Strings, knots and a mathematical proposal for unification
- 1Evrmind Labs
Abstract
This synthesis develops the proposal that persistent string, knot and winding structures can supply a common description of matter, interactions and geometry. It brings the original fourteen studies and subsequent constructions into one mathematical narrative, now organised as six primary manuscripts.
Worked results include an attained winding-energy law; a matched interacting one-loop energy, current and curvature; exact conditional fission theorems and finite-fragment phases; a common field potential with localized fermion levels and binding controls; and a quantum operator with explicit winding-state transitions. The preserved forty-entry catalogue is presented with its selection provenance and physical interpretation. Flavour, coupling, neutrino, gravitational, cosmological and microscopic constructions are developed with their actual assumptions and tests. The paper offers calculable mechanisms and research connections for further investigation.
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BibTeX
@misc{vandenberg2026strings,
title = {{Strings, knots and a mathematical proposal for unification}},
author = {Ibrahim Vandenberg},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23604057},
url = {https://zenodo.org/records/23604057},
note = {CC BY-NC 4.0},
}
RIS
TY - UNPB
TI - Strings, knots and a mathematical proposal for unification
AU - Ibrahim Vandenberg
PY - 2026
DA - 2026/10/23
PB - Zenodo
DO - 10.5281/zenodo.23604057
UR - https://zenodo.org/records/23604057
AB - This synthesis develops the proposal that persistent string, knot and winding structures can supply a common description of matter, interactions and geometry. It brings the original fourteen studies and subsequent constructions into one mathematical narrative, now organised as six primary manuscripts. Worked results include an attained winding-energy law; a matched interacting one-loop energy, current and curvature; exact conditional fission theorems and finite-fragment phases; a common field potential with localized fermion levels and binding controls; and a quantum operator with explicit winding-state transitions. The preserved forty-entry catalogue is presented with its selection provenance and physical interpretation. Flavour, coupling, neutrino, gravitational, cosmological and microscopic constructions are developed with their actual assumptions and tests. The paper offers calculable mechanisms and research connections for further investigation.
ER -