J. Rogers, SE Ohio, 05 Feb 2025, 1913
Abstract:
This paper proposes a radical reinterpretation of fundamental physics, arguing that mass, frequency, and curved spacetime are not distinct entities but fundamentally different manifestations of the same underlying reality. By re-examining the Gravitational Constant (G) and Newton's Law of Universal Gravitation, we demonstrate that G can be conceptually decomposed into a "default force" and a geometric scaling factor, revealing its true nature as a unit of gravitational force strength. Furthermore, by exploring a system of "naturally aligned" units and introducing a fundamental mass-frequency constant (Q_m = h/c²), we unveil a profound mass-frequency equivalence, suggesting that mass is fundamentally a form of concentrated frequency. This framework naturally unifies quantum momentum and gravitational force through a common frequency-based structure, hinting at a deeper, more harmonious description of gravity and quantum mechanics that transcends the limitations of current unit-dependent abstractions and numerological coincidences. The implications of this frequency-centric view for understanding the Planck scale, the nature of fundamental constants, and the search for a truly unified theory are discussed, suggesting a potential paradigm shift in our understanding of the universe.
1. Introduction
The quest for a unified theory of physics remains one of the most compelling and challenging endeavors in modern science. For centuries, physicists have sought to reconcile seemingly disparate phenomena, from the celestial mechanics of Newton to the quantum realm of Planck. A central obstacle in this quest is the apparent incompatibility between gravity, described by Einstein's General Relativity as curved spacetime, and quantum mechanics, which governs the behavior of matter and energy at the smallest scales. Fundamental constants like the Gravitational Constant (G), Planck's constant (h), and the speed of light (c) are often treated as independent pillars of nature, their numerical values determined empirically and their interrelationships, if any, remaining largely mysterious.
This paper challenges this conventional view. We propose that mass, frequency, and curved spacetime are not fundamentally distinct entities, but rather different perspectives on a single, more fundamental reality. By critically re-examining the Gravitational Constant (G) through Newton's Law of Universal Gravitation, and by shifting our perspective to a frequency-centric viewpoint, we aim to unveil a hidden unity and a more elegant description of gravity and its relationship to quantum mechanics. We will demonstrate that G can be conceptually decomposed into a "default force" and a geometric scaling factor, revealing its true nature as a unit of gravitational force strength. Furthermore, through the introduction of a mass-frequency constant (Q_m = h/c²) and the exploration of "naturally aligned" units, we will unveil a profound mass-frequency equivalence, suggesting that mass itself is fundamentally a form of concentrated frequency. This framework naturally unifies quantum momentum and gravitational force through a common frequency-based structure, hinting at a deeper, more harmonious description of gravity and quantum mechanics beyond current unit-dependent abstractions. Ultimately, we argue for a paradigm shift towards a frequency-centric understanding of the universe, where mass, gravity, and spacetime curvature emerge as different facets of a single, oscillating reality.
2. Re-examining the Gravitational Constant G: Beyond a Simple Scaling Factor to a "Default Force"
Newton's Law of Universal Gravitation, F = G * m1 * m2 / r², is a cornerstone of classical physics. Conventionally, the Gravitational Constant G is interpreted as a constant of proportionality, a numerical factor needed to make the equation dimensionally consistent and empirically accurate. However, this interpretation obscures a deeper, more physical understanding of G. We propose that G is more fundamentally understood as a "default force" – a fundamental unit of gravitational force strength that emerges in a normalized scenario.
Consider the refined formulation of Newton's Law:
**F = G* m1 * m2 / ( r²) **
Here, we explicitly separate the geometric factor from the default force formula times a dimensionless ratio. This ratio is made dimensionless by extra units added to the default force formula represented by G.
When the ratio m1m2 / r² is numerically equal to 1 (in appropriate units), Newton's Law simplifies to:
F = G
In this specific scenario, the gravitational force is numerically equal to the Gravitational Constant G. Thus, G, in this context, can be seen as the magnitude of the gravitational force in a normalized configuration of masses and distance. It represents the "default" or base unit of gravitational force strength, from which all other gravitational forces are scaled.
Conceptually, we can decompose G into two components:
Conceptual "Default Force" Component ( This represents the intrinsic strength of gravity, the fundamental unit of gravitational force. It is the magnitude of the force when the mass-distance ratio is normalized.
Conceptual "Unit Conversion & Geometric Scaling" Component ( This component, implicitly incorporated into the units of G and explicitly represented by the 1/r² term, handles the unit conversion necessary for dimensional consistency and accounts for the geometric dilution of gravity due to spherical spreading.
This decomposition highlights that G is not merely a numerical scaling factor, but a constant with a rich physical interpretation, embodying both the fundamental strength of gravity and the geometric nature of its propagation.
