PHI

New arXiv:2608.27216 QH-GEM a dynamical realization of sPNP’s amplitude–PhaSe division. Madelung the phase determines the hydrodynamic velocity while the amplitude feeds back through the Bohm quantum potential. Hamiltonian separates into phase/current kinetic energy and an amplitude Fisher-info term

New arXiv:2608.25953 Quasi-exact double-well models provide a useful external benchmark for sPNP and the information-geometric role of the Gaussian sector. Paper analyze the double-Morse oscillator using position- and momentum-space Fisher information and find that, as the separated wells merge, the

New arXiv paper 2608.23753 gives a neat QFT parallel to sPNP: Bell correlations in a relativistic double-cone setup reduce to normalized inner-product geometry with Gaussian profiles approaching B → 2√2. For sPNP: global Ψ → Distinction–PhaSe geometry → measurement Gram geometry → Tsirelson ceiling.

sPNP resolves Wigner’s friend by assigning actuality and coherence distinct ontological roles. The actual configuration Q supplies one definite observer record while the ontic universal Ψ retains the coherent geometry relating alternative configuration-space sectors. Wigner can recover interference

In sPNP, QGT's u need not be a 3rd primitive beside R&S. In Ψ =R eⁱˢ/ℏu, R carries amplitude/distinction structure and S the common U(1) phase, while u contains the relational structure left after magnitude and overall phase are removed: relative phases, spin/orbital orientation, and internal mixing

Ψ(X) Q_rel is cold, timeless, deterministic and geometric governed by the Jacobi-Fisher, carrying no entropy of its own. Where Fisher info is high, its stiff, organized into nontrivial topological-charge sectors under flow and survive Gaussoherence as the topo-protected structures we call particles.

In sPNP, the quantum potential and the Fisher-metric correction don't have to compete. They separate cleanly. In 1D, take V_eff(X) = V(X) + Q(X), with Q(X) = −(ħ² / 2m) · (R″ / R) and keep the Q₀⁻² Fisher-fold term in the metric sector, e.g. G(X) = m + ε · (R′ / R)², with ε ∼ Q₀⁻². Then the leading

The correction is not just extra inertia, it can become anisotropic once out of 1D. In 2D, the ε-term can generate a genuine ẋẏ cross-coupling at leading order, with coefficient controlled by the mixed Hessian of lnR, i.e. ∂x∂y lnR. That means the effect vanishes when R factorizes, R(x,y) = f(x)g(y)

In sPNP, the quantum potential and the Fisher-metric correction don't have to compete. They separate cleanly. In 1D, take V_eff(X) = V(X) + Q(X), with Q(X) = −(ħ² / 2m) · (R″ / R) and keep the Q₀⁻² Fisher-fold term in the metric sector, e.g. G(X) = m + ε · (R′ / R)², with ε ∼ Q₀⁻². Then the leading

equation of motion becomes mẌ + V′(X) + Q′(X) [ε-dependent velocity² term] = 0. The standard Bohm/Reginatto force survives exactly as the O(ħ²) piece, while the Fisher-metric fold contributes a separate O(Q₀⁻²) correction. At leading order, there is no mixed O(ħ²Q₀⁻²) interference term. So the sPNP

Jacobian Conjecture shouldnt rely on global inverse-map intuition. sPNP physics lives in geometry and measure, not in a naïve determinant criterion. Global many-to-one/singular behavior is expected structure. Projection is well-defined on regular strata and is covariant under the relevant symmetries

whtwnd.com/philphi.bsky... sPNP derives the 2√2 Tsirelson bound. Trace-preserving Gaussoherence and the causal kernel (enforcing microcausality) structurally rule out PR boxes. It mirrors Information Causality limits, while uniquely predicting exponentially small deviations at sub-macroscopic scales

arxiv.org/html/2509.07... Barontini realizes an internally parameterized relational clock in a nearly closed quantum system that orders the dynamics without reference to an external laboratory time, and the resulting internal time can be inserted into the Schrödinger equation with empirical success.

sPNP, this is a lab shadow of the relational time: the measured entropy is an R-sector coarse-graining of a deeper S-sector generator and the open prediction is that the entropic ordering should ultimately be recoverable from the Jacobi–Fisher structure rather than from coarse-grained entropy alone.

www.nature.com/articles/s41... Iakovleva show that Liouville-space Fisher surrogates are purity-sensitive and non-universal; structural confirmation in sPNP that the physically meaningful geometry lives upstairs, where Gaussoherence controls the coarse-graining that produces the mixed-state shadow.

Paper’s core pathology, purity change masquerading as parameter sensitivity in the projected metric, is in sPNP language, the export of Fisher curvature into configuration-space directions, a process the Fisher heat-kernel semigroup makes quantitative rather than accidental. Gaussoherence is the map

The Gaussian isn't treated as fundamental in Gaussoherence. The Fisher heat kernel is deeper with the Gaussian appearing as its local normal-coordinate form; the short-time asymptotic of diffusion on the Fisher. Gaussian smoothing is a coordinate shadow of Fisher geometry, not the mechanism itself.

Fisher width reinforces this. Just as Fisher width replaces Euclidean Gaussian width with a complexity measure built from the Fisher metric, the Fisher heat kernel replaces Euclidean diffusion with dynamics governed by distinguishability. Both constructions are reparameterizationinvariant and depend

arxiv.org/abs/2606.18306 Replacing the Euclidean identity with the Fisher metric, Fisher width becomes invariant under smooth reparameterizations and measures complexity in terms of statistical distinguishability rather than ambient coordinate distance. It mirrors the role played by Čencovs theorem

Quantities constructed from the Fisher possess an intrinsic geometric meaning independent of parametrization. Euclidean Gaussian structures are best understood as local asymptotic approximations while the Fisher geometry provides the underlying coordinate-independent framework. The relationship is

The wavefunctional is an active constraint geometry enforcing relational consistency. R is structure geometry and S is flow geometry. Fisher distinguishes configuRations and tranSport. Distinct configurations generate Fisher curvature, yielding Jacobi-Fisher geodesic flow and thus new configurations

arxiv.org/abs/2606.08280 Aharonov–Bohm flux insertion in a 2D Dirac system produces a universal Lorentzian peak in the Bures (Fisher) metric, derived from a controlled low-energy 2-level reduction near integer flux. Diverges as the Dirac mass goes to zero, effect explicitly tied to spectral geometry

The Bures metric is the geometric (paramagnetic) contribution to the persistent current susceptibility, encoding the sensitivity of persistent currents and orbital magnetization to flux variations and establishes a direct connection between info geometry and physically measurable response functions.

arxiv.org/abs/2606.08280 Aharonov–Bohm flux insertion in a 2D Dirac system produces a universal Lorentzian peak in the Bures (Fisher) metric, derived from a controlled low-energy 2-level reduction near integer flux. Diverges as the Dirac mass goes to zero, effect explicitly tied to spectral geometry