Light and the 4-Vector Magnitude of the Three Absolute Quantities

Subtitle: The Respective Qualitative Invariance of Light for the Three Variants of Motion.

Introduction

If you haven’t understood the importance of quality or the center position it takes in post-modern physics, even more than quantity, then this is one of my articles that will provide you with the much-needed clarity.

In this scientific article, I want us to discuss the 4-vector magnitude of the three absolute quantities of post-modern physics. In physics, especially in relativity, a 4-vector is a mathematical object with four components.

The 4-vector is constituted of three space components and one time component. And now in post-modern physics, 4-vectors transform according to the transformations of absolute relativity and not according to the Lorentz transformations.

The 4-vector as it applies to the three absolute quantities of post-modern physics are derived from the absolute space-time metric and the three absolute quantities which it applies to in post-modern physics are the absolute uniform velocity, the absolute accelerated velocity and the absolute acceleration.

In post-modern physics, these three absolute quantities are qualitatively different from each other unlike the quantities of classical physics. So, when we are talking about how the 4-vector applies to the three absolute quantities, we are talking about three qualitatively different 4-vectors.

(I want you to read the scientific article above so that you will at least understand the origin of the three absolute quantities and the properties of absolute motion.)

The first we will discuss is the absolute uniform velocity 4-vector, then the absolute accelerated velocity 4-vector, and then the absolute acceleration 4-vector. These three 4-vectors harmonizes with the three variants of motion.

I will like you to read the scientific article on the three variants of motion because this scientific article just like my other scientific articles is not a standalone article. It is, as you may already know, related to other aspects of post-modern physics. 

It is after we have discussed these three 4-vectors that I will present in the section on crucial discussion how post-modern physics is different from modern physics in its presentation of the concept of 4-vector.

The Absolute Uniform Velocity 4-Vector

The 4-vector of the absolute uniform velocity for uniform motion is mathematically similar to that of the uniform velocity for uniform motion in modern physics, but in post-modern physics, we are dealing with the absolute nature of uniform motion and how it transforms according to absolute relativity and not according to the Lorentz transformation.

And in this absolute nature of uniform motion, all the components of the 4-vector for absolute uniform velocity are in their absolute natures especially light.

Remember that for all ponderable bodies in uniform motion, light is the least resistance to uniform motion. This is the absolute nature of light that is inserted into the 4-vector for absolute uniform velocity.

Furthermore, this absolute nature of light is obviously qualitative and it is not a quantitative description like the one inserted into the 4-vector for relative uniform velocity in special relativity.

Now, the 4-vector for absolute uniform velocity is presented as,

\bar v_{r} = (\alpha\.c, \;\;\alpha\.v_{x}, \;\; \alpha\.v_{y}, \;\;\alpha\.v_{z}) \;. \;\;\;. \;\;\;. \;\;\;. \;(1)

Since we want to deal with uniform motion only along the x-axis of uniform space, the above reduces to

\bar v_{r} = (\alpha\.c, \;\;\alpha\.v_{x}, \;\; 0, \;\;0) \;. \;\;\;. \;\;\;. \;\;\;. \;(1a)

The magnitude of the 4-vector for absolute uniform velocity above is gotten from

|\bar v_{r}|^{2}= \alpha^{2}\:c^{2} - \;\;\alpha^{2}\:v_{x}^{2}
|\bar v_{r}|^{2}= \alpha^{2}\:c^{2}\: \left ( 1 - \frac{v_{x}^{2}}{c^{2}} \right )

Since the inertial factor, \alpha^2= \delta^2\: \left ( 1 - \frac{v_{x}^{2}}{c^{2}} \right )^{-1} we have that 

|\bar v_{r}|= \delta \.c \;\;. \;\;\;.\;\;\;.\;\;\;.\;(2)

The above is the magnitude of the absolute uniform velocity 4-vector in absolute relativity or in post-modern physics. If you look, it is different from what we have in special relativity considering that we are dealing with uniform motion.

The above result for the magnitude of the absolute uniform velocity 4-vector is related to the delta number δ which even though it is equal to one for uniform motion and when we consider how only light underlies absolute relativity, it is still an important factor in post-modern physics.

Now, in absolute relativity, the above is interpreted to be that the magnitude of the absolute uniform velocity 4-vector for all inertial reference frames equals the least resistance to uniform motion c, which is what we call the speed of light at a quantitative level.

The magnitude of the absolute uniform velocity 4-vector for all inertial reference frames equals the least resistance to uniform motion c.Click To Tweet

This is an absolute, qualitative description of the magnitude of the 4-vector for absolute uniform velocity which is unlike that for special relativity where it is taken that the magnitude of the 4-vector for relative uniform velocity equals the speed of light.

The latter is a relative, quantitative description and it does not go to the real nature of how the 4-vector applies to uniform motion.

In special relativity or in modern physics, this magnitude is taken to be quantitatively invariant for all bodies in uniform motion. But in absolute relativity or in post-modern physics, the magnitude for the 4-vector of absolute uniform velocity is taken to be qualitatively invariant for all ponderable bodies in uniform motion.

