Phil
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philphi.bsky.social
Phil
@philphi.bsky.social
Fisher Curvature, Explainable AI, Evolutionary AI, PHILosophy. "Philo" φίλος which means "loving" or "friend". D[R S] ≠ 0
Fisherphobic sPNP relational–geometric: The Born amplitude R defines a distinguishability geometry on the 3N-6 manifold; its curvature generates the quantum potential. Jacobi dynamics is geodesic flow in this state-dependent relational metric; spacetime/gravity are the push-forward of that curvature
November 6, 2025 at 2:16 AM
Distinction-first ontology: The minimal “this vs that” (two points) already produces a nontrivial reduced space (a ray) with scale physical (3N-6). Barbour’s pure-shape choice requires at least 3 points, so collapsing N=2 to 0 DOF; sPNP recovers dynamics from a distinction and scale is natural in ψ.
November 1, 2025 at 5:42 PM
MFI idea "physical systems evolve by minimizing loss of Fisher information in a channel, equivalently, maximizing retained FI.” In sPNP, both dynamics and coarse-grainings are judged by how well they conserve Fisher distinguishability (amplitude from R) and the flow (phase-driven transport, from S).
October 29, 2025 at 5:33 AM
Gaussoherence: sPNP’s Smooth Operator. Coarse-grain shape space via the Fisher heat kernel e^{−Q0^2 Δ_G[R]} (environment sets Q0). A causal push-forward K_g(X,x) and a fixed-point with g_{μν} jointly yield decoherence + 4D spacetime; Einstein–Hilbert leads for small Q0. Gaussian Geometry Decoherence
October 21, 2025 at 1:10 AM
In sPNP, inertia comes from the configuration-space geometry, so trajectories are geodesics. In Aharonov-Bohm setups with flat (ϵ≪1, slowly varying envelope) amplitude and no local Berry curvature, paths and travel time are unchanged; the enclosed flux shows up only as a global interference phase.
October 20, 2025 at 2:44 AM
Psi Spacetime correlation? Amplitude R gives static structure and Fisher–Rao spatial curvature. Phase gives motion, time flow, and QFI-phase curvature. Together they form a spacetime-like geometry in configuration space: R as space, S as time, with gravity emerging from their coupled curvature?
October 18, 2025 at 11:35 PM
Configuration space of relational distinctions. The Fisher metric measures distinguishability between configurations, which is relational. The geometry comes from the relations. R (geometry) and S (flow) are relational components of wave structure. Jacobi is motion relative to relational structure.
October 16, 2025 at 3:55 AM
Under the Fisher-Weyl geometry on configuration space (with gauge field 𝜙ᴵ = −∂ᴵ ln ρ), the quantum potential 𝑄[𝑋] is proportional to the Weyl scalar curvature 𝑅𝑊, satisfying 𝑄 = −(ℏ² ⁄ 16 𝑚) 𝑅𝑊. Q measures deviation. The integrated quantum correction energy equals (ℏ² ⁄ 8 𝑚) times the Fisher infor.
October 7, 2025 at 7:06 PM
DESI DR2’s evolving dark energy strengthens sPNP’s tachyon–Fisher model: the same curvature that yields quantum potential halos naturally drives dark-energy evolution. Observations align with sPNP’s unified, geometry-first cosmology. Fisher RG running remains perfectly compatible with the new data.
October 6, 2025 at 10:01 PM
sPNP (3N-6): Why Size Matters
If size/scale is quotient out completely, crucial information about the amplitude's absolute magnitude is lost. The quantum amplitude R(X) carries physical information that depends on scale. Quantum potential: Q ∝ (Δ_g R)/R depends on both the shape and magnitude of R.
September 14, 2025 at 11:51 PM
Probability distributions = shapes in the space of all possible distributions. Fisher metric = shape metric measures distinguishability between distributions (how much one distribution must be deformed to look like another). Shape space metric measures distinguishability between physical shapes.
September 14, 2025 at 10:27 PM
Is it cognitive dissonance that many physicists accept one piece of quantum weirdness (superposition) but reject its logical consequence, the non-local reality of the space where that weirdness lives (configuration space)? "oh you have to accept those qubits are in a superposition, both 1s and 0s."
