The 5D-4D correspondence for the magnetic field

Maria C. Neacsu

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The 5D-4D correspondence for the magnetic field

Maria C. Neacsu

General Relativity and Quantum Cosmology · Submitted 17 Oct 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We obtained the translation between the effective 4D electromagnetic potential and the 5D gauge and scalar fields.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,144 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.72 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

5D theory is an alternative model for understanding gravitational and electromagnetic interactions together. In this work we used the correspondence between 5D Einstein field equations with cosmological constant and the 4D Einstein equations with sources. We started with the principal fiber bundle P(M/F,U(1)) metric and studied the case when the gauge potential Aa corresponds to the magnetic field: Aa =(0, 0, A3, 0). We identified the base-space with the space-time of two models of universe: the Robertson-Walker - like model and the Schwarzschild - like model. With this ansatz, we followed an algorithm that permits to express the magnetic field in terms of the gauge potential Aa and the scalar field F. This algorithm seems to work very well if the scalar field is time dependent. When we analyzed its dependence on other coordinates, new terms it comes out on the 5D field equations. We obtained the translation between the effective 4D electromagnetic potential and the 5D gauge and scalar fields.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	5D theory is an alternative model for understanding gravitational and electromagnetic interactions together.	background 1.00	0.05	0.03	asserted 1.00
s1	In this work we used the correspondence between 5D Einstein field equations with cosmological constant and the 4D Einstein equations with sources.	method 0.79	0.91	0.09	asserted 0.98
s2	We started with the principal fiber bundle P(M/F,U(1)) metric and studied the case when the gauge potential Aa corresponds to the magnetic field: Aa =(0, 0, A3, 0).	method 0.91	0.93	0.03	asserted 0.99
s3	We identified the base-space with the space-time of two models of universe: the Robertson-Walker - like model and the Schwarzschild - like model.	method 0.92	0.91	0.04	asserted 1.00
s4	With this ansatz, we followed an algorithm that permits to express the magnetic field in terms of the gauge potential Aa and the scalar field F.	method 0.98	0.91	0.09	asserted 0.96
s5	This algorithm seems to work very well if the scalar field is time dependent.	result 0.54	0.82	0.10	hedged possibility 0.93
s6	When we analyzed its dependence on other coordinates, new terms it comes out on the 5D field equations.	result 0.67	0.89	0.05	asserted 0.97
s7	We obtained the translation between the effective 4D electromagnetic potential and the 5D gauge and scalar fields.	result 0.97	0.95	0.53	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.86 · evidence from proof or derivation 1.00.

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Original abstract

5D theory is an alternative model for understanding gravitational and electromagnetic interactions together. In this work we used the correspondence between 5D Einstein field equations with cosmological constant and the 4D Einstein equations with sources. We started with the principal fiber bundle P(M/F,U(1)) metric and studied the case when the gauge potential Aa corresponds to the magnetic field: Aa =(0, 0, A3, 0). We identified the base-space with the space-time of two models of universe: the Robertson-Walker - like model and the Schwarzschild - like model. With this ansatz, we followed an algorithm that permits to express the magnetic field in terms of the gauge potential Aa and the scalar field F. This algorithm seems to work very well if the scalar field is time dependent. When we analyzed its dependence on other coordinates, new terms it comes out on the 5D field equations. We obtained the translation between the effective 4D electromagnetic potential and the 5D gauge and scalar fields.

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