### Session B: General Physics I

8:00 AM–10:00 AM, Saturday, April 1, 2006
Photonics Building Room: 203

Chair: Larry Gould, University of Hartford

Abstract ID: BAPS.2006.NES.B.7

### Abstract: B.00007 : Noumen Mechanics: a Program

9:30 AM–9:45 AM

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#### Author:

Edouard Rocher

Noumen Mechanics (NM): geometric synthesis between Relativistic Mechanics (RM) and Quantum Mechanics (QM) based on a more fundamental approach to RM. Events (1905) are geometric points in Minkowski space-time M$^{4}$, noumens (1972) in C$^{4}$, M$^{4}$ complex extension. A noumen is a chiral entity containing more information than an event, thus suggesting doing physics in C$^{4}$ instead of M$^{4}$. Three main principles: \textit{Representation duality:} M$^{4}$= C$^{4\ast }$xC$^{4}$ since Sl(2;C) acts on C$^{4}$ and is the fundamental representation of the Lorentz group. \textit{Homogeneous hypercomplex space:} C$^{4}$ and M$^{4}$ are quotient spaces of homogeneous spaces CC$^{4}$ and MM$^{4}$. A geometric point is represented by a homogeneous class; the coefficients of homogeneity $\lambda$ is its electroweak charge in CC$^{4}$, and $\mu =\vert \lambda \vert ^{2}$ its mass in MM$^{4}$. \textit{Analytic function of physical points:} Physical points are bounded sets of geometric points, noumens in C$^{4}$, events in M$^{4}$, with the resulting electroweak charge and mass. \textit{Phase 1}: gain a deeper understanding of the mathematical sources of QM and RM. Two main NM results: bound electrons do not radiate; C$^{4}$/M$^{4}$ is the solution to physics hierarchy problem. \textit{Phase 2}: apply new concepts to nuclear physics, following Pauli's interpretation (1936) of Fermi's weak-interaction constant (1934).

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2006.NES.B.7