Wavefunction: *collapses* God forbid an electron has hobbies

The Wavefunction Opens Vortex Holes A 2D quantum harmonic oscillator is prepared as a superposition of exact eigenstates, Ψ(x,y,t)=Σcₙₘφₙ(x)φₘ(y)e⁻ⁱ⁽ⁿ⁺ᵐ⁺¹⁾ᵗ As the phases separate, the probability density surface |Ψ|² develops moving dark holes where the complex wavefunction vanishes, while the colour tracks arg Ψ and reveals the phase winding around each node. Every lobe, fold, and vortex comes directly from the analytic quantum evolution. #QuantumMechanics #Wavefunction #Physics #Mathematics #QuantumArt #ScienceVisualization

Magnetic Flux Turns a Torus Into a Wavefunction A quantum particle is confined to a torus, with magnetic flux threading through its two closed cycles. The eigenstates are twisted momentum waves, Ψₘₙ(u,v) = exp(i(mu nv)), but the flux shifts their energies to Eₘₙ = ½[(m−φᵤ)² (n−φᵥ)²], changing how the superposition beats over time. In this scene, the torus is the quantum configuration space. Its surface swells with |Ψ|², its colours follow arg Ψ, and the magnetic flux turns the wavefunction into a luminous braid wrapped around a multiply connected universe. #QuantumMechanics #MathematicalPhysics #Wavefunction #AharonovBohmEffect #QuantumArt #PhysicsVisualization

Thank you for the long answer. You ask what kind of metric I use. I base my argumentation on light traveltime because that result us the same if I interpret space as flat with refractive index or curved like normal GR. The underlying principles is that a particle needs to maintain its present coherence so that all corners of the particle remain together in the same level of simultaneity. Because every part is a component if the whole wavefunction with a rotation or spin of the particle, the density on one side has to increase. Imagine cars driving around in a big circle with one side slower allowed speed than the other side if the track. Each car will make the same loop time, but the cars are densely packed in the slow section and scarcely in the fast section. If that circle trac would be on a balance then the plane would shift... So, every component has its own variable traveltime over a section of its path. Since you understand the duality, I hope that you understand that it is easier to imagine it as variable speed. Based on this understanding of gravity, I have to conclude that also the center of balance of a particle, the center of mass, has to wiggle around with some probability around the center if the particle. Thus the resulting gravitational configuration is a time dependant function or gravitational wave. This carries away energy and lets the particle shrink. You ask about what radius I use. I don't care. I call it the relevant particle radius, because if outside of that radius the probability density function falls off with a steep or mild slope, that doesn't matter so much. The shrinking of the particle will scale the whole density function. So, mass linear with the diameter or radius is just a numerical factor. For the shrinking matter universe it is important that the effective mass scales with the diameter and not with the volume. Just take the Newtonian equation of stable circular orbit. F=GMm/r²=mV²/r If every mass is double and the orbit radius is double, then the orbit is stable with double orbital time, no speed change. That fits with observed redshift z=1. If the mass would shrink with the cube of the radius, all would be unstable. So, my explanation of gravity fits with a shrinking matter universe. Another issue is the mass problem with neutrinos. There are different versions of neutrinos and they can change their mass. If they have a thorous shape, like a donut, then the electric and magnetic lines can be closed while it has two diameters. One the diameter of the donut and one the thickness of the ring. So, depending on the orientation to the gravitational gradient, the effective mass of the same object is different. Could it be calculated? The mass depends on the radius and the particle wave function. We know the mass. We can measure that. We can get some indication of the diameter. From there we can get some information about the wave function. But that becomes complex if you think that a proton is the conglomerate of 3 quarks. Each quark is ⅓ of the group but not ⅓ of the mass. This, because a quark alone has a far smaller diameter and a different set of orbital components than it has inside a proton. Why is the gravitational force so much weaker than the other forces? Because it detects the difference in light traveltime over the distance of the proton diameter. To measure the Shapiro delay we got miliseconds for a sun fly by. That is a distance difference between earth radius and grazing just past the surface if the sun. So, yes that are small numbers and gravity has to be a weak force. But, in GR it is explained by curvature, and that is the same light traveltime. So, I don't go outside the GR equations.

