Showing posts with label David Bohm. Show all posts
Showing posts with label David Bohm. Show all posts

Tuesday, April 28, 2020

Examining The Basis Of Scientific Materialism

















Scientific Materialism  - the  philosophical basis of all our modern physics, chemistry and biology- is generally treated as if it's one monolithic entity rather than a diverse set of approaches and views. In this respect, and because of oversimplification, it becomes a more  convenient strawman for religionists of all persuasions to attack.

One reason Materialism gives so much grief to intellectual poseurs is that it is categorizable in so many different ways. Because of the complexity, most simple-minded mentalities just ditch any nuance and opt to portray the cartoon version. The problem is that this choice renders most of what they write irrelevant and insipid, especially when they claim generalities, for example asserting "Materialism commits the identity fallacy by equating mind and brain". Indeed, such general statements make them look like blinking idiots.

In this blog  post I want to clear up some of those misconceptions and also show why one form (Modern or Scientific Materialism) remains the best to economically explain such things as consciousness, and the operation of the brain.

Differentiating Types of Materialism:

Perhaps the earliest form of Materialism was Mechanical Materialism or the theory that the world (and universe) consisted entirely of hard, massy material objects, which, when imperceptibly small, were described as "atoms". This set the stage for the "atomistic materialism" promoted by the Greeks, Leucippus and Demokritos, who used it as a basis for the philosophy of Epicureanism. It may rightly be said, therefore, that this was the precursor of the reductionist/materialist/realist school of thought. This version denies that immaterial or apparently immaterial things (such as minds) exist or explains them away as being material things or motions of material things.

It is very ironic (but true) that a Greek Materialist like Demokritos would have serious problems with modern scientific Materialism and its claims for immaterial (but physical!) fields, atoms and waves! Indeed, more than one observer has indicated these early Materialists would resoundingly deny Modern Materialism!

Wherefore this "Modern Materialism" so unlike its predecessor? The need for it became manifest by the time Ernest Rutherford began his simple atomic experiments, and then Max Planck discovered the quantum (E= hf) ...leading to Erwin Schrodinger's and Werner Heisenberg's depiction of atoms as vibrating wave states of different energy. See, e.g.


This  wave emphasis meant that not only did immaterial entities exist, but they could also be quantified and have physical existence.

Thereby, modern physics conceived matter as made up of such things as electrons, protons, and mesons, which are very unlike the hard, massy, stonelike particles conjectured in primitive mechanical Materialism. Further distinction between matter and energy was also broken down via Albert Einstein's theory of special relativity which showed that energy has inertia. His most famous equation: E = mc 2, became the basis of atomic energy via nuclear reactions - both via fission and fusion.

The explosion of the first atomic bomb at Alamagordo, NM, showed in no uncertain terms this new physics wasn't some airy fairy hogwash but as real as a ten million degree fireball that could roast a human body in two nanoseconds, reducing it to a few drops of goo and fried bones. Thus, the connection from the modern physics to a new, more powerful form of modern Materialism, became inevitable.

Later, when further work on the synaptic clefts of the brain showed it to be the scale (~ 300 nm) that Heisenberg's Uncertainty Principle could apply, it became feasible to apply modern Materialism to the brain itself. But I am getting a bit ahead of myself!

The point made here is that this newfound Materialism marked the first wholly PHYSICALIST version. This sort of Materialism allowed the concept of a "material thing" to be extended to include all of the elementary particles and other things that are postulated in fundamental physical theory, even continuous fields and points of space-time (see e.g. Richard Penrose's Twistor theory).

Up until the quantum theory, few thinkers had been able to discriminate the physical from the material. Most naturally assumed in simple-minded fashion that if a thing was physical it had to be material. Probably the first hints of this being false occurred in the 1850s with the electricity and magnetism experiments of Michael Faraday, who showed iron filings could be disturbed from a distance by an invisible force. That became known as "magnetism". Later - he placed filings on a card and let an electrical wire go through the card and still found the filings disturbed but now arranging themselves into circular patterns. Thus, he made the connection that a moving electric charge can create a magnetic field which has a similar effect to a magnet!   See e.g.


Moving on, one beholds a more refined form of modern Materialism which is usually referred to as Hylozoistic Materialism. In this paradigm, everything is composed of physical entities (generally) but it introduces special laws applying to complexes of physical entities, such as living cells or brains, that are not reducible to the laws that apply to the fundamental physical entities. (To avoid inconsistency, such a theory may have to allow that the ordinary laws of physics do not wholly apply within such complex entities.) Such a theory, could also be called "emergent Materialism," and these can shade off, however, into theories that one would not wish to call Materialist. These ascribe vital characteristics to all matter, while its counterpart, panpsychism, attributes a mindlike character to all constituents of material things.

