Redefining Tunnel Operators in Transdimensional Number Theory

2025 · doi:10.22541/au.174648265.52983619/v1
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Abstract

In this update to Transdimensional Number Theory (TNT), we propose a revised model for tunnel operators, which are functions responsible for transporting mathematical objects, particles, and values across dimensional layers. Building on the concept of dimensional density, we redefine tunnel operators as probabilistic, decay-sensitive functions governed by the permissibility and entropy differential between dimensions. This paper formalizes a new expression for tunnel behavior using decay coefficients and survival probability functions. By integrating concepts from topology, quantum field theory, and chronotopology, the new tunnel operator model introduces more accurate predictions of object existence during traversal, supports entangled dimensional interactions, and improves our understanding of the mathematical limits of interdimensional transport. Real-world parallels are discussed in terms of information theory, quantum teleportation, and relativistic tunneling.
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Abstract

In this update to Transdimensional Number Theory (TNT), we propose a revised model for tunnel operators, which are functions responsible for transporting mathematical objects, particles, and values across dimensional layers. Building on the concept of dimensional density, we redefine tunnel operators as probabilistic, decay-sensitive functions governed by the permissibility and entropy differential between dimensions. This paper formalizes a new expression for tunnel behavior using decay coefficients and survival probability functions. By integrating concepts from topology, quantum field theory, and chronotopology, the new tunnel operator model introduces more accurate predictions of object existence during traversal, supports entangled dimensional interactions, and improves our understanding of the mathematical limits of interdimensional transport. Real-world parallels are discussed in terms of information theory, quantum teleportation, and relativistic tunneling. Supplementary Material File (entropy_reversal (2).pdf) - Download - 155.53 KB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

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last seen: 2026-05-20T01:45:00.602351+00:00