Conservative Motion Theory – C II: Analytic Cosmogenesis and the κ→0+ Limit of Creation
Description
We develop an analytic theory of cosmogenesis within the framework of Conservative
Motion Theory (CMT ). We show that the big bang corresponds not to a physical explosion
or curvature singularity, but to a universal Fredholm–analytic event:
κ → 0+, τ = −log κ → +∞,
in which the exchange kernel Kκ becomes trace-class and acquires support on a unique
spherical boundary (the UO–Tank). This event marks the birth of geometry, matter, and
external time.
The creation dynamics are governed by a universal spectral equation:
dλ0
dτ
= Aλ0 − Bλ20
,
derived from reflection positivity and conservation laws of CMT.
The resulting cosmology naturally predicts primordial isotropy, near-flatness, delayed
structure formation, and late-time acceleration without the need for inflation or dark energy.
We describe the links to CMTC III (reflective structure and consciousness) and CMTC IV
(-limit).