Theoretical model · current · 2026-08-13 · three registers

Spatial Displacement Theory — the model as it stands

J. C. Harvey, Melbourne. Numbers from Engine/include/sdt/laws.hpp. People: sdt-for-people.html. LLM spine: Papers/SDT_LLM_UPTAKE.md. Cycle arithmetic: Theory/07_Cyclic_Reiteration.md.

For newcomers

This page is the whole building, labelled. Space is a packing. Matter is a lasting dent. Force is blocked inflow — one shape for falling, charge, and the nucleus. Mass is the cost of routing the inflow around a dent. Spin and travel share one speed. The electron is winding 1; the proton is winding 3. Planck length is the one ruler. Light-speed is a unit of the relay. α is hydrogen’s rung on the same ladder as the Sun. The CMB temperature is a clock.

Earth’s measured speed of light is the rung we sit on, not the ceiling. Temperature, pressure, and far-away light-speed are the same climb. We sit in the microwave. The jam of this cycle is infrared. Through-going light stops in hard gamma. If the bath goes to empty, gravity shuts off and seated matter spreads. The dump climbs until far-away light cannot move. Then the wall opens again. When that happens is not yet a derived time. The chain is computed from the identities, not chosen as a story.

In ordinary English

The constitution is short. Space is a gap-free packing of cells that hand movement to their neighbours. Matter is a lasting excluded volume. Force is occlusion only — nothing pulls. Planck length is the one ruler. Light-speed and Boltzmann’s constant are unit bridges. Action and the two masses are one seat. α is hydrogen’s rung on the same ladder as the Sun. The CMB temperature is a clock. G and M are not starting points. Dark matter, dark energy, expanding space, quarks, and wavefunctions-as-stuff are not starting points either.

Six laws carry the load. Every shell to the Clearing pays the same; leftover pressure is huge and isotropic. Stars recycle that inflow inside a domain. Force is the shadow of occluded inflow. Mass is the rerouting cost. Spin and travel share one speed. Electron winding 1, proton winding 3.

Koppa is a length: how deep a well is. The same depth is the clock, the stretch of a line, and the slowness Shapiro integrates. Light past the Sun is late because it ran slower. Temperature, pressure, and that far-frame speed are one ladder. Climb from the microwave: infrared wall, colour behind it, gamma stop. Heat death is gravity off when pressure is gone. Recharge climbs until far-frame light cannot move. Fire-time is pending. The chain is not.

Hydrogen is a centre, not a packed seat. Helium-4 is the α centre. Every nucleus with Z ≥ 2 is one α plus deuterons and tritons. Fission flays the jacket. Lamb frequencies are measured stickers. A fabricated 1051.8 MHz stays deleted.

For scientists and physicists

1. Constitution

Space = gap-free spation lattice, nearest-neighbour relay, tick c = ℓP/tP. Matter = lasting displacement volume. Movement = circulation + translation, one budget. Now = the tick. Force = occluded convergence only. No attraction.

F = (π/4) Peff R₁² R₂² / r²

The lattice cell is ℓP — Axiom R1, the one dimensional seed (FLM06). c, kB, e are unit bridges. {ℏ, me, mp} are one mass/action seat (FLM13). α is hydrogen’s koppa rung kH = 1/α (PPT02/APS05), same ladder as the Sun. TCMB is the FIRAS clock of the bath now. sdt::laws::measured stores CODATA/FIRAS numbers so the engine can compute. Prohibited: G, M as fundamentals; dark matter/energy; ΛCDM; quarks; ψ as a primitive; inflaton; a first moment. Certification: DERIVED · COMPUTED · CALIBRATED · OBSERVED · PENDING · EXCLUDED. Correspondence is not provenance.

2. Six laws

Identity
IΦ = Nε, N = RCMB/ℓP, Pconv = N uCMB. Inner shells cancel. RCMB class X.
IIRelease cascade. Stellar domain r = √(L/4π FCMB). Sun ≈ 20 800 AU.
IIIOcclusion law. Peff atomic: CALIBRATED. f = Peff/Pconv class E until RCMB is derived.
IVMass = reorganisation cost. minert = mgrav from the same Vdisp.
Vvcirc² + v² = c². Photon: v = c. Rest: vcirc = c.
VIW=1 electron, W=3 proton. W=2 not lasting.

Planck-face pressure: baryons exclude spheres r = ℓP/2. Φ = RCMB uCMBP². Gravity is that pressure shadowed. koppa_per_baryon C-flagged.

