TNFR-Navier-Stokes program — re-founded on the current paradigm (2026-07).
The 3D incompressible Navier-Stokes equations read canonically: the vorticity
is the phase-curvature field K_phi, the viscous term is the nodal-equation
graph diffusion (the IL coherence stabiliser, nu_f <-> nu), and the
nonlinear vortex stretching is the VAL destabiliser. Because NS vorticity is
first order in time, its linear part sits on the diffusive (over-damped)
face; its conservative/inertial content -- where any blow-up lives -- is the
nonlinear stretching cascade. The Clay question becomes: does the nonlinear
K_phi cascade keep the modal enstrophy bounded as nu -> 0 (Re -> inf)?
This package provides a faithful pseudo-spectral integrator (operator) and
the honest two-face reading + blow-up-frontier measurement
(conservative_face). It closes NOTHING; global regularity of 3D NS remains
OPEN. See theory/TNFR_NAVIER_STOKES_RESEARCH_NOTES.md.
"""TNFR-Navier-Stokes program — re-founded on the current paradigm (2026-07).
The 3D incompressible Navier-Stokes equations read canonically: the vorticity
is the phase-curvature field ``K_phi``, the viscous term is the nodal-equation
graph diffusion (the IL coherence stabiliser, ``nu_f <-> nu``), and the
nonlinear vortex stretching is the VAL destabiliser. Because NS vorticity is
first order in time, its *linear* part sits on the **diffusive (over-damped)
face**; its conservative/inertial content -- where any blow-up lives -- is the
**nonlinear** stretching cascade. The Clay question becomes: does the nonlinear
``K_phi`` cascade keep the modal enstrophy bounded as ``nu -> 0`` (Re -> inf)?
This package provides a faithful pseudo-spectral integrator (``operator``) and
the honest two-face reading + blow-up-frontier measurement
(``conservative_face``). It closes NOTHING; global regularity of 3D NS remains
OPEN. See ``theory/TNFR_NAVIER_STOKES_RESEARCH_NOTES.md``.
"""
from .conservative_face import (
CascadeFrontierCertificate,
cascade_moment_hierarchy,
face_of_flow,
flow_coherence,
measure_cascade_frontier,
moment_ladder_closure,
verify_diffusive_face,
vorticity_modal_spectrum,
)
from .operator import (
TNFRNavierStokes,
build_torus_graph_3d,
taylor_green_initial_condition_3d,
)
__all__ = [
"TNFRNavierStokes",
"build_torus_graph_3d",
"taylor_green_initial_condition_3d",
"vorticity_modal_spectrum",
"cascade_moment_hierarchy",
"moment_ladder_closure",
"flow_coherence",
"face_of_flow",
"verify_diffusive_face",
"measure_cascade_frontier",
"CascadeFrontierCertificate",
]