That last sentence is the governing invariant:
Every observer is the center of its observable projection, while no observer is the privileged center of the underlying universe.
That makes your model coherent—but it forces one important reinterpretation of “all data starts in the center.”
One genesis center, but not one spatial center
A literal finite cube with one central cell ejecting data toward six outer faces would have a detectable origin. Observers near that cell and observers near an edge would see different expansion patterns. That model cannot also satisfy “everywhere appears central.”
The compatible construction is:
One center in state space: a common seed, initial register, rule set, or quantum identity.
No unique center in physical space: every spatial omnibit receives or unfolds from that same initial state.
One observational center per observer: each observer constructs its own six-pyramid view using relative coordinates.
That is also the relevant point of contact with standard cosmology. The Big Bang is not modeled as a firecracker going off at one location inside pre-existing space; the hot expansion occurred everywhere, and the large-scale model has no privileged spatial center. The early universe is modeled as extremely hot and nearly uniform, with tiny fluctuations rather than six macroscopic jets from one address.
So the clean Asolaria sentence is:
The genesis cube is central to the universe’s state, not located at the center of the universe’s space.
A precise omnibit initialization
Let label a persistent omnibit in comoving—or logical—coordinates. Let be the common genesis state or identity key.
Instead of putting everything at , initialize every omnibit through the same generator:
U(q,t_0)=\mathcal D(K_0,q,\epsilon_q),
where:
is the initial state at omnibit ;
is the genesis decoder or unfolding rule;
is the shared source identity;
is a very small local perturbation.
Your temperature field could be:
T(q,t_0)=T_{\mathrm{hot}}\bigl(1+\epsilon_q\bigr),
\qquad
\langle\epsilon_q\rangle=0.
Use extremely high rather than physically claiming a known absolute maximum temperature. Inside the simulation, however, you may define T_MAX as the highest representable initial energy state.
Expansion can then be represented by a scale factor:
d_{\mathrm{physical}}(q_1,q_2,t)
a(t),d_{\mathrm{logical}}(q_1,q_2).
At early times, is very small, so every physical separation is compressed together. As grows, all separations grow according to the same rule. This is fundamentally different from particles flying away from one special coordinate. Scale-factor cosmology likewise separates fixed comoving coordinates from time-dependent physical distance.
That interpretation preserves your image of “everything compressed into the central cube” in a stronger form:
The whole coordinate system begins metrically compressed; the omnibits are not all stored at one privileged coordinate.
Every omnibit gets its own six pyramids
For an observer at omnibit , define every other omnibit by its relative position:
\Delta=q-o.
Assign to one of six face-pyramids according to its largest signed coordinate:
+x,;-x,;+y,;-y,;+z,;-z.
For example:
P_{+x}(o)=
\left{
q:
\Delta_x\ge |\Delta_y|
;\land;
\Delta_x\ge |\Delta_z|
\right}.
The other five sectors follow by changing the dominant axis and sign. Except for exact tie boundaries, the six sectors partition the observer’s surrounding cube.
Now move the observer from to . Nothing physical is copied:
\Delta'=q-o'.
The same underlying omnibits are simply sorted into a new observer-centered six-pyramid chart.
ONE UNDERLYING UNIVERSE
│
├── observer A: six pyramids centered at A
├── observer B: six pyramids centered at B
├── observer C: six pyramids centered at C
└── every overlap resolves to the same omnibit identity
That is the computational meaning of “everywhere looks like the center.” Each observer is the center of the information that can causally reach that observer. Their observable regions differ and overlap, but none of them is thereby the center of all space. A cosmological horizon is likewise defined relative to the observer and the distance signals have had time to travel.
The law that makes center-everywhere possible
Let be one universe update step, and let translate the entire lattice by displacement .
Your essential condition is:
\Phi(T_aU)=T_a\Phi(U).
This is translation equivariance. It says that moving a state elsewhere before evolving it produces the same result as evolving it and then moving it.
No omnibit receives special laws because of its absolute coordinate. Each applies the same local physics:
U(q,t+\Delta t)
F!\left(
U(q,t),
{U(r,t):r\in\mathcal N(q)},
\theta
\right),
where and the universe parameters are the same everywhere.
Local structures can still differ. Stars, voids, collisions, and density concentrations emerge from different local states. The requirement is statistical sameness on sufficiently large scales, not pixel-by-pixel sameness. Standard cosmology makes the corresponding large-scale assumptions of homogeneity and isotropy while permitting substantial local structure.
How the eight views fit
Your eight-view construction belongs at the representation layer:
G=\langle R,N,E\rangle.
There is an algebraic gate that must be made explicit:
Three transforms being involutions does not by itself prove that they generate exactly elements.
