Einstein–Karahan Framework v128 — Expanded Discovery, Origin Audit, and Short-Range Gravity Test Architecture

This expanded v128 release presents the major post-v127 developments of the Einstein–Karahan Geometric Unification (EK-GU) framework, covering the Master Action V2 architecture, origin audits, weak-field and cosmological null tests, direct short-range-gravity constraints, and a prospective same-face torsion experiment with explicit systematic-error control. The V2 branch introduces a differential-weight effective action in which the Einstein–Hilbert and R² sectors acquire distinct modulus dependence, yielding the scalaron relation mχ² = F/(6G) while preserving explicit local stability conditions. A higher-gauge completion identifies a projective transgression and a conditional compact R/Z zero-mode structure, but the compact C3 field ontology itself remains an explicit global assumption rather than a source-native derivation. Post-freeze origin audits further show that the R² coefficient, vacuum unit operator, and cosmological scalaron state datum remain independent inputs; no dark-energy scale, dark-matter replacement, or cosmological coincidence is claimed as derived. The short-range-gravity branch reconstructs the fixed-α = 1/3 Yukawa profile from available Eöt-Wash source-level information. The external 4.4 meV benchmark remains allowed within the tested interpolation families, but no statistically significant laboratory detection is found. A prospective microscale torsion architecture is then developed around a buried m = 3 density pattern beneath an unchanged external science face. Finite-geometry integration, Fisher analysis, finite-element mechanics, seating, electrostatic patch-field transfer, and vibration/common-mode tribunals identify the principal failure modes and their quantitative control requirements. For the current consolidated simulated geometry, the 4.4 meV, α = 1/3 benchmark produces a projected Yukawa torque of approximately 3.94 × 10^-23 N m at 25 μm, with a projected two-sigma coupling threshold α_min ≈ 0.239. A four-axis common-mode and witness architecture reaches a simulated 10,000:1 end-to-end vibration rejection, leaving approximately 41% of the frozen coherent-bias budget. A frozen injected-signal virtual experiment subsequently recovers the benchmark signal and reaches an anytime-valid, sequential 5σ-equivalent likelihood threshold at day 121, while an independent null control produces no corresponding 5σ crossing within 2000 simulated days. These final virtual results validate the recovery and falsification pipeline under the stated numerical and systematic assumptions. They do not constitute experimental evidence for a new force or a 4.4 meV particle. The release therefore separates derived structure, conditional extensions, prospective experimental sensitivity, fail-closed results, and remaining source gaps explicitly. The accompanying public validation archive reproduces the promoted numerical claims while leaving the private candidate-generation and exploratory research workflow undisclosed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-03
DOI
https://doi.org/10.5281/zenodo.23120067
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Einstein–Karahan Framework v128 — Expanded Discovery, Origin Audit, and Short-Range Gravity Test Architecture

Asil Karahan
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Einstein–Karahan Framework v128 — Expanded Discovery, Origin Audit, and Short-Range Gravity Test Architecture

Asil Karahan
preprint en

Abstract

This expanded v128 release presents the major post-v127 developments of the Einstein–Karahan Geometric Unification (EK-GU) framework, covering the Master Action V2 architecture, origin audits, weak-field and cosmological null tests, direct short-range-gravity constraints, and a prospective same-face torsion experiment with explicit systematic-error control. The V2 branch introduces a differential-weight effective action in which the Einstein–Hilbert and R² sectors acquire distinct modulus dependence, yielding the scalaron relation mχ² = F/(6G) while preserving explicit local stability conditions. A higher-gauge completion identifies a projective transgression and a conditional compact R/Z zero-mode structure, but the compact C3 field ontology itself remains an explicit global assumption rather than a source-native derivation. Post-freeze origin audits further show that the R² coefficient, vacuum unit operator, and cosmological scalaron state datum remain independent inputs; no dark-energy scale, dark-matter replacement, or cosmological coincidence is claimed as derived. The short-range-gravity branch reconstructs the fixed-α = 1/3 Yukawa profile from available Eöt-Wash source-level information. The external 4.4 meV benchmark remains allowed within the tested interpolation families, but no statistically significant laboratory detection is found. A prospective microscale torsion architecture is then developed around a buried m = 3 density pattern beneath an unchanged external science face. Finite-geometry integration, Fisher analysis, finite-element mechanics, seating, electrostatic patch-field transfer, and vibration/common-mode tribunals identify the principal failure modes and their quantitative control requirements. For the current consolidated simulated geometry, the 4.4 meV, α = 1/3 benchmark produces a projected Yukawa torque of approximately 3.94 × 10^-23 N m at 25 μm, with a projected two-sigma coupling threshold α_min ≈ 0.239. A four-axis common-mode and witness architecture reaches a simulated 10,000:1 end-to-end vibration rejection, leaving approximately 41% of the frozen coherent-bias budget. A frozen injected-signal virtual experiment subsequently recovers the benchmark signal and reaches an anytime-valid, sequential 5σ-equivalent likelihood threshold at day 121, while an independent null control produces no corresponding 5σ crossing within 2000 simulated days. These final virtual results validate the recovery and falsification pipeline under the stated numerical and systematic assumptions. They do not constitute experimental evidence for a new force or a 4.4 meV particle. The release therefore separates derived structure, conditional extensions, prospective experimental sensitivity, fail-closed results, and remaining source gaps explicitly. The accompanying public validation archive reproduces the promoted numerical claims while leaving the private candidate-generation and exploratory research workflow undisclosed.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.