initializing

MEFI Star and Planet System v16 — Corrected k꜀/kᵣ core and live galaxy parent flow

This is the single-system counterpart to the galaxy simulation. Loose matter nodes visibly collect into a composite stellar node; retained outer groups remain visible as forming bodies before becoming composite planets. The Flow view now preserves the real moving-node paths instead of placing arrows or artificial tracer paths over them. Every node uses the same 118-entry MEFI frequency chart and advances only one adjacent element at a time. Sliders provide starting conditions; their readings change to start → live once the run begins.

F_MEFI(r,t) = [k_c/r² − k_r/(r²(1+r))] + ΔQ(r,t)·f_UFR(t) Locked placement: k_c/r² is the singular expansion term. The (1+r) bracket belongs only to the subtracted k_r compression term.

Waiting for the first live field recalculation…

S = static term · U = ΔQ·f_UFR · F = S + U · Π = ΔQ·C k_c expansion = mapped matter center/10¹⁶ · k_r compression = (mapped focus width + retained compression)/10¹⁶ · r = live separation/body scale · ΔQ=(width_upper−width_lower)/total width

Core compression Bridge / RePhase Expansion boundary Feedback / pattern lock Decoherence locus

Node color now follows the same 118-entry elemental scale as the galaxy simulation. Functional stellar roles remain live in telemetry and the selected-body inspector. Planet count is not preset: a planet appears only after an independent retained matter structure sustains compression, stability, separation, and one UFR cycle of formation memory. Phase D decoherence is the only retirement path. Planet formation class is measured from the same retained member nodes for at least two complete UFR cycles and 24 solver samples, then latched. Live compression, UFR, ΔQ, orbital motion, and elemental percentages continue updating without relabeling one planet as rock, liquid, and gas from one carrier phase to the next. Once retained, its fixed member set becomes a live composite parent; every solver step includes its own member-parent path, the star-parent path, and one exact composite calculation for every directed peer-planet pair. That peer field is shared coherently by the target planet’s fixed members. No post-solver orbit or tangential-velocity correction is applied to planet members. Collapse now resolves one terminal outcome from complete live UFR-cycle evidence instead of cycling through several endings. The age clock waits at the collapse boundary until the same measured outcome remains stable across consecutive cycles, then that result is latched for the run. A supernova must show sustained outward shell motion and real radius growth; a neutron star must remain compact with low dynamic circulation; a magnetar must add distinct coherent signed-U circulation; and a compression well must show dominant inward compression, core contraction, and progressive retained kᵣ growth as real matter becomes bound. Only real nodes produce motion. Twenty-four live background-galaxy nodes continually rebuild six retained galaxy parents. Those parents interact locally and provide the whole-galaxy field measured by the stellar host. There is no analytic one-direction galaxy track, fixed launch tangent, circular target, attraction law, spring, or proxy force. A mature planet likewise becomes a live composite parent assembled from its retained real nodes; the parent never replaces or freezes those nodes. Planet position, velocity, frequency, kᵣ, k꜀, ΔQ, and UFR are rebuilt directly from the moving member nodes every cycle. There is no capped display-following step. This keeps the visible planet exactly on its body while the member nodes remain free in local, planetary-parent, stellar-parent, and retarded galactic flow. Creation begins with the entire matter-filled cloud participating in one broad retained compression well. Its smooth center is stronger, while directional real-node groups establish a local expansion boundary within that same cloud. The default inherited-remnant source enters only as retained kᵣ compression frequency left by an earlier supernova; the alternate event source enters only as distributed negative ΔQ. Boundary members begin through their own mapped positive ΔQ and expansive UFR polarity. Every part then evolves through live spatial relationships, so the starting gradient does not become a permanent cage. The Flow layer interpolates only between the two most recent exact solver positions and retains those real samples according to solver cadence, matching the natural-flow view on the Galaxy Formation page even when a large run cannot recalculate at monitor speed. It adds no arrows, normalized streamlines, or imposed curl. Local relationships keep the target node’s ΔQ and a measured target/source UFR phase lock; when real positive- and negative-U directional moments meet, their cross product supplies the measured eddy axis instead of an arithmetic average erasing the intersection. Positive F remains expansion and negative F remains compression because kᵣ is the subtracted compression term. Every relationship derives its radial/tangential resolution from signed U/(|S|+|U|), and its strength from the live three-dimensional separation divided by the relevant local, stellar, planetary, or galactic body scale. Capture is one-way: only inward exact residual acceleration opposing outward escape can remove radial energy. Tangential recovery occurs only when the real frozen core has measured coherent signed-U circulation; incidental sideways drift cannot manufacture a corkscrew. The remainder becomes the next exact sample’s retained kᵣ compression frequency. The star system is a traveling child of the live background galaxy. The host and every star node read the same versioned retarded packets from the same six retained galaxy parents. Only background(host + local node) − background(host) enters internal stellar motion, scaled by R★/4R★. Coherent host travel therefore curves naturally in world space without becoming a wall, wake, or half-moon force inside the star. The camera is independent of physical travel. “Center core” places the live stellar core at the canvas center once without changing zoom. “Lock core center” continuously follows only the core position, keeping it exactly centered while wheel zoom, Zoom Here, and the evolving simulation remain active. It does not lock the whole view. UFR polarity is signed at every node: each zero crossing reverses f_UFR and therefore the dynamic term ΔQ·f_UFR. The reversal retains a short frequency-relaxing memory of the node’s preceding exact compression, increasing the next live f_UFR response. Mapped matter center supplies live k꜀ expansion; focus width plus compression retained from negative-F cycles supplies live kᵣ compression. This reconfigures the native inputs to F = S + U without adding a second force or transition proxy.

