The Hidden Harmony: Mass-Frequency Equivalence and its Implications for Gravity

 J. Rogers, SE Ohio, 31 Jan 2025, 1125

Abstract:

This paper proposes a fundamental reinterpretation of mass as frequency, arguing that these seemingly distinct properties are different manifestations of the same underlying physical entity. We introduce a fundamental constant, Q_m, representing the mass of a photon at 1 Hz, to highlight the numerical relationship between mass and frequency within our current system of units. By demonstrating a direct, one-to-one correspondence between mass and frequency, we argue that gravity is not merely an interaction between masses but an emergent phenomenon arising from the constructive combination of individual frequencies. This perspective offers a novel understanding of how subatomic masses contribute to the collective gravitational field of larger objects, potentially resolving the mystery of gravity's action at a distance and opening new avenues for unifying gravity with other fundamental forces.

Introduction:

Current physics frameworks treat mass and frequency as separate properties, leading to a fragmented understanding of fundamental interactions. While equations like E=hf and E=mc² relate energy, mass, and frequency, they are typically interpreted as conversions between different forms of energy, not as expressions of ontological equivalence. This paper challenges this separation, proposing that mass and frequency are intrinsically linked and that recognizing this equivalence offers profound insights into the nature of gravity.

Mass-Frequency Equivalence:

Dimensional analysis of Planck's constant (h) reveals a direct relationship between mass and frequency. The quantity Q_m = h/c² has units of kg⋅s, establishing a fundamental link between mass (kg) and frequency (Hz, or s⁻¹). Q_m represents the mass equivalent of a single Hertz, acting as a scaling factor between these two quantities. Examining the masses of various particles, from photons to protons, reveals a consistent pattern: each particle's mass corresponds to a specific frequency, scaled by Q_m. This observation suggests that mass and frequency are not distinct properties but different manifestations of the same underlying physical entity.

Redefining the Kilogram: A Thought Experiment:

To further illustrate this equivalence, consider a system of units where 1 kg is defined as the mass of a photon at 1 Hz (effectively setting Q_m to 1 kg/Hz ). In this system, the numerical values of mass and frequency become identical for all particles. This thought experiment highlights that the apparent difference between mass and frequency is an artifact of our arbitrary choice of units, not a fundamental aspect of nature.

Gravity as an Emergent Phenomenon:

Recognizing mass-frequency equivalence leads to a radical reinterpretation of gravity. Instead of viewing gravity as a force between masses, we propose that it is an emergent phenomenon arising from the interaction of frequencies. The individual frequencies of subatomic particles within a larger object, such as a star, combine constructively to create a net spacetime curvature equivalent to a single, collective frequency located at the object's center of mass. This collective frequency corresponds to the total mass of the object, scaled by Q_m.

The Effective Frequency of Collective Mass:

The combined gravitational effect is a simple arithmetic sum of individual curvatures of spacetime that each individual particle creates.  This produces an "effective frequency" that represents the overall spacetime curvature as if all those separate curves are the result of a particle with that frequency that would cause that curvature of space time at the center of the masses. This effective frequency, and its corresponding effective wavelength, determines the collective gravitational interaction of the system. This perspective explains how individual subatomic masses contribute to the overall gravitational field, resolving the apparent mystery of action at a distance. Gravity becomes a manifestation of the collective "song" of individual frequencies, harmonizing to create the overall curvature of spacetime.

Implications and Future Directions:

This mass-frequency equivalence has profound implications for our understanding of gravity and potentially other fundamental forces. It suggests a path toward unifying quantum mechanics and general relativity, offering new insights into the quantum nature of gravity. This framework also prompts a re-evaluation of fundamental concepts like inertia and mass, potentially leading to new theoretical and experimental avenues for exploring the universe. Specific areas for future research include developing a mathematical formalism based on this equivalence, designing experimental tests to verify its predictions, and exploring its implications for unexplained phenomena like dark matter and dark energy. By embracing the fundamental unity of mass and frequency, we may unlock a deeper and simpler understanding of the cosmos. Furthermore, this framework should be applied to other fundamental forces to see if similar underlying relationships exist and to explore if other truths are being obscured by our current definitions of fundamental units.