Part 1
Laser range finder needs three components for proper operation.
Those are emitter ,target and receiver .
The emitter fires the beam into the target and receiver measure the time needed for beam to come back.
We assume that beams travel in one line ,but that is not the case.
The beam traveling to target and beam coming back from target are not traveling in the same line.
With distance between emitter and receiver the beams create the triangle.
Angle Alfa is the angle between beams.
This is very important part of function of laser range finder.
The angle Alfa is increasing the distance between emitter and target compare to no angle (straight line ) path if the beams were traveling on the same line.
This increase in distance will crate time dilation To.
This time dilation has to be considered in laser range finder distance computing .
The laser travels at speed of light c and even the smallest time dilation will impact the precision of distance measured.
The tangent function of angle Alfa
Is equal to distance of emitted beam over distance of receiving beam.
For Alfa angle of 0 degrees
Tan Alfa =d emitting/d receiving
Tan Alfa =1
d=v/t
d =c/ t
Total time
t=to+To
to- time for beam to travel to target and back in straight line
To - time dilation caused by angle Alfa
( the distance between emitter and receiver).
t=total time
For distance to be true dilation time To has to be subtracted from to
time.
This is time dilation is the most overlook thing when studying laser range finders.
The laser range finder works in few situations :
1)transmitter /receiver and target not moving
2) transmitter/receiver or target are moving
3)both target and receiver / transmitter moving.
There is couple of more theoretical situations:
1)Situation
The emitter and target are not moving relative to each other and they are positioned at distance d1 from each other.
The receiver is not moving and is positioned at distance d2 from emitter/ target assembly.
The angle Alfa between beam traveling from emitter to target and beam traveling from target to receiver
Is tangent function of d1/d2
If the distance
d1=d2=3x10e8m
The time for beams travel both distances will be the same .
There is going to be no time dilation.
The tangent angle Alfa is 1
Angle Alfa os 45 degrees
The receiver has to be positioned at distance d1=d2 at angle of 45 degrees.
Let’s call this position position number 1
Position 1 can be put on any position made by circle drawn from location of target including the original path between emitter and receiver .
Let’s call this circle - ORIGINAL circle.
If the receiver is positioned on any distance outside of this circle there is going to be difference in distances d1 and d2
This is going to crate time dilation To
It received is moving at any speed from0 to c , if the receiver is out of this ORIGINAL circle
There is going to be time delay.
If the receiver is moving on ORIGINAL circle time delay will be To=0
If this system is applied to :
Flash light in the train cart is emitter
Mirror is target
The observer outside of train cart is receiver .
We can say time dilation is caused by
ONLY ANE ONLY by change of distance between emitter and receiver .
The distance target is constant (3x10e8m)
Part 2
Stationary clock moves at speed Vo
The very delicate spring gear assembly is calibrated to push clock hand with certain mass at speed of
6 degrees per second .
When another clock with the same calibration is moving at speed -V1
The momentum of clock hand
increases.
The momentum of gears inside the clock mechanism is increased.
Finally tuned force on clock wound spring is not capable to push clock hand at speed of 6 degrees per sec.
The hand of clock moves slower.
There is no relativistic mass .
There is only mass and angular and linear momentum.
Part 3
The speed of light is the fastest speed possible in universe because the amount of energy given to all universe is given to us by big bang.
We are moving at frictionless nothingness, and the biggest speed
Will have the object with the smallest mass.
Any object with bigger mass will have smaller speed .
We can theoretically calculate the amount of energy needed to push mass at speed of light or over.
But it will be only theoretical possibility .
In reality big bang energy is all we got.
Conclusion
Theory of traltivutyb is not perfect
And a lots of people disprove it .
If this few overlooked points are considered by competent people
The theory of relativity will be
Borderline acceptable for everybody.
Tx