Live MEFI formula field

r(t)—

kᵣ(t) · compression—

k꜀(t) · expansion—

ΔQ(r,t)—

fUFR(t)—

S(r,t)—

U(r,t)—

F = S + U—

C(r,t)—

Π = ΔQ·C—

Every value is recalculated from all active matter nodes. μ is the signed live mean; brackets show the live minimum and maximum. Starting sliders remain initial conditions only.

Periodic frequency source

k꜀ expansion · matter center

kᵣ compression · focus width

Nodes

Legacy matter seed

Focus boundary frequency

New matter begins as Hydrogen. The solver chooses one internal real-neighbor coverage for the node count: the 8,000-node baseline uses six exactly opposite-paired three-dimensional directions, while a sparse 4,000-node cloud automatically uses 24 cube-sphere directions so ignition cannot resolve from a projected x/y neighborhood. This is not a comparison mode and it never changes F = S + U. The legacy seed follows the galaxy model’s stability-weighted light-element distribution. All later changes can move through every one of the 118 chart entries, one adjacent state at a time. Each node’s mapped frequency still drives its live UFR phase, while state-change evidence accumulates on the same live carrier-cycle clock and threshold at every chart position. Entering a higher chart state therefore cannot accelerate the next change by itself. There is no iron or superheavy ceiling: a reverse step requires two carrier-evidence cycles and 24 consecutive samples of measured expansion-dominant retention loss.

Native inputs

Creation well source

Creation well strength

ΔQ frequency offset

ΔQ relaxation frequency

ΔQ selection radius (visual)

UFR carrier frequency

UFR focus bandwidth

Every creation run begins as one matter-filled whole-cloud compression well with a stronger central kᵣ gradient and a local directional expansion boundary made from real nodes. “Inherited supernova remnant” initializes retained kᵣ across that well. “Local ΔQ accumulation” initializes the same broad well through negative ΔQ. Boundary nodes begin on expansive UFR polarity. After the first sample, every region evolves and may reverse through the same live node formula.

Dependent time

Simulation speed

|F| time frequency

|ΔQ| time frequency

Stable frames

Stellar age

Aging rate

Post-collapse mode

Auto aging now defaults to 0.10% per second so formation remains observable instead of racing through the lifecycle. It advances Creation → Protostar → Main sequence → Planetary system → Collapse, then evaluates the retained core. A phase turns blue when the live run reaches it or when its button is accepted. Pressing a phase or ending queues rapid progression through every intervening phase and its measured evidence; no stellar or planetary calculation is skipped. The planetary-system stage still supplies no fixed planet count. Nothing is removed unless its retained body completes Phase D decoherence.

Post-core flow

Core integration frequency

Natural trail persistence

Moving-node brightness

Auto frame strength

Live MEFI condition check

Waiting for the first real solver samples.

Core balance—

Radial interaction—

Retained kᵣ—

ΔQ / UFR—

Magnetic coherence—

Measured result—

Real interaction required for each lifecycle condition

Creation: one matter-filled compression well across the full cloud, with a stronger inward center and a live local expansion boundary.
Protostar: growing retained compression, decreasing member radius, and mixed envelope flow.
Main sequence: bounded stellar members with continuing compression/expansion and UFR circulation.
Planetary system: independently retained outer node groups with live planetary, stellar, and galactic parent interactions.
Collapse: increasing kᵣ retention and inward core flow before any remnant label is accepted.
Supernova: compressed core/front followed by a positive-F outward wake in real nodes.
Neutron star: compact coherent negative-F retention without full compression overtake.
Magnetar: neutron-like compression plus a distinctly stronger coherent signed-U circulation.
Compression well: at least 93% sustained core compression, at most 7% expansion, overtake at least 0.86, and inward core flow.

Node state —

Exact core —

Network —

Live galaxy parent —

Magnetic MEFI —

Elements —

Star-organism roles —

Star-organism hierarchy —

Runtime —

Framework discipline: each real matter node begins inside the same whole-cloud compression well from its own mapped entry in the exact 118-element MEFI periodic chart, then recalculates against selected local nodes, its live creation or retained parent, its live planetary or stellar parent, and the residual of a running background galaxy. Twenty-four live galaxy nodes rebuild six retained galaxy parents and full retarded history packets every sample. Every stellar node subtracts the host reading from its own reading of those same packets, so shared galaxy motion cancels while changing local galaxy interactions remain. Every composite parent rebuilds position, velocity, kᵣ, k꜀, ΔQ, and fUFR directly from its real members. No rings, disks, arrows, or field-line geometry cover the nodes.