18 - Formalism: Are Dark Matter and Dark Energy Evidence of an Ancient Paradox?
The Void Dynamics Model Podcast · Justin Lietz
Audio is streamed directly from the publisher (content.rss.com) as published in their RSS feed. Play Podcasts does not host this file. Rights-holders can request removal through the copyright & takedown page.
Show Notes
This Complete Formalism (CF11) specifies a falsifiable, derived-limit route by which the VDM
metriplectic split (reversible J limb ⊕ irreversible M limb) can be interpreted as an effective
two-component “dark sector” at cosmological scales without postulating new fundamental
particles. The central technical move is to avoid an ad hoc field split Φ = ΦJ +ΦM: instead, a
state-level decomposition is defined by spectral (Riesz) projectors of the linearized generator
about a coarse-grained background, producing oscillatory (reversible) and relaxational
(irreversible) bands with a measurable spectral-gap gate. Sector stress–energy and a tracked
interaction remainder are then defined in a quadratic approximation using the energy Hessian
inner product, yielding explicit cross-term control metrics. Within clearly stated regime
diagnostics, CF11 derives correct bounded equation-of-state limits: a coherent, slowly varying,
nearly homogeneous sector satisfies wJ ≈ −1, while a defect/oscillation-dominated, nonrelativistic sector admits wM ≈ 0 via either particle-kinematics or rapid oscillations in a
quadratic minimum. The deliverable is a publishable contract plus binary gates for (i)
T2 lattice validation of degeneracy, entropy monotonicity, the spectral split, and causality
bounds, and (ii) T3+ observational regression using model selection (AIC/BIC) and a
hierarchy–lensing bias statistic.