Showing posts with label Quantum Theory. Show all posts
Showing posts with label Quantum Theory. Show all posts

Wednesday, April 1, 2020

Humanist Materialist Arguments Against Christianity Were "Weakened" Over The Past Century? Not So!

Image result for brane space, quantum mechanics







In a recent WSJ review ('Fearful, Faithless', March 1, p. C7) the claim has been made that "the humanist-materialist argument against Christianity has arguably weakened over the past century" and also:

"Atheism is surely produced by a lifeless and unreasoned conformity."

These absurd extrapolations are formed by Jeffrey Collins (a professor of history at Queen's University in Kingston, Ontario) in the course of his review of  'Unbelievers: An Emotional History Of Doubt"  by Alec Ryrie.

These are also totally anticipated objections we've earlier seen creep into other forums  - like Physics Today (a general journal for physicists) - often  as lazy shots taken at unbelief and atheism.  For example by the likes of  Tom McLeish, in his specious arguments that science and religion are compatible.  See my arguments against McLeish in this 2018 post :


As well as my original letter published in Physics Today, with an excerpt below:


Readers' thoughts on science and religion: Physics Today: Vol 71, No 6




"As I see it, the most fundamental split—an irreparable one—between science and religion is that religion embraces a supernatural order and genuine science, as opposed to pseudoscience, does not.


From a scientific and objective standpoint, there is simply no way that any purportedly supernatural entity or order can be demonstrated or proven. No scientific methodologies for such exist, nor any credible instruments or measuring techniques. The rejoinder that those things can't be measured merely reinforces the argument that they are no more fit for scientific inquiry than the astrologer’s claim of “malefic” influences of Mars at an infant’s birth.

Because a supernatural domain cannot be approached in any scientific or objective way, then by my reckoning it doesn't exist. One need not even deny its existence because to all intents the supernatural entity becomes logically unnecessary or redundant. It doesn't help us make scientific predictions or explain natural phenomena—say, coronal mass ejections or auroral substorms"
At its core, this is what the entire argument boils down to: the  unthinking invocation of unproven supernatural entities to support religious beliefs, and the invocation of ultimate purpose where none is warranted.   As for the claim of  atheism as produced by a "lifeless and unreasoned conformity" that is choice given how religions uniformly adopt supernaturalism as the de facto default position with no hint of insight, or an iota of critical thought.

Let me again underscore here for the record, that the preceding applies to any religion that enlists supernatural agents to support its basis. It was not intended to be a blanket statement that modern science could find no commonality with any religion. For example, according to the Mahayana tradition of Buddhism there exist a multitude of universes and none of these harbors supernatural agents such as demons, or "Satan".  Many of them, however, may well harbor other intelligent life forms.  This view in its most rudimentary form comports with the multiverse speculations of modern physics. 

Collins also makes a big deal out of:  "virtually all of the pioneering natural scientists of the era being devoutly religious" . But why wouldn't they be?  This was four hundred years (roughly) before the advent of the quantum theory, at least Max Planck's rudimentary formulation of it.  It was, frankly, the development of the quantum theory -specifically the dualistic wave- matter aspect -  that overthrew nearly all religious presumptions, and doctrines..  The new theory, powerfully confirmed, inveighed against every aspect of Christian mythology, from introducing acausal determinism,e g.

A Look At Quantum Acausal Determinism - Its Roots...

To impacting the nature of 'free will',  e.g.

Free Will And Quantum Mechanical Brain States: Wha...

And undermining hundreds of other facets of religiously defined culture and beliefs, most of which could not withstand the onslaught of the new physics.This isn't even taking into account the most recent findings of astrophysics concerning the clear lack of order in the material universe.In cosmological terms, the whole concept of “order” has been relegated to a minor and tiny niche of the extant cosmos. For example, the balloon-borne Boomerang and MAXIMA UV measurements to do with Type I a supernovae, have disclosed a cosmic content:

7% - ordinary visible 

93% - dark component, of which:

- 70% is DARK (vacuum) energy and

- 23% is dark matter

In effect, 93% of the universe can’t even be assessed for “order” since it can’t be seen. In the case of dark matter, one can only discern its presence indirectly by the visible effects on neighboring matter. In the case of dark energy, the underlying physical basis isn’t even known – though we know the result is an increase in the acceleration of the universe (arising from a cosmic repulsion attributed to dark energy).

