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arXiv2025

Constructing Fundamentals for the Theory of Proportions and Symbolic Allusions Applied Interdisciplinarily

The Theory of Proportions and Symbolic Allusions applied Interdisciplinary (TPASAI) is a framework that integrates mathematics, linguistics, psychology, and game theory to uncover hidden patterns and proportions in reality. Its central idea is that numerical encoding of symbols, dates, and language can reveal recurring structures and connections that reflect universal principles. By applying fractal analysis, the theory identifies patterns across different scales, offering a unifying perspective on the structure of the world. One key aspect of TPASAI is symbolic analysis, which allows for the reinterpretation of traumatic experiences in psychotherapy. For example, assigning numerical values to elements like fingers, dates, or words can help individuals uncover meaningful associations between personal experiences and collective symbols. This approach encourages cognitive flexibility and provides a therapeutic avenue for recontextualizing emotions. The theory also incorporates principles of game theory, which frame reality as a system of symbolic "codes" governed by rules that can be understood and strategically used. This perspective is especially useful for psychological conditions like obsessive-compulsive disorder (OCD), enabling patients to approach their obsessions as decipherable patterns rather than rigid constraints. TPASAI has practical applications in psychology, education, and technology. In education, it aids in teaching mathematical and linguistic concepts by exploring connections between symbolic representations and real-world events. In technology, the methodology can be employed in ciphering and natural language processing. The innovation of TPASAI lies in its ability to merge the structured rigor of mathematics with the interpretative flexibility of symbolic analysis, offering a deeper understanding of events and relationships.

cs.IT↗

arXiv2024

An Authentic Algorithm for Ciphering and Deciphering Called Latin Djokovic

The question that is a motivation of writing is how many devote themselves to discovering something in the world of science where much is discerned and revealed, but at the same time, much is unknown. The insightful elements of this algorithm are the ciphering and deciphering algorithms of Playfair, Caesar, and Vigenere. Only a few of their main properties are taken and modified, with the aim of forming a specific functionality of the algorithm called Latin Djokovic. Specifically, a string is entered as input data. A key k is given, with a random value between the values a and b = a + 3. The obtained value is stored in a variable with the aim of being constant during the run of the algorithm. In correlation to the given key, the string is divided into several groups of substrings, and each substring has a length of k characters. The next step involves encoding each substring from the list of existing substrings. Encoding is performed using the basis of the Caesar algorithm, i.e., shifting with k characters. However, that k is incremented by 1 when moving to the next substring in that list. When the value of k becomes greater than b + 1, it will return to its initial value. The algorithm is executed, following the same procedure, until the last substring in the list is traversed. Using this polyalphabetic method, ciphering and deciphering of strings are achieved. The algorithm also works for a 100-character string. The x character is not used when the number of characters in a substring is incompatible with the expected length. The algorithm is simple to implement, but it is questionable if it works better than the other methods from the point of view of execution time and storage space.

cs.CE↗