The Role of Centrifugal Force and the Origin of Centripetal Force

1. How the Centrifugal Force Arises and Its Role in RTIP

✔️ The centrifugal force arises only in non-inertial reference systems, being an apparent (reactive) force that tends to "expel" the mass outward. ✔️ Its formula is:

2. Origin and Function of the Centripetal Force

✔️ The centripetal force is the real force that forces the mass to follow a circular trajectory. Its formula is:

3. The Relationship Between Centrifugal and Centripetal Forces

4. The Centrifugal Force as Energy Reimbursement – The Key to Extraction in RTIP

5. Separation of Tangential Force into Linear and Circular Components

✅ One of the greatest obstacles to fully understanding rotating systems like RTIP is the classical assumption that the tangential force is a unitary force, derived solely from the acceleration of mass along a circular trajectory. ✅ RTIP analysis demonstrates the full separability of the tangential force into two components:

1. Linear Component: Defined by direct analogy with uniformly accelerated rectilinear motion. Its formula is:

Here, the acceleration is directed tangentially to the orbit, and the mechanical work produced is comparable to that in a linear system.

2. Coupling Component with the Centripetal Force: It results from the interaction of the centripetal force, which acts perpendicular to the tangential trajectory. It is expressed as an indirect energy transfer in the form of a geometric constraint on the natural rectilinear trajectory of the mass. It brings internal structural tension without producing direct mechanical work in the inertial system, but in the non-inertial system, it actively contributes to energy release.

✅ Therefore, the tangential force is a compound effect, the result of superimposing a free linear motion and the circular constraint of the trajectory. This is especially important in RTIP, where each component can be analyzed separately and energetically valorized independently.

6. Correcting the Concept of Centripetal Force in Non-Inertial Systems

✅ Classical physics states that the centripetal force does not produce mechanical work because it is perpendicular to instantaneous displacement. This statement is valid ONLY in perfectly inertial systems, where the mass has no radial motion.

✅ In non-inertial systems like RTIP, during a radial transition phase (expansion or compression), the centripetal force:

1. Becomes a direct participant in energy transfer: Because the mass moves radially while being subjected to a circular constraint. This leads to real, calculable mechanical work:

2. Is responsible for the internal structural tension of the system: This is the “state energy” that tensions matter. It can be converted into usable energy if the system is designed to allow radial displacement.

3. Acts in real opposition to the centrifugal force, not fictitious: The temporary imbalance between them creates the energy extraction channel in RTIP.

✅ Therefore, the statement that centripetal force does not produce mechanical work is incomplete and erroneous in the case of rotating systems with radial variation.

⚡ These observations destroy the myth of fictitious forces and ground the new physics proposed by RTIP: — the physics of inertia duality, — tension-to-energy conversion, — and the valorization of radial displacement as a real source of mechanical work.