Wave-Particle Duality
Wave-particle duality is,
according to Richard Feynman, the central mystery of quantum mechanics.
What follows is a fresh
approach to photon physics showing that duality is a consequence of the photon
having a kinetic identity and a potential identity.
No metaphysics proposed
here; no multi-dimensions; no new particles; no fields that can’t be detected
or measured. Just a new look at kinetic energy and how radiation transports it.
I hope you find it
interesting…
Kinetic Energy and Wave-Particle
Paul A. Klevgard, Ph.D.
Sandia National Laboratory, Ret.
1.0 Abstract
We think of kinetic energy (KE) as a quantity possessed by rest mass in
motion. But somehow electromagnetic (EM) radiation transports KE across space
without any rest mass. In addition, a single photon passing through a double
slit diffracts into multiple paths in space without affecting its KE. This is
hard to explain.
Most commentators assume the photon is a unitary object and then struggle
to explain its contradictory attributes: discrete as particle versus continuous
as wave. The approach here is to identify a dualism of photon identities. The
photon is not a unitary object; it has two linked-but-distinct identities: one
supporting discrete behavior and the other supporting wave behavior. This
involves some new insights into the nature of kinetic energy for radiation.
2.0 Kinetic Energy and the Photon –
Kinetic energy (KE) as a concept came late to classical physics. It began
in the nineteenth century as a quantitative attribute possessed by
matter-in-motion. This means that rest mass in motion and the KE this mass
possesses share the same location-cum-trajectory. This keeps KE tethered to an
object progressing in both space and time. But this concept runs into trouble
when we consider the KE of radiation. A photon has an attribute (KE) but no
object (rest mass) and no defined trajectory.
Consider a single photon encountering a double slit and diffracting. Does
the KE also diffract/rarefy in space? If it does diffract, then how can it
terminate on a (material) target with its energy intact? Thinking of KE as a
property of an object in space seems to work for matter-in-motion, but it does
not work for the photon. The photon is both particle and wave so there is no
easy way to conceive of photon KE as an attribute. We need a concept allowing
the photon to disperse over space paths while its KE does not rarefy.
·
Our concept of photon KE, borrowed from matter-in-motion KE, is not
satisfactory.
·
How can we square the dispersion of photon paths (diffraction) with
the non-dispersion of photon KE?
3.0 Residing vs. Progressing for Objects –
Entities come in three ontological
varieties. The in-flight photon has KE but no rest mass. The space-stationary
(inertial) particle has rest mass but no KE. And finally, matter-in-motion
combines both KE and rest mass. The photon and the inertial particle are
"pure" entities since they don’t combine KE with rest mass;
matter-in-motion is a "mixed" entity.
Physicists often compare the photon
with quantal matter-in-motion, e.g., with the moving electron. But this is to compare
ontologically different entities (pure vs. mixed) and this can be misleading.
For the moment we shall focus on the two pure entities that do not mix KE with
rest mass.
There are some common features of rest mass
(inertial particle) and photon KE. First and foremost, both are the measurable
aspects of entities and one might argue that all entities must have
commonalities at a foundational level. Second, rest mass and KE are quantized
and share a fundamental relationship, E = mc2. And finally, both are
stationary in one dimension, inertial particle rest mass in space and photon KE
in time.
The differences between rest mass and photon KE
are really a consequence of inversion: existence and occurrence are switched as
are space and time. Thus quantized rest mass exists and can only do so by
occupying an interval (volume) in space. And quantized photon KE occurs
(oscillates) and can only do so by occupying an interval in time (cycles
require time). Inertial particle rest mass is stationary in space while
progressing (persisting) in time, whereas photon KE is the reverse: it is
stationary in time while progressing in space.
·
At an abstract
(ontological) level, pure entities have many similarities; even inverted
similarities.
·
Quantized, space-stationary
rest mass exists, requires/occupies one dimension (space) and progresses in the
other dimension (time).
·
Quantized,
time-stationary photon KE occurs (oscillates), requires/occupies one dimension
(time) and progresses in the other dimension (space).
Much of physics is mechanics and the latter is
all about particles in motion with the assumption that particles are located in
both space and time. But a stationary particle is different. It certainly
resides in (occupies) space and is located there relative to some reference
object. But a stationary particle neither resides in time nor has a location
there. We can perceive or measure a stationary particle at time t1,
but that marks the time location of our measurement event, not the time
location of the particle. Particles reside in space but progress in time; the
flow of time precludes at-rest particles from having a defined temporal
location. Does this division of labor – residing versus progressing –
characterize all pure entities? Before we can answer that we need to look more
closely at entity progression.
