19 observables shown · click a row for registered claims, falsifiers and sources
Executable Model2
| Observable | Status | Scale | OPH | Observed | OPH mapping & status |
|---|---|---|---|---|---|
›Local native action H = Σ(I − Φ_e) | Theorem + executed | Micro | — | — | Repair is a dissipative optimization - disagreement gradient descent. It is not unitary on the carrier, which fixes where quantum reversibility must come from. Derived from the executed C/E instruments: positive, local Liouville operator; exact transfer I − H/M; each repair minimizes the pair's quadratic load cost and V = ||x||²/2 decreases by (d² − r)/4. |
›Repair-response candidates N2, N3, N4 | Owed / open | Micro | — | — | Several microscopic repair responses remain empirically open; the model specifies how to tell them apart. N2 (local six-level), N3 (flat endpoint) and N4 (reciprocal load-response) preserve load/record marginals; distinguishing assays defined, physical attachment missing. |
Foundations12
| Observable | Status | Scale | OPH | Observed | OPH mapping & status |
|---|---|---|---|---|---|
›Observers as primitive patches | Exposed premise | Micro | — | — | Physics is what overlapping observers can consistently agree on. Everything else - geometry, particles, forces - must be reconstructed from that agreement. OPH starts not from fields or spacetime but from finite observer patches: accessible algebras, states, records, visible overlap restrictions and repair instruments. |
›The specification (A1–A3) | Exposed premise | Micro | — | — | The synthesis paper treats this as a candidate specification: an executable observer whose inhabitants should recover the specification from their own records. It is an input, not a derivation. Formerly called axioms. A1: oriented observer-patch federation on a spherical screen with twelve-port icosahedral carriers; A2: endogenous overlap transport; A3: generalized-entropy / information projection. |
›The twelve-port (icosahedral) carrier | Exposed premise | Micro | — | — | Twelve ports in six antipodal pairs are the minimal symmetric way for a closed patch to exchange records with its neighbours; the icosahedral group is the largest finite rotation group acting on them. Each local carrier has twelve primitive boundary ports on an oriented icosahedral boundary (30 seams, 20 faces); its A5 action decomposes as 1+3+3'+5. This is part of the specification (A1). |
›Twelve equal port weights selection row 1 | Exposed premise | Micro | — | — | Equal splitting is forced only once the quadratic central-readback cost is declared; that cost choice is an exposed premise in the selection ledger. All twelve ports carry weight one: the unique minimiser of the quadratic readback cost among 1,352,078 integer splittings of 12. |
›Inverse port pairing and six axes selection row 2 | Finite theorem | Micro | — | — | Antipodal pairing is what makes the record exchange reversible; it fixes the six axes that later carry the Z6 centre. Ports pair into six inverse axes; this pairing is forced in the selection ledger, not chosen. |
›Oriented icosahedral action (A5, not A5 x C2) selection row 3 | Finite theorem | Micro | — | — | Records carry orientation; forgetting it loses information that later distinguishes chirality. The carrier acts by the oriented 60-element rotation group rather than the orientation-forgetting extension. |
›The holographic S2 screen | Conditionally derived | Micro | — | — | Holography: the information of a region is carried on its boundary. The celestial sphere of a local observer is that boundary, and its conformal group is exactly Lorentz. Observers live on a two-dimensional screen of patches whose conformal symmetry Conf+(S2) is the Lorentz group SO+(3,1). |
›Native repair law | Exposed premise | Micro | — | — | Instead of a Hamiltonian postulated from outside, time evolution is the process of observers reconciling records. When overlapping patches disagree, a local repair instrument restores consistency; repeated repair is the elementary dynamics of OPH. |
›Unified typed spine across papers | Exposed premise | Micro | — | — | A theory of everything built from many papers must fit together exactly; OPH tracks every interface. Cross-paper typed composition contract checks that results of different papers compose without hidden type mismatches. |
›Lean machine verification | Certified computation | Micro | — | — | The programme separates what is proven from what is conjectured, and makes the boundary machine-checkable. Finite theorems are formalised in Lean 4 with CI; numerical results carry replayable receipts. |
›Scheduler selection selection row 9 | Exposed premise | Micro | — | — | Which order repairs happen in must be fair; the specific scheduler is declared. Fair-block contraction branch of scheduler is an exposed premise (selection row 9). |
›Publicness policy selection row 8 | Exposed premise | Micro | — | — | Defining facts as records accessible to enough observers is a premise of the consensus layer. What counts as public is a declared policy (selection row 8). |
Gravity1
| Observable | Status | Scale | OPH | Observed | OPH mapping & status |
|---|---|---|---|---|---|
›Newton's constant G (SI value) | Imported | Cosmic | — | — | OPH predicts dimensionless ratios; converting to SI units needs one calibrated scale. G_SI is imported as a calibration anchor; a source-derived physical clock is required before G can be predicted. |
Matter1
| Observable | Status | Scale | OPH | Observed | OPH mapping & status |
|---|---|---|---|---|---|
›One Higgs doublet selection row 6 | Exposed premise | Matter | — | — | The minimal scalar content is declared, not yet derived. Declared matter completion with one-generation/one-Higgs witness (selection row 6). |
Particle Masses1
| Observable | Status | Scale | OPH | Observed | OPH mapping & status |
|---|---|---|---|---|---|
›Hadronic vacuum polarization | Imported | Matter | — | — | Hadronic corrections are imported until the QCD solver is source-armed. Delta alpha_had = 0.027609 +- 0.000112 imported from KNT19 compilation. |
Constants2
| Observable | Status | Scale | OPH | Observed | OPH mapping & status |
|---|---|---|---|---|---|
›SI units / Planck scale | Imported | Cosmic | — | — | OPH is a theory of ratios; one unit must be supplied by measurement. SI anchors are imported; dimensionful constants need a calibrated physical clock. |
›Planck's constant hbar | Imported | Micro | — | — | In OPH, hbar is the unit of record phase, a convention once units are fixed. Quantum of action used as unit; not separately predicted. |