The correct way to think of the principle of invariance of the speed of light, according to CATBIRD. (Principle of constancy of light velocity.)

Introduction

　Light speed is not constant. On the ring laser gyroscope device, the speed of light is set at (C−Vcosθ) kilometer/second. Then, under a Lorentz transformation time conversion equation it is altered to t'=t/√(1−V²/C²). This corresponds with the lag time of GPS Satellite.

Main text

　If I were to move at high speed, just what would happen? By most definitions, only the speed of motion of the other objects is altered. The course of time and the long dimension of space are not thought to change. But, this is thought upon this way from the experience of moving at slow speed.

　Light speed, at 299,792.5 km/second (Hereafter referred to as C km/second) is considered to be the limit of velocity for everything. If you come close to this velocity, the course of time lags and space extends in the direction of movement. However, the speed of light is considered to not change at C km/second. Therefore, in a manner that corresponds with light, even measuring the velocity while moving at high speed, and/or measuring the velocity while moving parallel to light, light can only be measured at C km/per consistently.

　However, since this is contrary to common sense it can be very difficult to comprehend. On this page, I will address the ways in which time and space changes. Additionally, proof will be presented that in reality the speed of light is not constant. At the same time, reasons will be given as to why it must be assumed that light speed is not constant and shall be calculated by means of physics.

Lorentz transformation

　In order to simplify the explanation, imagine it as a flat surface. The light coordinate is P(x,y,z)=(Ct*cos θ, Ct*sinθ,0). By plugging x= Ct*cos θ into the Lorentz transformation equation, the following trigonometric function is representable.
t'=t(C−V*cos θ)/{C√(1−V²/C²)}
x’=(x−Vｔ)/√（1−V²/C²）
y’= y
z’= z
C’= C

　However, the clock located inside the GPS satellite that moves at Vkm/second ticks 1/ √（1−V²/C²）for every 1 second. This fact suggests that the conversion equation for time is t'=t/ √(1−V²/C²). Light generated after transformations’ distance progressed is, √(x’²+y’²+z’²)= t(C−V*cosθ)/√(1−V²/C²). As The speed of light and time together can be C’t’. Hence, C’t’= t(C−V*cosθ)/√(1−V²/C²). As long as t'=t/ √（1−V²/C²), C’=(C−V*cosθ) must be so. It can be supposed, therefore, that light above ground is observed at (C−V*cosθ) km/second.

　The following is an example that proves this. Ring laser gyroscope devices are used on automatic operation of rockets. On these devices, the relative velocity of light is set at (C−V*cosθ) km/second.

CATBIRD conversion

　Therefore, the correct conversion equation is as follows.
t'=t/ √（1−V²/C²）
x’=(x−Vｔ)/√（1−V²/C²）
y’= y
z’= z
C’=C−V*cosθ (Or substitute cosθwith x/Ct) C’=(C−Vx/Ct)

　This has been given the name CATBIRD conversion (2012/8/17 PM 17:19). Only in situations in which space is changed in this manner, Bradley formula that portrays aberration sinβ=(V/C)sinα is realized.
　Thus, CATBIRD conversion, time・space・light speed all combined, is consistent with actual observations of transformations.

the first conversion

　The first cause of CATBIRD conversion is, matter travelling at V km/sec, which compared to when static can only travel √(1−V²/C²). It is∠OPQ=90. Matter at V km/second travels OP. Even when attempted, this matter cannot be moved toward y-axis from P to Q’ at C km/sec. Then the velocity of matter becomes (C²+V²) km/sec, because it exceeds the speed of light. The limit for the velocity of matter OQ is C km/sec. In view of this, PQ will not exceed (C²−V²)=C√(1−V²/C²) km/second. Velocity is inversely proportional to the mass of matter.　Thus, by traveling at V km/second, matter acts as if mass increased to 1/√(1−V²/C²).
　
　Matter ticks time, as a result of the changes occurring by the bonding and detaching of the particles that comprise it. Thus, if the mass increases and the particles become difficult to move, the time required to bond and detach becomes 1/√(1−V²/C²)times.　Therefore, when matter travels at V km/second, its behavior progresses slowly, and marks 1/√(1−V²/C²)second for 1 second.

　For example, if I was to travel at high speed, I will grow older while moving and thinking slowly.　Also, when I see someone at rest, it appears that the person is growing old while moving and thinking fast. To me, it appears as if time for the person at rest is progressing quickly. However, the passage of time itself is unchanged. What has changed is the reaction rate of my matter. Now, I am able to properly explain that for matter, each passage of time is dependent on speed of matter.

　Next, I will describe the changes in space. For every 1 second of the V inertia reference frame 1/√(1−V²/C²)per second, Light travels through space at C/√(1−V²/C²) km/second. Therefore, observers in the V inertia reference frame, define C/√(1−V²/C²)km as C km. As a result, time, space, and speed of light, transforms in the following manner.
t’=t/√（1−V²/C²）
x’=x/√（1−V²/C²）
y’=y/√（1−V²/C²）
z’=z/√（1−V²/C²）
C’=C　
This is called the first conversion.

the second conversion

　Next, I will describe the second cause.
　For a Inertia reference frame that travels at V km, the speed of light is √(C²+V²−2CV*cosθ)km/second. This is guided by the second cosine theorem (PQ²=OP²+OQ²−2OP*OQ*cosθ).
　The space of the traveled direction has changed for the amount of Vt km that the matter traveled. There is no change in the vertical and horizontal direction (longitudinal direction). There is also no change in time. Therefore, the conversion equation is as follows.
t’=t
x’=x−Vt
y’=y
z’=z
C’=√(C²+V²−2CV*cosθ)
　This is called the second conversion.

the third conversion

　I will describe the third reason. As a result, matter that is in motion at V km/second contracts longitudinally √(1−V²/C²) and laterally (1−V²/C²). The inner working of this is described below.