4.0 Entity Progression and Photon Identities –
The particle obeys the law of the conservation of
mass as it progresses in time. Successive observers in time experience the same
particle with the same mass; they have the existing particle and its mass in
common. We explain this by saying that time progression does not affect
existing particles; that time progression is orthogonal to existing objects in
space.
The photon obeys the law of the conservation of
energy as it progresses in space. Assume we have a single photon from a laser
moving linearly (ideal case) through space. This photon presents the exact same
KE to all space observers along its path (within the same inertial system). Now
imagine this linear-path photon encountering and passing through a double slit.
The photon interferes with itself and now has multiple paths toward termination
on some target screen. Observers situated on these multiple, diffracted paths
have the same (possible) experience as the observers on the linear path: photon
termination on their path has the undiminished KE from photon origin. All of
these paths have the photon KE in common although the diffracted paths differ
in probability of photon termination.
This behavior of the single photon tells us that
space-residing, material devices (slits, pinholes) cannot affect (fractionate)
photon KE but can fractionate probability of photon reception. This means that
the photon has two identities:
1. A potential (probabilistic) identity that has a presence in space and
so will fractionate there.
2. A KE identity not divisible in space and common to all possible space
path observers.
Neither simple progressing in space (linear path)
nor progressing-diffracting in space (multi-path) has any effect upon photon
KE. Photon KE is therefore orthogonal to space and what happens there, namely
progression and diffraction. And something is orthogonal to a dimension when
it does not reside in that dimension. We conclude that photon KE does
not reside in space where it might fragment or dissipate.
The photon can have incompatible attributes
because it has two identities operating (residing vs. progressing) in
different dimensions. The photon is not a simple object; dualism of photon
attributes relies upon a dualism of photon identities.
We can now see a common pattern for pure
entities.
·
A stationary
particle progresses in time but it resides in (occupies) space.
·
The photon
progresses in space but it resides in (occupies) time.
·
In general, a pure
entity resides in one dimension and progresses in the alternate dimension where
it is common for observers in that dimension.
·
A mixed entity
(particle in motion) progresses (advances) in both space and time; it cannot be
equated with a pure entity. They are ontologically different.
5.0 First Identity: Photon Kinetic Energy in
Time –
Photons are created when (electron) charges are
accelerated: say a voltage applied to a conductor or an electron changing its
atomic shell. The charges themselves reside in space. Hence work done on them
will leave a space-progressing trail, namely a self-sustaining,
electric-magnetic waveform. This mutual EM field oscillation is a
self-perpetuating, space-path expression of the effect this work (this acceleration)
has upon a space-residing charge.
When a
charge is accelerated the photon KE created must reside somewhere so it can be
available for transfer. As we have seen, attaching the KE to a massless,
multi-path photon presumed to be in space doesn’t make much sense. The photon
is an (energy) occurrence; it is not an “object” with attributes and a defined
space presence. Work done on a charge creates something without rest mass; it
creates the photon KE which is oscillation not involving anything existing.
Photon KE is pure oscillation residing in time; such pure occurrence is not
unknown in physics.
Once it is created by work done on a charge at
one space location, photon KE must travel to [not!] be available at
distant space locations. The classical ontology (existence, matter, space) imagines that some object (particle,
virtual or real) carries the KE as a payload along space paths. But Nature is
much more subtle than that.
Photon KE resides in time as a pure oscillatory
occurrence making it orthogonal to space paths. This means it is common to
(shared by) those space paths traversed by its alternate (probabilistic)
identity. Photon KE is not transported in space because it does not
reside there.
Hence photon KE is not involved in space progression at the speed of light;
that is left to the photon’s potential identity (next section).
Photon KE is oscillatory and being cyclical
renders it quantized: you can’t have half a cycle in the dimension wherein
photon KE resides and functions (oscillates), namely time. Recognizing that
photon KE resides in time:
1.
Completes the E =
mc2 symmetry with the inertial rest mass that resides in space: both
of them stationary, both of them quantized and both of them progressing in the
dimension where they do not reside.
2.
Explains why this
energy never diminishes over multi-path space travel.
Photon KE is but one identity of what we call the
photon. The second identity must provide for the: 1) probabilistic nature of photon
reception; 2) filling and progressing (rapidly!) on all available space paths;
and 3) collapse of what fills those space paths.
