**Reinterpreting Gravitational Acceleration in Quantum Admittance Theory**

**Abstract**

This paper introduces a novel interpretation of gravity through the Quantum Admittance (QA) Theory. By exploring the energy-mass equivalence in Einstein’s famous equation, E=mc2, and incorporating electromagnetic field properties, we propose a new model of gravitational acceleration. This model interprets changes in gravitational mass and the speed of light as functions of energy density and spatial distance. Drawing on insights from the Pound-Rebka experiment, we demonstrate that gravitational acceleration can be redefined as the acceleration of energy in space. Our formulation replaces the conventional dependence on mass with variations in the electromagnetic field, offering a fresh perspective on gravitational dynamics.

**Introduction**

The current understanding of gravity is grounded in general relativity, where gravitational force is attributed to the curvature of spacetime caused by mass. However, recent advancements in quantum theory and electromagnetic field dynamics invite a reevaluation of these principles. Quantum Admittance (QA) Theory proposes that energy, rather than mass, governs gravitational acceleration. This paper builds on the energy-mass equivalence of E=mc2, suggesting that changes in the speed of light squared (c^{2}) are directly tied to changes in mass and spatial distance.

We explore the implications of electromagnetic field properties—specifically permittivity and permeability—on gravitational fields and present a mathematical framework that reinterprets gravitational acceleration as a function of energy transitions in space.

**Mathematics**

In QA theory, gravity arises from small variations in the speed of energy (c) as it propagates through space. These variations are influenced by the impedance and viscosity of space, both of which are determined by the electromagnetic properties of the vacuum, represented by μ0 and ε_{0}.

**Rate of Change Perspective: **Gravitational acceleration can be described by the rate of change in the speed of energy with respect to distance, encapsulated by the Quantum Admittance Gravitational Acceleration Vector:

**G _{v} = – d_{c}/ d_{x}**

Where:

**G _{v}** represents the rate of gravitational acceleration,

**d _{c}** represents the change in speed of energy,

**d _{x}** represents the change in distance.

This equation emphasizes how gravitational acceleration emerges from the spatial gradient of energy speed, showing a dynamic interaction over distance.

**Instantaneous Difference Perspective:** As a complementary view, gravitational acceleration can also be understood through the instantaneous difference between the speed of energy in open space (cmax) and the local speed of energy (cl):

**G _{a} = 1/(c_{max}−c_{l})**

Where:

**G _{a}** represents the rate of gravitational acceleration,

**c _{max}** is the speed of energy in open space,

**c _{l}** is the local speed of energy, which varies depending on the gravitational potential in that region.

This expression captures the gravitational acceleration as an immediate consequence of the difference in energy speeds, providing a snapshot of the gravitational effect at a specific point in space.

**Equivalence and Veracity**

These two equations, though derived from different perspectives, describe the same gravitational acceleration. The consistency between the rate of change in energy speed over distance and the instantaneous difference in energy speeds reinforces the validity of the Quantum Admittance framework. Together, they provide a comprehensive understanding of gravity, demonstrating how it can be understood both as a continuous process and an instantaneous effect within the same theoretical structure.

**Clarifying the Acceleration:** To relate this to gravitational phenomena, we can express the gravitational constant (G_{v}) in terms of these energy dynamics. If we denote the gravitational acceleration by G_{v}= – d_{x}/d_{√(ε0μ0)} where gravity is defined as distance with respect to the change in the speed of energy. This can be reduced to G_{v}=d_{c}/d_{x}. This formulation implies that gravitational effects can be directly linked to variations in the propagation speed of energy within the context of Charge Admittance.

**Explanation of the Transition:** To connect the change in the speed of energy with gravitational acceleration, consider that: The change in the speed of energy (d_{c}) over a distance (d_{x}) reflects an acceleration. In classical mechanics, acceleration is defined as the change in velocity over time. Here, dc serves as a proxy for velocity changes in the energy flow, with d_{x} corresponding to either time or a spatial dimension (or both).

**Verification of Correctness:** In traditional physics, c^{2} is a significant term in both energy-mass equivalence and electromagnetism. Here, G_{v}^{2} could be interpreted as relating to changes in the energy propagation squared: G_{v}^{2}= – (d_{c}/d_{x})^{2}, However, simplifying to: G_{v}= – d_{x}/d_{c} aligns with the interpretation of gravitational acceleration as a first-order derivative of the energy speed with respect to distance, making it consistent with classical mechanics and the principles of Admittance.

**Discussion:**** **

The QA model opens new possibilities for understanding gravity, suggesting that gravitational fields can be derived from electromagnetic properties of space. This offers a fresh approach to gravitational phenomena, such as black holes, dark matter, and cosmic acceleration. By interpreting gravity as an acceleration of energy, we move beyond mass-based interpretations and provide a framework for further exploration into the quantum dynamics of spacetime.

**Conclusion:**

Quantum Admittance Theory redefines gravity by focusing on energy’s behavior within the electromagnetic field. Gravitational acceleration, traditionally tied to mass, can now be viewed as the result of energy transitions in space. The reformulation presented here aligns with experimental evidence such as the Pound-Rebka experiment, offering a new perspective on gravitational dynamics. Future work will focus on expanding this framework to address other cosmological phenomena and integrating it with quantum field theory.

**References:**

Einstein, A. (1905). “Does the Inertia of a Body Depend Upon Its Energy Content?” Annalen der Physik.

Maxwell, J.C. (1865). “A Dynamical Theory of the Electromagnetic Field.” Philosophical Transactions of the Royal Society of London.