THE EXPRESSION E=mc2 MANIFESTS THAT IN REMOTE TIMES THERE WERE SEVERAL EXPLOSIONS THAT EXPELLED THE ATOMS OUTSIDE A COMMON ENVIRONMENT

 Intellectual Property Registry: B-1221.21

 

SECOND DELIVERY

(NOTE: This topic is an adaptation of the study carried out by this same author and published in the scientific journal: “International of Fundamental Physical Science (IJFPS))

For the reader's guide, we include an index of the topics that we will discuss:

 1.- Rebooting the history of an atom

       1.1.- Meeting of physical contents - Theory of

                Meeting

      1.2.- Manifestations of physical magnitudes.

2.- Looking for the symptoms of the explosion

      2.1.- The atom has incorporated the content of

               a force

3.- Manifestation through the expression: E = mc^2

      of the energy contained in the atom

We go on to explain these issues below.

1.- RESTARTING THE HISTORY OF AN ATOM

As a continuation of our first installment, we begin our essay considering the idea of ​​the movement that atoms have, in infinite directions, within the matter that contains them.

We apply our reasoning on the body of an atom that, to understand us, we will call its mass (m). and we anticipate in this brief summary, which later we will justify with physical approaches.

We start from the fact that we know that the expression E = mc^2  contains two physical quantities whose joint action in a certain process can generate a large amount of energy.

From this fact we will go back in time to try to find the way from where this source of energy began.

In this return to the past and restarting the story of what happened, we make the hypothesis that an expansion FORCE (F) intervened, perhaps due to an explosion, which in ancient times acted in all directions and on all atoms, among them the atom that we choose as a prototype in our essay.

 That Force (F) injected a potential into the atom to be able to carry out work. To identify this work (T), we will use the corresponding physical quantities that define it:

                                                   T = F × e

In which (F) is the force that will have acted on the mass (m) and (e) the space traveled by applying the referred force.

Our analysis will consist of translating the how expression:

 E = mc^2 manifests the formula of WORK (T) that we have exposed.

We will see that E = mc^2 is the expression that expresses the origin and history of the atom.

But first we will present a theoretical approach that allows us to interpret our reasoning.

  1.1.- MEETING OF PHYSICAL CONTENTS - THEORY OF THE MEETING

In the development of this study we present our theory, which we have called "Theory of the Meeting", as follows:

The expression E = mc^2 should NOT be viewed as a Mathematical Formula but as a PHYSICAL EXPRESSION that encompasses different concepts. For this reason we will never use the wrong words of "Formula" or "Equation" but we will use the word "EXPRESSION". With this we want to avoid the doubt that if when writing: 

E = mc^2 we are interpreting it a product of two variables, that is: E = mc^2  . To avoid such an interpretation we consider that (E) is JOINED to the physical magnitudes: mass (m) and speed of light (c). Consequently, in symbolic form, we will write it as:

              E = Umc^2                     

We will define it as: the Expression of Energy equal to the REUNION of mass and speed of light. To confirm our claim, we will inspect an atom that contains this mass and identify it as the mass (m) we are testing.

 

1.2.- MANIFESTATIONS OF THE PHYSICAL QUANTITIES.

To get to identify what the expression shows us:

E = ∪mc ^ 2 and continuing with the Reunion Theory, we say the following:

We now deal with the issue of the information that a physical Expression gives us, due to the relationships between the physical quantities that make it up.

We will accept that physical magnitudes, such as force, acceleration ... we can detect their existence through MANIFESTATIONS that can be observed in the experimental field. Thus, for example, the acceleration (a) that a mass (m) acquires, will reveal the existence of a FORCE that causes it. Another aspect will be the assessment of its intensity, in which case we will apply the FORMULA:

F = m × a But, according to what we said, now we will focus on considering the MANIFESTATIONS of the expressions of physical quantities and we will avoid considering them as mathematical formulas that allow us to value them.

The approach of considering only the aforementioned MANIFESTATIONS allows us to encompass and connect within the same physical phenomenon different PHYSICAL MAGNITUDES. This will allow us to interpret the meaning of the "Expression": 

E = mc^2 It allows us to go back from current data to the origins that produced them.

