Four-Dimensional Boundary-Leaf Foliation from Exact Six-Dimensional Hybrid Geometry

Building on the hybrid propagation geometry developed in Paper 4, this paper derives its exact dimensional structure. The regular QII continuation geometry is shown to be exactly six-dimensional through independent lower- and upper-bound arguments. A nonzero survival-order covector then yields a five-dimensional QII Horizon, while positive-radial normalization produces a four-dimensional normalized Boundary and corresponding Boundary-leaf foliation. The resulting hierarchy is derived without assuming a six-dimensional physical spacetime or compactifying two postulated spacetime dimensions. Physical-spacetime realization remains a separate open problem.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23682613
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

Four-Dimensional Boundary-Leaf Foliation from Exact Six-Dimensional Hybrid Geometry

Michael Tolbert
2 links
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

Four-Dimensional Boundary-Leaf Foliation from Exact Six-Dimensional Hybrid Geometry

Michael Tolbert
preprint en

Abstract

Building on the hybrid propagation geometry developed in Paper 4, this paper derives its exact dimensional structure. The regular QII continuation geometry is shown to be exactly six-dimensional through independent lower- and upper-bound arguments. A nonzero survival-order covector then yields a five-dimensional QII Horizon, while positive-radial normalization produces a four-dimensional normalized Boundary and corresponding Boundary-leaf foliation. The resulting hierarchy is derived without assuming a six-dimensional physical spacetime or compactifying two postulated spacetime dimensions. Physical-spacetime realization remains a separate open problem.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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Four-Dimensional Boundary-Leaf Foliation from Exact Six-Dimensional Hybrid Geometry — Michael Tolbert · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS