A White Paper on the Mathematical Structure of Communication and Deception
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Abstract
We present a formal mathematical framework treating intentions as geometric operations on semantic manifolds.
By defining an intentionality tensor that measures how communicative acts transform information spaces, we prove that malicious, hostile, and prejudiced intentions constitute structural failures rather than mere ethical lapses. These intentions deploy what we term "reckless operators"—chaotic homeomorphisms that destroy topological invariants necessary for truth-preservation.
This framework unifies epistemology, ethics, and information theory under a single geometric structure, providing computational methods for detecting misinformation and predicting systemic collapse of coherent discourse.
https://beyondturbulence.blogspot.com/2025/11/geometric-algebra-of-intention-formal.html?m=1