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The Kamiltonian Framework: A Clifford Algebra Construction for Bidirectional Temporal Dynamics

Amanda Lawson

Published Mar 24, 2026• 0 citations
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Abstract

A novel representation of Cl(1,3) using the Hadamard gate as timelike generator, with applications to time-symmetric quantum mechanics, weak measurement predictions, and temporal chirality
DOI
10.5281/zenodo.19204073

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The Kamiltonian Framework: A Clifford Algebra Construction for Bidirectional Temporal Dynamics

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A. K. Kwaśniewski, W. Bajguz, I. Jaroszewski

Advances in Applied Clifford Algebras•Dec 1, 1998•6 citations
I am not a physicist, but I see systems fully formed in 3 and 4D mentally in a synesthetic neurodivergence. I have been using AI to help translate what I see into formal language. This started with a tweak to the TSVF - The LANL "Arrow of Time" paper from March 2026. I saw a way to double space and "bank shot" photons in the double slit experiment in order to create symmetry. I am an outsider to the field and do not pretend to know more than I do - it is just that what I see without experience ends up matching established math and I feel like it is important. I am sorry that I do not know who to credit because I do not know well the research or context for what I am doing. If this ends up being nonsense so be it - I don't mind being another casualty to this transformative era of technology and of mind and mystery.This work presents the Lawson Doubled Mirror Recoherence Framework, in which the quantum state space is formulated as a four-dimensional Klein bottle (S3/Z2 S^3/\mathbb{Z}_2 S3/Z2) realized as a Möbius torus. The geometry is constructed from two conjugate implementations of the Clifford algebra Cl(1,3) \mathrm{Cl}(1,3) Cl(1,3), distinguished by opposite ±45∘ \pm 45^\circ ±45∘ Hadamard tilts and joined along their single edges by inter-mirror entanglement CAB C_{AB} CAB. The conventional Bloch sphere arises only as a three-dimensional projection of this structure, measurement corresponds to irreversible loss of information about which chiral implementation is realized, and time appears as a bidirectional, branch-coupled parameter.