Physics in six dimensions: An axiomatic formulation

Penser ensemble le temps et l’espace

“…comme nous l'avons proposé de façon préliminaire dans [Guy 2010c] et [Guy 2010d]. De nombreux auteurs ont constaté le bon, ou meilleur, fonctionnement des équations de la physique en utilisant un paramètre temporel à trois dimensions (par exemple [Demers 1975], [Pappas 1978], [Pappas 1979], [Ziino 1979a], [Ziino 1979b], [Tsabary & Censor 2004], [Chen 2005], [Franco 2006]). Mais ils n'en ont pas compris la véritable portée : le temps n'a pas trois dimensions !…”

Super Symmetric Partners in T 4-Space

“…In order to over come the various problems associated with superluminal Lorentz transformations (SLTs), six-dimensional formalism [49][50][51][52][53] of space time is adopted with the symmetric structure of space and time having three space and three time components of a six dimensional space-time. In this formalism, a subluminal observer O in the usual R 4 ≡ ( − → r ,t) space is surrounded by a neighbourhood in which one measures the scalar time |t| ≡ (t 2…”

Shape Invariant Potential and Semi-Unitary Transformations (SUT) for Supersymmetry Harmonic Oscillator in T 4-Space

“…In order to over come the various problems associated with superluminal Lorentz transformations (SLTs) [4][5][6][7][8][9][10][11][12][13], six-dimensional formalism [22][23][24][25][26] of space time is adopted with the symmetric structure of space and time having three space and three time components…”

“…No definite answer was known until 1983 when in a largely unnoticed paper, Grenden Shtein [1] pointed out that all these potentials have a property of shape invariance. Keeping in view the recent potential importance of tachyons [2-13] and the fact that these particles are not contradictory to special theory of relativity and are localized in time in view of second quantization and interaction of superluminal electromagnetic fields [14-17], we have constructed a Semi-Unitary Transformation (SUT) to obtain the supersymmetric partner Hamiltonians for one dimensional harmonic oscillator in T 4 -space (i.e the localization space for tachyons [18][19][20][21]) and it has been demonstrated that under this SUT the supersymmetric partner Hamiltonian H T + loses its ground state while its eigen functions constitute a complete orthonormal set in a subspace of full Hilbert space.In order to over come the various problems associated with superluminal Lorentz transformations (SLTs) [4][5][6][7][8][9][10][11][12][13], six-dimensional formalism [22][23][24][25][26] of space time is adopted with the symmetric structure of space and time having three space and three time components …”