 

2.- LOOKING FOR THE SYMPTOMS OF THE EXPLOSION

We said that in our study we started from the existence of an atom, which already existed in ancient times and we propose to relate the behavior of this atom in the present time, with what manifests the expression:

 E = mc^2

We will justify that the expression: E = Umc^2

(meeting of the Energy with the mass and the speed of light)

It states that the atom (corresponding to this mass) has the content of a force incorporated and this will lead us to have to admit that there was a cause that caused the appearance of this force.

We hypothesize that this cause was an explosion that drove the atoms out of a common center.

 

2.1.- THE ATOM HAS INCORPORATED THE CONTENT OF A FORCE

To justify that the aforementioned expression states that the atom has the content of a force incorporated, we proceed as follows:

We will use the Reunion Theory and write: E = ∪mc∪c With this expression we want to indicate that: Energy is

unites with the union of two events. On the one hand, there is the Meeting of the mass (m) with the speed of light. On the other hand, to this Meeting another is added, expressed as the speed (c) of light.

In this chapter we will dedicate ourselves to finding out the meaning of the expression 

E = Umc^2    that, as we will see, leads us to reveal the existence of a force.

In the previous issue we have exposed the way in which the ACTIONS carried out by the PHYSICAL MAGNITUDES are MANIFIED. With the hypothesis that there was a great explosion, the first Physical Magnitude that we will consider is FORCE. It is the first-born force that acted on the atom at the origin of its existence. This Physical Magnitude that we are considering, by acting CONTINUOUSLY on the particle, we know that it is MANIFESTED by the ACTION of printing an acceleration (a) on it. So we can "express" this ACTION as the following MEETING:

                                      F=Uma    

And, the acceleration (a) is “expressed” as: a = ∪ ∂v / ∂t being (v) the speed that the atom was acquiring due to the thrust of the force (F) and (t) the time used. On the other hand,

We know that using mathemat   terms we can consider the variation of that speed (v) due to the referred force, by means of the formula:

                                               

where (v) is the final speed to be reached when the time (t) elapses between the points: initial (i) and final (f). But ... we must bear in mind that the end point (f) is located in the place where (v) reaches the speed of light (c), since this is the limit value of speeds. Therefore, the acceleration between the initial point (i) and the final point (f), that is, the increase in speed between (0) and (c) will be worth:

                                        ∆v between (0) and (c) = (c)

Therefore, the referred first-born FORCE (F) that acted on the particle must be “expressed” as:

                                             F=Umc

Reasoning a path inverse of the one we have used, we can say that the aforementioned expression tells us the story that there was a FIRST FORCE due to that explosion, which expelled and pushed the atom we are analyzing.

 

3.- MANIFESTATION THROUGH THE EXPRESSION: E=mc^2

OF THE ENERGY CONTAINED IN THE ATOM

We must investigate the how through the expression: E=mc^2. the energy that the atom contains is manifested,

Obtained the “expression” of the FORCE (F) that intervened, we must find out how the expression E=Umc^2 shows the capacity that the analyzed atom can carry out a WORK (T). That is, as the aforementioned expression shows that the atom is in possession of supplying a Potential Energy (E). This is another conclusion to reach from the aforementioned expression.

We justify the possession of this energy because the atom in the instant in which its journey lasted was acquiring a Kinetic Energy that, by not consuming it, was accumulated as Potential energy (Ep). And this potential energy can be expressed as having "trapped" the ability to perform a Work (T)

 (NOTE: Remember the idea of ​​the movement of the atoms contained in matter)

We will propose the equivalence between this energy (Ep) and its ability to do work (T). That is to say:

                                                    (Ep) ~ (T)

Applying the topic that we exposed on: "The manifestation of the Physical Magnitudes" we will assimilate the content in Potential energy with the quality of carrying out a Work.

Applying physical concepts, to identify the Work (T) we will use the following MEETING of physical quantities:

                                               T=UFe

That is to say, the Work (T) that the aforementioned expression shows that the atom is capable of contributing, the stored atom has it and has it registered as the Reunions, the first-born force (F) of which we have spoken and (e) the space that ran through the crowd at the time the events occurred.

Recall that at the physical level that we move, we measure distances in Light Speed ​​Units (uvl) so that the aforementioned particle, pushed by force (F), came to move at the speed of light (c). And with this pattern, we measure the tours (e).

