An Electrical Engineering Framework for the Universe: A Proposed AT Math Model
DOI:
https://doi.org/10.68050/JAMS.2026.714Keywords:
AT Math, electrical engineering, cosmology, Fourier transform, Golden Ratio, Golden Mean Parabola, phase, frequency, energy, information, mathematical physicsAbstract
This paper proposes an electrical-engineering framework for investigating the author's AT Math as a mathematical model of the universe. The framework combines the Golden Mean Parabola, logarithmic transformations, trigonometric phase relationships, Fourier analysis, exponential functions, energy relationships, and characteristic periods.
The central AT Math relationship is
t² − t − 1 = E,
where E is treated as a residual or energy-like quantity. When E = 0, the positive solution is the Golden Ratio, 1.618033988..., while the negative solution is −0.618033988....
The paper investigates the use of these quantities in electrical-engineering mathematics, particularly wave propagation, phase, frequency, Fourier transformation, exponential decay, and system dynamics. Numerical relationships involving sin(60°), √3, the reciprocal value 8/3 ≈ 2.667, and characteristic periods are examined.
The proposed framework is exploratory. Established equations of electrical engineering and physics are distinguished from numerical relationships proposed by AT Math. The ultimate test of the framework would be whether it produces dimensionally consistent and experimentally testable predictions that differ from existing theories.
This paper proposes an electrical-engineering framework for investigating the author's AT Math as a mathematical model of the universe. The framework combines the Golden Mean Parabola, logarithmic transformations, trigonometric phase relationships, Fourier analysis, exponential functions, energy relationships, and characteristic periods.
The central AT Math relationship is
t² − t − 1 = E,
where E is treated as a residual or energy-like quantity. When E = 0, the positive solution is the Golden Ratio, 1.618033988..., while the negative solution is −0.618033988....
The paper investigates the use of these quantities in electrical-engineering mathematics, particularly wave propagation, phase, frequency, Fourier transformation, exponential decay, and system dynamics. Numerical relationships involving sin(60°), √3, the reciprocal value 8/3 ≈ 2.667, and characteristic periods are examined.
The proposed framework is exploratory. Established equations of electrical engineering and physics are distinguished from numerical relationships proposed by AT Math. The ultimate test of the framework would be whether it produces dimensionally consistent and experimentally testable predictions that differ from existing theories.
References
1. Maxwell, J. C. A Treatise on Electricity and Magnetism. Oxford: Clarendon Press.
2. Einstein, A. “Does the Inertia of a Body Depend Upon Its Energy-Content?” Annalen der Physik, 1905.
3. Griffiths, D. J. Introduction to Electrodynamics. Cambridge University Press.
4. Hayt, W. H., Kemmerly, J. E., and Durbin, S. M. Engineering Circuit Analysis. McGraw-Hill.
5. Feynman, R. P., Leighton, R. B., and Sands, M. The Feynman Lectures on Physics. Addison-Wesley.
6. Cusack, P. T. E. AT Math and Related Mathematical Physics Papers. Independent research publications.
7. Cusack, P. T. E. “The Golden Mean Parabola and AT Mathematics.” Independent research manuscript.
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