Quantatative Finance This
paper describes a semi analytic approach to implying Default
Probabilites from vanilla CDS spread rates for CDS's having a range of
maturities. A substantial part of the analysis presented in the paper
will be placed in the context of the reference paper 1. In particular
we will maintain the same termonology as described on page 13 of
reference 1. Implied Default Probabilities
Theoretical Physics
This paper explores a new approach to physics employing Riemann Manifolds applied to many
dimensional configuration spaces, not just 4D space time.
Implications are that the Newtonian Energy-Momentum of a system in general is not
conserved, suggesting the existence of a field to maintain the
Energy-Momentum balance, and that all kinds of forces, not just gravity,
have their description in the metric tensor underlying the
configuration space. In fact the main results are obtained without any direct reference to existing
concepts concerning Gravity or Electromagnetism or any of the modern physical theories, but instead
by invoking the principle of least distance in a Riemann Configuration Space.
Riemann Configuration Spaces
The analysis presented in the above text, 'Riemann Configuration Spaces',
is applied to the case where the dimension of the configuration space
is infinite. In such a context the configuration space forms a
continuum in which equations of motion describing a general fluid are
derived.
Fluid Flow as an Infinite Dimensional Riemann Configuration Space
In what follows it will be demonstrated that the Lorentz force law and
the Maxwell non retarded Electromagnetic Potentials can be simultaneously generated from a lagrangian constructed from a single interaction energy between
particle pairs. It is also shown that Electromagnetism can be viably represented
by a simple spacetime metric constructed form the Four Potential. Both formulations have serveral implications, one of which is the importance of the
role played by the vector potential as the primary mechanism of energy transfer.
A local representation of Electromagnetism as a spacetime distortion
versus a global representation as a Riemann Configuration Space
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