QR3.7.1 The Curious Case of Quantum Spin

Quantum spin is so strange that when Pauli first proposed it, he wasn’t believed:

… the spin of a fundamental particle has the curious feature that its magnitude always has the same value, although the direction of its spin axis can vary…(Penrose, 1994), p270.

Figure 3.17. Physical spin

A physical particle spins in a rotation plane around an axis of rotation (Figure 3.17), where its axis must be known to measure its spin. Measuring spin on an axis that isn’t its rotation axis gives less than the total spin. If the spin axis is unknown, one must measure spin on three orthogonal axes to get the total spin. In contrast, the spin of a quantum entity measured on any axis is always the same, so quantum spin doesn’t work like physical spin.

In this model, detecting a photon’s spin on any axis gives all its spin for the same reason that detecting it always gives all its energy. In both cases, a physical event, is an all or nothing restart of the photon, including all its energy or spin, so this property is expected.

Physics also measures quantum spin in units of Planck’s constant in radians (Note 1). If Planck’s constant represents the linear transfer of one Planck process as proposed earlier, Planck’s constant in radians will then represent its units of angular transfer, or spin, so this is also expected.

Finally, according to quantum theory, quantum spin occurs in both directions at once, so measuring it gives either spin direction randomly. It also states that a photon goes through two slits at the same time, so measuring it gives either slit randomly. The simple conclusion is that the quantum law of all action applies to rotational movement as well as linear movement, so if photon instances can travel through two slits at once, they can also rotate in two directions at once. The result of measuring spin is then random because it depends on which instance accesses the server first. This strange property of quantum spin is then also expected by a processing model.

It follows that spin is a fundamental property of every quantum entity because processing spreads in angular as well as linear directions. The properties of spin assumed by physics are then expected.

Note 1. Quantum spin is defined as Plank’s reduced constant ħ = h/2p (in angular radians).

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QR3.7 Quantum Spin

In physics, quantum spin is a mathematical construct applied to quantum particles. Like quantum waves, it is said to be imaginary, so when electrons spin, nothing is supposed to actually spin. After all, if an electron is a point particle with no size, how can it spin? And even if it had a size, its edges would have to move faster than light to explain the observed effects. Physics calls quantum spin and quantum waves imaginary because both are physically impossible, but what if they aren’t?

 In this model, quantum waves aren’t imaginary, so if the core process behind them is a circle, it can rotate. This section explores the possibility that quantum spin really happens, so by the law of all action, quantum particles spin in every possible direction. 

QR3.7.1. The Curious Case of Quantum Spin

QR3.7.2. Quantum Directions

QR3.7.3. Polarization

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QR3.6.3 The Law of All Action

Super-computers running a million-million cycles a second take millions of seconds (months) to emulate not just what a photon does in a million-millionth of a second, but what it does in a million-millionth of that (Wilczek, 2008), (p113). Why do these tiniest bits of the universe, with no known internal structure, need so much computing to emulate? The answer proposed is that a photon isn’t a tiny particle of matter taking a single path but a processing wave spreading over many paths.

How then do photons travel in our world? Feynman’s sum over histories method predicts how light travels from A to B by calculating all possible paths, then choosing the one with the least action integral (Feynman et al., 1977) p26-7. It is based on quantum theory, so it predicts perfectly, but like its origin, became a method that works but not a theory that happens, because physical particles can’t do what it describes.

However, now suppose that a photon really is a processing wave. Feynman’s method then works because photon instances really do take all possible paths, and the first to trigger a physical event is where we see it arrive. The photon doesn’t need to know the fastest path to a detector in advance if it takes every path, and the instance that happens to arrive first reincarnates it in a physical event. This event makes its path the one the photon took, and its restart makes all other instances disappear, like a clever magician removing the evidence of how a trick is done after it happens.

This explains the law of least action that has puzzled science for centuries, as after all, how else could it happen? A particle can’t know the best path to an unknown destination before it leaves, so to do what it does, the photon takes every path and lets the physical result choose the fastest.