(NOTE: In our Blog you can consult the topic “Mathematical interpretation of the Lorentz Factor, where it talks about measuring distances in speed of light (uvl)

 

We value the space (e) in units of speed of light (uvl)

If (v) increases until it reaches speed (c) this is equivalent to having reached one unit (c)

So that

                                   (e) = (c)

and therefore, we can write:

                                   T=UFc

In order to show that the "expression" E=Umc^2 in its content contains the idea of ​​a POTENTIAL ENERGY, we propose the following reasoning:

As we have indicated: T∪Fc and as we have obtained: F = ∪mc

Is obtained:

                                   E ~ T = ∪ (mc) ∪c =  T U mc^2

what is the "expression" we were investigating

We can observe that the (E) is expressed as the Meeting of an Amount of Motion carried by the mass and the space (e) that has moved, which, when measured in units of light speed (uvl), is expressed with (c).

In summary, the expression: E=mc^2 placed in the "test tube", and treated as the "expression" of a grouping of physical variables, informs us of what happened to the atom in ancient times and what is able to perform

We leave their analysis and criticism for consideration for experts in Astrophysics and Atomic Physics.

THE EXPRESSION E = mc2 MANIFESTS THAT IN REMOTE TIMES A LARGE EXPLOSION OCCURRED.

Intellectual Property Registry: B-1221.21

PRESENTATION

In our book titled; "Theory of relativity. Criticism of a nonsense analyzed in seven installments ”, we are dedicated to criticizing the different fallacies that appear written in the Theory of Relativity. Now, we will dedicate ourselves to investigating some aspects of this Theory that may be somewhat confusing.

We have divided this essay into two parts. The first part is dedicated to exposing a mathematical path to obtain the expression: E = mc2. At the same time, we take the opportunity to criticize some procedures for obtaining this expression that resort to using concepts that are true fallacies.

The second part of this essay is dedicated to trying to justify the title of this essay.

That is to say: "The expression E = mc2 shows that in ancient times a great explosion occurred"

This topic was written by this same author and published in the scientific journal: “International of Fundamental Physical Science (IJFPS)”. We believe that reading the two parts that we are commenting on will help the reader to interpret the idea that we want to convey.

We will explain these two parts of the study in two successive installments.

FIRST STAGE At this stage we consider that the Kinetic Energy (Ec) that a particle possesses comes from or was caused by the performance of a primordial work (T) that occurred in remote times. We can establish the equivalence:

We identify the aforementioned work carried out as:

Being the force that acted on the mass during a certain path limited by the values: initial (i) and final (f), until its speed reached a constant value. The value of the speed of light (c). We can write the previous equivalence as: On the other hand, the magnitude of a force (F) can also be estimated using other physical units. We can assess it by intervening the acceleration (a) that it prints on the mass (m) on which it is constantly acting. I mean: F = m.a We also know that: where (dv) is the speed increase that is being reached in each differential (dt) of the time that is passing. So we can write: The expression of the Work done is expressed as:

We observe that the previous equation shows the variation of the “momentum” or “linear moment” (mxv). We can make the following change in the differential

And like: we can write:

SECOND STAGE

In the First Stage we have assumed that the physical process was accelerating. But this process has a limit. This limit is when the speed of the mass reaches the speed of light (c). So then the previous expression will be replaced by:

Since (c) and (m) are constant values, we can write

Returning to the first equivalence that we established with the Work, we write:

An additional comment is that this Energy can return the EARLY WORK that we cited at the beginning of this essay.

Has anyone found the idea of time dilation or the application of the Lorentz Factor to deduce the aforementioned Formula missing? ...

OBSERVATION

The primitive of the expression:

is (c).

We have used partial differentials that allow us to choose the direction or criterion of integration, at our convenience.

So we can choose the speed (v) or the momentum (m.v).

 

(It will continue in a second installment)

THEORY OF RELATIVITY.- MATHEMATICAL INTERPRETATION OF THE LORENTZ FACTOR

(Intellectual Property Registry B-1221-21)

PRESENTATION

In our book titled; "Theory of relativity. Criticism of a nonsense analyzed in seven installments ”, we are dedicated to criticizing the different fallacies that appear written in the Theory of Relativity. Now, we will dedicate ourselves to investigating some aspects of this Theory that may remain somewhat obscure. With this introduction we want to differentiate what was a criticism of some postulates, what is now about. It is a research work by the same author of the aforementioned criticism.

