Abstract
Keppler’s phoronomy is basically a non-local physics of phases and frequencies whereas Newton’s dynamics basically forms a physics of accelerations and gravitational forces. Both fields have their own specific epistemic flavours and therefore should not be confused. The purpose of the present paper is to outline the cohomological and spectral aspects of the Kepplerian phoronomy which are based on the orbit method. In the infinite dimensional case it uses the lowest weight sl(2, R)-module decomposition of the standard complex Hilbert space L2(R) associated with the metaplectic representation ω in order to understand the third Kepplerian law of planetary motion as a Bohr-Sommerfeld quantization rule for symplectic spinors which is deduced from the tracial character formula of the Heisenberg nilpotent Lie group G. In a forthcoming second part of this paper, the same spectral principles of the Kepplerian non-local phoronomy will be applied to deduce the isotropic Schwarzschild metric of relativistic astrophysics.
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