Speed of Light — A Geometric Draft Proof
The speed of light, denoted as 𝑐 with an accepted value of 299,792,458 m/s. There is no geometric proof for its specific value because it is fundamentally a physical constant determined through empirical measurement and experimentation. Unlike geometric constructs, which typically involve dimensionless quantities, the speed of light has dimensions of length divided by time and is intricately tied to the framework of special relativity and Maxwell’s equations of electromagnetism. Special relativity postulates that the speed of light in a vacuum is constant and independent of the observer’s motion, a foundational aspect of the theory rather than a derivable geometric consequence. Furthermore, the speed of light, like other fundamental constants, arises from deeper principles and interactions at the quantum level, transcending classical geometric interpretations. Consequently, while geometry can model and describe physical phenomena, the specific value of the speed of light is rooted in the empirical laws of physics and the intrinsic structure of our universe.
Can we find a geometric proof? Lets take a closer look.
At the bottom of this post there are some links to previous posts about what I call the Bubble Core. For the purpose of this post we are going to focus on the first level and what I define as Quadrian constants.
These constants has some extremely interesting properties. The first is defined as the Quadrian Ratio.
This is pretty basic but there are some truly fascinating facts about this construction as we start to look closer. For starters, The Quadrian Ratio q has direct a relationship to the Golden Ratio.
So the triangle produces by these angles has a perimeter of the Golden Ratio squared. If we look at these angles in relation to a circle with a slight shift we find that when shifting the origin of a circle these angles will bisect any sized circle into perfect quadrants.
What could this possibly have to do with the speed of light? Lets use this construction to perform a mathematical experiment to see what else we can observe.
A particle moves along a closed path at a constant speed while its orientation changes at the same constant speed. In one test, it travels from point A to point E, then changes direction by 126.88°. In another test, it travels from point A to point N, then also changes direction by 126.88°. This means it takes time to move between points and to rotate its orientation for the next segment of the path. When you run this test, even though both particles travel the same distance in length, they arrive back at point A at different times.
This difference in time and rotation is a direct consequence of the initial path choice. One path requires more time to reorient than the other despite traveling the exact same distance. The shortest possible path in time.
We find the value of q1 and q2 seem to be related to this. In fact it would seem we can easily calculate a number that is remarkably close to the accepted value for the Speed of Light using Quadrian constants. What’s more we find there are two speeds.
This to me is stunning. The characteristics of the Quadrian constants, their angles and their relationship to the Golden Ratio as well as any and all possible sizes of a circle or square are remarkable enough. The fact that the speed of light seemingly just falls out of these numbers is incredible to me. The curiosity of a second possible speed and the possible implications require more research and tests. Real world tests, not just mathematic models.
The mystery goes even deeper.
My next post I will follow this up with what could be some significant insights into the origin of mass. I will explain what I have defined as the Bubble Mass Equation which builds on this model even further.
Again don’t take my word for it. Try it yourself. For now if you want more information about how this was all derived you can refer to my following past posts on this particular model.