In one of the fascicles of the aforementioned book we quoted "the enigmatic Lorentz Factor", indicating with this expression his contribution to the fallacy of "time dilation" without relying on any logical criterion. Consider that, according to the story, these mathematical expressions were obtained empirically. Now we will do the "anatomy" to this Factor to investigate the mathematical function that it fulfills. In the end we will show that the Lorentz Transformation Formulas show that there is a ELONGATION of the viewing time of the Space and Time variables of a physical phenomenon, and we will discard the fallacy of TIME DILATION.

 

ONE OF THE APPEARANCES OF THE LORENTZ FACTOR

In the Theory of Relativity, one of its parts in which the Lorentz Factor intervenes is in the Transformation Formulas. Remember that the expression of this factor (f) is

where (c) is the speed of light and (v) the speed corresponding to a mobile.

We will dedicate ourselves to studying the function that this mathematical expression fulfills, but first we will comment something about the well-known Lorentz Transformation Formulas

To introduce ourselves to the subject of the formulas of Lorentz Transformations, we quote the following.

In the book “On the theory of special and general relativity” by A. Einstein, on page 32 (Edition “Alianza Editorial”), he describes the form and usefulness of the formulas called the Lorentz Transformations, as follows :

"Given the quantities (x, y, z, t) of an event with respect to (k), what are the values ​​(x`, y`, z´, t´) of the same event with respect to (k´)?”

The relations must be chosen in such a way that they satisfy the laws of propagation of light in a vacuum for one and the same ray of light (and also for any ray of light) with respect to (K) and (K´). "

And he goes on to say:                       

"The problem is solved by the equations"

Space Formula

Figure 1

 Time Formula

 Figure 2

And, on this same page of the aforementioned book, the following coordinate system (k) and (K´) is drawn

Figure 3

The variable (v) means the relative speed that the system (K´) has with respect to the system (K)

The explanation that appears in the aforementioned book, together with the previous drawing, helps little to understand the purpose and way of using the aforementioned formulas.

The designation of the coordinate axis (X) can be confused with the value of the variable (x) to be transformed. It uses three coordinate axes when, as we will see later, only two coordinate axes will be needed. Due to this difficulty of interpretation, we have chosen to create our own design to analyze the mathematical structure of the Formulas of the Lorentz Transformations

 

ANALYSIS OF THE VISION OF THE PHENOMENON OF THE TRANSFORMATION OF THE VARIABLES OF AN EVENT.

First, we present some definitions that we will use in our study.

We will call the physical phenomenon that we want to observe EVENT and we will represent it by (E)

We will use Cartesian coordinates (X, Y) to place the (E) in sidereal space. We must consider that we are dealing with RELATIVE MMOVEMENTS, so we must consider a Fixed Reference System (SRF) and a Mobile Reference System (SRM) regarding this (SRF)

We will call the duration or amplitude of the variables Space (e) and Time (t) corresponding to (E) EXTENSIONS.

We will call the magnitude of the Extensions Own Time and we will represent it with the variable (tp).

Regarding the vision of the physical phenomenon we say the following:

In the vision of the phenomenon of the transformation of the variables of an event, we will distinguish two parts.

FIRST PART

In the first part we will consider the TRANSFER of the coordinate axes and the result of this transfer that affects the figures of the variables Space (e) and Time (t) of the event.

In the following figure the observer VIEWS this transfer.

Figure 4

This observer can evaluate the new value (x´) that the variable (X) had before the transfer, according to the expression:

 

The magnitudes of Space (e) and Time (t) of a physical phenomenon (E) are recorded as its length in the coordinate: x. We say that it is your Extension (X).

This Extension is the one that is transformed (or crossed over) when moving the coordinates.

These variables (X) will be the values ​​of the Event Extension

Later we will see that these expressions of (X) will be identified as the Displacement Time

(td) of the coordinates, and that the Extensions will be identified with the Proper Time (tp) of this Event.

To carry out the evaluation of the result of the previous expression, it would be necessary:

Place the Event (E) in a certain position in sidereal space determined by the Cartesian coordinates (K).

Know the distance between the axes (K) and (K´) that would be calculated knowing the speed (v) and the time (t) of the transfer.

Observe the reader that the previous expression is the one that appears in the numerator of the Space Transformation Formula and, as we will see later, it also corresponds to the Time Transformation Formula.

