J. Rogers, SE Ohio, 31 Jan 2025, 1005
Abstract:
This paper argues that our current understanding of fundamental physical concepts is hampered by an overreliance on arbitrary unit definitions. Specifically, the conventional definitions of mass and length obscure the inherent unity of energy, mass, frequency, gravity, and spacetime curvature. By examining the relationships between these concepts through a lens of dimensional analysis and proposing a shift in perspective, we reveal a simpler, more fundamental truth: these seemingly disparate phenomena are different manifestations of a single underlying entity. A we recognize that the constant Qm is proposed as the mass of a photon at 1Hz, and is used to show the numerical relationships between these concepts, given our current standards.
Introduction:
Modern physics, while remarkably successful in describing and predicting phenomena, often relies on complex mathematical formalisms and seemingly arbitrary unit definitions. This paper challenges the conventional separation of energy, mass, frequency, gravity, and spacetime curvature, arguing that these concepts are artificially divided by our choice of units. We propose that these phenomena are intrinsically linked and represent different facets of the same underlying reality. The current definitions of the kg and the meter are examined and are shown to hide the simple relationship that mass is frequency. A thought experiment in redefining the kg and the meter is used to highlight this fact.
The Case of Mass and Frequency:
The conventional definition of mass, based on the kilogram, obscures its fundamental relationship with frequency. Planck's constant (h), with units of joule-seconds (kg⋅m²/s), acts as a scaling factor connecting energy and frequency in the equation E=hf. Dimensional analysis reveals that h/c² has units of kg⋅s, implying a direct link between mass and frequency. We denote this as a fundamental constant Qm. It represents the mass equivalence of one Hertz. Our current system of units, however, assigns a seemingly arbitrary numerical value to h, obscuring the direct proportionality between mass and frequency.
By examining the mass of fundamental particles (photons, electrons, protons, etc.) in relation to their equivalent frequencies, a consistent pattern emerges: mass and frequency are directly proportional. However, the proportionality constant (Qm= h/c² = G*m_p^2/c^3) is determined by our arbitrary definition of the kilogram. Q_m is just scaling the frequency to our definition of the kg. If we were to redefine the kilogram such that the mass of a photon at 1 Hz equals 1 kg (setting Qm to 1 kg/Hz ), the numerical values of mass and frequency would be identical, revealing their inherent unity.
f = m
With this simple redefinition of units we see that the kg is just a scaling factor between frequency and mass. This would make the h = (1)*c^2 = c^2 and so the energy formula for E=hf is really just E=mc^2 hidden by our definition of the kg.
Extending the Unity: Gravity and Spacetime Curvature:
Einstein's theory of General Relativity establishes a connection between mass-energy and the curvature of spacetime. Gravity, in this framework, is not a force but a manifestation of spacetime curvature. Since mass is equivalent to frequency, it follows that frequency is also directly related to spacetime curvature. Where there is frequency, there is curvature, and vice-versa. Gravity, then, can be understood as an interaction between frequencies, a perspective supported by the fact that the gravitational constant (G) can also be expressed in terms of Qm using the Planck mass.
Redefining Units: A Thought Experiment:
Consider a system of units where 1 meter is defined as the distance light travels in one second (1 light-second), and c=1. In this system, for photons, E=hf simplifies to E=f, and E=mc² simplifies to E=m. Consequently, for photons, E=m=f. Furthermore, since frequency is directly proportional to spacetime curvature and gravity in this framework, we arrive at the remarkable conclusion: E=m=f=gravity=curvature. While impractical for everyday use, this thought experiment reveals the underlying unity obscured by our conventional unit choices.
This also makes 1 = f λ so wavelength would just be f = 1/λ, this unifies frequency and wavelength as being simple inverses of each other, and this has been hidden by our unit definition for length.
Conclusion:
Our current system of units, while practical, has inadvertently led to a fragmented understanding of fundamental physics. By recognizing that mass and frequency are fundamentally the same, directly related to spacetime curvature and gravity, we can arrive at a simpler, more unified view of the universe. This perspective suggests that energy, mass, frequency, gravity, and spacetime curvature are not distinct entities but different manifestations of a single underlying reality, interconnected by a fundamental scaling constant that relates mass and frequency. This realization calls for a shift in perspective, encouraging physicists to look beyond the limitations of conventional units and to seek a deeper understanding of the fundamental unity of the cosmos. It is not that the laws of physics need to be changed, but rather that they must be re-interpreted. We have defined our measuring system in such a way as to obscure this simple truth, and we are confusing our system of measurement with reality.
Further Research:
This unified perspective opens up numerous avenues for future research. Developing a mathematical framework based on this fundamental unity, devising experimental tests to verify its predictions, and exploring its implications for unexplained phenomena like dark matter and dark energy are crucial next steps. Furthermore, this framework should be applied to other areas of physics, to see if other fundamental constants can be shown to be related through this simple principle, and to see if other fundamental truths have also been obscured by our choice of measurements.
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