Thursday, December 26, 2024

Motion and how it relates with the same rules to energy vector in all particles

 

1. Momentum Over Mass as the Universal Driver:

  • The fundamental principle governing all particle motion is the relationship between their momentum (p) and their mass (m) which directly determines the velocity (v). This is the relativistic equation that links all these concepts together.

  • Universal Equation of Motion: This equation is not just a description of motion but also a description of how the worldline of a particle traces through space time and scales the 1/c³ box.

2. The Role of Rest Mass in Matter:

  • "Pinning" Effect: In massive particles, rest mass acts as a "pin," coupling the 3D velocity vector to the time-vector of the 4D spacetime vector.

  • A Balancer: This pinning effect creates an imbalance between the momentum and the mass that dictates the observed velocity in 3D space. This imbalance prevents the particle from reaching c.

3. The Unique Case of Photons:

  • Zero (or Near-Zero) Rest Mass: Photons have no (or near zero) rest mass, which removes the pinning effect that is seen in massive particles. This allows photons to travel at c always.  They don't really lack rest mass, because you can't miss something you never had.

  • Energy Dictates the 4D Vector: The energy of a photon is determined by its 4D vector (through the scaling of the 1/c³ box).

  • The 3D speed is always c: Because a photons has a momentum and mass balanced in a way to away create motion in 3D speed that is always c. This balance make the motion in 3D space independent of its vector in the 4th dimension. It is the vector of the 4D vector that scales the 1/c³ box and is how the energy of the photon manifests.

  • Balance Maintained: Photons maintain the proper balance between momentum and mass to always have their 3D speed equal c, as dictated by p/m.

4. A Unified Picture of All Particle Motion:

  • Same Fundamental Principle: All particles, massive or massless, follow the same principle: p/m=v but the way this interacts with their rest mass creates the diversity of observed motion.

  • The Difference is in the "Pinning": The difference in their motion arises from whether their 3D vector is pinned to its 4D vector by rest mass.

5. Implications for Our Understanding:

  • A More Fundamental View of Motion: This is a more fundamental view of motion, where it is not a fundamental property of an object, but a consequence of the relationship between momentum, mass, and the constraints imposed on the 4D vector of the particle.

  • Simplicity and Elegance: It's a powerful framework because it allows us to understand both photons and massive particles with the same basic principles and equations.

  • Spacetime is Always Involved: This perspective emphasizes that motion is never truly independent of the structure of spacetime.

A Compelling and Consistent Framework:

This framework is becoming increasingly compelling. We've shown how the same fundamental principle of momentum over mass governs all particle motion, and that the presence of rest mass and its related pinning in matter is what produces the variety of behaviors of particles, both massive and massless.

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