The neutral-spin-state navigation is governed by a four-quadrant state space:State Designation Physical Interpretation Effect on Metric / Navigation 1 Positive Axial Flux ∇Δϕ>0\nabla \Delta\phi > 0\nabla \Delta\phi > 0 along narrow pole Directional acceleration / thrust vector −1 Negative Vector Balance Reversed flux (phase-locked loop inversion) Instant braking or reversal without surfaces 0 Active Metric Nullification Exact cancellation of net coupling (Poynting vector matches lattice frequency) Achieved zero net interaction with background spacetime (tightrope balance) −0 Ground-State Membrane Permanent boundary decoupling (Lonsdaleite outer shell locked) Complete isolation: no external forces penetrate; no internal leakage Transition between states is controlled by phase-locked-loop (PLL) parameters. The 0 state represents the dynamic “tightrope” balance; the −0 state is the absolute shielding ground state.Section 4: The Interaction Tensor Framework (IμνI_{\mu\nu}I_{\mu\nu} )To couple geometric phase gradients to spacetime curvature, an effective interaction tensor is introduced.4.1 Derivation from the Interaction LagrangianThe interaction tensor is obtained by metric variation of the interaction action: Iμν=−2−gδSintδgμν,Sint=∫Lint−g d4xI_{\mu\nu} = -\frac{2}{\sqrt{-g}} \frac{\delta S_{\rm int}}{\delta g^{\mu\nu}}, \quad S_{\rm int} = \int \mathcal{L}_{\rm int} \sqrt{-g} \, d^4xI_{\mu\nu} = -\frac{2}{\sqrt{-g}} \frac{\delta S_{\rm int}}{\delta g^{\mu\nu}}, \quad S_{\rm int} = \int \mathcal{L}_{\rm int} \sqrt{-g} \, d^4x 4.2 Wavefunction Dynamics of the Phase-Locked LatticeThe explicit interaction Lagrangian density for the collective phase-locked states ψi\psi_i\psi_i (Winter Lattice / Ruby Lattice modes) is: Lint=∑i[12gμν∂μψi∗∂νψi−V(∣ψi∣2)] ξR∑i∣ψi∣2\mathcal{L}_{\rm int} = \sum_i \left[ \frac{1}{2} g^{\mu\nu} \partial_\mu \psi_i^* \partial_\nu \psi_i - V(|\psi_i|^2) \right] \xi R \sum_i |\psi_i|^2\mathcal{L}_{\rm int} = \sum_i \left[ \frac{1}{2} g^{\mu\nu} \partial_\mu \psi_i^* \partial_\nu \psi_i - V(|\psi_i|^2) \right] \xi R \sum_i |\psi_i|^2 where:V(∣ψi∣2)V(|\psi_i|^2)V(|\psi_i|^2) = non-linear self-interaction potential of phonon/plasmon modes, ξ\xi\xi = non-minimal coupling constant to the Ricci scalar (R). This form mirrors scalar-tensor theories and yields IμνI_{\mu\nu}I_{\mu\nu} upon variation.Section 5: Conservation Laws and Stability Maintenance5.1 Enforcing Local Conservation and Divergence BalanceThe total stress-energy tensor satisfies: ∇μTμνtotal=0\nabla^\mu T_{\mu\nu}^{\rm total} = 0\nabla^\mu T_{\mu\nu}^{\rm total} = 0 with the partition: Tμνtotal=Tμνmatter TμνEM IμνT_{\mu\nu}^{\rm total} = T_{\mu\nu}^{\rm matter} T_{\mu\nu}^{\rm EM} I_{\mu\nu}T_{\mu\nu}^{\rm total} = T_{\mu\nu}^{\rm matter} T_{\mu\nu}^{\rm EM} I_{\mu\nu} 5.2 Mitigation of “Tightrope/Snap” VulnerabilityExpanding the divergence: ∇μTμνmatter ∇μTμνEM ∇μIμν=0\nabla^\mu T_{\mu\nu}^{\rm matter} \nabla^\mu T_{\mu\nu}^{\rm EM} \nabla^\mu I_{\mu\nu} = 0\nabla^\mu T_{\mu\nu}^{\rm matter} \nabla^\mu T_{\mu\nu}^{\rm EM} \nabla^\mu I_{\mu\nu} = 0 The interaction tensor IμνI_{\mu\nu}I_{\mu\nu} , anchored by the asymmetric boundary and phase-locked states ψi\psi_i\psi_i , absorbs high-frequency gradients. This prevents localized phase-slips that would trigger violent metric recoupling.The 0 / −0 states (Section 3) provide the operational mechanism: the system can deliberately enter the nullification or ground-state membrane to maintain stability under extreme loading.Section 6: Predicted Observable Signatures and VerificationObservable Signature Mathematical/Physical Mechanism Detection Methodology Step-function gravitational redshift Sharp metric transition at the ZNZ_NZ_N boundary membrane High-precision atomic clocks inside vs. outside the shell Directional inertial anisotropy mijeffective≠m0δijm_{ij}^{\rm effective} \neq m_0 \delta_{ij}m_{ij}