWRITER" after the hypothetical "metaphase membrane" that separates matter and mind. The MT uses a quantum-random radioactive source and Geiger counter to drive an English-language biased text generator. The MT was conceived of as an "empty channel" that might be possessed by living beings, by discarnate entities, by angels, devils or spirits of any variety. The Metaphase Machine was operated during the 1970s in a great variety of high psychic energy situations without any noticeable success.

Metaphase Typewriter: Yellow plastic tube houses radioactive source and Geiger counter
 Later with the help of Richard Shoup, who then worked at Xerox PARC in Palo Alto, I devised the QUANTUM METAPHONE which converted the metaphase device into a quantum-driven voice box, a kind of supernatural "Siri" designed to let spooks speak. None deigned to talk to us.

Metaphase Sound Machine by Dmitry Morosov, Moscow. This project was commissioned by Future Everything (Manchester) and Laboratoria Art & Science Space (Moscow)
 Recently a few artists have been inspired by the MT to produce quantum-driven devices of their own design. Lynden Stone, working at Queensland University in Australia instigated the Metaphase Typewriter Revival Project producing a quantum text generator using modern physics hardware and computer interfaces that was exhibited in both Australia and America. Lynden's doctoral thesis explored some of the history of art inspired by modern physics which includes her lovely painting Schrödinger's Puss featured at the bottom of this post. Meanwhile, in the former Soviet Union, prolific Moscow multi-media artist Dmitry Morosov (who goes by the name "::vtol::") produced a sound and motion machine driven by quantum-random nuclear decay which ::vtol:: claims was inspired by the Metaphase Typewriter.

The biggest flaw in the metaphase class of quantum mind-matter devices (Quantum Answering Machines) seems to be the assumption that spirits can alter radioactive decay to send messages to the living. A promising direction for further QUAM research might be to seek different sources of quantum "randomness" to drive the communication channel, for instance the recent device of Shi et al at the University of Singapore that derives random numbers from fluctuations in the quantum vacuum.

Dr & Mrs Future testing the Stellerator
 Another class of preposterous device (hoping to connect minds together using quantum theory) works on the notion of linking two people's consciousnesses together by, loosely speaking, arranging for them "both to attempt to observe the same photon". This purported quantum linkage is achieved by having both participants view light whose "radius of coherence" extends across both of their retinas. This kind of device might be called a Quantum Intimacy Machine (QUIM).

The first quantum intimacy machine (called the STELLERATOR) exploits the fact that the "lateral coherence radius" of light from distant stars is huge. The star with the smallest lateral coherence radius is Betelgeuse in the Orion constellation. This star's LCR is eight feet wide; every other star in the sky has a larger value of LCR.

The value of the LCR, loosely speaking, is a measure of the width of the photon wavefunction, an indication of the extent to which a single photon can "be in two places at once" while still maintaining its integrity (oneness).

There is a sense in which light from Betelgeuse is made up of a collection of eight-foot wide pancakes of light, each representing a single photon. These photon pancakes are very thin (the longitudinal coherence length is comparable to the wavelength (a fraction of a micron)) so that these stellar discs are less like flapjacks and more like very thin crepes. And each of these single-photon crepes is hurtling down from every star in the sky at the speed of light.

The stellerator is a simple hollow tube which allows two observers to focus their attention on a single star and to compete as to who will "collapse the crepe-shaped photon wave functions" from that star. The guess/hope/conjecture is that this simple activity of constrained star gazing will link the minds of the participants in a new and notable way.

One big flaw in Stellerator theory is that the photon pancake is so large that every object inside an 8 ft radius (in the case of Betelguese) is competing for the same photon. Thus the participation of two human retinas in "collapsing the photon wave function" is minimal compared to the grass, the rocks, the dirt around you. What's needed is a coherent source made of smaller pancakes, pancakes the same size or smaller than the dark-adapted human iris (about 3 mm).

The Lunerator uses reflection to produce two coherent beams.
 Enter the LUNERATOR, a purported quantum intimacy machine that uses the Moon as a source of coherent light. The size of the coherence disk is inversely proportional to the apparent size of the heavenly body. Stars appear very small so their coherence disks are large. On the other hand, both the Moon and the Sun loom large in the sky (apparent diameter of about 1/2 a degree) so their lateral coherence radii are correspondingly small, approximately 0.1mm (about 10 times the size of a red blood corpuscle), hence able to shoot comfortably thru the iris-hole of any human being.

The Lunerator takes a stream of moonlight (which consists of tiny amoeba-sized wafers of elemental light) and, using a half-silvered mirror, splits this photon stream in two and directs each half stream to a different observer. Now according to quantum theory, each photon wafer TAKES BOTH PATHS, so each observer in theory can compete to collapse the wave function of the same photon with God-only-knows-what effect on the subjective experiences of the participants in this peculiar new way of sharing lunar light.