This is all critical, since in the past apologists of teleologism (the belief that purpose and design are part of nature) have cited a perceived “orderliness” as a revelation for the “handiwork” of an intelligent Mind, or Creator. Alas, this falls through the cracks if most of the universe is disorderly, or dark-energy-matter. Indeed, by current assessment – and discounting plasma abundance, one may reckon that even rudimentary order is evident in barely 0.00001% of the cosmos.  This is why string theorist and author Brian Greens - e.g. in his new book, 'Until The End Of Time' (see WSJ review, Feb. 15-16, p. C9) concludes that "we have no choice but to accept there is no grand design"  and "the only direction to look is inward", i.e. to forge our own purpose.   
Does this imply that the concept of “God” is outright useless, null and void? Not at all. It merely requires that we re-think the concept so that it is consistent with the absence of higher or extraneous purpose. As Bernard d’Espagnat notes [1]:

“The archaic notion that is conveyed by the words ‘Lord’ and ‘Almighty’ will presumably never recover its full efficiency for lulling the ontological qualms of mankind. For a religious mind, turning towards being should therefore become a subtler endeavor than the mere acceptance of the heavenly will stated in the Bible, formulated by the priests, and exhibited by miracles.”

The fact Collins could write such claptrap as the following:

"Atheism is not some natural implication of human progress but a contingency of a particular history"

Discloses he understands none of this. Especially when he also adds (ibid.):

"Modern atheism in the West can have an assertive and even angry quality in part because the emotions that animate it - namely anxiety and anger- were responses to the particular religious upheavals of the 16th and 17th centuries"

But that era is long gone, and no rational or modern atheists I know - mainly physicists, chemists- have any such  emotional axes to grind.   They simply see, as physicist Bernard d'Espagnat observes, that the antiquated (and naive) "Daddy in the sky"  concept of that era is now passe, and indeed, it hasn't changed much since then. Hence, atheism doesn't claim to prove God's nonexistence, only point out that the concept is superfluous to the advance of empirical science,  which like it or not is inherently materialistic.What we atheists actually say is that the whole idea of an  exterior infinite deity is redundant – logically unnecessary – because it doesn’t help us to model any physical systems or make verifiable, empirical predictions.  There is no "passion" or "anger" or even "denial" involved.    These are all 'macguffins' inserted by the religionists like McLeish and Collins.

We can also - again dispassionately-   point to the work tying belief in the existence of such an external deity to the brain: e.g. -  ''Why God Won't Go Away: Brain Science and the Biology of Belief' .  Therein the authors (Andrew Newberg and Eugene D’Aquili) trace this God concept directly to an area of the brain- the OAA or orientation association area.   More to the point here, is that such a brain is singly directed to craft its own version of rationality to support its ideations. (Ceaselessly reinforced by the particular religion to which it belongs.)  Hence, we simply cannot trust the rational expressions of believers (like Prof. Collins), or those like McLeish, who defend a religious accommodation by science. Their brains are likely hijacked in the service of the OAA to promote supernaturalist nonsense, and also efforts to interject it into modern science..

A radically different take is offered by physicist Brian Greene (also an atheist) who points out that our human aspirations are intertwined with human culture- from artistic expression to scientific discovery.  These are in turn driven by a painful awareness of our finite lifespan. This cognizance of a finite lifespan, according to Greene,  is what propels us to search for the "eternal" and to try and understand "why we are here at all."

The failure to appreciate this perspective - as well as the tendency to see all atheists as raging provocateurs and "barbarians at the gate" of Christendom, e.g.
Resides in a failure of flexibility of thought, as well as absence of critical thought, such as in Prof. Collins' review..  It would have been better for him to read Dr. Anthony Kronman's superb book ('Education's End - Why Our Colleges and Universities Have Given Up On The Meaning Of Life') on the essential relationship of secular humanism to education first. Therein we see "Secular humanism thereby enters (positively)  as a philosophical template or infrastructure whereby "students and teachers pursue the perennial puzzle of human existence through the disciplined study  of an interrelated series of works in which how a person ought to spend his or her life provides a connecting theme and organizing focus of inquiry."


In an analogous fashion the physical scientist pursues the perennial puzzle of human existence but via research into the nature of the cosmos - using fundamental physical principles.  Also research, including in cosmology, astrophysics, astrochemistry, plasma physics etc. which comprise an interrelated series of works. By such processes most scientists - again leaving out emotions - come to see the universe for what it is: an impersonal assembly of energy and matter for which  any ultimate design or purpose is immaterial.  

