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Consciousness: The Differential

Consciousness is a controversial topic because the study of the phenomenon has brought about more confusion. Although neuroscience and psychology have compiled lots of research in the hope of understanding consciousness better, consciousness largely remains a philosophical phenomenon. The study of consciousness is the study of the Self. It is the belief that consciousness can be resolved logically that drives the research in computer science. I believe the ‘problem’ of consciousness can be attacked fundamentally. [I intend to divide this paper into many posts so I don’t spend too much time on one post]

 

1. The Differential

Living things process information (data); we take in smell (nose), touch (skin), visual information (eyes), audio (ears), and taste (tongue). These major organs are akin to sensors in electronics. Information is taken in and then processed. But how is information processed? This is an important question that must be answered in the pursuit of replicating consciousness via artificial intelligence (AI).

[Can consciousness be ‘replicated’ per se? Well, I like to think that we (animals) are reactionary beings; meaning that we react to consciousness rather than seek to grasp it. In our reactions we have gone a long way, in engineering, in science, in art. We can also react in such a way as to ‘duplicate’ what we are. Indeed, since we are more like existential robots (in a deep sense), then conciousness can also lead us to react by technologically creating consciousness. Some scientists and philosophers might argue that how can we create something that we do not understand, but the truth is we don’t have to understand consciousness for us to recreate it. Remember, we are “reacting” to consciousness. This might stem up yet a new argument: if we are reacting to consciousness, then are we really ‘conscious’? This is a compelling argument which I tried to answer here. In the writeup, I maintained that human beings are not necessarily ‘conscious’, that in fact what we are, are reactions to consciousness. So, yes, we can and we are going to replicate consciousness, but not because we understand consciousness.]

So, information comes in, say, molecules through my nostrils (smell). The nostrils act as sensors. In the case of artificial intelligence (AI), such a processing unit would have to differentiate sense inputs. All information coming through the inputs (senses); vision, audio, olfactory, taste, and tactile (touch) , have to be differentiated. This is the first logical step in replicating consciousness.

The differential ‘d‘ is correlate to the logic gate in electronic circuits where we have the inputs and the output. This logic gate would form the differential. Before we further analyse the differential, we have to analyse the sensory inputs (in the case of AI) and what makes them “sensible”. We shall do this deduction in the next post.

The Theory of Everything: Motion

Physics describes motion as a change in position of an object with respect to time. Motion is a central aspect of Physics that has captivated curious minds throughout history. Aristotle, in his Physics, taught about motion, he held the view that everything that moves is moved by another (which was debunked centuries later). Galileo Galilei’s postulate of inertia states that; a moving body on a level surface will continue in the same direction at constant speed unless disturbed. Isaac Newton built on Galileo’s findings and presented his own laws of motion. Albert Einstein, in his special and general theories of relativity, basically talked about motion. A body moves from point A to point B, what could be so involved in such simple a reality as motion?

In the classical universe sense, motion primarily involves the movement of celestial bodies. It would appear as though matter is always in motion, always changing position with time. But what is the quintessence of motion, what does a universe in motion mean? Let’s imagine a universe in which everything was perfectly static, a universe in which there is no motion, no vibration, no change in position; is that even possible? From this perspective, an observer would realise that the concept of motion is in fact a ‘universal’ concept. Matter is constantly in motion, from galaxies to solar systems to mere objects. Consider motion as a ‘state’ of our physical reality, just like liquid, solid and gas are states of matter.

A coin is tossed, and its path of motion is observed. Somewhere going up or down let’s pause it, at an instant, a moment in time. Now let’s observe the coin at this moment. Open your mind to observe  this perfectly stopped coin in the air because therein lies the theory of everything. [Note that ‘instant’ and ‘moment’ might be used interchangeably]

At the time the coin is instant in motion, what do we really know about this coin? Think with me, observe. At that instant in the coin’s travel, we can’t tell whether the coin is still going up or coming down! In fact, the coin could have been thrown from a different angle entirely and stopped at the same point in the air! Or maybe the coin was lifted to that particular position and let go, or maybe the coin wasn’t tossed at all, maybe it fell from an anchor in the ceiling. Point is, that moment of the coin’s travel, that perfect pause, has infinitely many solutions to it.

Let’s look at another example. Let’s imagine a moment of a planet’s travel around the sun, a perfect pause, and let’s observe this moment. One would notice that we don’t know much about the planet at that instant. The planet could in fact be rotating clockwise or anticlockwise around its equator, we don’t know! At the perfect stop, the planet could be orbiting clockwise or anticlockwise around its star, we have no idea.

We just see objects move and we somewhat expect them to behave in certain ways in motion. A tossed coin travels up and down, a planet orbits counterclockwise around the sun, a kicked ball accelerates, and so many other exhibitions of motion. But it is only when we investigate a moment that we begin to understand the true nature of motion.

