Emergent Radial Energy in Dual Regime (RTIP)

Introduction: Paradigm Shift In the classical model, radial energy is interpreted as the result of a variable force (centrifugal), applied over a radial distance, mechanically integrated, without a profound explanation of the real origin of this force or the internal behavior of mass in rotation.

By contrast, RTIP introduces a completely different approach: radial energy is not a simple functional variation, but an emergent form of mechanical work, generated by the interaction between tangential inertia and radial inertia, under the action of the stress-tension tensor. In this context, a dual regime arises, transitioning from an inertial system to a non-inertial one.

Definition of Emergent Radial Energy (RTIP) Emergent radial energy appears only when the system enters a conversion regime, namely:

1. The centripetal force progressively decreases (e.g., via electromagnetic braking);

2. The centrifugal force becomes active, appearing in the opposite direction of tangential acceleration;

3. The stress-tension tensor is activated, and the radial component becomes dominant;

4. The mass is internally stressed in the radial direction, and radial energy arises as a result of the activation of radial inertia, NOT by conversion from tangential energy.

It is extremely important to emphasize: radial energy in RTIP does not come from a transfer of tangential rotational energy. Tangential and radial motion are two distinct dynamic systems, with completely separate forces and energies:

• The tangential force is generated by linear acceleration in the tangent plane.

• The centripetal force is an external constraint that forces the body to follow a circular path.

• The centrifugal force, opposite to the centripetal, is the direct result of the inertia of mass in radial motion and acts perfectly perpendicular to tangential velocity.

A clarifying example: A body attached to a string on a rotating disc. The rotational motion does not “curve” the string, but tensions it radially. This tension is clear evidence of the appearance of a centrifugal force, independent of any tangential velocity component.

Thus, radial energy is not a derivative product of rotational energy, but a distinct form of energy activated through internal tension and inertial reaction, when the internal forces of mass interact with an external constraint.

Formula of Emergent Radial Energy (RTIP):

This formula expresses:

• An average of the centrifugal forces at the initial and final moment;

• Applied over the actual radial displacement;

• Generating energy not merely from force variation, but from tensorial conversion in a dual regime system, in which the mass reacts inertially in the radial direction, and not through loss or redistribution of tangential energy.

Conclusion: Radial energy in RTIP is not an extension of classical physics, but a new form of mechanical work, which appears only when the system undergoes a dual conversion regime. This energy is the unique signature of RTIP, being linked to the internal redistribution of mass under the influence of stress generated by accelerated rotation, in which the stress-tension tensor becomes energetically active.

It is a form of energy not present in classical systems. It marks the transition from a passive inertial rotation system to one that exploits the dynamics of internal tension to produce recoverable energy.