3. Unveiling Mass-Frequency Equivalence through
To further explore the fundamental nature of gravity, we introduce the mass-frequency constant Q_m, defined as:
Q_m = h / c²
where 'h' is Planck's constant and 'c' is the speed of light. This seemingly simple constant reveals a profound and often overlooked equivalence between mass and frequency. The relation m = Q_m * f demonstrates that mass can be directly expressed in terms of frequency, with Q_m acting as the constant of proportionality.
This is not just a mathematical conversion; it suggests a deep physical equivalence. Mass, traditionally viewed as a measure of inertia or quantity of matter, can also be understood as a form of concentrated frequency or oscillation. Frequency, typically associated with waves and energy, becomes another way of quantifying mass-energy itself. This equivalence has been obscured by our conventional units and our tendency to treat mass and frequency as distinct physical concepts. However, Q_m unveils this underlying unity, demonstrating that frequency is fundamentally just another way of looking at mass, and vice versa. This direct relationship is hidden by how we define the kg.
When we look at h defined as h = Q_m * c², we can see that h works by maping the frequency to a mass and then scaling it to energy by multiplying by c². This is not a trick or a derivation. Q_m has less units than h, meaning it is a more fundamental unit. h has units of mass, length and time, meaning it is a composite of a unit for mass and time (Q_m kg s ) , and a unit for length per second (c m/s). Q_m is a factor of h, same as c^2 is a factor of h.
This means that mass = Q_m * frequency and frequency = mass / Q_m.
4. Unifying Quantum Momentum and Gravity Force: A Frequency-Based Framework
Building upon the mass-frequency equivalence revealed by Q_m, we can now demonstrate a remarkable unification between quantum momentum and gravitational force.
Consider the quantum momentum formula p =hf/c, expressed in terms of frequency using Q_m:
p = Q_m * f * c
This equation expresses momentum (p) as being directly proportional to frequency (f), with Q_m * c acting as the constant of proportionality. It reveals momentum as a frequency-scaled quantity in the quantum realm.
Now, consider Newton's Law of Universal Gravitation, in our refined form:
F = G * m1 * m2 / r²
And recall our interpretation of G as a "default force," which we can express in terms of Q_m, speed of light, and a "default frequency" (f_d) as:
f_d = G/(h/c) = 3.0197458782252705415071346458624e+31 Hz
G = Q_m * f_d * c
Substituting this expression for G into Newton's Law, we get:
F = (Q_m * f_d * c) * (m1 * m2 / r² )
If we focus on the core structure of these two equations, we observe a striking similarity:
Quantum Momentum: p = (Q_m * c) * f ("value = constant × frequency")
Gravity Force: F = (Q_m * c * f_d) * (m1 * m2 / r² ) ("value = constant × frequency × dimensionless ratio")
Both equations share the fundamental building block: "Q_m * frequency * c". In the case of momentum, the "frequency" is simply 'f', and the result is momentum 'p'. In the case of gravity force, the "frequency" is the "default frequency" f_d, and this core term is then scaled by the dimensionless ratio m1m2 / r² to account for the specific masses and distance involved in the gravitational interaction.
This unification suggests that quantum momentum and gravitational force, seemingly disparate concepts from different domains of physics, are actually different manifestations of the same underlying frequency-based reality. Frequency, scaled by Q_m and 'c', becomes the common currency that links quantum mechanics, relativity, and gravity.
5. Numerical Harmonies and Naturally Aligned Units
What this means is that frequency, mass, and wavelength are all already unified to curved space time but the different unit scalings for mass, frequency, and wavelength disguise this unity. Q_m is the definition of the kg and c is the definition for the meter, and they are 43 orders of magnitude different, and this huge difference of these scales that hide the direct 1:1 mapping between mass, frequency and wavelength.
6. Frequency as the Foundation of Reality: Towards a New Perspective
Because curvatire of space time is dirrectly related to frquency and frequency is directly the same as mass and wavelength we can see frequency as the direct measure of curvature of space time. Gravity works by these curvatures overlapping and combining. So all the individual frequencies of each subatomic particle adds up linearly to all the nearby frequencies. So a planet or a star or a galaxy can be seen as a single particle at the center of the body with a single wavelength that is the addition of all the individual contributions of the individual sources.
The wave particle duality can be seen as the fact that the frequency is directly mapped to mass, so the wavelength nature of a particle is directly its point of mass. This is also scaled by the frequency scaling with increased curvature of space time.
7. Discussion and Conclusion
What this means is that there is no need to unify gravity with quantum mechanics, they are already unified. This unity is just hidden by the abstractions of our complex math and unit definitions.
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