Throughout this study, we defined a time scale based on the hydrogen transition frequency, creating a more natural and universal reference time than the classical time scale. The study involved the following steps:
This function:
– Creates energy density by focusing on the e and π points.
– Provides stabilization by adding optical harmonics.
– Contains a mechanism that carries energy information via phase modulation.
The universal resonance model presented in the report mathematically formulates how local periodicities can be transformed on a universal scale. This work, which reveals the connections between wave mechanics, frequency scaling, and gravitational acceleration, has been tested with signal processing techniques and supported by robust statistical results.
The continuity of life depends on the way solar radiation shapes the temperature balance on Earth. Solar radiation is the primary energy source driving ecosystems, driving biochemical transformations and changes in the structure of matter when certain temperature differences are maintained constant. Mathematical modeling of these processes can be approached from the perspectives of both thermodynamics and quantum field theory.
The Ümit approach is a model that relates the spatiotemporal distribution of wave functions to energy density. Electromagnetic resonance describes systems in which electric and magnetic fields produce maximum energy absorption at a specific frequency. This report will develop a new wave model that combines both theories and analyze its physical applicability.
In this report, we examine the hypothesis that the observer effect in quantum systems is not only a physical measurement interference but also a determining parameter, namely, the measurement duration. According to the hypothesis, whether the measurement duration is short or long changes the prominence of the interference pattern (the coherence of the wave function) in the double-slit experiment.
Traditionally, the definition of 𝑒 represents exponential growth and continuous systems. However, our mathematical and optical analyses show that ee is not just an abstract constant; it acts as a focal point for energy!
Below is a comprehensive article report detailing the mathematical foundations of the universal resonance model, the tests performed with the signal processing methods used, and the results obtained.
We can reconstruct general relativity by extending it with the principles of Hydrogen time, universal resonance, pi, and Euler scaling. Here is an alternative framework based on these theories:
In this study, a new theory is presented that models the propagation of energy density within a three-dimensional volume. This study is developed as an alternative to existing two-dimensional energy density models and offers new perspectives in both subatomic particle physics and cosmology. The mathematical basis of the model shows that energy density decreases with a logarithmic trend and that negative energy densities contribute to proton stability. Simulations and mathematical analyses support the theory, demonstrating its compatibility with existing physical theories and opening up new avenues for research.