You must know that in post-modern physics, only ponderable bodies can move in uniform motion. Uniform motion is not general to all bodies.

This is why I want you to read the scientific article on the three variants of motion so that I will not have to repeat myself and so that we can together get conversant with the true nature of motion in post-modern physics.

The importance of the qualitative invariance of the magnitude of the 4-vector for absolute uniform velocity above is that it can be different but it isn’t. Light maintains the same qualitative essence as the least resistance to uniform motion for all frames of ponderable bodies in uniform motion.

This is just as the quantitative essence of light as a speed c is the same for all bodies in uniform motion in special relativity. But even this quantitative essence of light is determined by the qualitative essence, which is the true, underlying nature of light.

If you understand what I am informing you about the magnitude of the 4-vector of the absolute uniform velocity, then it will be easy for you to understand what I am about to inform you about the magnitude of the 4-vectors of the other two absolute quantities.

Also, as I proceed to the magnitude of the 4-vectors of the other two absolute quantities, you will see how the absolute, qualitative essence of light changes and then you will appreciate the new truth that light at least maintains its qualitative invariance for each of the variant of motion.

The Absolute Accelerated Velocity 4-Vector

After dealing with the 4-vector magnitude of the absolute uniform velocity for ponderable bodies in uniform motion, we would have the 4-vector of the absolute accelerated velocity which applies to ponderable bodies in accelerated motion.

In this 4-vector and for the accelerated motion of ponderable bodies, light changes its absolute, qualitative essence and it becomes the maximum resistance to accelerated motion.

The 4-vector for absolute accelerated velocity is presented as, 

\bar v_{s} = (\alpha_p\.c, \;\;\alpha_p\.v_{a}, \;\; \alpha_p\.v_{b}, \;\;\alpha_p\.v_{c}) \;. \;\;\;. \;\;\;. \;\;\;. \;(3)

Since, like for uniform motion, we want to deal with the accelerated motion of the ponderable frame in question along only the x-axis of accelerated space, the above reduces to

\bar v_{s} = (\alpha_p\.c, \;\;\alpha_p\.v_{a}, \;\; 0, \;\;0) \;. \;\;\;. \;\;\;. \;\;\;. \;(3a)

The magnitude of the above 4-vector is gotten from

|\bar v_{s}|^{2}= \alpha_p^{2}\:c^{2} - \;\;\alpha_p^{2}\:v_{a}^{2}

|\bar v_{s}|^{2}= \alpha_p^{2}\:c^{2}\:\left ( 1 - \frac{v_{a}^{2}}{c^{2}} \right )

Since the luminal non-inertial factor, \alpha_p^2= \delta_c^2\: \left ( 1 - \frac{v_{a}^{2}}{c^{2}} \right )^{-1} we have that

|\bar v_{s}|= \delta_c \.c \;\;. \;\;\;.\;\;\;.\;\;\;.\;(4)

The delta number δc is also present in the above expression for the magnitude of the accelerated velocity 4-vector but it is also equal to one or unity.

In absolute relativity, the above informs us that the magnitude of the 4-vector for the absolute accelerated velocity for all ponderable bodies in accelerated motion is equal to the maximum resistance to accelerated motion c, which is what we call the speed of light.

The magnitude of the 4-vector for the absolute accelerated velocity for all ponderable bodies in accelerated motion is equal to the maximum resistance to accelerated motion c.Click To Tweet

Comparing or looking at how light applies to uniform and accelerated motions above would inform you that light has two qualitative essences in the universe that are behind its observed single quantitative essence as speed c.

So, now, in absolute relativity, the invariance of the magnitude of the 4-vector for the absolute accelerated velocity above is that light maintains its qualitative essence as the maximum resistance to accelerated motion for all frames of ponderable bodies in accelerated motion.

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You must have this understanding. For it is in the understanding of how light changes its absolute, qualitative essence from one variant of motion to another that we come to understand how relativity based only on Euclidean geometry applies to all reference frames, both inertial and non-inertial.

This is a great mystery of motion. And when you consider that light has a different qualitative invariance for uniform frames, you will begin to see how its respective invariance is special. 

The Absolute Acceleration 4-Vector

Now, we move into the electrical world of atoms where only special accelerated motion occurs. In this world and for their accelerated motion is where we encounter the absolute acceleration 4-vector which is written as, 

\bar a_{r} = (\alpha_e\.a_c, \;\;\alpha_e\.a_{x}, \;\; \alpha_e\.a_{y}, \;\;\alpha_e\.a_{z}) \;. \;\;\;. \;\;\;. \;\;\;. \;(5)

For the absolute acceleration 4-vector, light ac is the least vertical resistance to accelerated motion. It is what we now call the acceleration of light in post-modern physics.