A brand new improvement on the Lunerator is the SOLARATOR (called by some a Sol Entangler) which is similar in many respects to the Lunerator (same lateral coherence radius, for instance) with the added advantage of higher intensity and spectral separation. (Spectral purity increases the longitudinal coherence length, thereby making the photon pancakes thicker). Instead of using a half-silvered mirror to split the beam in two, the Solarator employs a mirrored diffraction grating provided by a blank DVD disk masked down to a working diameter of a few millimeters. As with the Lunerator, the two beams (now each a pure spectral color rather than cream-colored moonlight) are sent to two observers who compete to collapse the same photon's two-part wave function.

The Solarator uses diffraction to produce two coherent beams

Solarator in action.

 When I first conceived these various photon-sharing-based quantum intimacy machines, I believed that they were each an example of quantum entanglement. But that is not the case. Each of the photon wave functions in all of these three examples is factorable, hence not entangled. The only non-locality which these devices possess is a kind noted by Einstein early in the quantum game when he noticed that light from a single atom is supposed to emit a wave function which travels to all parts of the universe where at every moment it represents the probability of a photon being observed.

But when that photon is actually observed at one single place, the probability of it being observed somewhere else instantly drops to zero, seemingly violating the relativity rule that nothing can travel faster than light. It's this kind of non-locality that's operating in these three putative quantum intimacy machines. However, hundreds of labs all over the world daily produce truly entangled photon beams which might be utilized for the next generation of truly entangled preposterous devices. For example, Nicolas Gisin and his buddies at the University of Geneva are already experimenting with ways of entangling human retinas using entangled light. Perhaps the next quantum tantra breakthrough will occur accidentally tomorrow in some optics lab in Switzerland.

[After this post was published, Lynden Stone reminded me of conceptual artist Jonathon Keats's Quantum Marriage in which a committed couple ceremonially bath themelves in TRULY ENTANGLED LIGHT produced by sunlight passing thru a non-linear crystal. Thanks, Lynden.]

We hold these truths to be self-evident --
This direct, non-symbolic experience of Nature-from-inside
That the Universe is filled with billions of invisible conscious beings
That every sentient creature lives equally near to the mystery
That deep reality is waiting for us to ask the right question.

Erwin's Puss by Lynden Stone, housed at Centre for Quantum Dynamics, Griffith University, Queensland, Australia

Thursday, February 25, 2016

Saturday, February 13, 2016

Happy Valentine's Day 2016

HAPPY VALENTINE'S DAY 

 

ELEMENTS OF TANTRA

Love every one of My Elements
Caress My Paradox
Embrace each phase-entangled photon
Hug My Molecules; kiss My Quarks.

The Universe is My Body
From every eye, the glance is Mine
Down every river flow My Fluids
In every thing resides My Mind.

I loved you inside your mother's womb
Your every atom have I kissed
I made you everything you are:
You treat Me like I don't exist.

When you open your eyes you gaze on My Body
You taste My Flesh with your lips
Every smell is My Sexual Attractant
Every touch is My Kiss.

Come open your sensors to Nature's flirtations
Come lend your step to My Dance
I'm only fourteen (billion) years old
But I'm eager and ripe for romance.

Love every one of My Elements
Caress My Paradox
Embrace each phase-entangled photon
Hug My Molecules; kiss My Quarks. 

Smiling Whale: Khola Shou Herbert

 

Saturday, January 30, 2016

The Life of Gia-fu Feng

Gia-fu Feng, teacher, translator and Taoist rogue
In 1970, I was working at Memorex and driving every day "over the hill" from Boulder Creek to Santa Clara. Some evenings I would stop at the very top of Bear Creek Road at Stillpoint, a Taoist community founded by Gia-fu Feng. Sipping tea, enjoying the hot tub and conversing with Gia-fu and his companions was a pleasant contrast to my role as a physicist overseeing research into the technical details of making better magnetic tape.

On one of my many trips to Esalen Institute in Big Sur in the '60s, I had heard that if you got up early (not easy for me), you could learn Tai Chi from a crazy-wisdom master from China. As long as I was there I showed up for Gia-fu's classes which seemed to be an original recipe of classic Chinese forms plus Esalen-inspired sensory awareness techniques. Outside of Esalen our paths would sometimes cross due to Gia-fu's friendship with Elizabeth Kent Gay, "the lady from Vermont" who introduced me to SF dancer Betsy who eventually became my wife. I liked Gia-fu. He was cheerful, smart and unpredictable.

I recently discovered that Carol Ann Wilson, the sister of the woman to whom Gia-fu left his estate (including a stream-of-consciousness story of his life) has written a biography called Still Point of the Turning World.

published by Amber Lotus, Portland, Oregon
Since Carol had never met Gia-fu and was merely carrying out her sister's legacy, I expected a fact-filled book without much spirit. I was pleasantly surprised by Carol Ann Wilson's ability to capture the essence of this unusual man. Reading her book (it is written in the present tense) feels like following Gia-fu himself (and his thoughts) through the daily adventures of his extraordinary life.