6.0 Second Identity: Photon Potential Mass –
If a single photon of known wavelength enters a
double slit one can calculate probable reception locations on a target screen.
The mathematics tells us that something travels those photon space paths
between double slit and target: something immaterial that is latent and hence
probabilistic. And what is on those widespread photon paths must disappear
without a trace when photon KE is received at a point. This dependency of
probabilistic, latent space path content upon time-residing photon KE tells us
that E = mc2 storage must be involved. We conclude that the photon’s
second identity must be its stored, potential mass.
·
The photon has a kinetic identity and a potential identity.
·
The kinetic identity, as noted above, is photon KE residing in time.
·
The potential identity is photon potential mass progressing along and
filling space paths.
·
Like the at-rest particle, the photon’s identities reside in one
dimension and progress in the alternate dimension.
Photon KE is oscillatory in the time dimension
and, as noted, is shared by all available photon space-path locations. Its
stored (potential) mass is in the space dimension where it progresses at the
speed of light and thereby (probabilistically) determines available space-path
locations. Pure entities either exist or occur as a whole: hosting (kinetic)
identity and stored (potential) identity do that. So the occurrence and oscillation
of photon KE is common to the mass it stores. Hence photon potential mass
progresses and oscillates giving it the waveform. Its space progression and
wave nature means it diffracts into multiple paths at pinholes or slits.
Photon potential mass has a space presence but
only as something latent (stored) that occurs. It only interacts with itself
yielding all the usual wave behavior: interference, superposition,
reinforcement and diffraction. But our knowledge of its behavior is indirect
since our physical instruments only receive photon energy and momentum. Because
of this, various features of photon reception are not well understood. They
include: 1) the objective reality of probability; 2) randomness; and 3)
instantaneous collapse.
6.1 Objective Probability in Space –
We can model photon wave progression
mathematically and we recognize that our computed waveforms only govern
probable (potential) photon reception. Nevertheless, we don’t make the connection
between photon probability and photon stored (potential) mass. This despite the
fact that release of something stored is generally probabilistic (e.g.,
radioactive energy release)
Part of the problem is that we treat the photon
as a single object. We say the photon does this but then say it also does that
and the two are contradictory. We should be saying photon KE does this but
photon potential (stored) mass does that.
The other part of the problem is that potential
mass, when not discounted (i.e., rejected), is only seen as a mere quantity. It
is never granted a space presence such that it can interact with slits and
pinholes. Of course denying photon KE a (residing) presence in time leaves no
room for granting photon potential mass a (progressing) presence in space. The
entire concept of alternating (and orthogonal) dimensions for entity residing
vs. progressing is quite unknown in the ontology of classical physics that we
still use.
The potential mass wave of a single photon
interferes with itself when passing through a pinhole or double slit. The
result on a target screen is regions whose intensity may be high (wave crest
reinforcement) or low (wave crest cancellation). The intensity distribution on
the screen determines the probability of photon KE reception, but only in the
aggregate. Individual reception is random and for a reason.
6.2 Photon KE Reception as Random –
Photon KE can only terminate
(impinge) on matter. Photon KE resides in time and to terminate on
space-residing matter it must become a cross of occurring KE in time with
existing rest mass in space. In a word it becomes an event: something involving
both KE and rest mass; something that is discrete and located in both space and
time.
That which controls the tendency (probability) of
photon KE termination on matter is photon potential mass which is continuous as
a waveform progressing in space. Meanwhile, the actual transfer of
time-residing KE to space-residing matter is quantized and event based; it
cannot be continuous. So it is that photon termination is individually random
but in aggregate it reflects the distributed intensities of photon potential
mass.
Whenever something is stored – potential energy
(thermal, radioactive) in matter; or potential mass in radiation – there is
always an associated probabilistic randomness with release: random in time for
thermal release; random in space for photon termination. It is a result of
something analog/continuous (storage intensity) in one dimension initiating a
release that is digital/quantized in the opposite (orthogonal) dimension.
6.3 Probability and Collapse –
Probability: Photon potential mass is the E = mc2
consequence of photon KE. They are not the same thing; they are both mass-free,
oscillatory occurrences, but they have functional differences (residing vs.
progressing) based on the dimension wherein they operate. Photon KE resides in
time while its dependency, photon potential mass progresses in space. Probable
release of what is stored characterizes both pure entities. The deeply rooted
disdain for, or neglect of, stored, potential mass has prevented us from
connecting it with probability. Prospects for a change in this outlook are not
good; the abstract wave function in multi-dimensional configuration space is a
much sexier way of explaining photon probability.
