Spacetime Conversion and Distance of Time Travel: Research on the Application of Life’s Flash in Spacetime Physics

Abstract

The reason why spacetime conversion occurs is that the displacement change of an object at time t₁ only occurs in t₁ spacetime, and its displacement change at time t₂ only occurs in t₂ spacetime, etc. The motion path of an object is a polyline, and the shortest distance between the ends of the polyline is the distance of time travel. Because the polyline passes through n (a large number) dimensions, its distance of time travel is surprisingly short, giving us a more concrete understanding of time travel.

Keywords:Spacetime conversion, Time travel, Distance of time travel, Flash, Polyline, Material world, Dimension

Introduction

When we walk on the beach, the lost time is like our footprints left behind. May I ask, when we look back at those footprints, where are our past selves? Now we use the observer’s flash to time and answer this question. “Thinking or feeling is composed of one flash in series with another. Using a movie as an analogy, successive scenes are played in rapid succession from frame to frame … Simply put, flash is a sudden thought, as fast and short as lightning.” [1] Leibniz said, “Thousands of facts lead us to believe that there are an infinite number of continuous perceptions within us” [2]. Assuming that a light source emits a beam of parallel light (light L), an observer (life Y) starts timing. The time of No.1 flash is recorded as time t₁ , the time of No.2 flash is recorded as time t₂ , etc (Figure 1).

Figure 1:Diagram of the relationship between flash and time.

The spatial region perceived by life Y at time t_x , i.e., the material world m(t_x ) of life Y at time t_x , is referred to as t_x spacetime of life Y (abbreviated as t_x spacetime) in this article. At time t_x , light L exists in t_x spacetime; when light L appears in t _x+1 spacetime, we refer to this spatiotemporal change as spacetime conversion. This article starts with the motion path of light to study the law of spacetime conversion, and we hope to provide new method for the study of spacetime physics.

The First Spacetime Conversion

Assume that life Y observes the entire process of light L traveling, that is:

a) The light source emits light L at A₀ .
b) At the end of time t₁ , light L reaches location A₁ .
c) At the end of time t₂ , light L reaches location A₂ , etc.

In t₁ spacetime, light L travels from (A₀ +α ) to A₁ , where α represents infinitesimal. The distance from (A₀ +α ) to A₁ is denoted as A₀ A₁ . The phenomenon of light L traveling in t₁ spacetime is denoted as Lt₁ . In t₂ spacetime, light L travels from 1 (A₁ +α ) to A₂ , and the distance from (A₁ +α ) to A₂ is denoted as A₁ A₂ . The phenomenon of light L traveling in t₂ spacetime is denoted as Lt₂ . Although life Y sees A₀ , A₁ and A₂ as shown in Figure 2, the path taken by light L in t₂ spacetime is only Lt₂ (Figure 2).

Figure 2:A common diagram illustrating the path taken by light L.

In t₂ spacetime, light L does not actually pass through Lt₁ (Figure 2). If Lt₁ appears in t₂ spacetime, life Y will simultaneously see the following two phenomena:

a) Light L travels from A₁ to A₂ .
b) Light L travels from A₀ to A₁ .

The simultaneous appearance of light L in two locations is obviously not in line with the facts. If Lt₁ is not perpendicular to t₂ spacetime, then the vertical projection of Lt₁ in t₂ spacetime is not zero, and the component of L₁ in t₂ spacetime is denoted as projt₂ (Lt₁) . In this way, life Y can simultaneously observe Lt₂ and projt₂ (Lt₁) in t₂ spacetime, which means that light L appears in two locations at the same time. This is obviously not true. In short, Lt₁ is perpendicular to t₂ spacetime. When light L appears in t₂ spacetime, the first spacetime conversion occurs. Because Lt₂ is located in t₂ spacetime, we further obtain Lt₁ ⊥ Lt₂ . And Lt₁ ⊥ Lt₂ can be represented by Figure 3, where “a” represents the distance traveled by light L in one flash of time (Figure 3).

Assume that A_0-2 represents the actual distance traveled by light L from the start of timing to the end of time t₂ .

A_0-2 = A₀ A₁ + A₁ A₂ = 2a .