3. Koppa and depth

k = c/v  ·  z = ϟ/r = (v/c)²  ·  ϟ = v²R/c²  ·  v = c√(ϟ/r)  ·  zk² = 1

GM = c²ϟ is algebra. Same law: Earth orbit, Mercury, hydrogen v = αc.

4. Variable c — one z

cfar = c(1 − z)²  ·  dτ/dt = (1 − z)  ·  Δt = ∫ dl/cfar − ∫ dl/c

c(1 − z) alone is falsified (half Shapiro). Factor 2 DERIVED. Solar C1: 0.03%. Earth’s c is a rung; c ≈ c + 105 m/s.

Paper 06 · depth-closure scroller

5. Temperature, pressure, and far-frame speed

1+z = T/TCMB = (P/Pnow)1/4 = 1/(1 − zdepth)
N = λnow/λ  ·  cfar = c/N²  ·  P = N⁴ Pnow

TCMB = 2.7255 K OBSERVED. zrelease = 1089 OBSERVED. Wien b DERIVED (B07).

6. Lifecycle — COMPUTED chain

Shapiro measures the solar pressure-speed profile of excluded Planck spheres. Reverse-map: photosphere as through-going speed 0, Earth orbit as match to c. Weak-field: cfar(R) = c − 1273 m/s; at 1 AU, c − 6 m/s. Same identities at cosmological N:

PeakBandNcfarRole
1.063 mmmicrowave1cnow
975 nmnear-IR1090252 m/sFIRAS Clearing; SM last-scattering band
750–380 nmvisible1418–2798149–38 m/sbehind the wall
100 nmUV1.06×10⁴2.65 m/sbehind
1.21 pmgamma8.76×10⁸3.9×10⁻¹⁰ m/spair threshold
4.30 fmhard gamma2.48×10¹¹4.9×10⁻¹⁵ m/sP = Peff; stop-death
P6.58×10³¹→ 0lattice

Down: radio → λ = RCMB (static). Heat death: N → 0, P → 0, Law III gravity off, matter expands. Recharge until cfar → 0. Clearing = IR depinning. c/√3 is the fluid ceiling on the way down, not the recharge target. Fire-time PENDING. RCMB from first principles OPEN.

Lifecycle walkthrough → · Infrared wall → · Paper 07 →

7. Relativity as budget

vcirc² + v² = c²  ·  E₀ = mc²  ·  E² = (pc)² + (mc²)²

Nothing exceeds c in translation. Phase speed inside a proton c-boundary may exceed c (circulation, not a signal).

8. Particles, atoms, nuclei

W=1 electron. W=3 proton. Neutrino: open W=0, μν = 0 (PPT04). Neutron = proton + internal electron (structure; magnitude OPEN). mp/me = 6π⁵ is the packing count that conserves the point electron’s 720° Bohr-seat tube into the W=3 torus at Rp (PPT17): COMPUTED shared-input construction, 19 ppm correspondence, not an independent prediction. Hydrogen = proton centre. He-4 / He⁺ = α centre. Seats = D/T around the α from Li-6. Lamb H 1057.845 MHz and He⁺ 14041.13 MHz OBSERVED; native extraction WITHDRAWN; 1051.8 deleted. Grammar Z ≥ 2: nt = A − 2Z, nd = 3Z − A − 2. Packer dnn = 1.45 fm frozen. Fission is flay (NP35). Contact MeV UNDERDETERMINED.

Paper 05 · packing walkthrough

9. Operating cosmology

No expansion. Redshift = emission depth ⊕ octave squeeze. H₀ tension = one number asked to carry two mechanisms. Dark energy: no row. SN z³: EXCLUDED. Tired light: EXCLUDED.

10. Ledger

ItemStatus
Shapiro cfar = c(1−z)²; C1 solar redshiftDERIVED / 0.03%
Wien reverse-map MW → IR → gammaCOMPUTED
Heat death = Law III at P→0COMPUTED implication
Cycle fire-timePENDING
RCMB, H₀ from first principlesOPEN
Lamb frequenciesOBSERVED
Lamb native extractionWITHDRAWN
6π⁵ tube-volume map (PPT17)COMPUTED — shared-input, not independent prediction
SN z³EXCLUDED
GD05 native rotation shapeOPEN
Peff magnitudeCALIBRATED
koppa_per_baryon Law-III origin without ℓP↔GPARKED
E51 W=1 torus vP/vT as a formula for αunpaid experiment — not the origin of 137; 137 is kH
FLM14 residenceUNPAID

For people → · Laws walkthrough → · Causal chain → · Benchmarks →