A standing experiment in steering frontier machine intelligence toward
novel, verified theory — whose demonstration payload is a scale-dependent
information-processing framework for quantum mechanics, measurement,
gravity, and cosmology. Every number in the manuscript is derived,
tested, and pinned by this repository; every generation of the work,
including the flawed first draft, is preserved in
lineage/.
Classical mechanics governs the large; quantum mechanics governs the small; scale mechanics is the dynamics of the axis between them. Developed 2025–2026 under the working name CEQT (Computational Emergence Quantum Theory) through three adversarially verified generations; the founding name was ratified 2026-08-15. Not abbreviated — "ScM" only where unavoidable, never "SM".
Two doors into this repository:
- The physics. The manuscript is
paper/CEQT-v3.pdf— it keeps its generation-3 title because the verification record certifies that exact text. Its derivation engine issrc/scalemech/; its regression suite istests/; its observational dossiers aredata/recon/. - The method.
lineage/README.md— three generations of the work preserved in full: the raw first draft, the forensic sweep that found 14 fatal defects in it, the repairs, the convergence logs, and the gauntlet that certified generation 3.
The third-generation manuscript models physical reality as a
computational substrate whose effective description changes with scale.
Scale transitions are Takesaki conditional expectations between
finite-dimensional von Neumann algebras; measurement is stochastic branch
resolution obeying a hard rate ceiling; gravity is the thermodynamics of
severed computational connections; dark energy is the cost of
horizon-scale complexity growth. Every headline number is computed by
this library from stated inputs and locked in place by
tests/test_paper_numbers.py, which fails
if the paper and the code ever disagree.
| Result | Value | Where |
|---|---|---|
| Measurement speed limit | λ ≤ 2E_ex/πħ, floor τ⊥ = πħ/2E | Sec. 3, speed_limit |
| Optical-transition floor | τ⊥(2 eV) = 5.17 × 10⁻¹⁶ s | Sec. 3.4 |
| Commutator creation effect | peak √2/4 at γt = ln 2, from a commuting qutrit pair | Sec. 4, commutator |
| Born rule | no-signaling martingale + rate law (drift dynamics ruled out) | Sec. 4.1, measurement |
| Koide relation | Q = 2/3 ⟺ Z₃ sector equipartition; measured Q = 0.6666645(51) | Sec. 8.2, koide |
| Neutrino masses (prediction) | Σm_ν = 59.2 meV, (0.36, 8.66, 50.13) meV, normal ordering | Sec. 8.2.3 |
| Gravitational bridge | G = c³/(4 ln2 · ħη), η = 1.381 × 10⁶⁹ bits/m² | Sec. 5.2, gravity |
| Dark energy (prediction) | (w₀, wₐ) = (−0.885, +0.231) at c_h = 1; no phantom past | Sec. 6.1, dark_energy |
| Log-periodic CMB template | ω_log = 2π/ln 2 = 9.0647, σ(A) ≈ 1.2 × 10⁻³ | Sec. 6.2, dsi |
| Hierarchy as chart distance | Δs = ln(M_Pl/v_EW) = 38.44 | Sec. 2.2, chart |
The method demonstrated by the lineage: iterative strengthening of a
draft by fleets of adversarial AI verifiers, run until two consecutive
independent passes find nothing; numbers from committed engines, never
from prose; data confrontation on paper before any experiment is
proposed; refutations published as results; gaps conceded OPEN in
writing. The full protocol is distilled in
lineage/README.md.
Stated plainly, because it is the record's own epistemics: adversarial self-verification certifies arithmetic, internal consistency, citation reality, and confrontation against published data. It cannot certify novel physical truth — the verifiers share a substrate with the generator. The external ground wire is the scoreboard, registered in advance:
- Qutrit commutator bump — √2/4 at γt = ln 2 from a commuting pair; a cheap, decisive experiment on existing hardware.
- Measurement speed limit — no engineered readout beats τ⊥ = πħ/2E_ex.
- Σm_ν = 59.2 meV, normal ordering — a measured sum significantly away from 59 meV kills it.
- Fixed-frequency primordial template — ω_log = 2π/ln 2 = 9.0647, one free amplitude.
- wₐ > 0, no phantom past — a robust dark-energy reconstruction requiring wₐ < 0 with a past phantom crossing kills it.
G-universality stands as the gravitational sector's further kill condition. Reality grades these; nothing in this repository can.
git clone https://github.com/ovachiever/scale-mechanics.git
cd scale-mechanics
pip install -e ".[dev]"
scalemech-reproduce # derive every paper number from stated inputs
pytest # 82 tests, including the paper-number regression suiteLibrary use:
from scalemech import koide, speed_limit, dark_energy
koide.neutrino_solution("NO").total # 0.05916 eV — the flagship prediction
speed_limit.tau_perp(2 * 1.602e-19) # 5.17e-16 s — optical measurement floor
dark_energy.cpl_parameters() # (-0.885, +0.231)src/scalemech/ the derivation engine (numpy only)
chart.py canonical scale chart s = ln(l/l_P), hierarchy identity
speed_limit.py Margolus–Levitin measurement rate ceiling
commutator.py dephasing flow, envelope theorem, creation effect
measurement.py martingale branch dynamics, Born statistics, drift no-go
koide.py Z3 equipartition, circulant fit, neutrino solution
gravity.py Jacobson bridge, eta calibration
dark_energy.py complexity-horizon equation of state, CPL parameters
dsi.py discrete scale invariance, CMB template sensitivity
constants.py CODATA 2018 / PDG 2026 / NuFIT 6.0 inputs (single source)
reproduce.py scalemech-reproduce entry point
tests/ unit + property tests per module, plus test_paper_numbers.py
paper/ CEQT-v3.tex / .pdf (REVTeX 4.2), the generation-3 manuscript
paper/verification/ adversarial gauntlet log (passes 0-14, 48 findings) + raw engine output
data/recon/ observational-status dossiers (DESI w0wa, S8 tension, collapse speed, Koide, Planck DSI)
lineage/ the full three-generation record: raw gen-1 drafts, the
gen-2 forensic sweep and repairs, convergence logs, fleet dossiers
Generations 1–3 (March 2025 – July 2026) were built under the working
name CEQT; the complete record, including the audits, is in
lineage/. The framework's founding name, Scale
Mechanics, was ratified 2026-08-15 and debuts on the fourth-generation
manuscript (Scale Mechanics 1.0), whose program is the unification
theorem: classical and quantum dynamics as the two fixed-point regimes of
one scale flow — built in the open, against the scoreboard above.
Inputs are pinned in
src/scalemech/constants.py: CODATA 2018
fundamental constants, PDG 2026 lepton masses, NuFIT 6.0 oscillation
splittings, Planck 2018 Ω_DE. Change an input and the test suite reports
exactly which paper numbers move.
See CITATION.cff. The manuscripts in paper/ and
lineage/ are © the author, CC-BY-4.0; the code is MIT.
Bug reports about numbers are the most valuable kind — if any quantity
in the paper cannot be reproduced by scalemech-reproduce or disagrees
with the tests, that is a defect in the framework's front line. See
CONTRIBUTING.md.