Subtitle: Mass is not a separate substance added to the universe. As Scale Relativity suggests, it is a dynamic constraint—a specific type of stable path that emerges when spacetime tames its own fractal roughness.
Einstein’s Dream: The Path is the Object
General Relativity taught us that Gravity is the curvature of spacetime. But Scale Relativity takes this further: Spacetime is the only masterpiece. What we call "particles" or "mass" are simply specific behaviors of spacetime paths.
The difference between "Mass" and "Path" dissolves. Mass is not a static rock sitting on the road; Mass is a measure of the constraint applied to the path. It describes how tightly the geometry is bound to itself.
1. Large Mass: The Constraint of Stability
Why do macroscopic objects follow smooth, predictable lines? It is because they represent a high degree of geometric constraint.
We can hypothesize that for large masses, a mechanism similar to the Quantum Switch is at work. The geometry forces the "Forward Time" flows (dt+) and "Backward Time" flows (dt-) to interact so intensely that they lock together.
This interaction creates a Destructive Interference of the fractal fluctuations.
The path becomes "heavy" not because it has weight, but because it has stability.
For a large mass, the path is rigidly constrained. The "Quantum Switch" is flipped to a mode where the causal loops stabilize the trajectory, making it resist the chaotic jitter of the vacuum.
2. The Electron: Surfing the Fractal
As we look at the Electron, the constraint weakens. The geometric stability is not absolute.
Here, the "Mass" is small, which means the "grip" on the path is loose. The geometry cannot fully suppress the fractal nature of spacetime.
The "roughness" breaks through. The electron acts like a surfer on a rough sea.
It cannot follow a straight line; it is forced to ride the fractal waves.
The electron's mass is simply the finite resistance of the path to this roughness. It is trapped enough to stay localized (in an orbit), but free enough to exhibit interference. It is a path that is partially constrained, constantly negotiating between the order of the causal loop and the chaos of the fractal dimension.
3. The Photon: Pure Unbound Geometry
Finally, we arrive at the limit: Zero Mass.
If Mass is a constraint on the path, the Photon is the absence of constraint. The "Quantum Switch" is open; there is no interference to lock the path down.
Infinite Roughness: Without the constraint of mass, the diffusion coefficient becomes infinite.
Pure Geometry: The photon is not an object traveling through geometry; it is the geometry propagating at the speed limit of causality.
Because it has no mass to define a "proper time," it cannot distinguish between the forward and backward flows. It becomes indistinguishable from the fractal vacuum itself—pure, delocalized movement.
The Takeaway: The River and the Whirlpool
We can visualize this unified view of Spacetime and Mass using the analogy of a turbulent river.
The River is the flow of spacetime itself. It has a main direction (the arrow of time), but it is filled with chaotic, fractal currents.
The Photon is a ripple moving with the current. It has no structure of its own; it is just the motion of the water.
The Mass (Electron/Planet) is a Whirlpool.
A whirlpool is made of nothing but water (spacetime). It is not a separate object. However, it has stability. It has a constraint. Even though the main river flows one way, the whirlpool creates a localized structure that allows for internal, backward rotation (dt-).
Mass is simply a stable, self-sustaining knot in the flow of spacetime. It is the "silence" and stability that persists even as the chaotic river of time rushes by.
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