Collapse: Photon potential mass waves progressing
over space paths have but a single (common) source of occurrence and the latter
is orthogonal to said waves. Photon potential mass waves progressing in space
depend upon this single time source for all their occurrence, whether that
occurrence is for oscillation/progression or for cessation of oscillation. When
a photon terminates, photon KE in time ends that oscillation upon which all
space-progressing potential mass depends. The cessation and disappearance of
space-progressing waves is instantaneous because: 1) they have a single,
orthogonal point of failure; and 2) these waves occur and have neither rest
mass nor energy.
7.0 Photon as Particle –
The debate over radiation as a
particle (Newton) or as a wave (Huygens) got reopened early in the twentieth
century. Those quantum pioneers born before 1900 (Einstein, Bohr) grew up in
awe of Maxwell’s wave theory of radiation and found it difficult adjusting to
radiation quanta and the dualism it implied.[4, p.231,233] But succeeding
generations of physicists grew accustomed to advancing science by studying
particle properties; the conflict with the wave behavior of radiation got
pushed to one side. Richard Feynman [5]
exemplifies this shift to particle physics; he argues that radiation is
composed of particles [p. 14] and dismisses wave behavior as a paradox not
worth pursuing. [p. 24, 81]
But the photon does not behave like
a material particle: it has no rest mass, no defined location or trajectory and
it leaves no tracks in a cloud chamber. In spite of all this, Feynman’s idea of
photon-as-particle is still widely embraced. There are two reasons for this.
First, when explaining something
unknown everyone’s first impulse is to employ familiar concepts. Photons
deliver energy and momentum to a point in space and this looks very much like
particle impact. This (lazy) idea that the photon is a particle traversing
space and impacting on a material target: 1) depends upon a bad analogy; 2)
applies the matter-based classical ontology to radiation. It is doubly wrong.
Second, it is assumed that energy
cannot be real on its own; it must be a property of
something and that something is a particle (or field), even if the particle is Imaginary
(virtual). In addition, photon wave behavior does not lend itself to KE
interactions; photon waves, as we have seen, are probabilistic, they can
collapse without a trace and they don’t carry KE. So the wave side of photon
behavior is of little use to physicists writing energy exchange equations. It
is the termination (and emission) of photons where KE is involved; this energy
resides in time but physicists with their existence-mass-space worldview can
imagine that said energy belongs to a particle moving in space. This permits
equations to be written based entirely on the classical ontology. In the words
of Abraham Pais, physicists “…call a photon a particle because, just like
massive particles, it obeys the laws of conservation of energy and momentum in
collisions, with an electron say (Compton Effect).”[4, p. 350-1] {\displaystyle |\mathbf {r} \rangle }
So it is easy to see why
photon-as-particle is a popular analogy and why it is mathematically useful.
But neither of these rationales survives serious scrutiny and photon-as-particle
still leads to paradoxes.
Photons terminate at a space and time point
because that is how two orthogonal entities intersect. Photon KE
residing in time can only meet (impinge upon) target matter residing in space
at a point (an event) that both share. Our limited view of what is real
(particles, impact, photon as simple object) leads us to underestimate the
subtlety of nature.
8.0 The Photon in the Double Slit –
The photon is a pure entity which
means its first identity is stationary in one dimension where it resides while
its second identity progresses in the alternate dimension. These two
(orthogonal) identities operate together as the photon passes through the
double slit.
Identity #1: Photon oscillation KE residing in the time
dimension naturally passes through the space-residing slits unaffected and
terminates (transfers its energy) on a material target at a point in space and
time.
Identity #2: Photon potential mass governs probable release
(termination). As a space-progressing waveform funneled through two slits it
undergoes interference, creating multiple space paths of differing intensity.
The identification of this as wave behavior is correct but with a caveat: these
are retractable, collapsible waves of probability (stored mass); these waves do
not carry energy as sound waves and water waves do. Diffracting water waves
dissipates their energy; diffracting light waves does not.
Experimenters have tried to resolve the wave
versus particle identity of the photon by modifying the double slit. By placing
a photon detector behind one or both of the slits the hope is to determine
“which way” (particle) information.
One Slit Blocked: Waveform potential mass enters the slit and
impinges on that detector just behind the slit; one of two things will happen.
Photon termination may occur and the waves in the other, no-detector, slit
collapse instantly. Alternately, no photon termination results for this detector
slit and the waves it blocks collapse and disappear (Section 6.3) while waves
in the other slit continue on. This latter case leads people who believe in the
classical ontology to assert that “the particle chose the no-detector slit.”