To recap, knowing nothing in advance, the photon spreads down every path, and when it reaches a detector, restarts, as only a processing wave can. What reaches a detector by the fastest route isn’t a solitary particle that magically knows the best path in advance, but a quantum ensemble that explores every path and disbands when the job is done.

It follows that every physical event arises from a myriad of quantum events. The quantum world tries every option and the physical world takes the best and ignores the rest, so if this isn’t the best of all possible worlds, as Leibniz said, it isn’t for lack of trying. The world we live in isn’t the only possible world but of all possibilities tried, it may be the best it can be. Just as a photon tries every path before picking the best, perhaps our universe did the same, given what was possible.

The physical law of least action can then be seen to derive from the quantum law of all action that:

Everything that can happen as a physical event, does happen as a quantum event.

This is equivalent to Feynman’s everything that can happen does happen (Cox & Forshaw, 2011), as well as Gellman’s quantum totalitarian principle that everything not forbidden is compulsory. Both imply that quantum events explore every possibility before a physical event is chosen. This law of all action, that whatever can happen does happen in the quantum world, is universal, so it applies not only to how light travels, but also to quantum spin.

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QR3.6.2 The Law of Least Action

Figure 3.15. Light refracts

In 1662 Fermat amended Hero’s law to be the path of least time because when light enters water, where it travels slower, it refracts to take the fastest path not the shortest path. In Figure 3.15, light takes the path that bends as it enters water, not the dotted shortest path.

To understand this, suppose the photon is a lifeguard trying to save a drowning swimmer as quickly as possible. The fastest path to the swimmer isn’t the dotted straight line but the solid bent line because lifeguards can run faster than they swim, so it is faster to run further down the beach then swim a shorter distance. The dotted line is the shortest path but the solid line is the fastest, and that is the path light takes in Figure 3.15. But while a lifeguard might know in advance which path is fastest, how does refracting light know this?

In 1752, Maupertuis generalized further that:

The quantity of action necessary to cause any change in Nature always is the smallest possible”.

Euler, Leibnitz, Lagrange, Hamilton, and others then developed the mathematics of this law of least action, that nature always does the least work, sparking a furious theoretical debate on whether we live in the best of all possible worlds. Despite Voltaire’s ridicule, how light always finds the path of least action, for any destination, remained a mystery.

Figure 3.16. Law of least action in optics

For example, light bouncing off the mirror in Figure 3.16 could take any of the dotted paths shown, but according to optics, always takes the solid line fastest path. But as a photon moves forward in time to trace out its path, how does it at each stage know the fastest route? As Feynman says:

Does it ‘smell’ the neighboring paths to find out if they have more action?” (Feynman et al., 1977), p19-9.

To say that a photon chooses in advance the path of least action is to get causality backwards. That a photon, the simplest of all things, with no known internal mechanism, always finds the fastest path to any destination, for any media combination, any path complexity, any number of alternate paths, and inclusive of relativity, is simply miraculous. The law of least action is a physical law that is no less a mystery today than it was centuries ago, but like all physical laws, it has its basis in a quantum law.

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QR3.6.1 A Wave Moves

How light travels to a destination depends on whether it is a wave or a particle. Newton explained why he rejected Huygens’s wave view of light as follows:
For it seems impossible that any of those motions … can be propagated in straight lines without the like spreading every way into the shadowed medium on which they border.” (Bolles, 1999), p192.
Figure 3.13. A photon’s probability of existence

He was correct that if light moves as a wave, it should bend round corners as sound waves do, but actually it does. In 1660 Grimaldi found that light does bend but less than sound because its wavelength is shorter. The question is then, how can a spreading wave travel in a straight line?

According to quantum theory, where a photon is detected depends on the power of its wave. Figure 3.13 shows how that power varies along its direction axis, where it’s more likely to exist at the thicker sections.
Figure 3.14. Detecting a photon of light

Detecting photons by screens at different distances confirms this, as the results aren’t a perfect straight line but randomly spread about (Figure 3.14). A physical particle would have to travel in a zigzag path to explain this! When a photon moves, it is most likely to exist in a straight line, but the wave itself spreads in all directions.