A couple of examples include Rupert Sheldrake's "morphogenetic field" biology, which basically maintains that cells divide and organize based on a supra-physical field that carries some intentionality with it. British researcher Lyall Watson carried this even further in his controversial book, Supernature.

In general, however, modern Materialism disavows such "intentionality" as being unnecessary and moreover, harboring an unproven teleology. (All physicalist Materialisms reject teleology - or the imputation of hidden purpose - in any form) Up to now Sheldrake, for all his words, hasn't been able to isolate his "morphogenetic field" and neither has Lyall Watson shown that some "super mind' exists in nature and directs it.

Rather less drastic is epiphenomenal Materialism, according to which sensations and thoughts do exist in addition to material-physical processes but are nonetheless wholly dependent on material processes and without causal efficacy of their own. They are related to material things somewhat in the way that a man's shadow is related to the man. In this form, the mind is defined as a kind of immaterial "shadow" of the brain. As we know, if a man is eliminated so also is his shadow, and in like manner, when a brain dies (brain death, no EEG signals) there is no more operative mind. Thus, mind does exist but is contingent for its existence on the brain. Up to now no one has been able to prove that a human mind yet functions once the brain is deceased.

Less well known, physicalist Materialism groups into deterministic and indeterministic categories. In the former, we find people like Albert Einstein, who refused to accept the brain's thoughts were able to arise other than by predictable, deterministic interactions. However, with the advance of modern quantum theory this simplified view gave way to an indeterministic paradigm. Much of this was championed, for example, by quantum physicists such as Henry Stapp.

Stapp pointedly noted that uncertainty principle limitations applied to calcium ion capture near synapses shows they (calcium, Ca++ ions) must be represented by a probability function.[1] More specifically, the dimension of the associated calcium ion wavepacket scales many times larger than the calcium ion itself. This nullifies the use of classical trajectories or classical mechanics to trace the path of the ions.

However, no sooner had he explicated this, than a new form of quantum determinism arose from the Stochastic Interpretation of Quantum Mechanics used by David Bohm. This then provided a more refined vehicle for determinism to operate, but this time in a quantum acausal form. Much of this was described in an earlier blog post:

Inteestingly, both indeterministic and deterministic forms were found to be amenable to brain neural net manipulation, posing the possibility of remaking the human brain-mind. See:

http://brane-space.blogspot.com/2010/11/new-brain-new-mind.html

Interestingly, in a number of ways acausal determinist quantum theory has fed directly into another offshoot of Materialism known as Central state Materialism. On account of recent developments in biochemistry and in physiological psychology, the plausibility of Materialism overall has greatly increased. At the same time, there has been a resurgence of interest in the philosophical defense of central-state Materialism. Central-state Materialists have proposed their theories partly because of dissatisfaction with the analytical behaviorism of the Oxford philosopher Gilbert Ryle. Ryle himself is reluctant to call himself a Materialist, partly because of a dislike of all "isms" and partly because he thinks that the notion of matter has meaning only by contrast with that of mind, which he thinks to be an illegitimate sort of contrast. (In other words, a kind of false choice).

It is now generally accepted that Scientific Materialism as applied to the domain of natural science is in the physicalist form.  Hence Materialism as it is understood today embraces all physical fields and interactions, of both matter and energy. The laws that govern these interactions  (e.g,. the 2nd law of thermodynamics) apply without exception to humans as well as inanimate particles/objects. The prediction of the future behavior of all physical interactions is not dependent on the existence of any supernatural agency. Thus, physical laws are complete in the sense of being able to account for all physical phenomena.

Physical scientists then have at hand a modus operandi for understanding the universe which does not entail inclusion of supernatural agents, now regarded as redundant. Not surprisingly, the Materialist is much more likely than the supernaturalist to place a premium on revering the Earth and demanding the rational disposition of its resources. As a Materialist, after all, I can examine the evidence and determine that our planet is possibly the only inhabited one, at least in our galaxy - if not the cosmos. I can also ascertain that this life is most likely the only one and that I must strive to enhance it in any way possible. I should emphatically not squander what I have now, while awaiting a mythical afterlife.

I refrain from looking to any hypothesized deity for deliverance, or lay blame for human ills on some mythical demonic entity. On the contrary, Man alone is responsible for his actions and is the ultimate master of his fate. As a Materialist I maintain that Man need not suffer extinction as a species if he has the courage and vision to assume control of his destiny through the use of reason.
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[1] Stapp, Henry, P.: 1993, Mind, Matter and Quantum Mechanics, Springer-Verlag, p. 42.