What is a moment?

Let’s define a moment as a perfect instant in time, infinitesimal. Let’s denote a moment in time as dt. 

sunset-beach-lovers-webphoto

At a moment in a body’s motion, dt, not much information is known about that body. Its instantaneous position is known, but other information about the body are unknown. Let’s refer back to our tossed coin example.

coin_toss1

The picture above (photocredit included, also edited) shows a tossed coin at a moment, dt, some distance from the tosser’s hand. Now let’s take a step back and inspect this moment. How did the coin get there? We know that someone tossed it alright, but could the coin’s position at that moment be the result of a different action entirely? Let’s see, first, let’s investigate the phenomenon: at that moment, dt, was the coin going up or coming down? We can’t tell! Let’s try another thought, let’s say someone else threw the coin at the tosser and the coin happened to pass the exact same position at dt in the picture, would we know by investigating this moment alone whether the coin was tossed or was thrown? No, we couldn’t know this. Let’s say the coin wasn’t even tossed or thrown, let’s say it was suspended by some anchor at the ceiling, and upon release fell through the same position at the same moment dt. We can now understand by this series of critical thoughts the infinite nature of a moment. A body’s moment is the result of an infinite possibility of actions. The coin’s position at the moment dt could be the result of an infinite variety of actions. This leads to my first postulate.

Enesi’s first law of motion: A body’s position at a moment, dt, is the resultant of an infinite possibility of actions.

Having gone this far, let’s have a look at another phenomenon. Let’s consider a second moment of the tossed coin’s path, different from the first moment we analysed (figure below).

coin_toss1 - Copy (2)

As is observed from the figure above, the coin’s instantaneous position is different from the first case we analysed. This is a new position entirely, a new moment. Let’s subject this case to the same thought process as we did in the previous case: what do we know about the coin in this new position? Nothing much, we know it’s in the air at an instant, but we don’t know whether it’s travelling up or down. Maybe that instantaneous position is the maximum height of the coin’s path, we still do not know! The instantaneous position of the coin at that moment could be the resultant of an infinite series of actions, just as we saw in Enesi’s first law of motion. The coin could have been thrown, kicked or tossed from various angles and still travel the exact same position! Now, let’s get to the crux of this critical thought process. At this point, the reader would have to open his/her mind radically, for it is at this point that Enesi’s second law of motion unveils itself. Here goes the controversial question: after considering all these analyses, how do we know that the coin’s position in this particular case leads to the previous case?

We know that each moment in the cited examples above has  its ‘independent’ properties that prove how disjointed the linear concept of motion is. One moment of a body’s motion is ‘absolutely’ different from another moment of the same body. ‘Absolutely’ goes with the fact that although a body is put in motion by same action, a moment along the trajectory behaves unrelated with another moment along the same trajectory.

Enesi’s second law of motion: Every moment, dt, of a body’s motion is absolutely independent of the subsequent and previous moments, and also the general course of action.

To make things even clearer, let’s consider a third case of the tossed coin.

coin_toss1 - Copy

Same rules apply in this third case. There is no way to link case 1, case 2 and case 3 together. Even if these moments are of the same action, each moment behaves like it were from a different action entirely with its own infinite possibilities.

This method of doubt or critical thinking makes the observer ask yet another question: If moments seem to be totally detached from each other, then why do I see a kicked football travel up and down in a ‘definite’ trajectory, or a planet rotate and orbit the sun in a ‘specific’ way, or a tossed coin travel up and down through infinite moments? If we say moments are absolutely independent of each other due to Enesi’s second law, then why does motion appear orderly as though it were following a set of rules (Newtonian motion)?

These ‘disturbing’ thoughts are probably what made Zeno of Elea (490 — 430 BC) describe motion as an ‘illusion’. Zeno’s paradoxes are a set of hypothetical problems that support this illusive viewpoint on motion. The one that concerns us most here is the Arrow paradox (figure below).

Zeno_Arrow_Paradox

Zeno states that in any one instant of time, the arrow is neither moving to where it is, nor to where it is not. It cannot move to where it is not, because no time elapses for it to move there; it cannot move to where it is, because it is already there. In other words, at every instant of time there is no motion occurring. If everything is motionless at every instant, and time is entirely composed of instants, then motion is impossible.³

Zeno understood the problems that the moment posed to the concept and reality of motion as we know it; that at any instant in a body’s motion, almost all information appears to be gone. Then how is motion possible if all moments are absolutely independent of each other? This is the problem that Enesi’s second law creates.

