Lukas Geiger

Trade Interdependence as a Deterrence Weight: A Source-Checked Draft Branch of the Kantian Peace Framework

Trade Interdependence as a Deterrence Weight English abstract. This draft develops the trade interdependence branch of the Kantian Peace Framework. It presents a scale-compatible network ledger, one complete-information bargaining result, and six conditional results in separate r...

What Does the AI Elite Think? Synthetic Worldview Reconstruction of the 100 Most Influential AI Actors (2010--2026)

Abstract (English) This study reconstructs the collective worldviews of sociologically defined groups within the 100 most influential AI actors between 2010 and 2026. To address the research questions, the study develops synthetic worldview reconstruction (SWR)—an LLM-assisted sy...

Generalized Quantum Theory and the Falsification Gap: A Critical Evaluation Integrating Quantum Cognition and Contextuality-by-Default

Abstract (English) Generalized Quantum Theory (GQT) and the Model of Pragmatic Information (MPI) seek to account for non-local correlations in macroscopic systems by positing formal isomorphisms with quantum-mechanical structures. Drawing on a narrative literature review (72 cite...

Generalized Quantum Theory and the Falsification Gap: A Critical Evaluation Integrating Quantum Cognition and Contextuality-by-Default

Abstract (English) Generalized Quantum Theory (GQT) and the Model of Pragmatic Information (MPI) seek to account for non-local correlations in macroscopic systems by positing formal isomorphisms with quantum-mechanical structures. Drawing on a narrative literature review (72 cite...

Information, Transparency, and Audience Costs: Kantian Publicity as a Peace Mechanism

Information, Transparency, and Audience Costs Kantian Publicity as a Peace Mechanism Abstract (English) This paper develops the informational branch of the Kantian Peace Framework. It separates informational quality, contingent audience costs, and Kantian publicity, then operatio...

Synthetic Worldview Reconstruction (SWR): A Methodological Framework for LLM-Assisted Group-Level Belief System Analysis

Abstract (English) This paper presents Synthetic Worldview Reconstruction (SWR)—a method for reconstructing the collective belief systems of sociologically defined groups using large language models. SWR formulates worldview analysis as an inverse problem: given the aggregated pu...

The Kantian Peace Machine: Toward a Mechanism-Design Framework for Institutional Peace

Abstract (English) How can institutional design transform a security dilemma into a stable peace equilibrium? This paper proposes a Kantian mechanism-design framework that maps Kant's three Definitive Articles of Perpetual Peace onto a four-layered architecture: objective functio...

The Kantian Peace Machine: Toward a Mechanism-Design Framework for Institutional Peace

Abstract (English) How can institutional design transform a security dilemma into a stable peace equilibrium? This paper proposes a Kantian mechanism-design framework that maps Kant's three Definitive Articles of Perpetual Peace onto a four-layered architecture: objective functio...

A Conditional Height-Dominance Architecture for Beal's Conjecture: A Zookeeper-Style Reduction with a Power-Residue Sieve Companion (DRAFT)

This corrective preprint presents a conditional reduction architecture for Beal's conjecture and an asymptotic power-residue sieve companion. It does not prove Beal's conjecture. The problem is $A^x+B^y=C^z$ for positive integers with $\gcd(A,B,C)=1$ and exponents at least three....

A Conditional Height-Dominance Architecture for Beal's Conjecture: A Zookeeper-Style Reduction with a Power-Residue Sieve Companion (DRAFT)

This corrective preprint presents a conditional reduction architecture for Beal's conjecture and an asymptotic power-residue sieve companion. It does not prove Beal's conjecture. The problem is $A^x+B^y=C^z$ for positive integers with $\gcd(A,B,C)=1$ and exponents at least three....

The Joshi ATS Series under the Bridge-Certificate Standard: A Targeted Substance Audit and an All-Place Rigidity Classification of Effective Normalization Weights

The abc Gap Series:Part 5 — what these bricks can bear DRAFT / work in progress. This versioned working paper reports the current targeted substance audit of selected load-bearing steps of Joshi's Arithmetic Teichmüller Space series. It does not verify the whole ATS chain or deci...

What the Product Formula Allows: A Rigidity Theorem and an Effective-Weight Test for the ATS Height Subchain

The abc Gap Series: Part 6 — is the bridge allowed to bend? DRAFT / work in progress. This is a versioned working paper of an ongoing research programme; newer versions supersede older ones. No claim about the truth of the abc conjecture, the correctness of IUT, or the correctnes...

Global Normalization in Joshi's Arithmetic Teichmüller Theory: What the Identification Carries — and What Carries the Theorem (DRAFT)

The Global Normalization Contract Lemma Tool supplement of the abc Gap Series — a connected sequence of papers that locate, formalize, verify, and repair the central gap in the Mochizuki/Joshi approaches to the abc conjecture (Part 1: Forensic Diagnosis, DOI 10.5281/zenodo.218997...

Global Normalization in Joshi's Arithmetic Teichmüller Theory: What the Identification Carries — and What Carries the Theorem (DRAFT)

The Global Normalization Contract Lemma Tool supplement of the abc Gap Series — a connected sequence of papers that locate, formalize, verify, and repair the central gap in the Mochizuki/Joshi approaches to the abc conjecture (Part 1: Forensic Diagnosis, DOI 10.5281/zenodo.218997...

Dark Energy as Residual Vacuum Free Energy: A Thermodynamic Bound on the Cosmological Constant

This paper develops a thermodynamic research framework for dark energy, with a proved reduced variational model and open physical connections. For the dimensionally closed reduced free-energy density Phi_red = A + B*rho*ln(rho/rho_Pl) + C*rho^2, B,C > 0, existence, uniqueness, st...

The Bridge Certificate Applied to the Joshi ATS Series: A Ledger Audit (DRAFT)

The abc Gap Series: Part 4 — inspect the blueprint DRAFT / work in progress. This is a versioned working paper of an ongoing research programme; newer versions supersede older ones. No claim about the truth of the abc conjecture, the correctness of IUT, or the correctness of the...

The Bridge-Contract Criterion: A Form Audit for Transport Arguments, with an Instantiation in the abc Literature

The abc Gap Series: Part 2— The Bridge-Contract Criterion This ongoing research project proposes a seven-component bridge contract and a versioned ledger audit for transport arguments and global-only claims. The current paper reports a retrospective two-case illustration of the f...

The Bridge Certificate Applied to the Joshi ATS Series: A Ledger Audit (DRAFT)

The abc Gap Series: Part 4 — inspect the blueprint DRAFT / work in progress. This is a versioned working paper of an ongoing research programme; newer versions supersede older ones. No claim about the truth of the abc conjecture, the correctness of IUT, or the correctness of the...

Dark Energy as Residual Vacuum Free Energy: A Thermodynamic Bound on the Cosmological Constant

This paper develops a thermodynamic research framework for dark energy, with a proved reduced variational model and open physical connections. For the dimensionally closed reduced free-energy density Phi_red = A + B*rho*ln(rho/rho_Pl) + C*rho^2, B,C > 0, existence, uniqueness, st...

The Bridge-Contract Criterion: A Form Audit for Transport Arguments, with an Instantiation in the abc Literature

The abc Gap Series: Part 2— The Bridge-Contract Criterion This ongoing research project proposes a seven-component bridge contract and a versioned ledger audit for transport arguments and global-only claims. The current paper reports a retrospective two-case illustration of the f...