 

SECOND PART

In the First Part we have considered that the coordinate axes are already located in their place of observation. The TRANSFER was already done and therefore it was a STATIC VISION. It is a photograph of an event.

We are now going to consider a DYNAMIC VISION. It is about wanting to observe the value of the Event Extensions (E) while the location axis of the (E) is moving. It is moving. (Bear in mind that we are dealing with RELATIVE MOVEMENTS).

This question enters fully into the study of the Lorentz Factor that, as we can see, appears in the denominator of the Transformation Formulas.

We will use new graphics to justify the approach of the DYNAMIC VISION of Own Time (tp) corresponding to the Extension of an Event (E)

 

 CONDITIONS OF SYNCHRONIZATION OF THE VISION OF THE EVENT IMAGE.-

We now begin the explanation of a topic that involves the denominator presented by the two Transformation Formulas. We will see that in it we will include the Lorentz Factor.

To analyze the simultaneous concepts of MOVEMENT and OBSERVATION, we draw the following figure. We will call it: operational scheme.

Figure 5

In a certain position in sidereal space, a physical phenomenon is located to which we want to quantify the magnitude of from your variable: "space". Let us remember that: we will identify the physical phenomenon as an EVENT (E). The magnitude of (x) we will call its EXTENSION. In this operating diagram, we will identify the Extension as the Proper Time (tp) of (E) and we will represent it on the (Y) axis of the drawing. We value the magnitude of the Extension as (c.tp), where (c) is the speed of light and we represent it in zic-zac as if it were a ray.

The aim is to observe the Extension of (E) from the point (F) represented in the diagram.  A fixed observer, located at the origin of the coordinate axes (X, Y), could observe the entire amplitude (c.tp) of the Extension space (e) or time (t) of the Event (E)

For this to happen from another point in sidereal space, it will be necessary for the DISPLACEMENT time (td) that the observer will have taken to get to that point, be equal to the travel time (tr) of the IMAGE of the Extension. Namely:

                           (td) = (tr)

so that the observer is not delayed or ahead of the arrival of the information at the observation point.

We will call this equality "First Synchronization Condition". This Travel Time (tr) as well as the (tp) we have drawn in Zic-zac for traveling at the speed of light (c).

 

(NOTE: In the case of two Inertial Reference Systems (SRI) we could also refer to the differential calculus. We would argue that the Mobile Reference System moves in such a way that a travel time differential δtd corresponds to a travel time differential δtr of the electromagnetic wave)

A second synchronization condition is that the time elapsed during the displacement (td) is equal to the Extension (tp) of the Event. Namely:

                            (td) = (tp)

so that the observer can contemplate from the point of observation, the entire Extension.

 

(NOTE: We can justify the elongated shape of figure 5, corresponding to a right triangle, as follows:

      If (tp) = (td) and as c >> v => c. (Tp)> v. (Td)

which makes us think that if the right triangle were equilateral, the speed (v) should be equal to (c) and it would be another topic of analysis)

    

THE LORENTZ FACTOR.- A MATHEMATICAL EXPRESSION THAT APPEARS IN TRANSFORMATION FORMULAS

We will study how we can RELATE the Proper Time (tp) of the Extensions, with the Displacement Time (td) to the observation point. For this we will observe Figure 5 and proceed to develop the calculations, applying the Pythagorean Theorem

Demanding compliance with the First Synchronization Condition                                

                               (t_d)  = (t_r)  

allows us to make the substitution of (tr) for (td) with what we obtain:

Grouping terms we have:                                                                           

We can transform the denominator as follows:

Eliminating (c), results in

To the expression

it is known as Lorentz factor.

It allows us to relate the Proper Time (tp) of the Event with the Displacement Time (td) of the observer. Put together the concepts we had talked about: Position and Movement.

 

THE LORENZ FACTOR AS A UNIT OF MEASUREMENT OF THE OWN TIME OF THE VARIABLES SPACE (e) AND TIME (t)

To deduce how we can quantify the Proper Time (tp), corresponding to the IMAGE of the Extension of a variable (x) due to the MOVEMENT, from the Displacement Time (td) that the coordinates (K ') have traveled, we do the following reasoning:

We start the equivalence relation that we had found:

From here we can deduce another equivalence relation with the Lorentz Factor:

The quotient: td / tp we can say that it is a way to quantify the (td) in units (tp)

Therefore, the Lorentz Factor is a transforming or correcting factor, which transforms the Displacement Time (td) into units of Own Time (tp). Therefore, applying this factor to (td) we obtain:

In this way we have justified the existence of the Lorentz Factor in the aforementioned formulas.