Before addressing this problem, let’s first understand what information means. A cup of hot coffee is on a table, in a room of ambient temperature. What happens? There is an exchange of information between the cup of coffee and the room, in what we perceive as thermal convection. A plucked billiard ball accelerates, this moving ball possesses information, what we perceive as momentum. The moving ball hits a stationary ball in its path, and what happens? There is an exchange of information in what we perceive as the the conservation of momentum. So, in our universe, information always appears to be conserved. This phenomenon is what led to Isaac Newton’s third law of motion; that for every action there results an equal and opposite reaction.

There has to be a means by which information is carried. Yes, information is conversed, but the conundrum lies in the fact that even action is a reaction! And action is information, so before the big-picture law of action-reaction, we have to break down this picture into tiny bits called moments. It is only when we look at motion this way that we begin to get an even more accurate picture.

So, Enesi’s second law states that moments are absolutely independent of each other. This leaves us with one possibility and one possibility only: the moment is the carrier of information.

we denote the information carrying moment as sunset-beach-lovers-webphoto. The arrow on top dt signifies progression or flow as we perceive time to be, moving forward. So let’s write the equation for the information carrying moment:

wole2

where the subscript ‘i’ stands for information.

Traditionally, all moments in a time interval, Δt, should add up to a duration in any given case, such that;

wole2

But this is pointless! It is pointless to add up moments, because in any time interval, there are infinite moments. Even a time interval of a second is made up of infinite moments. A time interval of a nano second is made up of infinite moments. The equation above illustrates the nonadditive rule of moments.

So how are time intervals even possible when they’re made up of infinite moments? How do we then differentiate 1 second from 3 seconds as they all contain infinite moments? These are tough questions, but every tough question has its intricate solutions. Durations are possible because of the additive property of measured time;

wole2

In the above example, 1 second interval is added to 0.0001 second (another time interval) added to 59 seconds to give 60.0001 seconds. In our everyday activities, we deal with time intervals, no matter how small. Time intervals add up to give time intervals. Moments can’t add up to give time intervals, this is because moments are a different perspective on motion entirely, attacking the more instinctive understanding of motion.

We have illustrated so far that every time interval comprises infinite moments. What is the underlying concept? Infinity. Infinity occurs again and again in our universe, in our experiences. So it is no surprise that motion as we know it is fundamentally of the universal principle of infinity.

Remember that the information carrying moment, wole2, is independent of other information carrying moments, therefore, we need a new parameter to make motion make sense. We need something to connect the info carrying moments. This brings us to Enesi’s third law of motion.

Enesi’s third law of motion: all information carrying moments of a body’s motion are stringed up by the infinity mode to form a time interval.

Finally, motion makes sense, and this is because of the function of the infinity mode. Motion cannot occur without the infinity mode, this is the importance of the infinity mode. It is the infinity mode that makes time intervals possible.

wole2

The infinity mode is denoted as shown above. The square brackets symbolise containment. So far, this is the most important parameter we have derived, it is the major ingredient evident in motion. Infinity is a universal concept, and down to mere events it is persistently evident. Infinity is the factor that makes motion possible.

It is thus clear that infinity determines the time interval. This can be written in an equation.

wole2

Let’s refer back to the tossed coin exercise, as there is yet another important observation to make. As the coin is brought to a perfect pause, a moment, an instant in time, something happens, a phenomenon not initially noticeable. Everything else comes to a perfect pause as well! Ideally, you can’t pause the coin’s motion midway without pausing the air molecules around it, and every other thing previously in motion. This brings us to state Enesi’s 4th law of motion.

Enesi’s fourth law of motion: all motion (all infinity modes) are stringed in a deterministic sequence.

This implies that the momentarization of a body in motion affects the motion of another independent body, irrespective of relative location. So, say a football is in the air at New York during a match, and at same time a Formula One racing car is speeding off at an event in Barcelona, slowing the speed of the football to an instant would in turn slow the Formula One racing car to an instant respectively. So, motion is fundamentally deterministic; the motion of a body directly affects the motion of another body anywhere in the universe. This phenomenon might not be readily evident in everyday observations of motion, but it is the most amazing phenomenon associated with motion.

References

  1. https://en.wikipedia.org/wiki/Physics_(Aristotle)
  2. https://en.wikipedia.org/wiki/Galileo_Galilei
  3. https://en.wikipedia.org/wiki/Zeno’s_paradoxes
  4. https://en.wikipedia.org/wiki/Universe

 

[Please note: this blog is copyrighted, meaning that it is an act of plagiarism to copy part or whole of this post without the writer’s consent. This paper took me months to write, though I have rough sheets of previously jotted down details, I had to bring it all together to make real sense. My next paper would be on the ever controversial topic of consciousness: the theory of everything. So, please read and comment on these bold steps that make up the contents of Universals]