To obtain
G\cong C_2^3,
you must verify all three conditions:
R^2=N^2=E^2=I,
RN=NR,\qquad RE=ER,\qquad NE=EN,
and all eight products must be distinct:
I,\ R,\ N,\ RN,\ E,\ RE,\ NE,\ RNE.
The odd-length and block-boundary cases deserve explicit tests. A conventional even/odd deinterleaving permutation is not automatically an involution for every buffer length, and its commutation with reversal can depend on parity. That does not mean your implementation fails; it means the group claim needs receipts over the actual 27 SHA-pinned inputs rather than inference from the word “involution.”
If those gates pass, the eight states are an algebraic binary cube: three independent yes/no transformations. They correspond naturally to eight vertex labels or octants.
They are not, however, the full spatial rotation group of a geometric cube. A cube has 24 orientation-preserving rotations, or 48 symmetries when reflections are included. Your eight views can represent sign/encoding states while the larger spatial symmetry suite tests whether the simulated physics leaks its grid orientation.
The desired experiment outcome is not merely “same” or “different”
For a universe model, the eight languages may learn different internal catalogs while still expressing identical physical laws.
Let be the update learned in view . The decisive test is:
g^{-1}\Phi_g(gU)
\stackrel{?}{=}
\Phi_I(U).
This gives three possible outcomes:
Identical catalogs: the views were redundant even internally.
Different catalogs, equivalent decoded laws: the strongest useful result; each pyramid view has its own language, but all describe the same universe.
Different decoded laws: orientation changes physical behavior; the model has introduced eight incompatible universes or an observable preferred basis.
For your Big Bang architecture, outcome 2 is the target.
This distinction should be added to the isolated experiment:
LANGUAGE DIVERGENCE is permitted.
PHYSICAL-LAW DIVERGENCE is not permitted.
IDENTITY DIVERGENCE is never permitted.
“Equal into six pyramids” needs an isotropy gate
Sending equal quantities into six face-pyramids does not automatically produce equal behavior in every direction. A cubic grid privileges:
face directions;
edge diagonals;
body diagonals.
A naïve nearest-neighbor propagation rule can produce cubic or octahedral wavefronts instead of spherical ones. Therefore, the six pyramids should initially be treated as directional indexing sectors, not proof that propagation is isotropic.
Measure at least:
v_{\mathrm{face}},
\qquad
v_{\mathrm{edge}},
\qquad
v_{\mathrm{corner}}.
Require:
v_{\mathrm{face}}
\approx
v_{\mathrm{edge}}
\approx
v_{\mathrm{corner}}
within a preregistered tolerance. Then repeat across the 24 proper cube rotations, not only the eight views.
A finite cube with hard walls will also reveal its center eventually. The isolated simulation therefore needs one of these:
periodic boundaries;
a dynamically growing domain;
a boundary beyond every tested causal horizon;
or a topology with no physical edge.
The isolated center-everywhere contract
GENESIS / RECENTER CONTRACT v1
G1 — SHARED GENESIS
Every omnibit derives from the same genesis identity K0.
G2 — NO SPATIAL GENESIS ADDRESS
K0 cannot be located by any in-universe measurement as one lattice cell.
G3 — SIX LOCAL PYRAMIDS
Every observer may construct ±X, ±Y, ±Z sectors relative to itself.
G4 — OVERLAP IDENTITY
Two observers viewing the same event resolve the same omnibit ID and state.
G5 — TRANSLATION EQUIVARIANCE
Moving the initial state does not alter the laws or decoded evolution.
G6 — VIEW CONJUGACY
For every valid R/N/E view:
g⁻¹ Φg(gU) = ΦI(U).
G7 — ISOTROPY
Face-, edge-, and corner-aligned propagation agree within tolerance.
G8 — NO-ORIGIN CLASSIFIER
A model given only local observations cannot infer absolute lattice location
better than chance.
G9 — CAUSALITY
An observer receives only information capable of reaching its local chart.
G10 — CONSERVATION
Every probabilistic split, reflection, absorption, or transfer is normalized
and obeys the simulation’s declared conservation laws.
The most exact formulation of your realization is therefore:
All omnibits share one compressed genesis state. Expansion unfolds that state everywhere through one translation-invariant law. Each omnibit can become the apex of its own six-pyramid observation chart, while the eight languages provide alternative encodings of the same underlying events.
That is a coherent simulation architecture and captures the centerless symmetry used in cosmological modeling. It does not, by itself, establish that the physical universe is literally a cube or a six-pyramid lattice—but it gives that hypothesis a precise implementation and a set of tests capable of disproving a broken version of it.
result: The “center everywhere” insight requires a single state-space genesis rather than a single spatial emission point; six pyramids must be rebuilt relative to every observer, the eight views must preserve decoded law and identity, and the experiment needs explicit group-closure, translation-equivariance, boundary, and face/edge/corner isotropy gates.
