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Piotr Ogonowski

Publications and source records attributed to Piotr Ogonowski.

5 recordsLinked to original sources

Protected Reconstruction from Codazzi Defects: Equianharmonic Quantization and a Minimal Standard-Model Carrier

Protected reconstruction is formulated for a codimension-three timelike Codazzi defect in a four-dimensional Lorentzian branch. The oriented rank-three normal geometry yields a primitive projective link and, after scalar traces are removed, a graded source $V_1[1]\oplus V_2[2]$. Its principal $SU(2)$ content identifies compact $A_2$, while Borel-Weil visibility and faithful central marking reconstruct the minimal $3+2$ carrier. Determinant and Clifford closure give $S(U(3)\times U(2))$, its global $\mathbb Z_6$ form, and $k_Y=5/3$. The equianharmonic Coxeter lattice supplies the three-point family torsor and the first primitive norm-seven commensurate class. In an Alena-Codazzi collar, structural reconstruction is separated from realization by projector, Riesz-response, Rees-Picard, Hodge, and neutral-relay residuals. The selected projector has an intrinsic polynomial certificate and reconstructs the packet $(1,4,5;7)$; the finite first two responses determine the primitive Rees geometry, while a global $2{:}3{:}5$ principal lift links family determinant holonomy with the projected weak-leg rate. After the marked operator gates are passed, one universal dimensionless scalar $u$ is fixed once and the remaining CKM, neutral, and PMNS quantities are evaluated without retuning. On the frozen reference branch, the downstream readings include $\delta_{\rm CKM}=65.36^\circ$ and $\Delta m_{21}^2/\Delta m_{31}^2=0.029655$. These values are retained as falsifiers of the completed branch rather than structural inputs. Absolute normalization and the global Riesz-Callias attachment remain separate.

physics.gen-ph

Developed Method. Interactions and their quantum picture

By developing the previously proposed method of combining continuum mechanics with Einstein Field Equations, it has been shown that the classic relativistic description, curvilinear description, and quantum description of the physical system may be reconciled using the proposed Alena Tensor. For a system with an electromagnetic field, the Lagrangian density equal to the invariant of the electromagnetic field was obtained, vanishing four-divergence of canonical four-momentum appears to be consequence of the Poyinting theorem, and explicit form of one of gauges of the electromagnetic four-potential was introduced. The proposed method allows for further development with additional fields.

physics.gen-ph

Proposed method of combining continuum mechanics with Einstein Field Equations

The article proposes an amendment to the relativistic continuum mechanics which introduces the relationship between density tensors and the curvature of spacetime. The resulting formulation of a symmetric stress-energy tensor for a system with an electromagnetic field, leads to the solution of Einstein Field Equations indicating a relationship between the electromagnetic field tensor and the metric tensor. In this EFE solution, the cosmological constant is related to the invariant of the electromagnetic field tensor, and additional pulls appear, dependent on the vacuum energy contained in the system. In flat Minkowski spacetime, the vanishing four-divergence of the proposed stress-energy tensor expresses relativistic Cauchy's momentum equation, leading to the emergence of force densities which can be developed and parameterized to obtain known interactions. Transformation equations were also obtained between spacetime with fields and forces, and a curved spacetime reproducing the motion resulting from the fields under consideration, which allows for the extension of the solution with new fields.

physics.gen-ph

Gravity as field - field oriented framework reproducing General Relativity

In the last article we have created foundations for gravitational field oriented framework (DaF) that reproduces GR. In this article we show, that using DaF approach, we can reproduce Schwarzschild solution with orbit equations, effective potential and constants of motion. Next we generalize results to other GR solutions and show, how gravitational field affects spacetime curvature and intrinsic spin of the bodies. It also appears, that field oriented approach requests to assign some spin value to the massless particles. Derived DaF framework has therefore significant meaning for searching for field based interpretation of gravity requested by quantum gravity.

physics.gen-ph

Maxwell-like picture of General Relativity and its Planck limit

We show that Geroch decomposition leads us to Maxwell-like representation of gravity in $(3+1)$ metrics decomposition that may be perceived as Lorentz invariant version of GEM. For such decomposition we derive four-potential $V^μ$ and gravitational field tensor $F^{μν}$ that is associated with gravitational interaction. Next we show that gravitational four-current $J^μ$ derived for introduced four-potential produce energy-stress tensor and reproduce main General Relativity formula. Next we introduce valid Lagrangian and equations of motion that explains obtained results. At the end we introduce new approach to quantization of gravity that results in proper quantum values and is open to further generalization.

physics.gen-ph