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2008
Banach space [0.531 MB]
Banach space 02 [0.587 MB]
Quaternionic numbers, extended product and group structure [0.681 MB]
Relation of Equivalence [0.243 MB]
etgb100v3 [0.732 MB]
2007
etgb98.pdf [0.335 MB] English translation of some ideas contained in etf31v4.pdf.
etfgb02 Introducing the idea that the Lorentz Einstein Law is a split of an extended product
etfgb01 Introducing the notion of extended product.
2006
etgb105.pdf: [January 2006; 0.26 MB]. A new appraoch concerning basis.
etgb104.pdf: EM fields induced by the variations of the geometry.
etgb102.pdf: A work concerning invariant Christoffel's cubes and oscillating metrics.
etgb101.pdf: [06.08.2006; 0.302 MB] Reductions of the EM field tensor and Lorentz transformations.
etgb100.pdf : Any classical representation of the EM field tensor (no Yang Mills term) can be decomposed with the help of a trivial split associated to an extended product (EM potentiel vector by position vector inside a Levi-Civita connection). This result is helpfull to understand the recent French document called "Partie XI" (see news). In the former I demonstrate that trivial splits can sometimes be related to Lorentz transformations. The proof is actually restricted to a standardized metric (static isotropic gravitational field) at infinity (distance ----> infiny).
Free explorations before 2006
Thierry PERIAT