Working paper 2.3
Resonant Spacetime
Causal Memory, Conserved Transport, and the Formation of an Emergent Halo
Troy S Lowndes · ToneThread Labs · 2 September 2026
Active working paper. An unfinished effective theory and an evolving simulation programme. It does not claim that dark matter has been explained, that a new fundamental interaction has been discovered, or that the model has passed observational validation. The sequence is frozen through Simulation 13. Simulation 14 is parked.
What the model currently supports
A long-lived dynamical spacetime state, sourced by baryonic history and governed by conservative radial transport, can self-form from negligible initial amplitude into a transonic, approximately r⁻² configuration. The halo profile, sonic radius, and terminal velocity are not put in by hand.
That is a result inside a reduced spherical model. It is not a discovery claim.
The frontier hypothesis
Dark matter may not be matter at all. It may be the gravitational history of matter, retained and transported by spacetime.
A hypothesis. Not a result.
Simulation ledger
The programme narrowed itself. Failed branches stayed in the record.
- 4
Can a retained wall become a halo?
No. Shell, not halo.
- 5
Does orbital history deposit r⁻²?
No. Too compact.
- 6
Does conserved transport help?
Yes. Geometry improved.
- 10
Does a transonic r⁻² branch exist?
Yes. Finite terminal speed.
- 11
Is it a no-tuning attractor?
Limited basin. 1 of 12 strict gates.
- 13
Can it form from an empty field?
Yes, in the reduced spherical model. n ∝ r⁻².064.
Simulation 14, parked
When the baryonic source is an axisymmetric disc rather than a sphere, does a retained-state halo still form, and what three-dimensional morphology does it take without fitting an NFW-shaped target? That is the next cycle. It is not required for this paper.
How to falsify it
Instability in the full covariant system. Retention that violates local gravity or gravitational-wave bounds. An r⁻² branch that is a numerical artefact. Realistic discs that will not form a halo without per-object retuning. History that adds no predictive power once present baryons are controlled. Failure across lensing, clusters, or cosmology with a shared parameter set.
Conceptual appeal is not a substitute for passing the gates.
You do not publish because you have reached the end. You publish because you have reached a place where somebody else can meaningfully join you.