Podrobná bibliografia
| Názov: |
Equation vs. Hamzah Equation Superiority: A Comprehensive Comparison |
| Autori: |
JALALI, SEYED RASOUL |
| Informácie o vydavateľovi: |
Zenodo, 2025. |
| Rok vydania: |
2025 |
| Predmety: |
ψ–Hamzah equation, classical wave equation, wave phenomena, fractional derivatives, memory fields, dynamic ψ–time, prediction accuracy, stability, chaotic systems, memory effects, non-local effects, wave propagation, non-linear environments, biological systems, cognitive systems, quantum phenomena, interdisciplinary model, neuroscience, cosmology, biophysics, complex economics, fractal dynamics, wave modeling, non-linear dynamics, complex systems, consciousness, fractal wave structures, ψ–time, dynamic structures, theoretical comparison, numerical comparison, prediction errors, stability analysis, classical physics, advanced physics, complex networks, field theory, system modeling, energy distribution, information theory, time-space relations, computational modeling, nonlinear equations, memory modeling, dynamic fields, field dynamics, memory in physics, ψ–time theory, fractal geometry, memory in wave propagation, energy transfer, temporal dynamics, dynamical systems, awareness modeling, fractal time, cognitive modeling, biological waveforms, waveforms in cognition, system complexity, wave modeling in economics, market modeling, quantum wave dynamics, biophysical systems, non-local interactions, energy states, memory effects in wave dynamics, multi-scale systems, temporal memory, space-time modeling, wave theory, advanced modeling techniques, fractal equations, computational physics, wave equations in neuroscience, consciousness modeling, multi-disciplinary models, quantum field theory, classical wave mechanics, physical systems, system stability, mathematical modeling, dynamic systems modeling, time-space fractals, modeling awareness, cognitive dynamics, non-linear systems, multi-dimensional waveforms, time-dependent wave equations, nonlinear wave behavior, field modeling, quantum mechanics, classical mechanics, awareness dynamics, wave coherence, fractal structures, wave entropy, time evolution models, quantum consciousness, wave complexity, physics and consciousness, memory and field interactions, fractal time modeling, consciousness and information, wave function models, fractal behavior, quantum dynamics, non-linear wave behavior, memory-driven systems, cognitive theory, complex data systems, physics of cognition, memory networks, quantum waves, fractal information systems, wave signal processing, system theory, wave interactions, memory in dynamics, fractal dynamics in physics, biophysical modeling, brain waves, memory kernels, wave interference, wave mechanics, quantum models, nonlinear waveforms, system evolution, complex waveforms, quantum energy states, fractal analysis, nonlinear wave modeling, wave field theory, wave energy dynamics, fractal information dynamics, quantum information, space-time wave equations, cognitive field dynamics, time and space modeling, advanced wave models, dynamic memory equations, fractal wave forms, awareness modeling in physics, quantum wave equations, cognitive dynamics in physics, non-local fields, wave interference patterns, fractal-based systems, advanced field theory, wave analysis, temporal wave systems, physical wave propagation, fractal field equations, energy distribution models, cognitive systems modeling, dynamic equation modeling, fractal wave behavior, time-space fractals in physics, memory-based wave systems, temporal fractals, physics of non-linearity, wave function theory, wave dissipation, system memory effects, space-time wave dynamics. Ask ChatGPT |
| Popis: |
This paper presents a comprehensive comparison between the classical wave equation and the ψ–Hamzah equation, focusing on their relative superiority in describing wave phenomena. While the classical wave equation is rooted in traditional Newtonian and Laplacian perspectives, limited by its linear and memory-less nature, the ψ–Hamzah equation introduces a paradigm shift by incorporating fractional derivatives, memory fields, and dynamic ψ–time structures. The study explores both theoretical and numerical aspects of these models, highlighting key differences in prediction accuracy, stability in chaotic systems, memory handling, and the ability to model complex biological, cognitive, and quantum phenomena. The ψ–Hamzah equation demonstrates a significantly higher prediction accuracy, better stability in non-linear environments, and a capacity to account for memory and non-local effects in wave propagation. Furthermore, the paper provides an interdisciplinary framework, demonstrating how the ψ–Hamzah equation extends beyond physics, offering applications in fields such as neuroscience, cosmology, biophysics, and even complex economics. By redefining wave phenomena as dynamic, fractal expressions of awareness in ψ–time, the ψ–Hamzah equation emerges as a superior model that not only outperforms classical wave equations but also proposes a new language for understanding complex systems and consciousness. In conclusion, the ψ–Hamzah equation's superiority lies in its ability to unify diverse scientific domains, offering a robust framework for studying non-linear, fractal, and memory-dependent dynamics across multiple disciplines. |
| Druh dokumentu: |
Other literature type |
| DOI: |
10.5281/zenodo.15880492 |
| Rights: |
CC BY |
| Prístupové číslo: |
edsair.doi...........3b77c71f3e039178f392cf7bfbf3cf42 |
| Databáza: |
OpenAIRE |
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