LATENT EMERGENT FORCE

(Tensorial latent restoring force) (Inertial restoring force)

❓ Question:

What is this calling force and how does it arise? Let’s call it: “Directional restoring force”, or “inertial calling force”. It pulls back — it does not resist, and it’s not equivalent to the tangential force.

🔍 Analysis across classical mechanics, universal (gravitational-cosmic) mechanics, and quantum mechanics.

I. WHAT IS THIS FORCE?

General definition: It is a latent directional restoring force, born at the moment when a body in rectilinear motion is deviated by a perpendicular force and enters a curved trajectory. It is not an externally applied force — it is an emergent property of mass and space.

Origin: It arises from the difference between the initial trajectory and the real one. It is a tension between:

• the original inertial vector (linear)

• and the resulting tangential vector (curved)

This difference is not just geometric — it is vectorial and energetic.

II. EXPLANATION THROUGH THE 3 MECHANICS

1. CLASSICAL MECHANICS (Newtonian)

Newton's First Law: any body tends to preserve its uniform rectilinear motion. When the body is deviated, a discontinuity in direction appears. This discontinuity generates a restorative tension — in classical terms, the inertia of the lost direction.

In classical physics, this effect is not treated explicitly, but it exists as a real tendency, and can be described as an inertial restoring force.

2. UNIVERSAL / COSMIC MECHANICS (relativistic and gravitational)

In general relativity, a free trajectory (geodesic) in a curved spacetime field is "natural". If the body is forced to follow a different path than the geodesic, a tension arises in the structure of the trajectory.

This tension can be described through the covariant derivative of the position vector.

In tensor language: this deviation creates an equivalent force in spacetime that “demands” return to the natural trajectory.

🧲 So: The calling force appears as a reaction of space to the unnatural curvature imposed by an external force.

3. QUANTUM MECHANICS

Here we go deeper. Every particle has a wavefunction associated with its motion. This function contains phase, direction, linear momentum, and energy.

When the particle’s path is curved, the symmetry of the wavefunction is disturbed. A phase-restoring force appears — a kind of pressure from the quantum field, trying to restore the minimum action shape.

This phase retains the initial energetic path of the mass, and its gradient expresses an internal tension aiming to return to the direction of minimum action.

Thus, the calling force emerges as a natural response to the phase disturbance — a deep tendency of the system to restore lost directional coherence.

III. TENSORIAL FORM (for full expression)

We can introduce a trajectory deviation tensor. If , it means the mass is “pushed” by a non-natural trajectory.

Then, a latent tensorial restoring force arises: It acts internally, silently, toward reconnection with the original linear direction.

🧠 FINAL CONCLUSION (maximum depth)

This calling force is a directional latent tension in the deviated mass, arising from the symmetry of matter’s natural motion through space.

It is not a reaction force, not fictitious, not classically expressed — but it is real, structurally active, and present in all levels of physics: classical, universal, and quantum.