Tuesday, January 7, 2020

A Look At Quantum Acausal Determinism - Its Roots, And Support

Quantum acausal determinism differs from quantum acausal indeterminism in respect that the former is based on Louis deBroglie's concept of a physically real "pilot" wave which is associated with the wave function. Thus, a physically real wave solution satisfies Schrodinger's equation:


H op y  =  Eop  y


Where:  
p op  =  -i h (/ x)  And

Eop  =  i h  ( /t)

So, the full wave equation in one dimension (x) becomes:

- h / 2m ( 2/ x2) y  +   V(x) y  =   i h  ( /t) y

 Meanwhile, in the Bohmian acausal deterministic setting[1]: "it is supposed that each experimental result is determined completely by a set of hidden variables, φ. Thus, the result A of measurement of spin in the direction â depends only on φ, while the result C, of measurement of spin in direction ĉ depends only on φ and ĉ"
This was a brilliant tour-de -force which can be summarized:

A = A (â, φ)

C = C(ĉ, φ)

where measuring entanglements such as: A = A(â, ĉ, φ) and C = C(â, ĉ, φ) are specifically excluded.

Thus, as the authors note[2]:

"In other words, while nothing is said about the general dynamical laws of the hidden variables, φ, which may be as nonlocally connected as we please, we are requiring that the response of each particular observing instrument to the set φ, depends only on it own state and not the state of any other piece of apparatus that is far away".


This is a critical distinction, because it eliminates the pure objection Einstein had to unlimited nonlocality. Thus, Bohmian quantum physics introduces a measure of locality by tying the action of hidden variables to the particular observing device.

To fix ideas and show differences, in the Aspect experiment four different analyzer orientation 'sets' were obtained. These might be denoted:

 (A1,A2)I, (A1,A2)II, (A1,A2,)III, and (A1,A2)IV

Each result is expressed as a mathematical (statistical) quantity known as a 'correlation coefficient'. Aspect's final result (sum) yielded:

S = (A1,A2)I + (A1,A2)II + (A1,A2,)III + (A1,A2)IV = 2.70 ± 0.05

            What is the significance? In a landmark theoretical achievement in 1964, mathematician John S. Bell formulated a thought experiment based on a design similar to that shown. He made the basic assumption of locality (i.e. that no communication could occur between A1 and A2 at any rate faster than light speed). In what is now widely recognized as a seminal work of mathematical physics, he set out to show that a theory which upheld locality could reproduce the predictions of quantum mechanics. His result predicted that the above sum, S, had to be less than or equal to 2 (S less than or equal 2). This is known as the 'Bell Inequality'.

In the case of  David Bohm's hidden variables, and its deterministic model, the above sum came to less than 2.

The key insight for Bohm was in terms of the evolution (time change) of the probability density:

dP/dt + Sn  (Ñ n)  (P Ñn S)/m = 0

From the preceding, and a modified Hamilton -Jacobi equation,  Bohm deduced that each particle would be acted upon not only by a classical potential but also an added quantum potential Q.

 I now examine this in the context of an experimental underpinning. Since Bohm's deterministic theory includes what he calls "hidden variables" - which effectively drive the determinism toward a relative locality- then these must be incorporated. The problem is to invoke an experimental basis which can allow the determinism to be checked.

            The original proposal[3] by Rietdjik and Selleri was to show that if a photon is successively transmitted by 2 polarizers (using appropriate settings or orientations) then the very first transmission must influence a hidden variable which co-determines the second one. "Malus law" was first formulated by Etienne Louis Malus in 1809 and asserts that the intensity of light transiting an analyzer and polarizer is proportional to cos2(q) where q is the angle through which the analyzer is rotated with respect to the polarizer.

One can proceed by first considering a set-up with 2 orthogonally polarized correlated photons (designated 'g 1' and 'g 2' in the diagram shown below) and these interact with three polarizers denoted A, B and C.


















If 'E' is the causal event (e.g. photon departure from location), then by causal determinism one must find:

AE <  CE  <  BE

In other words, the interaction event denoted 'AE' (whereupon the designated photon for  g 1 interacts with polarizer A) occurs before CE and CE before BE.

By appropriate computations one is led to a theorem:

"A deterministic theory with hidden variable φ reproduces Malus' law for a photon (g2) transmitted by two polarizers C and B, with arbitrarily chosen settings of their axes, only if the hidden variable φ undergoes some change (a redistribution) when g 2 crosses the first polarizer.

To refine the experiment, one removes the polarizer C from the top panel set up shown  and defines p1,2(x - p /2, y) to be the probability that, in the new setup g 1 is transmitted by A, and g2 by B.

