MEFI Galaxy Compression-Well Formation
The simulation begins with a galactic compression well and a surrounding matter field—not a completed spinning galaxy. Hydrogen collects first because its broad stability range lets it remain coherent while retained compression increases. Compression and expansion history must then overlap strongly enough for a local UFR to emerge. Only after that ignition can the retained node-within-a-node bodies mature into protostars, stars, and planetary systems.
τi = rret,i / vUFR
rret,i = |Xi(t) − Xcore(t−τi)|
Fi = [kr/rret,i² − kc/(rret,i²(1+rret,i))] + ΔQi(t−τi) · fUFR(t−τi)
Fchild←galaxy = FMEFI(rglobal,ret,tglobal,ret)
Fparent←galaxy = FMEFI(rglobal,ret,tglobal,ret)
achild = Fchild←parentd̂local + Fchild←galaxyd̂global
aparent = Fparent←galaxyd̂global
EUFR,body(t) = B(Cmemory,Xmemory) ·Aresponse ·√(McollectedSretained)
fUFR,local(t) = EUFR,body(t) sin[2πνrelationship(t)t+φ]
ΔQbody(t) = AΔQ,body(t) sin[2πνrelationship(t)t+φ]
kr,body(t) = kr,seed √(νmatter,body/νH) · gr[fUFR(t),ΔQ(t)]
kc,body(t) = [kc,seed √(νmatter,body/νH) +νcontained+νcaptured] · gc[fUFR(t),ΔQ(t)]
Rcapture = Sfield √[νmatter/(νmatter+νsupport)]
Rgalaxy-capture = Sfield(1+√[kc/kr])
Ccompression = max(0,−FMEFI) / (|Fr|+|Fc|+|FΔQ|)
matter m→m+1 only after ∫Ccompression|fUFR|νmdt ≥ 1 cycle
Correlation between travel and internal formation
Uniform travel alone does not alter internal motion because the nodes and core share the same center-of-mass velocity. The correlation appears when UFR response is finite: a node receives the core state from an earlier time, so its exact-core distance and phase are evaluated against a retarded core position. This can create a forward compression bias and a trailing compression/expansion wake while preserving the original core equation.
The spatial correlation is lag/r = VG/vUFR. Setting galaxy travel to zero, disabling Retarded UFR, or increasing propagation toward infinity returns the instantaneous original formulation. UFR propagation speed is shown as an explicit experimental parameter because it is not specified by the algebraic core formula itself.
For visualization, one field-scale distance is normalized to one propagation-light-second. This keeps the travel and propagation controls dimensionally correlated without hiding an arbitrary chase multiplier.
Three-dimensional disk formation
Nodes begin as frequency-bearing matter states distributed through a thick volume. In the signed formula, positive output is expansion and negative output is compression because the compression term is subtracted. Compression therefore points inward through all three axes. A limited portion of recovered radial motion enters UFR rotation while the remainder is retained by the enclosing body as captured compression. The resulting disk flattening and moving-core wake both remain derived from the exact-core state.
Node within a node
Local parents are not decorative markers, fixed grid cells, or a predetermined population. During initialization, every matter node is evaluated with the complete core formula. Compression-dominant exact-core output, local UFR coherence, and the frequency-derived capture radius determine the original compression centers. After that initialization, parent identity and child membership persist so energy goes into structural evolution instead of repeatedly increasing the parent population.
Each retained parent is an independent local compression body, not a centroid that can be dragged freely by its children. It carries collective matter frequency, retained compression, ΔQ, phase, and an exact-core response to the galactic body. Its child centroid supplies a weak coherence correction, while the parent’s own exact-core motion remains dominant.
This hierarchy prevents every matter node from independently chasing one global point. Local compression/expansion cycles can balance, rotate, and clarify into substructure, while the collection of parent bodies remains organized by the traveling galactic compression well.
Containment strength is derived from relationship area. The galactic share is S²galaxy/(S²galaxy+S²local), while the local share is S²local/(S²galaxy+S²local). Both layers still calculate the complete formula; the larger enclosing body naturally carries the dominant share.
When compression opposes radial escape, only part of the removed radial energy becomes tangential UFR motion. The remaining portion is retained by the enclosing parent or galactic core as compression frequency. This prevents orbit capture from becoming an eddy generator and allows the core field to strengthen as matter is retained.
Compression well → local UFR → building
The initial exact-core resonance and compression terms can collect matter even before organized local UFR motion exists. Each enclosing body therefore keeps separate memories of compression-dominant and expansion-dominant relationships. Its local UFR amplitude is initially near zero and emerges only when three live conditions overlap: sufficient collected matter, retained compression support, and a sustained balance of compression and expansion response.