If light only travels in a straight line on average, why are the straight lines of Greek optics so effective? The answer isn’t because light consists of particles that travel in straight lines, but because it is a wave, but first, we continue the history of how light travels.

QR3.6 How Light Travels

That light always finds the best path to any destination has puzzled thinkers for centuries. Hero of Alexandria observed that light always takes the shortest path but how does it know what that is? It might seem obvious that it is a straight line but how, at each step, does light know what straight is? (Note 1) How light always finds the best path to any destination is still a mystery today.

QR3.6.1. A Wave Moves

QR3.6.2. The Law of Least Action

QR3.6.3. The Law of All Action

Note 1. By relativity, light doesn’t always travel in a straight line, so “straightness” is not self-evident.

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QR3.5.3 The Quantum Lottery

What decides where a photon hits a screen? The photon wave spreads to many screen points, but it only ever hits one point. That point is random, like a lottery where everyone has a chance, but according to quantum theory, the hit chance is higher where the wave is stronger. More precisely, the photon wave defines a probability to hit at each point, based on its strength. These probabilities add up to one, so it always hits somewhere, but exactly where is a free choice that doesn’t depend on any physical history. Quantum theory then explains the two-slit experiment by this mechanism:

1. The photon wave spreads through both slits.

2. It then interferes with itself to give a net strength at many screen points.

3. This strength squared is the photon’s probability to hit each point.

4. Where it actually hits is then randomly chosen from these probabilities.

5. The result is the interference pattern seen.

After the photon wave spreads through both slits, its positive or negative amplitudes combine at the screen to give a net strength, whose square predicts its probability to hit at each point. A random value between zero and one then decides where it actually hits, which no physical history can predict.

This mechanism predicts the interference pattern seen, but if quantum waves are imaginary, how can it do this? If quantum theory is imaginary, physicists are no different from shamans who see the future in their imagination! Physics isn’t real if quantum waves aren’t real so to avoid this, let them be processing waves spreading on a network that restart in physical events. Quantum waves then predict physical events because they cause them but if so, what decides where a processing wave restarts?

A processing wave reaching a screen made of matter will overload it at many points. They will then reboot, to request a server restart, so the server response will be either:

1. Access. The server accepts the request to restart at that point, so it no longer supports the rest of the wave, which collapses. This then is a physical event at that point. OR,

2. No access. The server doesn’t respond that cycle as it is busy elsewhere, so the point just carries on. This then was a potential physical event that didn’t happen.

Quantum collapse is then random to us because it is a winner takes all lottery run by a server outside our domain. When many points reboot, the first one to access a server restart wins the prize of being the photon, leaving the rest of the wave to wither on the grid. What decides which point wins this lottery? It is expected that those points that access the server more are more likely to restart it.

According to quantum theory, a photon wave’s probability to hit a point depends on its strength at that point squared. Light is a sine wave, so its amplitude squared is its power, which for a processing wave, requires more server access. If positive and negative amplitudes cancel at the server, the net power of a wave decides the number of instructions needed, and hence server access. It follows that points where teh wave has more power will access the server more and so are more likely to restart it. The probabilities to hit of quantum theory are then based on the net amplitude squared because for a processing wave, that power decides access to the server that restarts it in a physical event. The strange mechanics of quantum theory become sensible if a photon is a processing wave!

To recap, photon instances overload many screen points but which one actually restarts the wave depends on server access that is to us unknown, i.e. random. Even so, the amplitude squared of the wave predicts its probability to hit at each point because that defines access to the server that restarts the photon. The two-slit experiment can now be described in processing terms as follows:

a. The photon wave spreads instances through both slits.

b. Instances that reach the same screen point by different paths interfere.

c. The first instance to restart its server is where the photon hits.

d. Which instance restarts its server depends on the power of the wave at each point that decides server access.