For the new (lower panel, Fig. B) setup, the predictions of quantum mechanics allow us to write:

P1,2 (x –
p/2, y) = ½ sin2(x – p /2, y) = ½ cos2(x – y) = p2(x,y)


 So long as polarizers A and B of the original setup are orthogonal (e.g. perpendicular to one another) photon
g 2 is transmitted by C if  g 1 is transmitted by A. Thus, in the case of A and C orthogonality, then for each micro-condition of the system (g1, g2) for which g1 is transmitted so also is g2. This must meant the relevant sets of hidden variables φ i,j are identical, viz.:

φ i (x –
p /2) = φ j(x)

and

φ*i(x –
p /2) = φ*j(x)


  Therefore, one can deduce that if the hidden variable φ, (implicit in the lower arrangement) experiences no change from the previous interaction (of
g1 and A, via transmission or absorption) then we have:

P1,2(x –p /2, y) = m (φ i(x – p /2) Ç   φ j(x))

Where /x\ denotes set intersection

        As Rietdjik and Selleri note[4] the preceding expressed “a mutual physical independence of the transmission events at A and B, respectively, in the sense  that one of the events does not change the hidden variable φ as it is relevant to the other.” This is precisely what confers a relative locality since the action of φ is constrained.

It is also what paves the way toward validating Bohm's acausal determinism.  How so?

Either one of two propositions must be valid, supporting or refuting a deterministic effect:

1) Transmission across C generates a change in φ and thereby allows transmission through B, or

2) No change transpires with the crossing at C, so none occurs at B (no influence, so null hypothesis)

Let’s look at each in terms of the hidden variable sets: φi(x), φj(y). Then in order for
g2 to transit C we need: φ (- φ i(x); and to transit B, we need φ (- φj(y). Then to transit both:
φ   (- φi(x)
Ç   φj(y))

Using this one can estimate the probability condition by way of summing all orientations, as applicable to the null hypothesis:

p2(a,b) + p2(b,c) + p2(c,a) > ½

Which, of course, violates Malus’ law which predicts:

p2(x,y) = ½ cos2(x – y)


Using partial derivatives we can move further on this.

Let S = p2(a,b) + p2(b,c) + p2(c,a)

And apply the Malus’ law requirement, viz. based on the orientations for axes x, y:

S = ½ [cos2(a – b) + cos2(b – c) + cos2(c – a)]


Take the partial:

S/ a = - ½ [sin 2(a – b) – sin 2(c – a)]


  At this point, we briefly review the concepts of max-min theory to do with partial derivatives of functions of several independent variables (say a, b, c etc.)

Consider a function of x alone such that: F(x) = f(x, a, b, c…)

which has an extreme value (extremum) at x = a. Then if f has a partial derivative with respect to x at x = a, that partial derivative must be zero by virtue of the theory for max-min functions F(x) of a single independent variable., viz.

f/ x = 0 at x = a

Similar reasoning allows us to arrive at the necessary conditions for minima say, when one has a function of several independent variables.

The number of simultaneous equations f/ x = 0 etc. thus obtained is equal to the number of independent variables. In the case of S, we have three independent variables a, b and c representing the different polarizer positions. For minimization we need:

S/ a = 0, S  /b = 0 and S /c = 0

We see that since:
S/a = - ½ [sin 2(a – b) – sin2(c – a)]

S/ a = 0 implies: (a – b) = (c – a)

E.g. let (a – b) = (c – a) = 
p /2

Then: - ½ [sin2(
p/2) – sin2(p/2)] = - ½ [sin(p) – sin(p)] = 0

Of course, since we’ve three polarizer orientations, a, b and c the minima must hold for all, then also we have:

S/b = 0 implies: (a – b) = (b – c)

And:

S/c = 0 implies: (b – c) = (c – a)

Further computations disclose that we need:

(a – b) = (b – c) = (c – a) = 120 deg


Then:

Smin = ½ [cos2(120) + cos2(120) + cos2(120)]

Since cos (120) = ½

Smin  = ½ [(½)2 + (½)2 + (½)2] = ¼


Or: Smin = ½ [(¼) + (¼) + (¼)] = ½ [(3/4)] = 3/8

Since 3/8 is less than ½ this violates the null hypothesis of no influence, and hence proves that a deterministic hidden variables effect is present. 




[1] Bohm, D. and Hiley, B.J.: 1981, Foundations of Physics, No. 11,  No. 7/8, p. 529.

[2] Ibid.

[3] Rietjik, C.W. and Selleri, F.,   Foundations of Physics, 3/85, p. 303.

[4] Rietjik, C.W. and Selleri, F.,  Ibid.

Wednesday, October 2, 2019

Can We Help A Supernaturally- Obsessed WSJ Letter Writer Overcome His Fear Of Materialism?

Americans have more than enough to occupy their worry hours lately, what with the spread of white nationalism, mass shooting threats and Trumpist insanity and lies. The latter was on display last week with Trump's dog and pony show with the Ukrainian Prez.  Then there is the constant financial turbulence (again no thanks to Dotard) , diseases such as EEE and vaping pneumonia,  preternaturally strong hurricanes like Doria.  So why add  supernatural phantasmagorias to that existential load?

