Snow Globe Theorie (Google - Translation) | |
| S1: Snow Globe Law: | |
| Change in length scale x change in time scale = 1 | |
| The change in scale can be understood as: (Scale + Change)/Scale*. This relationship also applies in similarity theory, simulation, or cartoons. It can be called the general law of relativity or snow globe law (SGL)**. | |
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Suppose I live in a snow globe,*** everything would be much smaller than in the rest of the world.
I ride my bicycle. As always, my forward speed is five body lengths per second.
Since the wheel diameter is smaller, I will cycle accordingly slower.
If light takes longer to travel from A to B because the distance is smaller,
I don't even notice that I'm in a snow globe.
From the outside, however, the speed of light (c) in the snow globe appears smaller,
and the light is deflected like a lens. Speed is distance per time. With reduced lengths and stretched time, one sees reduced speeds and a redshift of light from the outside. The change in spacetime affects all things, not just light.**** An acceleration occurs: "gravity", Mass attraction is not required for this. When I ride my bike against a wall, I decelerate beforehand. The wall seems to attract me, and I feel a forward force. In reality, it is only inertia. S2: The role of the reciprocal: If you want to know how an object behaves locally from a distant point of view, you have to reverse the change in scale in the calculation. The observed scale is then multiplied by the reciprocal of the change. Using the reciprocal has a double effect. For the observer scale, you get the behavior at the local scale. This is because all local scales are the same, including the observer's. The snow globe law is invariant in this calculation. Example: The shortened length of a motion, using the Lorentz transformation (t=0), yields the correct local length of the moving system. The Lorentz boost is therefore the multiplicative inverse of the shortening. The reciprocal of the time dilation yields the proper time. S3: Snow Globe Principle: Local scales are the same everywhere. This means there is no ether. The only fixed local properties of spacetime points are the fundamental constants. S3 and the constant c (speed of light) implies (⇒) S1: With a shorter or longer length scale, light would take less or more time than one second to travel 300 million meters without a change in time scale. * or: new scale/old scale; a scale cannot, of course, be negative. ** Why do we fill snow globes with liquid? SGL is applied intuitively here. *** This hypothetical snow globe would actually have infinite gravity at its limit. **** Why does light have different speeds at the same time? Each speed can be viewed differently. If I'm driving at 80 km/h and someone overtakes me at 100, from my perspective they're only traveling at 20 km/h. From a stationary observer's perspective, they're traveling at 100 km/h. Light behaves slightly differently. Locally, the same numerical value of the vacuum speed of light always applies everywhere. Note: These three theorems sufficiently define relativity. A space or spacetime curvature is not necessary for this. However, they provide a model with a continuous path of transformation with S2. With S1 and T=M*G/c² (and with a maximum length scale), the gravitational time dilation 1+T/R results in the "snow globe potential" 1/(1+T/R)². Ludwig Resch |