Note that in the FIRST PART we had given the expression: x´ = X-v × t in which we justified that we could consider it as a Displacement Timep (td).

 We have yet to clarify one issue.

Now we are talking about a displacement time (td). How can we apply the Lorentz Factor in the Space Form, as the denominator of the expression:

X-v × t so that he can value us the (tp)?

To clarify this concept we will say that until now we have been talking about TRAVELS of the coordinates (K´), and this is what the previous expression shows, but now we enter into evaluating DISTANCES.

In this new approach to assessing Distances, we use the speed of light. As we will see below, these distances will be valued in units of the speed of light (u.v.l.)

This expression represents a travel time valued in these units.

We believe that the time has come to talk about the expression:

 

that appears in the numerator of the Formula of Time.

 

SPEED CORRECTIVE FACTOR.- DISPLACEMENT TIME MEASUREMENT (td).

In the perception of the image of an event between two Inertial Reference Systems with a velocity (v) between them, we must bear in mind that we are using two completely different types of velocities in terms of nature and orders of magnitude. They are two different Physical Magnitudes. We can say that the relative speed (v) between the (MRS) and the (FRS) is between masses while the information transmission speed corresponds to an electromagnetic wave with a speed of light (c) well above or above the least very different from the velocity (v). It is obvious that, although these are two expressions that are related to "speed", they are different. They do not have the same physical nature. They should be treated as different. The speed of light (c) is always the same. It is inherent in itself. It is a constant and with an order of magnitude infinitely greater than what is supposed to be on the (X) axis. That is (v). We cannot compare or establish a relationship between two lengths or two times that are measured using different patterns of measuring speeds. They should be normalized so that they both use the same type of pattern.

We use the speed of light (c) as a standard. That is, the 300,000 kms / sec. as a unit of speed

To make the aforementioned conversions we must take into account the following criteria to follow:

All lengths will be quantified using: "light speed units" (uvl).

This means that: the (uvl) are those that would be consumed to move between two certain reference points. For example, we can write: x = k (uvl) referring to where a certain length (x) is found, or it would require k (uvl) to reach it. (The "light unit" is a measure of speed that is worth: 300,000 km / sec. That is, one (uvl) is equal to 300,000 km / sec.)

A relationship such as: (v / c) assigns a fraction of (uvl) to a certain speed (v), since (c) is a fixed quantity that is taken as a unit, while (v) is the relative speed between Los (SRI), different value in each specific case.

To quantify a length (l) we will apply the expression:

                               l = x. (v / c)

This expression answers the question: A length (x) that has been traveled at the speed (v) to what length (l) is it equivalent if the speed were that of light (c)?

To obtain the displacement time (td) of a Mobile Reference System (SRM) on the axis (X), operating with (uvl), we must divide the space (l) by the speed of light (c).

I mean:

         (td) = (l) / (c) and since l = x. (v / c)

  we get: (td) = (l) / (c) = (x). (v / c) / (c) =

 Expression that appears in the numerator of the Formulla of the Transformation of Time and that it is the expression of a time.

 

CONSTANCE OF THE RELATIONSHIP BETWEEN EL (td) AND EL (tp). TALES THEOREM

To facilitate the interpretation of what we are going to present we present the following figure

Figure 6

The drawing represents a certain position, in sidereal space, of the coordinates (K´) after having traveled a certain space valued as (td).

In this situation of the coordinates (K´) we can apply, for example, the Space Formula to visualize the Extension of an Event (E) located in the coordinates (K).

We ask ourselves now:

If the coordinates (K´) continue to move, will the application of the Formula be valid for all the different situations that it can reach?

The logical answer seems to be yes. However, we cannot give this answer without endowing it with a certain scientific rigor.

To justify it we say the following:

We intend to show that the quotient: c = td / tp must be a constant value (K) for any value of (td).

If we show that: td / tp = K for any point on the path (td), then we can admit

                          tp = td / k

for all points along the coordinate path.

We carry out the proof using Thales' Theorem, the fulfillment of which we illustrate with the following figure.

