The Illusion of Retrocausality: Resolving Temporal Anomalies in a Discrete Symplectic Lattice
Abstract
Title: The Illusion of Retrocausality: A Lattice Resolution to the Hartman Effect Abstract: In quantum tunneling experiments, particles appear to traverse potential barriers instantaneously or even with negative group delay (the Hartman Effect), seemingly implying superluminal velocities (v > c) or retrocausality (effect preceding cause). Standard physics struggles to reconcile these observations with the strict causality required by Special Relativity. This paper proposes a resolution within the UIT-81 Framework, which models spacetime as a discrete symplectic lattice governed by a Universal Clock. We argue that "Time" is not a continuous fundamental dimension, but a discrete count of logic updates (state transitions) within the lattice. We demonstrate that quantum tunneling represents a Topological Shortcut where a particle bypasses intermediate Null Nodes. Since the "age" of a particle is defined by the number of lattice updates it undergoes, a tunneling particle accumulates fewer time steps than a particle traversing free space. To an external observer, this "skipped time" manifests as instantaneous travel or apparent retrocausality. We conclude that causality is never violated; the particle does not travel backward in time, but rather travels through a region of reduced temporal density. Key Contributions: Redefinition of Time: Defines time (t) strictly as the accumulation of discrete lattice updates (N{updates}), rather than a continuous coordinate. Resolution of the Hartman Effect: Explains the independence of tunneling time from barrier width as a result of topological adjacency (the barrier edges are linked). The Causality Shield: Proves that apparent superluminal signaling is an artifact of measuring coordinate time (t) against a process that skips update cycles, preserving the causal order of the Universal Clock. Keywords: Retrocausality, Hartman Effect, Quantum Tunneling, Superluminal Velocity, Universal Clock, Discrete Symplectic Lattice, Time Dilation, Causality, UIT-81 Framework, Negative Group Delay.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Quantum Mechanics and Applications
Relativity and Gravitational Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 20 January 2026
- Language
- EN