OPH universe

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From the repair network to the observer's world

Left: the repair network around one observer, from the run itself. Right: a separately prepared free Dirac packet for each selected source ID. It illustrates a proposed field readout; it is not yet the interacting field reconstructed by the load run. Follow one source ID through its wave packet and detector records below. Click a label to inspect it; drag to turn the box.

Dots: carriers, orange above and blue below the mean load of the patch. Lines: glue seams. Rings: carriers repaired on the way to the next slice. Symbols: the defects of the patch by class, yellow ring at birth, red ring at the end; a white halo marks the ones followed in the box. Centre: the observer's own carrier, its seams lit as it records repairs.
declared preparation
Prepared field packets ·
Free Dirac packets on a finite periodic grid. White icosahedron: the carrier orientation; arrows: the declared cubic field axes. Each packet starts at its projected screen position. Glow: probability density. Symbol and line: detector records. Small arrow: prepared spin expectation. Playback advances this separate field clock by 32 ticks per source slice.

One carrier, the coherent model

The public programs coherent-seam-repair-v1 and coherent defect wave of the theory repository, run here step by step. Twelve ports, thirty seams, twenty faces. Drag to turn the carrier.

Experiment
starting port
internal level
pace
Numbers of this run
Checked against the public program
What this is and is not

The committed rule of the big runs stays as it is. This is the coherent version of the same seam repair: the observer keeps the removed disagreement in its own record, so nothing is erased and the quantum moves as a wave.

Two kinds of object are separated by the law itself: the vector type and the spinor type of quantum, with conserved charges −2 and +3 per level. A third kind is the flux of the link register. It is protected only relative to a boundary that is held fixed.

It is one carrier. There is no federation version of this law yet, no particle is identified and no rest mass follows. The Particles tab shows how the five levels label the known multiplets.

Quanta moving through space

Carriers stand on a cubic lattice and share six seams with their neighbours. The walk carries a coherent record and a declared two-state spatial spin pointer. One tick uses three axis shifts plus the chosen rest rotation; two alternating ticks form a period. This is the candidate program CF-1 of the theory session, executed here. Drag to turn the box.

Experiment
flux class on every carrier
face separation of the pair
share of carriers with flux
spacing of the carriers
pace
Numbers of this run
The same at scale, on the compute box
What this is and is not

The routing step is the seam operation of the public coherent program, taken between neighbouring carriers and pointed by the spin. Along an axis a massless branch has group speed one cell per tick. For the symmetric two-tick product, the Dirac comparison has cubic error only when all momentum components and the rest angle shrink together.

Declared, not derived: the cubic arrangement, the spin as pointer, the reflection of the record, the mass step and its angle. The rest angles shown are numbers of one carrier at the scale of the lattice. They are not masses in physical units.

The mass option used here gives the two handedness partners of a particle different angles, so it cannot be the whole mass step. The other option, a toggle of the neutral spinor level, fits the particle chart and has no value yet.

The display counts individual ticks; the alternating period contains two. The rest rotation is split around the three axis shifts. On an even lattice the walk preserves four body-centred sublattices, whose probabilities are summed in the picture.

At zero rest angle the CF-1 two-tick product has 32 zero-phase nodes and 32 phase-π nodes in the full momentum zone. A low-momentum packet with uniform angle and flat links retains its momentum support. The joint scaling p = εk, θ = εm has O(ε³) one-period operator error and O(ε²) error at fixed rescaled time. Fixed θ with only p shrinking does not have that bound. Finite product proof and its domain.

The early universe: OPH beside the standard model

Right: schematic standard thermal history with cited observations and model assumptions. Left: separate OPH proposals and executable register records. Each OPH entry says whether it is executed, stated under premises, imported or not derived. Pick an era. Below the eras: The first defects and early plasma, the executed register history beside a schematic thermal history.

OPH

Standard model of cosmology

OPH panel shows

Point by point

The numerical comparisons retain the named datasets of the public seen-data ledger; they are not a latest-measurement survey or frozen predictions. Overlapping CMB combinations are not independent and must not be combined as separate scores. The two P branches differ in tilt by only 8.1 × 10⁻⁸. The clumping pictures are a two-dimensional particle-mesh calculation with the same seed on both sides. Their geometry, expansion, transfer function and normalization are illustrative inputs, not reconstructed from the load run. PDG thermal history and nucleosynthesis give the standard comparison domain.

From register defects to declared quantum records

The interactive panels execute three specified constructions. Step 1 applies the passive register rule on one carrier. Steps 2 and 3 use the candidate CF-1 quantum tick and its apparatus. The later cards distinguish finite amplitude identities, Hamiltonian energy lines and calibrated mass comparisons.

