Wavefunction Collapse as Topological Phase Cancellation: Replacing the "Conscious Observer" with Discrete Arithmetic Friction
Abstract
The "Measurement Problem" and the concept of "Wavefunction Collapse" remain the most profound epistemological failures of standard Quantum Mechanics. Mainstream physics relies on the mystical premise that the act of "looking" by a conscious observer fundamentally alters the state of a quantum system. In this paper, we resolve this paradox within the framework of Computational Finitism. We demonstrate that wavefunction collapse is not a conscious act, but a deterministic, local computational event: Topological Phase Cancellation. By modeling the "observer" not as a mind, but as an active topological agent carrying a high TRB Maintenance Load, we show that measurement physically removes a topological path from the system. Using a discrete Steady-State Path Integral based on Manhattan geometry over a Modulo-9 substrate, we prove that interference fringes arise from the arithmetic addition of path phases, and "collapse" occurs when an active agent blocks one path, preventing the modulo cancellation that creates dark bands. We eliminate the need for conscious observers, replacing them with the ruthless efficiency of discrete arithmetic.
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BibTeX
@misc{ramos2026wavefunction,
title = {{Wavefunction Collapse as Topological Phase Cancellation: Replacing the "Conscious Observer" with Discrete Arithmetic Friction}},
author = {Néstor E. Ramos},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23535513},
url = {https://zenodo.org/records/23535513},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Wavefunction Collapse as Topological Phase Cancellation: Replacing the "Conscious Observer" with Discrete Arithmetic Friction
AU - Néstor E. Ramos
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23535513
UR - https://zenodo.org/records/23535513
AB - The "Measurement Problem" and the concept of "Wavefunction Collapse" remain the most profound epistemological failures of standard Quantum Mechanics. Mainstream physics relies on the mystical premise that the act of "looking" by a conscious observer fundamentally alters the state of a quantum system. In this paper, we resolve this paradox within the framework of Computational Finitism. We demonstrate that wavefunction collapse is not a conscious act, but a deterministic, local computational event: Topological Phase Cancellation. By modeling the "observer" not as a mind, but as an active topological agent carrying a high TRB Maintenance Load, we show that measurement physically removes a topological path from the system. Using a discrete Steady-State Path Integral based on Manhattan geometry over a Modulo-9 substrate, we prove that interference fringes arise from the arithmetic addition of path phases, and "collapse" occurs when an active agent blocks one path, preventing the modulo cancellation that creates dark bands. We eliminate the need for conscious observers, replacing them with the ruthless efficiency of discrete arithmetic.
ER -