The mysteries of Young’s experiment (3.1.3) are now resolved. How can a photon go through two slits but still arrive at one screen point? A particle can’t do this, but a processing wave spreading on a network can restart at a point. How can sending one photon at a time through two slits still produce an interference pattern? Again, one particle can’t go through two slits or interfere with itself, but a processing wave can. Why then does light come in little photon packets, as Einstein showed? Physical waves don’t come in packets but processing needs a fundamental process, and that is a photon. Why doesn’t the photon wave smear over a screen as a wave would? A physical wave doesn’t hit at a point, but one process with one server has to restart at one point.

A detector put in one of the two slits only fires half the time, but it isn’t because half the photons go through each slit. Photon instances always go through both slits, but the detector only wins the quantum lottery for server access half the time, as the server is attending to instances in the other slit the rest of the time. Likewise, detectors in both slits fire equally often, but it isn’t because photon particles choose between the slits equally. Again, each photon always takes both slits but it can only restart in one, as decided by a server that attends equally to all its instances.

This mechanism now answers questions like:

a. Does one photon go through both slits at once? Yes, photon instances go through both slits.

b. Does it hit the screen at one point? Yes, the photon process restarts at one screen point.

c. Did it take a particular path? Yes, the instance that restarted the photon took a specific path.

d. Did it also take all other possible paths? Yes, other instances, now disbanded, took every path.

Table 3.1 below compares Feynman’s summary of quantum mechanics (Feynman et al., 1977), p37-10 with a processing wave approach. Both approaches predict the same results, but the first is a recipe with no rationale, while the second has reasons based on processing. What couldn’t be understood fifty years ago now makes sense based on network processing.  

Another mystery of light that has baffled scientists for centuries is how it travels.

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Table 3.1. Quantum mechanics in processing wave terms

Quantum Mechanics

Processing Wave

1. Existence. The probability a quantum entity exists is the absolute square of its complex quantum amplitude value at a point in space

1. Existence. The probability that a processing wave restarts in a physical event depends on server access that varies as the square of its amplitude at a point in space

2. Interference. If a quantum event can occur in two alternate ways, the positive and negative amplitudes combine, i.e. they interfere

2. Interference. If a processing wave reaches a point by alternate paths, the positive and negative amplitudes combine, i.e. they interfere

3. Observation. Observing one path lets the other occur without interference, so the outcome probability is the simple sum of the alternatives, i.e. the interference is lost

3. Observation. Observing a processing wave on one path lets the other occur without interference, so the outcome probability is the simple sum of the alternatives, i.e. the interference is lost

 

QR3.5.2 Quantum Waves Restart

If a photon is a spread-out wave, as quantum theory says, how can it arrive at a point? A wave should hit a barrier as a smear, but a photon hits a screen as a dot instead. Radio waves are many meters long, so they should take time to arrive, even at light speed, but they don’t. If they did, in the delay between a wave front’s first hit and the rest arriving, the tail could hit something else. One photon could hit twice, but it never does! Physical waves deliver their energy over time and space, so how does a quantum wave deliver all its energy instantly, at a point? As Walker says:

How can electromagnetic energy spread out like a wave … still be deposited all in one neat package when the light is absorbed?(Walker, 2000), p43.

The fact is that physics doesn’t know how any wave could collapse instantly at a point:

After more than seven decades, no one understands how or even whether the collapse of a probability wave really happens.” (Greene, 2004), p119.

Einstein rejected quantum collapse because it implied faster than light travel. He pointed out that if a photon is a wave that spreads, as quantum theory says, then:

Before the photon hits a screen, its wave function exists at points A or B with some probability but after, it is entirely at point A say not at B. The moment A knows it is the photon, then B knows it isn’t. Now suppose the screen is moved further away, eventually A and B could be in different galaxies, so how can the collapse happen instantly? That two events anywhere in the universe are instantly correlated faster than light contradicts special relativity.

Physical waves can’t collapse instantly so how do quantum waves do this? They can if they are processing waves that restart when a network point overloads and reboots. In computing, a reboot:

1. Is irreversible. A reboot can’t be undone because all prior processing is lost.

2. Conserves processing. The amount of processing before and after a reboot is the same.

3. Allows change. A reboot can allocate the processing involved in new ways.

When a phone, laptop, or printer overloads it reboots, to restart its processing from scratch. A network point is the same, except its processing comes from a server. It follows that when a network point overloads, it will reboot by trying to restart its server processing

A photon processing wave arriving at a screen is expected to overload its points, as they are already fully occupied generating its matter. If many points reboot at once, they will all request a server restart but one photon has only one server, so only one request can succeed. The photon then restarts at that point, so it always hits a screen at one point not many.