Two Slits Blocked: Photon termination occurs in one
slit or the other. Waves in the slit without termination simply collapse and
disappear, since they are massless occurrence that ceases to occur. It is a
mistake to assume that nothing ventured into the slit where termination did not
take place; potential mass traverses both slits with each blocked slit having a
50% chance of termination.
Wave interference requires the rejoining of two
separate wave paths; blocking one or both slits obviates that. Space-discrete
(particle-like) behavior (one slit passage) and space-continuous (wave)
behavior (passage through both slits) are mutually exclusive. But there is no
“quantum conspiracy” here; rather it is photon identities operating normally.
We misidentify photon KE as a “particle” travelling space paths which is not
the case; because it resides in time, photon KE is simply common to all
available space paths its potential identity chooses.
Interaction-free
measurement: The photon’s two
identities are unitary but function in two dimensions. Photon potential mass
progresses in space and so can be split into two paths, say by a beam splitter;
each path having a 50% probability of termination. The photon KE of course does
not split. If you block one of the two paths and termination does not occur,
then the other path immediately converts to 100% probability of termination.
But you have thereby altered the photon; one of its paths is “live” (potential
mass progressing) and the other path is “dead” (no potential mass). This
eliminates any possibility of interference when reuniting the two paths, one
active, the other not. One radiation identity (namely occurring potential mass)
has “touched” the obstacle and undergone a path change without the other
radiation identity (photon KE) “registering” (terminating) on the obstacle.
Commentators call this “interaction-free measurement.”[6] But in fact
interaction of one photon identity has taken place, namely the blockage and
collapse of potential mass on one path; this constitutes a change of the
photon. The mystery of interaction-free (counterfactual) measurement disappears
once you understand the role space-progressing photon potential mass plays.
That is, once you realize the photon has two identities and you stop applying
the classical ontology (existence, mass, space) to the realm of radiation
(occurrence, energy, time).
9.0 Traditional Explanations –
There is no literature treating photon KE as oscillatory
and having a presence in time. All approaches to the photon wave-particle
duality problem have been based on the classical ontology of existence-matter-space
with KE regarded as a quantity with no dimensional presence. In this ontology,
the photon is a simple object (in space and in time) with attributes. This
reduces photon KE to being a payload for some space-residing, space-traversing
object. There are some variations on this approach which are worth mentioning.
The Copenhagen approach argues that the duality
paradox is not a defect; wave and particle are complementary (and necessary)
descriptions. The quantal world is hidden from us and it is futile to speculate
on its exact nature or even its reality (as Einstein might). We are forced to
measure and describe this world with instruments and concepts belonging to
classical physics. Hence Bohr and Heisenberg accept the classical ontology of existence-matter-space
but don’t try to apply it to the quantal world; Bohr could even deny the
quantal world’s reality.[7, p. 204] The Copenhagen interpretation is generally
epistemic (what we know) regarding the quantal world and regards the wave
function as merely a mathematical tool.
In contrast, the de Broglie – Bohm pilot wave theory
is ontic (what is real) regarding the quantal world. The wave function guides
the particle(s) but it is nonlocal and resides in multidimensional-configuration
space. The remainder of the theory mostly embraces the classical ontology with
the photon being a real, physical particle. The wave function, of course, was devised
for the electron and does not really work for the photon, the latter being
massless with no position eigenstate. And lumping the photon and the electron
together as particles is not good physics, as these pages have argued. Einstein
did not care for the theory, calling it too “cheap”; i.e., too obvious, not
subtle.
·
Physicists and
philosophers of physics have moved on from classical physics, but they remain
devoted to its ontology of existing matter in space.
13.0 Conclusion –
·
Our current
(classical) reality for physics is mass-based: existence, matter and space; it
is incomplete. There is also energy-based reality: occurrence, radiation and
time. The photon is energy based.
·
The nineteenth
century concept of kinetic energy as a non-oscillatory quantity attached to
rest mass in motion does not work for radiation and the massless, oscillatory
photon.
The function of radiation is the transmission of
work done (KE) from one space location (photon origin) to another space
location (photon termination). It does NOT do this via an object (particle) carrying
a KE payload and navigating space paths (the classical existence-matter-space
ontology).
Photon KE does not travel space paths; as pure
oscillation it resides solely in time and this makes it common to all possible
observers in space (just as your desk resides solely in space and is common to
all possible observers in time). Innumerable observers can share the same
entity (photon KE or rest mass [chair]) if they are orthogonal to it (i.e., do
not reside in its dimension, space or time).