　 　Particles that make up matter do not contact one another. Inter-particle attraction and repulsion functions maintain a balanced constant distance. Attraction and repulsion includes 4 forces; electromagnetic force, gravitational force, strong force, and weak force. These 4 forces, occurs from gauge particles traveling at light speed between two matters.

　 　If 2 matters travel at V km/second, the round trip distance of gauge particles extends 1/√(1−V²/C²) longitudinally, and 1/(1−V²/C²) laterally. However, attraction and repulsion is balanced when the gauge particles round trip distance is the same as the distance while static. Therefore, the distance between particles contracts √(1−V²/C²) longitudinally, and (1−V²/C²) laterally. The entire globe in motion, contracts in this manner. Thus, gauge particles round trip distance between two matters is the same as when static in all directions. This contraction of matter is called the CATBIRD Contraction.

　I will describe how time and space change when matter undergoes CATBIRD Contraction.

　Simulate a mirror of a sphere with a radius C km. This mirror, at its plane surface is represented �@X²+Y²=C². While static, light that left from 0 the center of the sphere, it will take 2 second for it to reflect on the mirror and return to 0. The travel distance of light is 2 C km.

　Now, we will consider a situation in which this mirror is traveling at V km/second. The center of the mirror 0 will travel from P to Q. If S is the position where light reflects, the route in which light passes is PSQ. If the mirror of the sphere goes through a CATBIRD Contraction, it becomes PSQ=2C km. This is because, for all directions, the distance for a round trip of light is the same as when static. Therefore, if you tie point S it becomes a �AX²/C²+Y²/(C²−V²)=1 ellipse. It can be understood by the formula, that the length of the line that ties the 2 focal points PQ of the ellipsoidal and the arbitrary point S on the ellipse is consistently 2C.

　
　Therefore, in the V inertial reference frame, a ellipse in which light discharged in all directions will return in 2 seconds �AX²/C²+Y²/(C²−V²)=1 is defined as a circle �@X²+Y²=C². Ellipse �A shape is, circle �@ contracted √(1−V²/C²) longitudinally. Thus, in the V inertial reference frame space contracts √(1−V²/C²) longitudinally.

　Then, what will become of time? As previously stated, the 4 forces occur by 2 matters exchanging gauge particle moving at light speed. Since matter goes under a CATBIRD Contraction, the time required for the 4 forces to round trip between matters is the same when static. Therefore, the speed in which matter changes does not vary, and time doesn’t change. The Speed of light √(C²+V²−2CV*cosθ), converts to (C−V*cosθ) km/second as space contracts √(1−V²/C²) longitudinally.

　When summarized, the conversion equation is as follows.
t’=t
x’=x
y’=y√(1−V²/C²)
z’=z√(1−V²/C²)
C’=(C−V*cosθ)/√(C²+V²−2CV*cosθ)
　This is called the third conversion.

　The result of combining the first, second, and third conversion together, is the following CATBIRD Conversion
t'=t/ √（1−V²/C²）
x’=(x−Vｔ)/√（1−V²/C²）
y’= y
z’= z
C’=C−V*cosθ

static system

　The above explanation is based on the premise that static system exists. According to the special theory of relativity, it is considered that light and matter is all particles. It is explained that particles are moving in space that nothing exists. Then, we do not know which particles are static. If we consider this particle to be static, then that particle is moving. In contrast, if that particle is considered to be static, then it can only be said that this particle is static. All inertial reference frames can be considered to be equally static and in motion. The speed of light is cannot be changed just by changing the thought of how a inertial reference frame is static or in motion. Therefore, it is important that light is observed to be C km/second in all inertial reference frames. For this purpose, the special theory of relativity, on the premise of the constancy of the speed of light (C’=C), is guiding the Lorentz transformation

　However, light and matter is the vibrancy of superstring. Superstring that is in motion as matter appears as matter. Superstring not in motion appears as a vacuum. Light and matter propagate as waves above the super string. The entirety of the superstring not in motion is static system.

　Thus, by using this standard for static system, moving velocity of various static systems can be specified. Therefore, even if the speed of light becomes different due to static system, it is improved. In that case, CATBIRD conversion will be guided naturally.

the request of the principle of the constancy of the speed of light

　Electromagnetic force is inversely proportional to the square of the distance of electromagnetic wave exchanged between matters. In view of this, it can be thought that for a inertia reference frame that is mobile, the strength of the formed electronic magnetic force weakens by (1−V²/C²) longitudinally and (1−V²/C²)² laterally. However, permittivity and permeability of a vacuum is the constant number in the Maxwell equation that sets up the strength of the electromagnetic force. These two decide the speed of the electromagnetic waves. Thus, in an inertia reference frame that is mobile, the speed of the electromagnetic wave does not change. With this equation, even if the strength of the electromagnetic force in a mobile inertia reference frame is calculated, it does not differ from when static. In addition, even in a inertia reference frame that is actually mobile, the strength of the generated electromagnetic force does not change. This leads to the「principle of the constancy of the speed of light」.

　However, just because the relative velocity of the electromagnetic wave is invariant, does not mean the strength of generated electromagnetic force is invariant. The strength of the generated electromagnetic force invariable as a result of when matter undergoes a CATBIRD contraction, the round trip distance for the electromagnetic wave is the same as when static.

　Still, even if you calculate the change in the speed of electromagnetic wave and the distance between matters every time, attempts to obtain the strength of formed electromagnetic force will be in vain. Since the calculated result is the same, under the presumption that the speed of electromagnetic wave and distance between matters is invariant, even in a mobile inertia reference frame, it is reasonable to use the Maxwell equation without change. This is「the request of the principle of the constancy of the speed of light」.

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