Latent local compression basins are identified from the exact formula, but they do not begin as finished stars or decorative parents. Their children first collect and compress. Once their own compression/expansion histories ignite a local UFR, internal relative motion begins organizing the contained matter and the body can age through its structural states. Once per galactic UFR cycle, the live galaxy searches for additional, spatially distinct compression basins. A supported new basin can become a retained parent without rebuilding or replacing the established hierarchy.
Legacy matter and galactic aging
A newly forming galaxy may also inherit a controlled minority of matter from earlier stellar or galactic cycles. The Legacy matter seed sets that initial fraction. Legacy entries are drawn across the same 118-entry MEFI periodic-frequency chart with a strong stability weighting toward lighter matter, while newly available matter begins as Hydrogen. Legacy matter does not bypass subsequent transitions: every node still advances only one adjacent chart entry after a coherent compression/UFR cycle.
Galactic age advances automatically in completed local-UFR cycles rather than from a manual age gauge. Telemetry distinguishes the compression-well, Hydrogen-collection, local-UFR ignition, hierarchical-building, and maturing stages from the actual live collection, balance, UFR-emergence, matter, and stellar-structure state.
Every formula term is live
The four frequency controls are initialization seeds, not coefficients held constant during the run. Every retained parent and the galactic body continuously derive their own live UFR carrier, ΔQ amplitude, kr, and kc from current matter frequency, contained frequency, captured compression, polarity, and the signed ΔQ·UFR phase relationship. A child then uses the live coefficients of the body with which it is interacting.
ΔQ is therefore not one global gauge. It is recalculated for every relationship from the source body’s live ΔQ amplitude, the source/child frequency ratio, their frequency mismatch, retarded relationship time, and any injected disturbance. The resulting signed ΔQ·fUFR term changes both the current exact-core output and the next live resonance/compression response. The displayed seed values provide reproducible initial conditions; the telemetry separately reports the live values.
MEFI periodic matter color
Every visible node is colored only by its current entry in the supplied Full MEFI Resonance Periodic Table. The simulation includes all 118 named entries from Hydrogen at 1.0×10¹⁵ Hz through Oganesson at 3.59×10¹⁶ Hz. Raw near-core magnitude can no longer skip the chart. A node must sustain a compression-dominant exact-core relationship through a growing coherence threshold, then it advances by exactly one adjacent matter-frequency entry. Superheavy entries are not absorbing endpoints: their instability increases above Bismuth, and insufficient retained support returns them one adjacent entry at a time. Oganesson therefore remains possible but cannot accumulate simply because it is the end of the chart.
The color scale follows the chart’s increasing resonance frequency from blue through red. The control dock reports the current occupied element span and the most common matter entries without attempting to display 118 permanent legend labels over the galaxy.
Smooth observation
Established parent identities are persistent. A live growth pass never rebuilds, teleports, or retires them. Only the strongest non-overlapping new basin may be admitted, and only nearby children whose normalized capture relationship is substantially stronger may transfer to it. All other child membership remains unchanged. Parent centroids and inherited corrections remain UFR-smoothed. Frame-time spikes are also filtered before integration so a delayed frame cannot become one oversized motion step.
Evolution is also one-way: a matter cloud may become a protostar, then a star, then a planetary system, but a mature stage does not disappear during a temporary expansion interval. Its live field, composition, UFR, and other parameters continue changing normally.
Phase D — Decoherence is the only removal path. It requires a parent to be effectively empty, expansion-dominant, and simultaneously below the collection, UFR-emergence, and response-activity support floors for one complete local UFR cycle. The body is then shown in Phase D for one additional cycle before retirement, giving the state time to be observed. Only then are any remaining children transferred to the nearest surviving parent.
Stars and planetary systems
Parent rings have been removed. Coherent galactic motion translates each local body as a whole, while the child’s velocity relative to its parent is used for local capture and structure formation. A supported parent begins as an unmarked matter cloud, becomes a compact protostar after sustained exact-core/UFR cycles, then becomes a star. A mature parent with enough real matter-frequency diversity becomes a planetary system without decorative orbit circles.
Protostars, stars, and planetary systems remain visibly distinct and clickable. Click any evolved marker for its live parameters and retained element makeup; a mature system also reports the element mix of each displayed planet. When several evolved bodies overlap, click the same point repeatedly to cycle through them. Use Zoom Here, double-click, or the mouse wheel to magnify a chosen region; Shift-click in Zoom Here mode moves back out.
Enable ΔQ Inject and click the open canvas. Hold Shift for a negative-polarity pulse. Scrolling remains available while the simulation runs behind this page.