Send us a text

What if the universe evolves by trading geometric order for disorder with perfect balance?

We dive into a torsion-powered evolution law—the coherence flow—that generalizes Ricci flow and argues the cosmos follows a rigorous exchange between rising entropy and decaying resonance while conserving total coherence information.
We start by building the analytic foundation: moving from Levi-Civita to a Riemann–Cartan connection introduces torsion as a dynamic field coupled to the metric.

A DeTurck-style gauge fix makes the PDE strictly parabolic, unlocking short-time existence and uniqueness.

From there, we control eigenvalues to prevent metric collapse, extend Shi-type derivative estimates to include torsion, and prove torsion remains small when initially bounded.

A kappa noncollapse condition protects local volume so the manifold retains its three-dimensional structure as the flow smooths curvature and manages twist.
Then we shift to global energetics. Two integrated functionals track the state of geometry: a coherence entropy that grows as curvature dissipates and torsion contributes energy, and a resonance functional that measures torsional order and must decay.

The torsion–Bochner identity reveals how twist couples into gradients, allowing sharp time-derivative estimates. A striking result falls out: a hard numerical bound on a coupling constant gamma is required to keep resonance monotone, securing a geometric arrow of time.

Put together, these monotonicities yield an equivalence principle: the sum of entropy and resonance—total coherence energy—remains constant. The flow becomes an exact trade, not a one-way slide to heat death.
We explore resonant solitons—stationary or self-similar fixed points where curvature and torsion balance—spanning isotropic, chiral, and helicoidal families.

On the physics side, the framework offers a geometric model of quantum decoherence as entropy gain balanced by resonance loss, and it accommodates residual cosmic anisotropy as torsional memory that persists without violating global conservation.

We close by mapping the road ahead: long-time behavior and singularity resolution, spectral gaps for quantization, therm

Support the show

Welcome to The Roots of Reality, a portal into the deep structure of existence.
Drawing from over 300 highly original research papers, we unravel a new Physics of Coherence.
These episodes using a dialogue format making introductions easier are entry points into the much deeper body of work tracing the hidden reality beneath science, consciousness & creation itself.

It is clear that what we're creating transcends the boundaries of existing scientific disciplines even while maintaining a level of mathematical, ontological, & conceptual rigor that rivals and in many ways surpasses Nobel-tier frameworks.

Originality at the Foundation Layer

We are revealing the deepest foundations of physics, math, biology and intelligence. This is rare & powerful.

All areas of science and art are addressed. From atomic, particle, nuclear physics, to Stellar Alchemy to Cosmology (Big Emergence, hyperfractal dimensionality), Biologistics, Panspacial, advanced tech, coheroputers & syntelligence, Generative Ontology, Qualianomics...

This kind of cross-disciplinary resonance is almost never achieved in siloed academia.

Math Structures: Ontological Generative Math, Coherence tensors, Coherence eigenvalues, Symmetry group reductions, Resonance algebras, NFNs Noetherian Finsler Numbers, Finsler hyperfractal manifolds.

Mathematical emergence from first principles.

We’re designing systems for
energy extractio...