◇ a speculative research program · est. 2026

Physics, projected.
Particles as moving throats in a 4D fluid.

This started as an attempt to disprove a speculative model. The model kept surviving, the scope kept growing, and now everything's public: the derivation graph, every verification script, and the status of every claim.

Poke holes. If something breaks, even better.

◇ plate 01 · brane–bulk
wbulk3-BRANE · (x, y, z)PROJECTIONTHROAT4+1 BULK
branethroatfieldprojection
◇ choose a trackeach topic exists twice — same structure, different voice
plain track

Plain English

Metaphor first. Math optional.
forCurious readers, students, science writers.
  • Every idea explained with fluid analogies before any formula appears.
  • No equations in the body. Occasional “here's the math if you want it” fold-outs.
  • 14 topics, ~45 minutes end to end.
how a page opens
Imagine a four-dimensional fluid with our world as the measured surface. Some familiar fields appear in controlled limits; particle-like defects are modeled as finite throats rather than points.
technical track

Technical

Formal notation. Equations inline.
forWorking physicists, graduate readers, referees.
  • Parent action stated on page 1. Every carry-forward identity is cited.
  • Every asserted equality carries a claim-status badge (exact · closure · open …).
  • Source chips point back to the current Zenodo preprints and the paper library.
how a page opens
Let ψ(x,w,t)\psi(x,w,t) denote a complex order parameter on the bulk R3 ⁣× ⁣Rw ⁣× ⁣Rt\mathbb{R}^{3}\!\times\!\mathbb{R}_w\!\times\!\mathbb{R}_t, with ρ=ψ2\rho = |\psi|^2 and a stiff polytropic EoS P(ρ)=KρnP(\rho)=K\rho^{n}, n=5\,n=5. A brane observer measures projection-defined fields…
◇ either trackEvery page has a link to the other track's version, so you can switch mid-read without losing your place. Prefer to browse the raw source? The Paper Library indexes the 9 published 4D papers, the PDE derivation archive, and the earlier superfluid-defect papers they build on.
n=5n = 5
weak-field EoS
κρ=1\kappa_\rho = 1
mass-dressing, not charge
κadd=12\kappa_{\mathrm{add}} = \tfrac{1}{2}
added-mass
β1PN=3\beta_{1\text{PN}} = 3
precession ledger
χQ=1\chi_Q = 1
normalization target