Well, one WSJ letter writer named Paul Malocha appears to want to, writing in a letter four days ago:

"Neurons provide the material for human consciousness but cannot create it. A rational soul is necessary. Without the latter you have a bunch of data and processes only...Of course, the materialist philosophy behind this quest (for thinking machines) rejects that there is such a thing as a soul, rather holding that consciousness is simply an emergent property of electric meat."

But it is vastly more than "electric meat! And that's where Mr. Malocha goes astray and so allows supernatural babble like "souls" to enter the picture.  In fact, the departure from the crude materialism that Malocha invokes is made possible by the introduction of quantum mechanics into neural processing and brain dynamics.   We have to thank physicist Henry Stapp (Mind, Matter and Quantum Mechanics, Springer-Verlag, p. 42)  who  first posited that that uncertainty principle limitations applied to calcium ion capture near synapses shows they (calcium ions) must be represented by a probability function.  The latter is described by quantum mechanics, so entails a wave form (de Broglie waves) - not just matter- and we move beyond "electric meat".

More specifically, the dimension of the associated calcium ion wavepacket scales many times larger than the calcium ion itself. This nullifies the use of classical trajectories or classical mechanics to trace the path of the ions.  It thereby opens the door fully to quantum mechanics.  Ultimately (using additional work by physicist David Bohm) one can arrive at a "quantum potential", defined:

VQ=   {-ħ2/ 2m} [Ñ R]2 / R

for a wave function, U = R exp(iS/ħ)

where R,S are real.

But let's back up a bit to units we call neuronal assemblies, and super assemblies. These are amenable to a particular type of neural network processing that relies on "clustering algorithms" and for which quantum dots can be located at critical junctures in the network to minimize input variations and assure specific outputs. To fix ideas, I direct readers to parts A, B and C of Fig. 1.


 Part (A) shows a neuronal super-assembly, part (B) a biological and quantum analog to one center of neuronal action, and part (C) the workable neural network known as the radial basis function.  Part (A) shows a neuronal super-assembly, part (B) a biological and quantum analog to one center of neuronal action, and part (C) the workable neural network known as the radial basis function.

A neuronal assembly can also be described by connections to some N-synapses (where N> 100,000). This is shown simplified in the left side of the same diagram(B), where the neuron A now has 4 rays: AB, AC, AD, AE representing four connections of the same neuron to four different synapses. Bear in mind the neuron A has any number of quantum wave state possibilities associated with it: firing or not firing, action-potential or no action potential and perhaps one million others. In a higher-order neuronal assembly one might have 1,000 neurons each connected to 100,000 synapses for which an extremely complicated figure would result!

Consider now the the quantum aspect. A neuron 'A' either fires or not. The 'firing' and 'not firing' can be designated as two different quantum states identified by the numbers 1 and 2. When we combine them together in a vector sum diagram, we obtain the superposition. where the wave function (left side) applies to the neuron 'A'. What if one has 1,000 neurons, each to be described by the states 1 and 2? In principle, one can obtain the vector sum as shown in the above equation for neuron A and combine it with all the other vector sums (using the quantum superposition principle) for each of the 999 other neurons. The resulting vector sum represents the superposition of all subsidiary wave states and possibilities - at least those for the 'firing-not firing' states! The end product of this is a neuronal 'assembly' or aggregate of neurons (and associated synapses, axons, dendrites, etc.) which performs some function or acts like a circuit (for example a simple reflex arc, as when one burns a finger and automatically removes it from the source).

At a higher level of the hierarchy, one refers to the neuronal super-assembly(A) or 'super-circuit’ within which considerations such as networks, and optimization of paths as well as 'adjacency and order' take precedence. Each solid black circle denotes a neuronal assembly such as described above. These are intimately connected, each to the other, to perform some specific function. (For example in the brain region known as the limbic system, there is a structure called the hippocampus, within which an agglomerate of neuronal assemblies is dedicated to maximizing retention of events as memory.)

We then ask: What form or type of operational network can best exploit these properties to attain the desired function we want? That is, to be able to shut down or minimize negative inputs that contain information that amplifies unwarranted fears? The diagram (C) gives the clue: it will be a network for which a clustering algorithm is optimized, since this same clustering emulates the neuronal assemblies.


In the clustering algorithm view(C), the center for action (the m's) are going to be neurons, as occur in neuronal assemblies. As each cluster center m(i) is moved closer to the x(n) because the relevant equation minimizes the error vector, [x(n) - m(i)]. The relevant equation here is:

m(i)' = m(i) + a{x - m(i)} 

where a is the "learning rate" or in this case, the information processing (flow and refresh) rate in the network. The iterative aspect of the equation, emphasizes the fact that the algorithm is applicable for clustering the input vectors in real-time as they are acquired sequentially. Thus, the quantum gates will have an ongoing active role and continually update inputs as well as outputs.