Assume that Lt₀,t₂ represents the length of the dashed line connecting A₀ and A₂ in Figure 3. Its physical meaning is the distance of time travel, which will be described in detail below.

Figure 3:The actual path taken by light L at the end of time t₂ .

The Second Spacetime Conversion

The phenomenon of light L traveling in t₃ spacetime is denoted as Lt₃ . If Lt₂ and Lt₁ appear in t₃ spacetime, life Y will simultaneously see the following three phenomena:

a) Light L travels from A₂ to A₃ .
b) Light L travels from A₁ to A₂ .
c) Light L travels from A₀ to A₁ .

The simultaneous appearance of light L in three locations is obviously not in line with the facts. If Lt₂ and Lt₁ are not perpendicular to t₃ spacetime, then their vertical projections in t₃ spacetime are not zero, and their components in 3 t spacetime are denoted as projt₃ (Lt₂ ) and t₃ t₁ proj (L ) , respectively. Life Y can simultaneously observe Lt₃ , projt₃ (Lt₂ ) , and projt₃ (Lt₁) in t₃ spacetime, which means that light L appears in three locations at the same time. This is obviously not true. In short, Lt₂ and Lt₁ are perpendicular to t₃ spacetime. When light L appears in t₃ spacetime, the second spacetime conversion occurs. Because Lt₃ is located in t₃ spacetime, we further obtain Lt₂ ⊥ L₃ and Lt₁ ⊥ Lt₃ . If Lt₁ ⊥ Lt₂ , Lt₁⊥ Lt₃ and Lt₂ ⊥ Lt₃ hold simultaneously, we use Lt₁ ⊥ Lt₂ ⊥ Lt₃ to represent their relationship. Lt₁ ⊥ Lt₂ ⊥ Lt₃ can be shown by Figure 4, which depicts a three-dimensional image on a plane, so the shape becomes abstract, but the algebraic relationship is correct (Figure 4).

Figure 4:The actual path taken by light L at the end of time t₃.

Assume that A_0-3 represents the actual distance traveled by light L from the start of timing to the end of time t₃ .

A_0-3= A₀ A₁+ A₁ A₂+ A₂ A₃= 3a.

Assume that Lt₀,t₃ represents the length of the dashed line connecting A₀ and A₃ .

so

At the end of time t_n , light L reaches A_n , as shown in Figure 5. Similarly, when light L appears in n t spacetime, spacetime conversions have occurred (n-1) times, and Lt₁ ⊥ Lt₂ ⊥...⊥ L_t(n-1) ⊥ Lt_n holds (Figure 5).

Figure 5:The actual path taken by light L at the end of time t₂ .

Assume that A_0-n represents the actual distance traveled by light L from the start of timing to the end of time t_n .

A_0-n = A₀ A₁ + A₁ A₂ +...+ A_n-1 A_n = n ⋅a . (1)

Assume that L_t0,_tn represents the length of the dashed line connecting A₀ and A_n in Figure 5.

The motion path A₀ A₁→A₁ A₂→....→ A_n-1 A_n is a polyline, and the shortest distance between the ends of the polyline is the distance of time travel L_t0,_tn .

Distance of Time Travel

At time t_x , we denote life Y as Y_x ; at time t _x+1 , life Y is denoted as Y _x+1 . At time t _x+1 , if life Y _x+1 perceives the spatial region of a being’s t _x+k spacetime ( k ≠ 1), then we refer to this spatiotemporal change as time travel. Suppose that there is a star whose beam of light (light F) traveled 25 light-years to reach the earth. The distance traveled by a light in one second is 3.0 ×10⁸ m [3]. “In generally, the number of one’s flashes in 1 second is 3.2 ×10¹⁴ .” [1] Therefore, the length of the path taken by light F in each flash time is

The length of the path taken by light F in 25 years is

A_0-n= 25×365.25×24×60×60×3.0×10⁸=2.52×10²³.a,

so n = 2.52 ×10²³ . The distance of time travel between the beginning and end positions of light F in 25 years is

Similarly, Ft₁ ⊥ Ft₂ ⊥...⊥ F_t(n-1) ⊥ Ft_n , where Ft₁ denotes the phenom enon of light F traveling in t₁ spacetime; Ft₂ denotes the phenomenon of light F traveling in t₂ spacetime, etc. Consequently, light F enters our field of view after passing through n dimensions. Spacetime conversions results in L_t0,_tn being so short. The motion path of light is like this, what is the motion path of an ordinary object like?