In the same light, we are the least likely of humans to interpret the SARS- COV-2 virus as any kind of "divine retribution" unleashed on a sinful humanity to force it onto the straight and narrow.  Rather we see the virus, and the resulting COVID--19 pandemic it's spawned,  as another facet of evolution. An unfolding,  impersonal process which is always delivering novel mutations and challenges irrespective of the form of life:  virus, bacteria, ape or human.  Our error, mainly in our religions, is seeing the human as a "fallen angel" as opposed to risen ape.


Has the Universe a purpose?

Tuesday, August 26, 2014

An Introduction to Quantum Mechanics (1)


1. The Wave Model of the Atom.

Though useful, especially in terms of identifying spectral lines, Bohr’s model had its limitations. For example, it couldn’t account for how angular momentum is conserved in atoms, nor how electronic transitions originate. More seriously, it wasn’t able to deal with the problem of lost energy and why atoms don’t simply collapse.

    Consider the following dynamical picture:  as the electrons whir about the nucleus they ought to be losing energy, in the context of Bohr’s orbital model. If they lose kinetic energy over time they must spiral into the nucleus, and the atom then ceases to exist. This ought to happen in a very short time, so that most atoms in the universe cease to exist and hence the whole universe. But this isn’t observed. Why?

     The only explanation is that Bohr’s orbital model can’t be correct.  Thus was born the theoretical basis for the wave model which we mostly accept today in modern quantum mechanics.  Unlike the Bohr model, electrons don’t follow defined orbital paths but instead are referenced to regions or volumes in which they will be more or less probable.  The basic allocation of electrons, say for the hydrogen atom, is then confined to “orbitals” or regions of higher probability.

     We now look at the experimental basis provided for this model.

     Around 1926, a young French physicist named Louis de Broglie actually postulated the basis for material particles, such as electrons, acting as waves.  This was experimentally verified in the (1927) Davisson and Germer electron diffraction experiment sketched below:

 

Fig. 1: The Basic Davisson and Germer experiment

    From the experiment, with electrons moving through a potential difference V = 4,000 volts, the kinetic energy gained should be equal to the work done, or:

½ m v2   =   eV

Where m the mass of the electron is: 9.1 x 10 -31 kg

And the electron charge e = 1.6 x 10-19 C

The velocity then is:

v = Ö (2eV/m)

The momentum p = mv = m Ö (2eV/m) = Ö (2eVm)

And the de Broglie wavelength is:


lD= h/p = h/Ö (2eVm)


For a voltage V = 3,000 V one would find:

lD =

(6.626 x 10-34 J-s) / [(3.2 x 10-19 C) (3000V) ( 9.1 x 10-31 kg)]1/2

lD =  2 x 10-11 m

Which is the de Broglie wavelength of the electron in this experiment.

    A first step to uncovering the wave model from Bohr’s is to examine his quantized relationship:

m vr  = nh/ 2p  = L

where L is the angular momentum.  Re-arranging:

h/ mv =  2p r/ n = lD    or  2p r =  n lD

Showing the circumference is scaled into n (standing) waves of wavelength lD   as shown below:


Fig. 2. Standing wave model for the Bohr atom.

     This wave-orbiting electron atom still has a radius r,  but with waves each separated by one de Broglie wavelength , lD.

     Thereby  an integral number of such wavelengths form the circumference of the atomic orbit, as required by  the condition:  2p r =  n lD.

  For example, in the case of hydrogen the first three of these cloud-wave regions are shown in Fig. 3.



Fig. 3: Electron (“orbital”) clouds-regions in Hydrogen

Let us ‘zoom in’ on the more spherical n= 1 configuration, and the probability for the electron in this space as depicted in Fig. 4 below:


Fig. 4: The n = 1 electron orbital for hydrogen

    This diagram more than any other dispenses with the notion that hydrogen electron occupies a definite position. Instead, it’s confined someplace within a “cloud” or probability space (b) but that probability can be computed as a function of the Bohr radius (ao = 0.0529 nm).  The probability P1s for the 1s orbital is itself a result of squaring the “wave function” for the orbital.  If the wave function is defined y (1s) = 1/Öp (Z/ ao) exp (-Zr/ ao), and the probability function is expressed:


P = ½y (1s) y (1s) *½

     Where y (1s) * is the complex conjugate, then the graph shown in Fig. 4 is obtained. Inspection shows the probability of finding the electron at the Bohr radius is the greatest, but it can also be found at distances less than or greater than  0.0529 nm.

     We thereby see from Figs. 3-4 that Bohr’s original quantizing number, n (the "principal quantum number"), has far more meaning than simply to parse the number of standing waves for a given atom. We already see that it determines the energy of the atom, viz.