Figure 7

As agreed, in the vertical leg we will represent the extension (tp) of the Event. This extension has a certain value for a certain physical phenomenon to be observed. Placing the observation point at a certain distance, when determining the value of the relationship:

td / tp, the same value is obtained: 1.70 whether you start counting the displacement time (td) from the origin of coordinates, or if you start counting the displacement from any point (P) intermediate between the origin and the end of the route. In the case of the drawing, this point is 9.5 from the observation point.

It is evident that this condition of preserving the values: td / tp is general. For a specific phenomenon, it is valid for its constant value (tp) and possible variable values of (td).

 

ANALOGY OF THE TRANSFORMATIONS OF LORENTZ WITH THE MENTAL EXPERIMENT OF THE TRAIN CAR

In this chapter we will remember what we explained in our book: “Theory of Relativity. - Criticism of a nonsense analyzed in seven  fascicles ”, regarding the “ Mental Experiment of the Train Car ”. The purpose of this reminder is to establish an analogy between this experiment and the Transformation Formulas that we have studied, and from here draw the conclusion that we are facing a LENGTHENING OF THE VISION OF A FACT OR CAUSE. It is not a DILATION OF TIME.

Let us remember that in the aforementioned book we question the conclusions of this experiment and label it as the "genesis of nonsense." We said that these were two different and simultaneous experiments. This makes us realize that we have obtained a RELATIONSHIP between two physical quantities from two different phenomena.

We transfer the drawing of that thought experiment:

Figure 8

In the left part of the drawing the phenomenon of the reflection of the light beam in a mirror that is located on the roof of the wagon is represented. The train car is stopped and the round trip time of the reflection in the mirror recorded by the observer (O1) is really the Proper Time (tp) of the physical phenomenon.

Another observer (O2) situated still on the embankment would take a longer time (td) than the one observing (O1) due to the fact that in the phenomenon of light reflection it also contemplates the displacement of the mirror.

It is clear that these are two different trials.

In the explanation of the Transformation Formulas we have mentioned the Proper Time (tp) of the Extension of the Event, which we can associate with the (tp) of the phenomenon of the reflection of the light ray. This interpretation is exposed in the left part of Figure 8. Let us remember that the (tp) is inherent to the phenomenon. In the case of the train car, it corresponds to the phenomenon of the reflection of light in the mirror. In the case of Formulas, it corresponds to the assessment of the VISION phenomenon of the Extension variable of an Event, observed at a given moment. This is the photograph of the phenomenon. But it must also be taken into account that the observation is made from a Mobile Reference System (SRM).

The following figure attempts to demonstrate our claim

Figure 9

The Proper Time (tp) of the physical phenomenon of the reflection of the ray of light in the mirror is represented in the left part of the drawing. With the wagon stopped.

In the right part of the drawing an observer appears outside the car. He is fixed on the ground and observing the path of the light beam while the wanderer is moving for a Displacement Time (td). It is evident that different observation values of the phenomenon will be appreciated. It will be obtained (td)> (tp). This is the interpretation that we must give to the aforementioned Formula when considering the observation from a Moivil Reference System (SRM).

 

THE FORMULAS INDICATE US THAT IT IS ABOUT: A LENGTHENING OF THE VISION OF THE EXTENSIONS. IT IS NOT A TIME DILATION

Using the example of the train car thought experiment, we will justify the EXTENSION of the VISION of the Extensions of an Event.

Let's see what the Formulas ask us to get answers:

Let us remember that we incorporate the Lorentz Factor into the formulas when we contemplate a DYNAMIC VISION of the phenomenon to be observed.

In the first place we were talking about a STATIC VISION, which is what happened when the references changed due to the displacement of the coordinates. It is equivalent to Own Time

(tp) of the process, which records the operator who goes inside the train station.

Another experiment is the DYNAMIC VISION that we consider that the observer contemplates the movement of the experiment. It does not move with it. It has come out of it. In this circumstance, your VISION measurement of the Event Extension duration will be longer since you are adding the time it takes for the process to travel to the point where the end of the observation is considered. We can see the analogy that we are establishing with the observer who is fixed on the ground in the example of the thought experiment of the train car.

This increase in observation time is reflected in the formula by incorporating the Lorentz Factor.

First, let's note that:

Recall that the expression of the numerator of the Space Formula is: (X-v × t). Therefore, the complete expression of the formula:

indicates that that initial value has been increased and this is due to considering the displacement movement that it is being produced.