Since we are dealing with the accelerated motion of an electrical body along only the x-axis of accelerated space, we have that,

\bar a_{r} = (\alpha_e\.a_c, \;\;\alpha_e\.a_{x}, \;\; 0, \;\;0) \;. \;\;\;. \;\;\;. \;\;\;. \;(5a)

The magnitude of the above 4-vector is gotten from

|\bar a_{r}|^{2}= \alpha_e^{2}\:a_c^{2} - \;\;\alpha_e^{2}\:a_{x}^{2}

|\bar a_{r}|^{2}= \alpha_e^{2}\:a_c^{2}\: \left ( 1 - \frac{a_{x}^{2}}{c^{2}} \right )

Since the luminal non-inertial factor, \alpha_e^2= \delta_a^2\: \left ( 1 - \frac{a_{x}^{2}}{a_c^{2}} \right )^{-1} we have that

|\bar a_{r}|= \delta_a \.a_c \;\;. \;\;\;.\;\;\;.\;\;\;.\;(6)

The above is the magnitude of the 4-vector for the absolute acceleration taking that light as the least resistance to accelerated motion is a factor of time in the 4-vector.

So, according to absolute relativity, the magnitude of the 4-vector for the absolute acceleration for all electrical bodies in accelerated motion is equal to the least resistance to accelerated motion ac, which is what we now call the acceleration of light.

The magnitude of the 4-vector for the absolute acceleration for all electrical bodies in accelerated motion is equal to the least resistance to accelerated motion.Click To Tweet

The above is the understanding of the qualitative invariance of light in the atomic world. It is as simple as presented but I will like to go further.

You know, what is called the least vertical resistance to accelerated motion is what is called the acceleration of light at a quantitative level. So, one may wonder how at a quantitative level can we establish some sort of invariance for the acceleration of light.

This question is special for this case of the absolute acceleration 4-vector because for the first two cases before this one, the absolute, qualitative nature of light is what translates quantitatively as the speed of light which is known to be constant.

But the acceleration of light is not constant neither does it manifest a constant speed, so how can we establish some sort of invariance for it and how it applies as the magnitude of the 4-vector for the absolute acceleration?

The way we establish some sort of invariance is still qualitative and it is related to the two underlying characters of the acceleration of light, one of which is that a value for the acceleration of light can either be the lesser acceleration of light or the greater acceleration of light, both depending on the electrical body in question.

Read this scientific article below to understand the origin of this idea. 

Now, when we are dealing with electrons in accelerated motion, then for all electrons in accelerated motion, the magnitudes of the 4-vectors of their absolute accelerations are all equal to the lesser acceleration of light.

This is the qualitative character and classification of the accelerations of light for all electrons. 

But when we are dealing with protons in accelerated motion, then for all protons in accelerated motion, the magnitudes of the 4-vectors of their absolute accelerations are all equal to the greater acceleration of light. 

This is the qualitative character and classification of the accelerations of light for all protons. This is how we establish some sort of invariance at a quantitative level for how the acceleration of light applies as the magnitude of the absolute acceleration 4-vector.

Though the more appropriate method is by looking at the absolute, qualitative nature of light as the least vertical resistance to accelerated motion for all electrical bodies which is what was first presented.

Crucial Discussion

It is high time we began to understand the universe in terms of quality and not quantity. This is what post-modern physics is teaching us about all things and it is what we have applied in this scientific article for the understanding of the magnitude of the 4-vectors of the three absolute quantities.

This scientific article is important as it shows you the absolute, qualitative way of understanding the invariance of the magnitudes of the 4-vectors of the three absolute quantities in post-modern physics.

This is obviously different from what we had in modern physics, where we had a quantitative understanding of the magnitude of the 4-vector. It has all changed in post-modern physics in the manner in which I have discussed in this scientific article.

Conclusion

What remains invariant in the magnitude of the 4-vectors of the three absolute quantities is the respective absolute, qualitative nature of light. This is not at all a quantitative description.

For the magnitude of the absolute uniform velocity 4-vector, light remains as the least resistance to uniform motion for all ponderable bodies in uniform motion. And for the magnitude of the absolute accelerated velocity 4-vector, light remains as the maximum resistance to accelerated motion for all ponderable bodies in accelerated motion.

While for the magnitude of the absolute accelerations 4-vector, light remains as the least vertical resistance to accelerated motion for all electrical bodies in accelerated motion.

Go through this scientific article again if you may. Do so until you are illuminated about how the absolute, qualitative natures of light underlie the invariance of the magnitude of the three different 4-vectors considered in this scientific article.

Until next time,

I will be here.

– M. V. Echa

Addendum: This scientific article only addresses how light underlies the absolute relativity of the three variants of motion. We will discuss in the future how the gravi-electromagnetic wave underlies only two of these variants of motion, and in fact, the one discussed in this scientific article for the acceleration of ponderable and electrical bodies are approximations of their true gravi-electromagnetic representations. 



M. V. Echa

M. V. Echa

My message is the universe, my truth is the universe, and this blog contains all you need to know about the universe, from the true nature of reality to the long-sought unity of the cosmos — which is the big picture!