What about the RBF network itself? This is shown in Fig. 2. 

No photo description available.



Cursory inspection shows some similarities to the previous considered (numerically vetted) MLP network but also key differences. For example: the hidden layer j = 0, 1, 2 ....p has no bias inputs such as X(0) for the MLP. Both hidden layer operators transit to Y(k) and Y(m) which in turn feed into one bias point per cluster at Phi(0).

The output of a neuron in the output layer is then defined according to: y(k=j) = f(jth output of j = 0, 1, 2.....p neuron of hidden layer) which can be controlled by placing a quantum gate (likely NOT gate using the function for the Pauli spin matrix σ(z) = (1, 0¦0, -1), where as before, the left pair is a matrix 'top' and the right pair a matrix 'bottom' )

In effect, with correct placement of quantum dot NOT gates in the hidden layer, it will be possible to alter an input (0, 1) to an output (0,-1) say at the bias point Phi(0). That switching effect will then transfer to the output layer, inverting the outputs for the k = 1, 2,.....m neurons principally for the points y(1), y(k=j) and y(m). The key advantage of the RBF over an MLP network is that the RBF leads to better decision boundaries and improved classification of the information from the hidden layer. (Which might be very critical since not all information going to the amygdala is negative. Some is available evolutionarily, for example, to arouse an alert for a real threat!)

A remaining question or issue, is whether or not one quantum NOT gate is required for each neuron in the hidden layer. I am going to argue 'no', given the fact that quantum superposition superposition of data elements can apply such that: U = U(1) + U(0), where 1 and 0 denotes bits entrained to move along as information to the outputs y(1), y(k=j) and y(m). In principle, then, it is feasible that each quantum gate can - according to its qubit (not bit) capacity, match up to many more neuron bits in transit within the hidden layer.

For example, an ordinary (computer) register only holds one of eight possible 3-bit combinations at a time, say: 001, or 010, or 011. By contrast, a qubit register (or quantum gate acting as one) could accommodate all eight possible 3-bit combinations: 000, 001, 010, 100, 110, 101, 011, and 111. In general, for any given n-bit combination, with n a whole number, a qubit register could accommodate 2 to the nth power total combinations at one time. Thus, 16 combinations could be held in memory for 4-bits, 32 for 5-bits, and so on. This change marks an exponential (two to the 'n') increase over any classical counterpart.

The task now will be to check the workabilty of the RBF network by using a simulation code that can encode qubit capacity and be integral with the key network equations for the RBF network. What might be one way we know we're on the right track? Well, apart from getting the outputs we want at (1), y(k=j) and y(m), we also would like to see or ensure that the error function remains Gaussian, and doesn't suddenly change. For example, it can be shown that the relevant error function for a given neuron designated for the output bias is:

Phi(n) = exp {[x(n) - m(i)] 2/ 2s(n) 2 where [x(n) - m(i)] is the Euclidean distance between x(n) and m(i) and which should not exceed the distance for which the Heisenberg Uncertainty Principle is applicable, e.g. ~ 300 nm, and s(n) is the standard deviation applicable to all neurons in the hidden layer subject to quantum gate effects. (It is also sometimes taken as the width of the Gaussian associated with the cluster algorithm prototype.).

All of the preceding is consistent with the "holarchy" cited by Mensan Christina Anne Knight (see my July 12 post)  in her 'Systems Approach to the Afterlife'  and first used by Arthur Koestler in The Ghost in the Machine .   As she points out and Koestler notes, this embodies  the "interdependence, interrelations and interaction of subsystems which results in a form of self-organization from which a larger system is an emergent product".  

In other words, consciousness is not an epiphenomenon of the brain but an "emergent product".    This is  assured by the novel role of QM and especially the uncertainty principle which allows the sort of creative behavior and thought we associated with a highly functioning consciousness. Hence, no "soul" is needed for consciousness to operate. Moreover, it has the capacity to be fully rational in its capacity and operation, Donald Trump being the exception, obviously. And the consequences at death, again, Ms. Knight's words:

"If the conscious mind is located at the apex of this holarchic system , then the collapse of the substructure beneath it has terminal consequences."

Thus,

"The conscious mind becomes just another impermanent system subject to physical laws.  It does not survive death because it cannot exist outside the holarchic structure from which it emerged"

It would appear then that the WSJ letter writer underestimates the power of Materialism (in its quantum based form - called Monistic physicalism) to account for consciousness, as well as rendering any "soul" redundant.

Friday, July 12, 2019

Looking At A "Systems Approach" Argument For Why There Is No Afterlife


Christina Anne Knight, in her recent (July, p. 32)  Mensa Bulletin piece 'Why There Is No Afterlife - A Systems Perspective' - pulls no punches.  In this post I examine her idea more closely, and why it might have some ballast.  Basically,  Ms. Knight's approach is based on materialist (Darwinian) evolution, which is an argument I have also used in the past.