·
The photon is a
quantum whole combining: 1) oscillatory KE residing in time (the photon’s
kinetic identity); and 2) waveform potential mass (the photon’s potential
identity) progressing on all available space paths.
What progresses on photon space paths (and diffracts
courtesy of slits and pinholes) is the stored (potential) mass of photon KE.
This latent mass, as a dependency of oscillatory photon KE, also oscillates
giving it the waveform; it is devoid of anything that exists. Being potential
it governs photon termination probabilistically and as non-material occurrence.
Photon KE, which occurs/oscillates and resides in time, is
unaffected by a slit-induced dispersion of space paths. At termination, the KE
in time must intersect with target matter in space and the two can only meet
discretely at a point in both dimensions: an event. The reception of photon KE
gets interpreted (via classical ontology) as particle reception, but there is
no particle involved.
Photon potential mass has a waveform presence
in space where it oscillates and moves at the speed of light. These are
Einstein’s “ghost” waves [9, p.2-3] as their content is potential mass. These
waves can spread (and rarefy) indefinitely in space and they govern probable collective
termination. But they are subject to instantaneous space collapse because they
have a single point of failure in orthogonal time, namely photon KE
oscillation. Probabilistic photon potential mass accounts for photon wave
behavior just as photon KE in time accounts for “particle” behavior.
Within the double slit, the photon potential mass
diffracts creating many possible paths of possible termination. When
termination occurs on a path the time-residing photon KE is undiminished.
Occurrence, KE and time are currently denied their
own reality; they must piggyback upon classical ontology. We pay lip service to
the equality of space and time (relativity) and the equality of mass and energy
(E = mc2), but we don’t take that equality seriously or apply it to
ontology. Continuing to force radiation and the photon into the structure of
classical ontology is not the way forward. It has held us back for almost 100
years.
Postscript
Modern physics had no designer; its
theories were put together piecemeal. The theory of kinetic energy came from
men who knew almost nothing of radiation. Their theory works quantitatively but
is based on the wrong ontology; it has left us with paradoxes whose removal is
desirable. Arguing that our theory of energy is an “untouchable” is to ignore
the untidy history of physics theories.
These pages have used a bit of philosophy
(ontology*) to reorganize those parts of physics we can agree are real and
measurable: rest mass, kinetic energy, stored (potential) mass, space and time.
No invention, no metaphysics here.
Open Questions: Kinetic
energy is certainly a quantity for both matter-in-motion and for radiation. But
if we grant radiation KE a presence in time does that give us two conflicting
varieties of KE, one for radiation and one for matter-in-motion? And what about
the instantaneous collapse of a photon’s potential mass? This smacks of
nonlocality as Einstein noted long ago.[10, p.51-2] These questions cannot be
addressed in a short essay directed solely at radiation. The author has made an
attempt at those questions elsewhere, www.URL-forthcoming … /
* * * * * *
* * * * * * * * * *
* Comparing
quantized, space-stationary matter with quantized, time-stationary radiation.
Sources
[4] Pais,
Abraham. Niels Bohr’s Times, In Physics,
Philosophy, and Polity, Clarendon Press, Oxford, 1991.
[5] Feynman,
Richard. QED: The Strange Theory of Light
and Matter, Princeton Univ. Press, 1985.
[7] Jammer,
Max. The Philosophy of Quantum Mechanics.
John Wiley & Sons, 1974.
[9] Dongen, Jeroen van. “The interpretation
of the Einstein-Rupp experiments and their influence on the history of quantum
mechanics,” https://arxiv.org/abs/0709.3226 (accessed Nov. 2019).
[10] Becker,
Adam. What Is Real? Basic Books, New
York, 2018.
I think you have it. I just want you to take a bit of a brain change if you have a minute. I had stumbled on the solution to the wave / particle thing in 1968. The answer has to do with the time / space continuum changing at macro, micro, galaxy perspectives. You should relate to that. It is on the web - right here: http://www.amperefitz.com/If it would help, I wrote a short narrative about what it takes to GET this shift in perspective here:
ReplyDeletehttps://carlscheider.blogspot.com/2018/08/the-two-slit-conundrum-solution.html
I don't need a reply. I am convinced that opening this door is critical for our next step in theoretical physics. Thanks for what you do. The original author of this is a little STRANGE, shall we say - but brilliant.He uses a little thought experiment - a la Einstein - to make the point.