Suppose that life Y continuously observes a stationary object (beach W) for 25 years. However, beach W is relatively stationary, as the speed of the solar system in the rotation of the Milky Way is about 220 km/s [4]. Then we assume that the speed of beach W in the Milky Way is 220 km/s. The phenomenon of beach W moving in t₁ spacetime is denoted as Wt₁ ; the phenomenon of beach W moving in t₂ spacetime is denoted as Wt₂ , etc. If Wt₁ is not perpendicular to t₂ spacetime, then the vertical projection of Wt₁ in t₂ spacetime will not be zero, and the component of Wt₁ in t₂ spacetime is denoted as projt₂ (Wt₁) . Life Y can simultaneously observe Wt₂ and projt₂ (Wt₁) in t₂ spacetime, which means that beach W appears in two locations at the same time. This is obviously not true. In short, Wt₁ is perpendicular to t₂ spacetime. When beach W appears in t₂ spacetime, the first spacetime conversion occurs. Similarly, Wt₂ and Wt₁ are perpendicular to t₃ spacetime. When beach W appears in t₃ spacetime, the second spacetime conversion occurs. Finally, the (n-1)th spacetime conversion occurs, and equations (1), (2), and (3) still hold. Assume that a_w denotes the distance traveled by beach W in a flash time, then

The distance of time travel is surprisingly short. World-Quantum Theory and Time Travel: A Study on the Role of Life in the Composition of the Universe “demonstrates that a person can travel back to the past by focusing on reminiscing and travel forth to the future with single-minded visualization” [5]. Therefore, it is believed that personal time travel will become a mature and controllable technology. We can further boldly make the following prediction: One day, human consciousness will be connected to the spacecraft, like a complete life. Then this spacecraft jumps freely between different spaces-times.

Conclusion

This article quantizes spacetime and derives the law of spacetime conversion. The law of spacetime conversion consists of three parts:

Firstly, time is quantized. Time t₁ corresponds to No.1 flash, and time t₂ corresponds to No.2 flash, etc. This is reasonable because series of flashes form the timeline.

Secondly, spacetime is quantized. m(t₁ ) , m(t₂ ) , etc., are worldclass macroscopic quanta [3], which means that t₁ spacetime, t₂ spacetime, etc., are world-class macroscopic quanta. Now we can answer the question at the beginning of this article: When we walk on the beach and look back at the footprints behind us, our past selves exist in the spacetimes of the past.

Thirdly, the motion path of an object is a polyline. Some people may ask: Before life Y sees light F, does light F undergo spacetime conversions? Like Schrodinger’s cat, if life Y does not observe light F, it means that light F does not manifest in life Y’s world. So light F is chaotic in life Y’s world, and its motion path is also chaotic. When life Y observes light F, light F and its path collapse from the chaotic state, and thus they manifest themselves. If Ft₁ is not perpendicular to t₂ spacetime, then the vertical projection of Ft₁ in t₂ spacetime is not zero, and the component of Ft₁ in t₂ spacetime is denoted as projt₂ (Ft₁) . In this way, light F appears in two locations at the same time in t₂ spacetime. This is obviously not true. In short, Ft₁ is perpendicular to t₂ spacetime. When light F appears in t₂ spacetime, the first spacetime conversion occurs. Similarly, the (n-1)th spacetime conversion also occurs. Doing it in this way is reasonable because the displacement change of an object at time t₁ only occurs in t₁ spacetime; its displacement change at time t₂ only occurs in t₂ spacetime, etc. The analysis of light L, beach W and light F can lead to the following conclusion: the motion path of an object is a polyline that follows the quantization of time and the quantization of spacetime.

The law of spacetime conversion not only reveals the essence of spacetime conversion, but also provides a new perspective for humans to understand the structure of the universe. Time is no longer the carriage moving forward at a constant speed, but rather one flash after another of the observer. This idea reveals distance of time travel, giving us a more concrete understanding of time travel.

Acknowledgment

None.

Conflict of Interest

None.

References

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