The Path Hypothesis: Foundations of a Relational-Discrete Physics (Die Pfad-These)
Abstract
This monograph introduces the Path Hypothesis (Pfad-These), a background-independent, discrete-relational foundation for fundamental physics unifying quantum gravity, gauge fields, and the Standard Model. Rejecting the continuous manifold R4R4, zero-thickness lines, and actual infinity, spacetime and matter emerge from a discrete network of 2D framed ribbons carrying D5≅Spin(10)D5≅Spin(10) Lie algebra representations.
Key results:
Exact geometric derivation of the fine-structure constant α−1≈137.036082α−1≈137.036082 from the D5D5 invariant kernel (16×120=192016×120=1920).
Proton-to-electron mass ratio μ≈6π5+(π−1)/62≈1836.15265μ≈6π5+(π−1)/62≈1836.15265 (0.012 ppm0.012 ppm from CODATA) from S3×S5S3×S5 color topology.
Emergence of the Einstein field equations via Wigner-6j6j Ponzano-Regge asymptotics and Gromov-Hausdorff continuum limit.
Resolution of the black hole singularity via Planck stars and prediction of post-merger gravitational wave echoes (Δt≈26.2 msΔt≈26.2 ms for 30M⊙30M⊙).
A catalog resolving 34 fundamental problems across quantum gravity, cosmology, flavor physics, and classical geometry without free parameters.
Correspondence & Inquiries: [email protected]
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BibTeX
@misc{bubolz2026path,
title = {{The Path Hypothesis: Foundations of a Relational-Discrete Physics (Die Pfad-These)}},
author = {Leonid Bubolz},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23604039},
url = {https://zenodo.org/records/23604039},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Path Hypothesis: Foundations of a Relational-Discrete Physics (Die Pfad-These)
AU - Leonid Bubolz
PY - 2026
DA - 2026/10/23
PB - Zenodo
DO - 10.5281/zenodo.23604039
UR - https://zenodo.org/records/23604039
AB - This monograph introduces the Path Hypothesis (Pfad-These), a background-independent, discrete-relational foundation for fundamental physics unifying quantum gravity, gauge fields, and the Standard Model. Rejecting the continuous manifold R4R4, zero-thickness lines, and actual infinity, spacetime and matter emerge from a discrete network of 2D framed ribbons carrying D5≅Spin(10)D5≅Spin(10) Lie algebra representations. Key results: Exact geometric derivation of the fine-structure constant α−1≈137.036082α−1≈137.036082 from the D5D5 invariant kernel (16×120=192016×120=1920). Proton-to-electron mass ratio μ≈6π5+(π−1)/62≈1836.15265μ≈6π5+(π−1)/62≈1836.15265 (0.012 ppm0.012 ppm from CODATA) from S3×S5S3×S5 color topology. Emergence of the Einstein field equations via Wigner-6j6j Ponzano-Regge asymptotics and Gromov-Hausdorff continuum limit. Resolution of the black hole singularity via Planck stars and prediction of post-merger gravitational wave echoes (Δt≈26.2 msΔt≈26.2 ms for 30M⊙30M⊙). A catalog resolving 34 fundamental problems across quantum gravity, cosmology, flavor physics, and classical geometry without free parameters. Correspondence & Inquiries: [email protected]
ER -