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mathematics

Mathematics as Physical Representation

6 papers · full PDFs hosted on-site.

#Paper
01Kinematic Domains and Observable Ratios: Cross-Ratios and the Field of Physical ValuesPDF ↗
02The Goncharov Lie Coalgebra of Observables: Coproduct, Cobracket, and the Decomposition LawPDF ↗
03Motives as the Pre-Numerical Object: Betti, de Rham, and Hodge Realizations of Physical InformationPDF ↗
04Polylogarithms and Iterated Propagation: Transcendental Weight as Loop Order Rung II of a Modular Ladder from Kinematic Domains to MeasurementPDF ↗
05Regulators and the Period Pairing: From Motivic Object to Measurable Number Part V of Mathematics Physical Representation: A Modular LibraryPDF ↗
06Measurement as the Closure of the Ladder: A Synthesis of the Modular Library Mathematics Physical RepresentationPDF ↗