E n =  - 13.6/ n2   


     But it also indicates the average distance of the electron from the nucleus.  Thus, de Broglie’s wavelength provides the basis for the wave-particle duality that lies at the basis of the “smeared” probabilistic atoms peculiar to modern atomic theory.

       At the bottom of Fig. 3 are the quantum numbers: n and , which are identified as: the principal quantum number, and the angular momentum quantum number, respectively.

    There are two physical meanings attendant on n: i) it determines the energy of an orbital (specifically in the H-atom), and (ii) it indicates the average distance of an electron in a particular orbital, to the nucleus, To fix ideas, I show in the accompanying diagram (Fig. 5)  a sketch of one lobe for an electron orbital associated with the (3, 2, +2) state in the Hydrogen atom. The key point is the orbital denotes
an electron density associated with a probability of finding the electron in some defined space.



Fig. 5: one lobe for an electron orbital associated with the (3, 2, +2) state in hydrogen

     In the case shown one must also visualize a symmetrical lobe on the other side (making the whole orbital resemble a dumbbell) to make it complete. As one alters the set of quantum numbers the electron densities change and so do the probabilities associated with the orbit.(See Fig.6)
Brane Space: More on quantum numbers
    Fig. 6: Further hydrogen orbitals with higher quantum numbers

     Describing orbitals using the set of given quantum numbers means knowing the numbering rules applied to each. In the case of the principal quantum number, n, we allow it to have integral (non-zero) values: 1, 2, 3, 4 etc.

     The physical significance of the angular momentum quantum number (
) is to convey the shape of the probability density cloud or orbital. The numbering rule for l is directly contingent on the value for n. Thus, for any given n, then must be such that it has integral values from 0 to (n -1). This means if n = 2, then can have (n- 1) = (2 -1) = 1. But if n =1, then = (n - 1) = 1 - 1 = 0.

       Note that the
-quantum numbers appear more than once for any  orbital with n >1. Thus, for the n = 2 case, we have two values of occurring: one for l = 0, the other for = 1. If we go on to n= 3 there are three values of , for n = 4, four values and so on. One also finds the -value specified for lettered orbitals: s, p, d, f, g, h. The s-orbital is for =0, the p for =1, the d for = 2 and so on.

     There is no special significance to the letters (apart from the physical meaning we already gave for the angular momentum quantum number, , and they are mainly of historical import- though still retained, for example, in chemistry. (By extension, one also often hears the term "atomic shell" used in chemistry). A collection of orbitals under the same value of n is called a "shell". Thus, for n = 4, we have =0, = 1, =2, = 3 so comprising the collection of orbitals: s, p, d and f.

Lastly, there is the magnetic quantum number, usually designated m (subscript the same as the angular momentum quantum number) because it is contingent upon it. This quantum number describes the orientation of the orbital in 3-D space. For a given angular momentum quantum number, , we have integral values specified as follows:

m
= -, (- +1)....0......( - 1), +

Note the above set of m
numbers is given as a SERIES, e.g. starting with (-) and terminating at +. Look at the simplest example for = 0, then:

m
 = 0.    (Since all terms are zero)

What about = 1?

Then: m
= -1, 0, 1

What about
= 2?

We have:

m
= -2, -1, 0, 1, 2


As a general rule then, we can use the formula:

N(m
) = {(2 x l) + 1}

to give the total number of m   numbers.

In any problems to do with identifying electron shell structure- configuration, it is well to bear in mind the Pauli Exclusion Principle to make sure the electrons are distributed so that no two electrons have the same set of quantum numbers. It is instructive to study the table below to see how the principal quantum number, n, changes with , and the subshell as well as the symbol for the primary electron shell.  The  Table shown below shows the respective Shell and Subshell Symbols and associated Quantum Numbers.


n  =
SHELL
   =
Subshell
1
K
0
s
2
L
1
p
3
M
2
d
4
N
3
f
5
O
4
g
6
P
5
h


In working out assorted problems, preparation of a schematic energy level diagram associated with the state of the system can also be of immense value.


Problems:

(1) Find the de Broglie wavelength  lD  of a proton subject to 4000 V in a Davisson-Germer type experiment.

 (Take m p = 1.7  x 10 -27  kg)

(2) Write out the electron configuration for oxygen (O16), then write out the values for the set of quantum numbers : n, , m , m s  for each of the electrons in O16.

(Hint: The  m s or spin quantum number, which we will encounter in the next section, has either +1/2 or -1/2 value. )