A Speculative Effective 3D + 2T Framework: Benchmark Electroweak Constraints and Collider Feasibility Estimates

We propose a speculative effective framework based on a 5D Master Field Φ embedded in a 6D space R^(4,2) reduced via Sp(2,R) gauge constraints to an effective 3D+2T manifold, bounded by a fractal holographic screen (D_H = 2.85) at v = c. Topological vortex configurations of Φ are explored as candidate structures for fundamental particles. We investigate whether the topological winding number around a compactified second time dimension t_2 can be mapped onto an effective U(1) charge quantum number. Anchoring the compactification radius r_t2 ≈ 2.61 × 10^-18 m (M_KK ≈ 75.5 GeV) to the electroweak scale yields a benchmark contribution to (g-2)_μ compatible with experiment at the level of this estimate. Using published LEP II uncertainties (e+e- -> l+l-, qq at √s = 130-207 GeV), we estimate an indicative upper bound c_g ≤ 0.0057. For the High-Luminosity LHC (√s = 14 TeV, L = 3000 fb^-1), we present an illustrative feasibility study using a Mass-Decorrelated Adversarial Neural Network (ANN) to target di-b-jet cross-section spectrum distortion, giving an illustrative projected significance of Z = 7.62σ under stated assumptions. Finally, we outline candidate theoretical avenues regarding the cosmological constant and Strong CP problems, posing them as conjectures for future field-theoretic study.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23667243
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

A Speculative Effective 3D + 2T Framework: Benchmark Electroweak Constraints and Collider Feasibility Estimates

Sławomir Krysztofiak
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

A Speculative Effective 3D + 2T Framework: Benchmark Electroweak Constraints and Collider Feasibility Estimates

Sławomir Krysztofiak
preprint en

Abstract

We propose a speculative effective framework based on a 5D Master Field Φ embedded in a 6D space R^(4,2) reduced via Sp(2,R) gauge constraints to an effective 3D+2T manifold, bounded by a fractal holographic screen (D_H = 2.85) at v = c. Topological vortex configurations of Φ are explored as candidate structures for fundamental particles. We investigate whether the topological winding number around a compactified second time dimension t_2 can be mapped onto an effective U(1) charge quantum number. Anchoring the compactification radius r_t2 ≈ 2.61 × 10^-18 m (M_KK ≈ 75.5 GeV) to the electroweak scale yields a benchmark contribution to (g-2)_μ compatible with experiment at the level of this estimate. Using published LEP II uncertainties (e+e- -> l+l-, qq at √s = 130-207 GeV), we estimate an indicative upper bound c_g ≤ 0.0057. For the High-Luminosity LHC (√s = 14 TeV, L = 3000 fb^-1), we present an illustrative feasibility study using a Mass-Decorrelated Adversarial Neural Network (ANN) to target di-b-jet cross-section spectrum distortion, giving an illustrative projected significance of Z = 7.62σ under stated assumptions. Finally, we outline candidate theoretical avenues regarding the cosmological constant and Strong CP problems, posing them as conjectures for future field-theoretic study.

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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