Tetrahedral Precession and Dimensional Projection: A Geometric Origin of Charge, Spin, Time, and the Four Forces
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2026
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| _version_ | 1866901369009471488 |
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| author | Henderson, Iain Turnbull |
| author_facet | Henderson, Iain Turnbull |
| contents | <p>Abstract<br>We propose that the minimum stable topological configuration of a continuous spacetime field is the precessing tetrahedron — the 3-simplex endowed with intrinsic rotational dynamics arising from its embedding in an octonionic 8-dimensional driving field. We show that four fundamental physical properties emerge geometrically from this single configuration without postulate: (1) spin-½ behaviour, from the 720° periodicity of tetrahedral precession within SU(2) field topology; (2) the local rate of time, from the precession rate modulated by the metric signature parameter φ; (3) matter-antimatter asymmetry, from intrinsic tetrahedral chirality; and (4) electric charge, as the projection remainder of higher-dimensional geometric orientation onto the 3-dimensional associative quaternionic slice. Fleming's hand rules are reinterpreted as the explicit geometry of this dimensional projection. The four fundamental forces are derived as four distinct aspects of precession geometry. The geometric (Janet Left-Step) periodic table constitutes 150 years of empirical confirmation: orbital blocks s, p, d, f correspond to four precession complexity levels, and the f-block period length 14 matches the dimension of G■, the automorphism group of the octonions. Five falsifiable predictions are identified.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20030468 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Tetrahedral Precession and Dimensional Projection: A Geometric Origin of Charge, Spin, Time, and the Four Forces Henderson, Iain Turnbull tetrahedral precession field topology theory 3-simplex topological field configuration spin-½ geometric origin precessing tetrahedron Pauli exclusion principle Nopert theorem, SU(2) topology 720° periodicity charge as projection remainder dimensional projection octonionic geometry quaternionic slice G₂ symmetry Fleming's rules unified field theory metric signature spacetime phase transition dark matter frozen topology dark energy phase boundary Timescape cosmology cosmic voids differential clock rates Janet periodic table geometric periodic table orbital topology f-block G₂ dimension tetrahedral bonding Field Topology Theory Kintsugi Physics FTT <p>Abstract<br>We propose that the minimum stable topological configuration of a continuous spacetime field is the precessing tetrahedron — the 3-simplex endowed with intrinsic rotational dynamics arising from its embedding in an octonionic 8-dimensional driving field. We show that four fundamental physical properties emerge geometrically from this single configuration without postulate: (1) spin-½ behaviour, from the 720° periodicity of tetrahedral precession within SU(2) field topology; (2) the local rate of time, from the precession rate modulated by the metric signature parameter φ; (3) matter-antimatter asymmetry, from intrinsic tetrahedral chirality; and (4) electric charge, as the projection remainder of higher-dimensional geometric orientation onto the 3-dimensional associative quaternionic slice. Fleming's hand rules are reinterpreted as the explicit geometry of this dimensional projection. The four fundamental forces are derived as four distinct aspects of precession geometry. The geometric (Janet Left-Step) periodic table constitutes 150 years of empirical confirmation: orbital blocks s, p, d, f correspond to four precession complexity levels, and the f-block period length 14 matches the dimension of G■, the automorphism group of the octonions. Five falsifiable predictions are identified.</p> |
| title | Tetrahedral Precession and Dimensional Projection: A Geometric Origin of Charge, Spin, Time, and the Four Forces |
| topic | tetrahedral precession field topology theory 3-simplex topological field configuration spin-½ geometric origin precessing tetrahedron Pauli exclusion principle Nopert theorem, SU(2) topology 720° periodicity charge as projection remainder dimensional projection octonionic geometry quaternionic slice G₂ symmetry Fleming's rules unified field theory metric signature spacetime phase transition dark matter frozen topology dark energy phase boundary Timescape cosmology cosmic voids differential clock rates Janet periodic table geometric periodic table orbital topology f-block G₂ dimension tetrahedral bonding Field Topology Theory Kintsugi Physics FTT |
| url | https://doi.org/10.5281/zenodo.20030468 |