1Born: conjugate register defects appear after accepted twists

Twelve ports hold integer loads. Repair evens the loads across a seam; an accepted current-driven register twist changes its two adjacent face classes. Two blank faces can become a conjugate pair. Orange marks classes 1/5, amber 2/4, green 3. The quark and lepton assignments are candidate labels. Register pairs can move, annihilate, split, exchange or fuse. The register does not feed back into the load dynamics.

What happened on this carrier
This is integer agreement with a fair tie coin and the declared Z6 register cost table. Birth proportions depend on the preparation and tier; the isolated-carrier drawing is not a rerun of the federation. In the audited L10 screen run the pair births are 757,258 for (1,5), 649,302 for (2,4), and 89,909 for (3,3). After balance positive-cost twists are blocked while many class-1/5 moves continue. Exact run counts and passive-register control.

2A declared rest angle changes the walk

Two wave packets start with zero mean momentum on a one-dimensional line. Left: zero rest angle, with fronts at one cell per tick. Right: a chosen coherent rest rotation changes the phase and spreading. The internal record is not measured during this evolution. The dial reads the zero-momentum phase of that same walk; interpreting its angle as a physical particle mass requires a separate source and unit map.

rest angle
Rest phase in the declared walk
Here the rest angle is the selected parameter of the CF-1 tick. A specified coherent scalar background can produce a coupling-dependent angle; replacing it with a quantum scalar memory is a different Hamiltonian problem. The family instrument below is another construction: its one-tick effect is not this repeated mass clock. A physical GeV scale and source transfer require separate evidence.

3It is recorded: position and momentum

A prepared quantum walk evolves on a line of 256 cells. Position records project onto disjoint groups of cells. The translation-phase detector has a complete finite-clock probability law and a declared real-amplitude state update. Each record samples an outcome and changes the state. Track mode records every detector-width ticks; coarse and fine detectors produce different disturbances. A fitted finite track slope is a detector statistic, not an undisturbed velocity or a sharp simultaneous position and momentum.

detector clock
Records
The outcome probabilities equal those of a uniform finite clock, controlled translation and Fourier readout. The shown state update additionally removes an outcome-dependent momentum phase; it is a declared instrument choice. All clock outcomes are included. A 256-state clock resolves this line’s discrete translation eigenvalues. The list shows the latest records; the full session list remains in memory.
The position width also sets the interval between automatic records, so changing it changes both resolution and measurement frequency. The speed row compares a finite sampled track with the starting packet’s group velocity; subsequent measurements can alter that packet.

4What fixes its mass

For the declared neutral background H=(0,v), the finite Yukawa benchmark gives m=|vY|, with v=v_EW/√2. A quantum scalar memory instead has its own stationary reference, two charged energy-transfer lines and complete residues. The same-H elementary/composite relation is exact in that finite memory; it does not prove a relativistic rest-mass pole or continuum FMS transfer. The masses below are comparison targets, and their physical unit is a calibration input.

 

Each large panel shows where one load quantum would be found, per observer cell, around the observer at the centre (white ring). The dashed circle is the supplied position detector. The grey circle is the influence front of the native repair, the farthest any record can have reached since the preparation. Each small panel is what a momentum analyser would record. All three panels start from the same preparation and share one clock, the sweep count; the observer at the centre counts about 33 own ticks per sweep.

Detector lab
federation
distance from the observer6
packet width1.6
wave number1.2
wave clock
pulse angle per event
sweeps per frame
Supplied detectors
detector radius
A read samples one outcome for each law with the Born rule and replaces the state by the conditional one. Born readout is a declared service of the paper. Under the native law the observer at the centre is itself a detector: a hop into one of its ports is a record on its own tape.
Records
no record yet
Numbers of this federation
What the three laws are

Native record law. The current instrument of the executable-observer paper. An attempt on a seam tests one of its two ends for the quantum, the coin choosing the end. Records are diagonal in the loads, so they never measure a momentum. A superposition of positions turns into entanglement with the tapes at 5 to 6 per sweep, and the position law diffuses.

Transfer continuation. Declared. The unitary group whose generator is the generator of the native transfer. The quantum moves like a particle of fixed inertial mass and its packet spreads.

Admitted wave. Declared. The positive-frequency part of the coherent wave of the paper, driven seam by seam: one event turns the seam variable and the difference of its two ports by the pulse angle. All wave numbers move at one speed, proportional to the pulse angle and below the influence front. On a regular clock the wave keeps going. Under the declared schedule of independent random draws the count noise of the schedule scatters it within about one over the pulse angle in mesh edges. On the paper clock the speed halves with every refinement level.