September 12, 2025 at 10:48 PM
Fisher Computer: is computation as geodesic inference endowed with the Jacobi–Fisher metric. Instead of gates, the substrate implements dynamics whose natural geodesic flow concentrates Fisher information about problem parameters. The quantum potential appears naturally as a curvature-coupling term.
September 7, 2025 at 4:30 PM
sPNP: Any configuration indistinguishability, induces Fisher curvature-driven Bell-like correlations, even absent entanglement. The Bell violation is reading out geometry: measurement aligns with global Fisher curvature rather than requiring pre-assigned local values.
www.science.org/doi/10.1126/...
Violation of Bell inequality with unentangled photons
Violation of the Bell inequality can be achieved with quantum indistinguishability via path identity, instead of entanglement.
www.science.org
August 27, 2025 at 4:57 PM
Possible Turtle: LO curvature → Fisher curvature a clean projection (the symmetric expectation of the LO two-form → QFIM; imaginary part → Uhlmann curvature). Precise conditions (pure states; faithful ρ; Gaussian families). LO is noncommutative, QFI is commuting, Riemannian.
arxiv.org/pdf/2502.20055
arxiv.org
August 20, 2025 at 2:56 PM
Fisher Curvature (Interpretation-agnostic): Don't need sPNP pilot-wave assumption. Fisher manifold curvature as a universal geometry. Pick ontology.
Copenhagen/operationalist: statistical distinguishability metric for ensembles.
Many-Worlds: branching structure of amplitudes in configuration space.
August 20, 2025 at 3:30 AM
Quantum Fisher Information and the Curvature of Entanglement.
CoE = –QFI links QFI directly to entanglement dynamics, not just as a measure but as a geometric object. Demonstrates FI as a curvature-driving physical quantity shaping dynamics and correlations which sPNP posits
arxiv.org/pdf/2504.13729
arxiv.org
August 20, 2025 at 1:21 AM
7/23/25 Iyen et al "Quantum Fisher Information in Curved Spacetime: Dirac Particles in Noisy Channels around a Schwarzschild Black Hole". This work shows that QFI remains meaningful and operational when u: Combine spacetime curvature (a strictly general-relativistic effect) with quantum entanglement
August 19, 2025 at 6:13 AM
8/17/25 arXiv paper by Rupak Chatterjee. For sPNP, in symmetry-enhanced regimes (e.g., modular self-duality of the reduced state), the second-order response of modular overlap coincides with (minus) the quantum Fisher information, recovering sPNP's Fisher Curvature baseline
arxiv.org/pdf/2508.12497
arxiv.org
August 19, 2025 at 4:29 AM
Quantum NGD is the future. The Fisher Information Metric (FIM) tells you how your data feels. The Fubini–Study (FS) metric tells you how reality bends in Hilbert space. sPNP as the pilot, FS= the pure-state QFIM, the gold standard, and FIM is the control translating geometry into actionable steering
August 13, 2025 at 3:31 AM
This distilled version has small fraction of the math; notes on request. Asymptotic Lorentz invariance, UV complete, closed back-reaction two loops, quantum gravity unification, gauge anomaly cancellation, no free parameters, correct SM family structure, all ten PPN. drive.google.com/file/d/1H3Hj...
sPaceNPilottime(sPNP).pdf
drive.google.com
July 23, 2025 at 4:30 AM
The Jacobi-Fisher of sPNP saves Bohmian Mechanics with curvature?
Energy–speed relationship of quantum particles challenges Bohmian mechanics. Nature volume 643, pages 67–72.
whtwnd.com/philphi.bsky...
sPNP Tunneling resolves Sharoglazova's Bohmian Questions | Phil
Reconciling Sharoglazova et al. (2025) with the sPNP Jacobi–Fisher Tunneling Framework In their recent experiment, Sharoglazova et al. observed an unexpected increase in effective tunneling speed as ...
whtwnd.com
July 19, 2025 at 3:44 AM