Papers

Millennium Prize Problem

The Haar–Measure Constraint and the Riemann Hypothesis

A proof that Haar invariance on the idèle class group A×/Q× enforces Re(s) = 1/2 for all square-integrable multiplicative characters. Combined with Tate's identification of L² characters with non-trivial zeros of the Riemann zeta function, this yields that all such zeros lie on the critical line.

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The Fixed-Point Paradox and the Incoherence of Counterfactual Freedom

A rigorously formalized theorem demonstrating the axiomatic incoherence of Counterfactual Freedom (CFF), grounded in Lawvere's fixed-point theorem, computability limits, and informational closure.

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Q's Gambit: FPP and Omnipotence

Subjects the strongest conceivable libertarian agent (Q) to the Fixed-Point Paradox (FPP), proving that even hypercomputation and omnipotence cannot coherently secure Counterfactual Freedom.

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On the Freedom of the Will: A Post-Paradox Reconstruction

A formal reconstruction of agency following the elimination of libertarian free will. This paper introduces the compatibility framework required to preserve moral and causal responsibility.

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Informational Realism

Investigating the ontological status of information in physical systems. This work argues that information is not merely a description of reality but a fundamental constituent of the physical architecture.

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