Laplacian on Fractals in Techno-econophysics: Percolation and Exergy Approach
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Abstract
Ever concluded that fractal fluctuations exhibit quantum-like chaos. Then provided a configurative description of a repeating unit [from gather (unit) to transform (emergent unit)] of four conservation laws & forces in the fractal organization of nature. To prove that the Fibonacci sequence is performed through Laplacian matrix normalization, which the techno-econophysics realm assumed as financial innovation.
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1. Selvam AM. Fractal fluctuations and statistical normal distribution. Fractals. 2009;17(3):333–49. Available from: https://arxiv.org/pdf/0805.3426
2. Ilinski K. Physics of finance. arXiv [Preprint]. 1997. Available from: https://doi.org/10.48550/arXiv.hep-th/9710148
3. Gowan JA. The Trinity: Space, Time, and Gravity [Internet]. [place unknown]: John A. Gowan; 2016 [cited 2025 Sep 23]. Available from: http://www.johnagowan.org/trintxt.html
4. Julaiti A, Wu B, Zhang Z. Eigenvalues of normalized Laplacian matrices of fractal trees and dendrimers: Analytical results and applications. J Chem Phys. 2013;138(20). Available from: https://doi.org/10.1063/1.4807589
5. Boyd S. Lecture 10: Solution via Laplace Transform and Matrix Exponential [Internet]. Stanford (CA): EE263 Autumn 2007–08; [cited 2025 Sep 23]. Available from: https://see.stanford.edu/materials/lsoeldsee263/10-expm.pdf
6. Solomon S, Weisbuch G, de Arcangelis L, Jan N, Stauffer D. Social percolation models. Physica A. 2000 Mar 1;277(1–2):239–47. Available from: https://econpapers.repec.org/article/eeephsmap/v_3a277_3ay_3a2000_3ai_3a1_3ap_3a239-247.htm
7. Cantono S, Solomon S. When the collective acts on its components: economic crisis autocatalytic percolation. New J Phys. 2010;12(7):075038. Available from: https://iopscience.iop.org/article/10.1088/1367-2630/12/7/075038
8. Taheri K, Gadow R, Killinger A. Exergy analysis as a developed concept of energy efficiency optimized processes: The case of thermal spray processes. Procedia CIRP. 2014;17:511–6. Available from: https://www.researchgate.net/publication/269222096_Exergy_Analysis_as_a_Developed_Concept_of_Energy_Efficiency_Optimized_Processes_The_Case_of_Thermal_Spray_Processes
9. Zhou 6. Available from: https://dspacemainprd01.lib.uwaterloo.ca/server/api/core/bitstreams/ca21e8d8-4fdf-4f3c-aab4-661ee9a2dd5e/content
10. Maksoed WH. Techno-econophysics’ fractal fractal involvement of “helium nat gas” exergy. Hyperion Int J Econophys New Econ. 2024;16. Available from: https://scholar.google.com/citations?user=NKKxjgkAAAAJ&hl=en