Born in 1919 as the third son of a successful Shanghai banker, Gia-fu and his eight siblings were well-educated in both modern and classical Chinese subjects. Near the end of his career, the father's greatest pride was a wall in his house displaying his children's many academic degrees.

The Feng family's life is soon disrupted by the Japanese invasion and occupation of China. With her ability to put the reader into the thick of things, Carol Wilson brings to life (thru Gia-fu's eyes) the chaos in China caused by the strife between three warring factions, the Japanese, Chiang Kai-shek's corrupt but US-backed Free China army plus the growing Communist forces led by Mao Tse-tung. Shortly after the war ends Gia-fu and his younger brother Chao-hua board a ship for America, the first intending to study international finance, the other engineering. Thirty years pass before Gia-fu is able to return home. Meanwhile Carol Wilson relates the fate of the formerly wealthy Feng family under the new Communist government -- an intimate look at modern history through its effect on people whom you have come to care for.

Gia-fu enrolls at the Wharton school in Philadelphia but, becoming increasingly disoriented by American culture, he "hops in an old jalopy" and wanders across the United States, a trek which eventually leads him to San Francisco where he finds a position with Alan Watts at the American Academy of Asian Studies both as student and translator. Arriving in the midst of the San Francisco Renaissance, Gai-fu becomes friends with writers Alan Watts and Jack Kerouac, poets Lew Welch, Gary Snyder and Lawrence Ferlinghetti, and other talents, among them fellow student at the Academy and future cofounder of Esalen Institute, Dick Price.

When Mike Murphy and Dick Price tentatively began their "human potential center" in Big Sur, Gia-fu showed up as Esalen's accountant (using an abacus), Tai Chi teacher, and "keeper of the baths".

Gia-fu eventually finds Esalen too hectic for his tastes and starts his own center called Stillpoint on Bear Creek Road high above Silicon Valley. There he meets Jane English, a physicist from Berkeley, and they begin a life together and collaborate on two books: Gia-fu's translations of the Tao Te Ching -- the most translated book outside the Bible -- and Chuang Tzu's Inner Chapters. Jane produces stark black-and-white photographs reminiscent of Chinese paintings which Gia-fu decorates with calligraphy. Their Tao Te Ching is an immediate success and has gone through innumerable printings.

Gia-fu's Bear Creek neighbors however are not happy living next to a Taoist tea house and Gia-fu is pressured to leave, eventually settling in Colorado where Stillpoint finds a more congenial home. His Tai Chi lessons become popular in Europe where he and Jane travel to give workshops. Eventually they separate, Jane moving to Mt. Shasta and Gia-fu remaining in Colorado. As a physicist I find their union fascinating -- the energetic meeting of yin and yang. Also notable from the science and mysticism perspective is the fact that Gia-fu and Jane helped Fritjof Capra find a publisher for his ground-breaking Tao of Physics. And that Gia-fu and Jane were also able to meet with Joseph Needham, author of the multivolume work Science and Civilization in China.

Nearing the conclusion of this engaging and well-researched biography, I am reminded of my last meeting with Gia-fu. My wife and I had just birthed a son in Boulder Creek, whom we called Khola (a short form of Nicholas) and Betsy felt that he should be christened and given a middle name. Neither of us belonged to a conventional religion so we decided that the "most sacred person" we knew was Gia-fu Feng up at Stillpont. (I can hear Gia-fu laughing in his grave at being called "most sacred person"). So we hard-boiled a bunch of eggs, decorated them in Ukrainian pysanky style and the three of us drove the few miles up winding Bear Creek Road to Gia-fu's community in the hills.

Gia-fu was pleased by our visit and improvised an appropriate christening ceremony. We had not yet chosen a name so Gia-fu opened a drawer and pulled out a Chinese character carved from wood. "This is the character 'shou'," he said, "which means 'long life'. And it's also the name of my brother who is a banker in Hong Kong." So that's how Khola got his middle name. How Khola himself came to become a San Diego banker is another story.

Thank you, Gia-fu Feng, for being such an unforgettable part of my life. And thank you, Carol Ann Wilson, for the immense care you took in producing this remarkable book about a most remarkable man. 

Nature is my teacher: Gia-fu Feng: Photo by Jane English



Monday, January 25, 2016

Doctor Hofmann's Diagnosis

FIRST ACID TEST: 50th Anniversary
DOCTOR HOFMANN'S DIAGNOSIS

Jawohl, mein Herr. 

This substance can only be
truly appreciated
by smart, sophisticated
Europeans like you and like me
who both possess advanced degrees
And strong intellectual presence.


Jawohl, mein Schatz. 

And after last night's
mind-expanding spree
I must confess I fully agree:
Lysergic Acid Diethylamide
is much too good for the peasants.