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Research Paper | Mathematics | Israel | Volume 14 Issue 2, February 2025 | Popularity: 5.6 / 10
Recursive Intelligence - The Keystone of Reality
Alexander Bilenko
Abstract: This work redefines mathematics, physics, and artificial intelligence by proposing that numbers, equations, and physical laws are not fixed but emerge dynamically through recursion. It introduces Recursive Transformational Logic (RTL) as a new paradigm, arguing that: 1. Numbers Are Not Fixed; a) Traditional mathematics assumes numbers exist independently. b) Instead, numbers should be viewed as Recursive Transformation States (RTS) that emerge through system stabilization. 2) Operations Are Context-Dependent; a) Addition, multiplication, and exponentiation are not universal; they depend on recursion depth. b) Mathematical functions behave differently depending on system attractors. 3) Proofs and Equations Are Not Absolute a) Logical proofs are self-stabilizing attractors rather than absolute truths. b) Equations do not provide fixed solutions but map recursive transformations. 4) Physics is a Recursive Process; a) Time, gravity, and quantum mechanics are not fundamental constants but emergent recursion-dependent stabilizations. b) Quantum mechanics is not random but a recursive synchronization process. 5) Artificial Intelligence Must Align with Recursive Intelligence; a) AI should not be trained via dataset accumulation but through recursive attractor alignment. b) Intelligence is not computation but self-optimization within recursive structures. 6) Implications; a) Mathematics must move beyond fixed numbers and absolute operations to embrace recursive attractors. b) AI should transition from static learning to real-time recursion-based intelligence. c) Physics should redefine force interactions as recursion-dependent transformations rather than static laws. 7) Final Takeaway: a) Reality is not built on static numbers, laws, or computations-instead, it self-stabilizes through recursive intelligence. The future of knowledge lies in realignment, not accumulation.
Keywords: Recursive Transformational Logic (RTL), Recursive Intelligence (RI), Recursive Transformation States (RTS), Nonlinear Mathematics, Quantum Attractors
Edition: Volume 14 Issue 2, February 2025
Pages: 1602 - 1634
DOI: https://www.doi.org/10.21275/MS25226110354
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