Paper Citation Record · LEDGER

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution

As of 22 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2506.08254.

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pith.paper-citation-record.v1
2506.08254 v1

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Source: arxiv_reference, observed 2026-05-10T10:29:25.372045Z

Reference resolution

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Outbound references

Observation 5c720fc1-9742-4812-8869-2af3f2d92aac · outbound

This paper cites an unresolved cited work.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 1

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This paper cites This metric characterizes a Universe that is both homogeneous and isotropic, undergoin g evolution through expansion or contraction [31].

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution This metric characterizes a Universe that is both homogeneous and isotropic, undergoin g evolution through expansion or contraction [31]

Reference 2

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This paper cites an unresolved cited work.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 3

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 4

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This paper cites Then, ˜ut = ±v, where v can be identiﬁed with the speed of light in vacuum.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Then, ˜ut = ±v, where v can be identiﬁed with the speed of light in vacuum

Reference 5

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This paper cites (17) The corresponding aﬃne connections is outlined in Eq.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution (17) The corresponding aﬃne connections is outlined in Eq

Reference 6

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 7

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 8

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 9

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This paper cites Before we proceed to the numerical results, it is important t o highlight several considerations regarding the numerical estimation of C(x, p) as indicated in Eq.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Before we proceed to the numerical results, it is important t o highlight several considerations regarding the numerical estimation of C(x, p) as indicated in Eq

Reference 10

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This paper cites Hawking and George F.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Hawking and George F

Reference 11

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Misner, K

Reference 12

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This paper cites Stephani and J.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Stephani and J

Reference 13

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 14

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This paper cites T urning big bang into big bounce.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution T urning big bang into big bounce

Reference 15

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 16

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Turning big bang int o big bounce: II

Reference 17

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Novello and S.E

Reference 18

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Relativity and Modern Physics

Reference 19

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

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This paper cites On Possible Minimal Length Deformation of Metric Tensor, Levi-Civita Connectio n, and the Riemann Curvature Tensor.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution On Possible Minimal Length Deformation of Metric Tensor, Levi-Civita Connectio n, and the Riemann Curvature Tensor

Reference 26

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Stuchlik

Reference 27

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This paper cites Alshehri, and Antonio Pasqua.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Alshehri, and Antonio Pasqua

Reference 28

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Dabash, Tarek S

Reference 30

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Farouk, F

Reference 31

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Alshehri, and Prabir Kr Haldar

Reference 32

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Tawﬁk and T

Reference 33

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 34

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Singular state in relativistic cosmology

Reference 35

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Dabash, and Azzah Elshehri

Reference 37

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Discretized Finsler Structure: An Appro ach to Quantizing the First Fundamental Form

Reference 38

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution On possible quantization of the fundamen tal tensor in the relativistic regime

Reference 39

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution On quantum-induced revisiting Einstein te nsor in the relativistic regime

Reference 40

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Farouk, F

Reference 42

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Relativistic generalized uncertainty principle for a test particle in four-dimensional spacetime

Reference 43

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Quantum geometry

Reference 44

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Tsamparlis and Th

Reference 45

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Lema ˆ ıtre

Reference 46

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Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Misner and David H

Reference 47

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This paper cites Some new solutions of the einstein equations of astr ophysical interest.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Some new solutions of the einstein equations of astr ophysical interest

Reference 48

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This paper cites A Relativistic Toolket, The Mathematics of Black-Ho le Mechanics.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution A Relativistic Toolket, The Mathematics of Black-Ho le Mechanics

Reference 49

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This paper cites Our Understanding on Landau-Raychaudhuri Cosmology.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Our Understanding on Landau-Raychaudhuri Cosmology

Reference 52

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This paper cites Gravitational collapse and space-time singular ities.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Gravitational collapse and space-time singular ities

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T05:24:48.822726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 400f94b4-edcc-4ebf-9ca7-f5f3a4026abd · outbound

This paper cites Hawking and G.F.R.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Hawking and G.F.R

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:24:49.436636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9c4f984b-984e-403c-95cc-f483c1792d03 · outbound

This paper cites Chokyi, Surajit Chattopadhyay, and Abdel Nasse r Tawﬁk.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Chokyi, Surajit Chattopadhyay, and Abdel Nasse r Tawﬁk

Reference 55

Resolution: verified exact; doi, observed 2026-08-07T05:24:48.935222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 527183f0-dbed-4e44-8135-2fa506b538f9 · outbound

This paper cites an unresolved cited work.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 57

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:24:49.427991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ee3db589-f338-4efd-9c18-c3d302e792b7 · outbound

This paper cites Maximal proper acceleration and the struct ure of spacetime.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Maximal proper acceleration and the struct ure of spacetime

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:24:49.417016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4871c35a-cfd9-44aa-a988-2c8c5c76e38c · outbound

This paper cites an unresolved cited work.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-07T05:24:48.843970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e692e9f-d415-4d48-b0a2-4b3e5c3b2a78 · outbound

This paper cites an unresolved cited work.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 61

Resolution: verified exact; doi, observed 2026-08-07T05:24:48.905233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bd5156fd-4555-4eee-acaa-913a352b81e1 · outbound

This paper cites Randers Metrics with Special Riemann Curvature Properties , pages 77–89.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Randers Metrics with Special Riemann Curvature Properties , pages 77–89

Reference 62

Resolution: malformed identifier; no resolver link, observed 2026-08-07T05:24:48.849597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb756d82-57bd-4057-8e25-80e0936a861c · outbound

This paper cites ¨Uber die geometrischen grundlagen der lorentzgruppe.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution ¨Uber die geometrischen grundlagen der lorentzgruppe

Reference 63

Resolution: verified exact; doi, observed 2026-08-07T05:24:48.890948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 25b89bc1-31f5-475a-98ea-2216c4d5af02 · outbound

This paper cites Gupta Choudhury, A.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Gupta Choudhury, A

Reference 64

Resolution: malformed identifier; no resolver link, observed 2026-08-07T05:24:48.855149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce33eff9-11fb-4c11-bc35-77b40ebe6814 · outbound

This paper cites an unresolved cited work.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 1933

Resolution: unresolved; no resolver link, observed 2026-08-07T05:24:48.726805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4d4e20c-319b-46f7-94fa-20a3dda41e62 · outbound

This paper cites an unresolved cited work.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 1973

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:24:49.547390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f85f2e0d-8244-4536-9a99-84c9fbcd4246 · outbound

This paper cites an unresolved cited work.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-07T05:24:48.770746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 927ea859-be35-414e-afaa-321fd07053f4 · outbound

This paper cites an unresolved cited work.

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution Unresolved cited work

Reference 2025

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T05:24:49.408382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation 1cc2efa9-1624-4388-abdb-0b16f2e45d4b · inbound

Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime cites this paper.

Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution

Reference 69

Resolution: verified exact; arxiv_id, observed 2026-05-10T10:29:25.373372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.