For example, as I wrote in my post ('Meeting Our Extended Hominid Family'   ) of February 23, 2010:

"As we all know, and can be grown-up enough to say, neither the descendants of apes, or apes themselves possess "souls". There is only a brain, but it is ample to generate consciousness as I already showed in my 'Materialist Model of Consciousness'. Thus, when a human (or ape) dies, that's it. He is gone and there is nothing left - nothing to "punish" and nothing to go on. This hard fact may be why so many evangelicals refuse to accept evolution: they don't want to accept: a) they have no souls, and b) when they're dead, that's it, finito."

The post was accompanied by the following graphic:


So the most primitive hominid ancestor (Ardipithecus Kadabba) depicted at the lower left, from 6 million years ago - possessed no soul - nor did the evolutionary continuum following onward, i.e. to Homo Habilis and Homo Sapiens (upper right). Hence, when either died there would be nothing to go on, to survive in any afterlife.  Nor would there be some unexpected, magical "break out" point in between,  at which a soul suddenly manifests. 

This is analogous to Ms. Knight's argument, i.e.:

"It is a safe assumption that most people do not believe trilobites or velociraptors are at present hanging out with 72 virgin members of their species in some species -specific version of paradise.....Therefore, if we accept that none of our extinct, nonhuman forbears or members of other contemporary species have attained an afterlife, why should anyone believe that Homo sapiens are destined for a different fate?"


Then asking the $64 question:

"What evolutionary adaptation occurred that permitted the existence of something within humans to survive death?"

She then answers the question by naming what most of us already understand  as that manifestation of sentience known as consciousness,  but pointing out "it is not exclusive to our species."

Adding:

"The emergence of consciousness occurred within a hierarchic evolutionary context. So does it even make sense to conceive of the conscious mind outside of systemic structures that supply it contextual meaning?   In other words if I am a product of nature and nurture, what good is an afterlife in which the physical context that shaped my personality is no longer relevant?"

To fix ideas, in a post in which I skewered the concept of a "natural afterlife" (Feb. 9, 2014) I noted the fundamental unit of neural dynamics:















In this 'cartoon' graphic we are looking at an electro-chemical signal (action potentials in (B) ) which are conveyed to the receptor neurons in the region of the temporal lobes. The waveform really represents changes in permeability, we note that when an axon is in its resting state it maintains a constant potential difference, or ‘resting membrane potential’ of –70 mV. When it is excited, it rises to a peak voltage of around 40 mV. This is sketched as the wave pulse peak in (B) with the ‘baseline’ value of (-70 mV) included for reference. One could say that (A) portrays the axon segment shown in a kind of equilibrium condition, or one conducive to a dream state. Only levels of partial consciousness are available in these states.  Generally, a full peak voltage of 40mV is associated with some level of consciousness.

Now, we go to the driver of consciousness localized at the site of the synaptic cleft or terminal.















In the diagram, we focus on Axon 1 and note that when the action potential arrives at the terminal it’s depolarized. This depolarization enables Calcium ions (Ca+2) already within the terminal to diffuse out into the mediating space. These ions follow a concentration gradient, unlike the case of the Na+ ions in the sodium pump. As the ions migrate, then diffuse to the post-synaptic cell (at Axon 2), they leave a channel in their wake that allows quantal releases of neurotransmitter (shown as a solid dot). These, like the Ca+2 ions diffuse across to the post-synaptic cell(s).

One neurotransmitter is acetylcholine. If the transmission of this or any similar chemical is rapid firing will occur, if not it won’t. Note also that Axon 2 must have a way of eliminating neurotransmitters almost as soon as they arrive. For acetylcholine, the enzyme cholinesterase acts to break it down into choline and acetate. In these inactive forms the neuron is spared being in a state of maximal and continuous excitation that would otherwise destroy it.

Generalizing the electrical cable analogy, the synapses act as switches in the system, the ‘on’ or ‘off’ positions denoted by information, in the form of chemical messages, to cross the synaptic cleft and trigger firing of the post-synaptic neuron(s) or not. Most probably there are bundles of similar neurons linked together by their respective connections, to perform critical functions. One might refer to the neuronal super-assembly or 'super-circuit’ within which considerations such as networks, and optimization of paths as well as 'adjacency and order' take precedence. Again, this is almost absurdly oversimplified since there really are no neurons that have only one connection to another. Indeed, we expect the typical neuron to have something like 10,000 connections to others.

What happens if this entire neural dynamic is terminated? We can begin to grasp the effects by first noting from the above diagrams that all waves of polarization and de-polarization cease. Hence, all synaptic activity ceases. There is no more firing of neurons, nor is there any movement of neurotransmitters across axons. 