Quantum collapse is then a processing wave restarting at a point. The photon arrives at a screen as many instances spread over many points, but only one of them can restart it. When this happens, the other instances have no server support, so they disappear instantly, as quantum theory says. Quantum collapse is the inevitable disbanding of child instances when their parent server support ceases. The quantum wave collapses instantly, as if it never was, because instances have no substance.

Why then doesn’t the reboot point overload again when a photon restarts? The pass-it-on protocol (2.4.4) avoids this, as the point passes on its processing before doing anything else, so the photon that caused the overload just starts to spread again.

To recap, a photon arriving at a screen isn’t a lonely particle heading for a single hit point, but a wave of many instances, any of which can restart the photon. When a screen blocks this wave, the restart point depends on what its server is doing at the time, which to us is random. Many points may request a restart, but only one can succeed, so the first point to do so is where the photon hits the screen.

Why then does quantum collapse occur instantly, faster even than light? The speed of light depends on the screen transfer rate but when a program changes a screen pixel, no movement is needed. It doesn’t move to a point to change it, but does so directly, anywhere on the screen. Likewise, a photon server can instantly alter its clients anywhere on the screen of our space, regardless of distance. The point-to-point screen transfer rate that defines the speed of light is thus irrelevant to the server-client cause of quantum collapse. Einstein’s objection that quantum collapse occurs faster than light doesn’t apply because it is a server effect, not a client effect.

Materialism sees a world of things that persist but quantum realism sees a world of quantum events that don’t. Yet these events aren’t fanciful, because the equations describing them predict physical events. The evidence supports quantum theory, not materialism, so a new world view is needed.

For example, when electrons collide and bounce apart, we see the same particles leaving as went in, but quantum theory tells another story. If the quantum waves entering the collision restarted, the electrons that went in aren’t those that came out, but actually brand-new creations, fresh off the quantum press. Quantum theory implies that physical events annihilate and recreate entities, so there is no need to assume some matter substance. Physics suggests that we live in a world of events, not things.

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QR3.5.1 Hidden Variables?

Einstein, like Newton, expected light particles to follow one path from source to screen, so when the data favored quantum theory, that waves interfere then hit the screen at a random point, he had two options: either quantum theory was wrong or the physical causes were unknown:

“This is the fundamental problem: either quantum mechanics is incomplete and needs to be completed by a theory of hidden quantities, or it is complete and then the collapse of the wave function must be made physically plausible. This dilemma has not been solved until today, but on the contrary has become more and more critical.” (Audretsch, 2004), p73.

This problem, which Einstein raised and Bohr ignored, still haunts physics today. On the one hand, all attempts to find hidden variables that make quantum randomness physically plausible have failed. On the other hand, all attempts to show that quantum theory is incomplete have also failed, so the rules of the quantum world predict perfectly but have no physical explanation.

What then is the solution? Both theories, that quantum theory is incomplete or that it is physical, have led nowhere, so the answer must lie elsewhere. That quantum theory is either wrong or physical assumes that matter explains everything. But if materialism is wrong, quantum theory could be true without being physical. We know it is true because it always works, and we know it isn’t physical because nothing physical can do what quantum theory says it does, so perhaps physical events can’t explain quantum events because they are created by them, as quantum theory says. It follows that physical variables can’t explain quantum theory because it is outside their domain. 

For example, the rules of Minecraft don’t explain how its blocks exist, nor do the rules of chess say how its pieces exist, because that is outside their domain. A created scene can’t be fully explained by its local rules, so perhaps physical rules can’t explain photons for the same reason. I can turn off a game or tip over a chess board so likewise, what generates physical events doesn’t have to follow their rules. But if quantum events are outside the physical domain, what are the rules?

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