Consider the same  electric cable analogy described above in terms of what happens at death. Well, the putative electrical signal cable is cut. What happens if an electrical cable to your home is cut? Well the service is terminated...there is no energy "leakage' or  residue that continues after cutting because this would violate the physical laws we know. The electrical energy cannot continue to propagate into your home devoid of the cable within which it's carried. In the same way, all the brain's potential energy terminates at death, there are no 'residuals' left to continue anywhere. Hence, there can be no afterlife.

Ms. Knight in line with this basis,  writes (ibid.):

"The dying system decomposes into subsystem structures lower in the holarchic order that are sustainable within the systemic environment of the deceased system. A dead body becomes a nutrient source for other living systems and not a ghoulish distribution of functioning organs."

What is this "holarchic order" to which she refers?

She notes that the term  "holarchy" (first used by Arthur Koestler in The Ghost in the Machine) embodies  the "interdependence, interrelations and interaction of subsystems which results in a form of self-organization from which a larger system is an emergent product".  In other words, consciousness is not an epiphenomenon of the brain but this very emerged product.  But the extinction of such a system (and emergent product) occurs when the system fails to retain stability.  That is triggered when the key components die, e.g. neurons, neuronal sub-assemblies etc.

This is what Ms. Knight is getting at when she avers a conscious mind cannot exist outside of the function of the key systemic structures.  If then it is the impermanent character of all systems that "makes evolution a universal process"  then:

"If the conscious mind is located at the apex of this holarchic system , then the collapse of the substructure beneath it has terminal consequences."


Thus,

"The conscious mind becomes just another impermanent system subject to physical laws.  It does not survive death because it cannot exist outside the holarchic structure from which it emerged"


In other words, there is no conscious personal entity that survives the dissolution of the neural system with its synaptic connections, neurons etc. As I pointed out earlier.  

Is this plausible?  As I've repeatedly observed in my several  atheist books, it does represent - by the Ockham's Razor principle (simplest hypothesis is the most likely under several options) - the simplest answer for what happens when one dies. Thus, there is no "white light" waiting, no judgment of anything, just a big nothingness - analogous to what occurs with general anesthesia.

However, one specialist anesthesiologist by profession - Stuart Hameroff -   has offered a partial way out for those who think nothingness is too bleak an end.   

After 35 years of anaesthetizing patients and seeing the same results over and over Hameroff  was led to postulate that small structures in the brain called "microtubules" are at the root of apparent "escaped" consciousness and that they hold the key to what happens. He also surmises that at putative death (or even "near death") essential energy associated with the microtubules disperses out from the brain and becomes "entangled" in a larger, undifferentiated whole.

Hameroff cites certain aspects of quantum mechanics to explain his reasoning though, he leaves some ends open. In the brain, information persists through a phenomenon called quantum coherence. 

This means that a multitude of quantum wave states are stored in a multitude of microtubules. Precisely how this is done remains a speculative  area but the point is that if one is aware and conscious there is a high degree of locality. When one dies, those wave states presumably evacuate and one's consciousness enters the domain of non-locality.


Hameroff's basic argument then, is that death doesn't mean the final termination of consciousness, so much as the end of its localization. If that is so, you cease to be a "person" or an individual identity and instead merge with other dispersed quantum wave forms (I have called them "B-waves" or de Broglie waves) to enter an "oceanic" state. 

The difference between the individual and oceanic states is often depicted using an illustration similar to that below:

INDIVIDUALITY:

___Ç___Ç___Ç___Ç___Ç___  
DIRAC ENERGY SEA (IMPLICATE ORDER) 

This gives a nice analogy between the "ocean" and individual waves, i.e. localized beings, entities. Here the individual manifestations occur within the "explicate order" - in the language used by physicist David Bohm. This is contrasted to the oceanic or holographic view.
which he calls the "implicate order".  See e.g.





I have to reiterate again that Hameroff's conception isn't really any kind of recognizable "afterlife". Indeed, it is impossible to even remotely describe a putative nonlocal state (of being)  as experiencing an afterlife, if it perceives at all. 

It also leaves a decided negative slant on the question of preserving any sense of self. How can one if the self is no longer separable but one with an oceanic "sea"? It appears at first blush, however, to be: 1) consistent with Christina Knight's holarchic system approach (since B-waves are not apart from her holarchic system) and 2) only one step removed from the atheist's state of total obliteration and nothingness.

Indeed, for all intents, Hameroff's afterlife and the atheist's nothingness post -death may essentially be indistinguishable.   In the meantime, I understand (via an email from the Mensa Bulletin editor) there will be a response to Christina Knight's systems conception excluding an afterlife. When it arrives, I will examine it as well.