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Paper Citation Record · LEDGER

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field

As of 16 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2506.22057.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.22057 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:26:53.249140Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:44:34.040568Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T18:44:35.644443Z

Reference resolution

67 of 67 outbound references displayed

  • verified exact0
  • verified fuzzy47
  • unresolved20
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7d21ed2b-cbe2-4c97-aec5-d05bcab28b0e · outbound

This paper cites Resolv- ing the gravitational redshift across a millimetre-scale atomic sample,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Resolv- ing the gravitational redshift across a millimetre-scale atomic sample,

Reference 1

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Observation 4373b512-5085-4151-b120-6e6609fa768d · outbound

This paper cites Gravitational redshift in quantum-clock in- terferometry,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Gravitational redshift in quantum-clock in- terferometry,

Reference 2

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e6f8e081-9ae6-4dfd-957a-b3cf078cf61d · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 3

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Unavailable: canonical work link unavailable.

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Observation 285d59d2-d751-436c-a09c-4f9bd4400382 · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation db385597-b757-4740-9079-e819c02a4897 · outbound

This paper cites Die Grundlage der allgemeinen Rela- tivit¨ atstheorie,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Die Grundlage der allgemeinen Rela- tivit¨ atstheorie,

Reference 5

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Observation d21386e0-aa65-4804-8296-54790d60ced7 · outbound

This paper cites ¨Uber das Relativit¨ atsprinzip und die aus demselben gezogenen Folgerungen,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field ¨Uber das Relativit¨ atsprinzip und die aus demselben gezogenen Folgerungen,

Reference 6

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b2691d7c-371b-4bae-9d8b-a5f0b5802a82 · outbound

This paper cites ¨Uber den Einfluß der Schwerkraft auf die Ausbreitung des Lichtes,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field ¨Uber den Einfluß der Schwerkraft auf die Ausbreitung des Lichtes,

Reference 7

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 0548b067-74ed-47d8-abc2-d1801334a909 · outbound

This paper cites Gravitational red-shift in nuclear resonance,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Gravitational red-shift in nuclear resonance,

Reference 8

Resolution
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Observation 621aae3a-f08d-480d-a903-ef390a0eab34 · outbound

This paper cites A gravitational redshift measurement of the white dwarf mass–radius relation,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field A gravitational redshift measurement of the white dwarf mass–radius relation,

Reference 9

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a761dc39-0a9c-4d12-81f4-db5865e46613 · outbound

This paper cites The gravita- tional redshift of Sirius B,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field The gravita- tional redshift of Sirius B,

Reference 10

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raw_fallback, observed 2026-08-06T22:27:01.512180Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 4a578698-8f82-4e85-8097-f0d38ff0d882 · outbound

This paper cites General relativistic effects on the orbit of the S2 star with GRA VITY,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field General relativistic effects on the orbit of the S2 star with GRA VITY,

Reference 11

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8d72a7bb-3820-4e38-9897-0e7d90fa2d3b · outbound

This paper cites The masses of isolated neutron stars inferred from the gravitational redshift measurements,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field The masses of isolated neutron stars inferred from the gravitational redshift measurements,

Reference 12

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e449d378-eb21-4a1a-a6c3-58c9ffaa5a71 · outbound

This paper cites Detection of the gravitational redshift in the orbit of the star S2 near the galactic centre massive black hole,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Detection of the gravitational redshift in the orbit of the star S2 near the galactic centre massive black hole,

Reference 13

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 84205186-38ff-42a9-a739-30df936bf28d · outbound

This paper cites Probing Post-Newtonian physics near the galactic black hole with stellar redshift measurements,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Probing Post-Newtonian physics near the galactic black hole with stellar redshift measurements,

Reference 14

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d5f3042e-929a-4265-b72e-f3302ff4711f · outbound

This paper cites The confrontation between general relativ- ity and experiment,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field The confrontation between general relativ- ity and experiment,

Reference 15

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d7c7a26c-83af-4a6b-b0fa-c0d922c85e24 · outbound

This paper cites A lab-based test of the gravitational red- shift with a miniature clock network,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field A lab-based test of the gravitational red- shift with a miniature clock network,

Reference 16

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3c9c4ba7-f676-40c4-bff8-c6193345dfdc · outbound

This paper cites Gravitational redshift tests with atomic clocks and atom interferometers,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Gravitational redshift tests with atomic clocks and atom interferometers,

Reference 17

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c9ee93da-493d-4222-a82e-e7cf0da2b423 · outbound

This paper cites Atom-interferometric test of the univer- sality of gravitational redshift and free fall,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Atom-interferometric test of the univer- sality of gravitational redshift and free fall,

Reference 18

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9122c584-12ec-40de-8499-aaeaf66506f1 · outbound

This paper cites The solar gravitational redshift from HARPS-LFC Moon spectra - A test of the general the- ory of relativity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field The solar gravitational redshift from HARPS-LFC Moon spectra - A test of the general the- ory of relativity,

Reference 19

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8cedc6e8-6615-47f8-b227-5326c6a56e0f · outbound

This paper cites Test of the gravitational redshift with galileo satellites in an eccentric orbit,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Test of the gravitational redshift with galileo satellites in an eccentric orbit,

Reference 20

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 41ab6e95-96ed-4acf-ba1f-bdc7d2e320ba · outbound

This paper cites Gravita- tional redshift test using eccentric Galileo satellites,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Gravita- tional redshift test using eccentric Galileo satellites,

Reference 21

Resolution
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raw_fallback, observed 2026-08-06T22:26:58.664366Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 07a6f11a-f925-4400-9c5b-390264e76bfa · outbound

This paper cites Analysis of Sun/Moon gravi- tational redshift tests with the STE-QUEST space mis- sion,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Analysis of Sun/Moon gravi- tational redshift tests with the STE-QUEST space mis- sion,

Reference 22

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6bf123f6-e9ea-4d74-b306-bd006b0b6597 · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a10b8dc4-4662-4687-8952-58db4ea4db39 · outbound

This paper cites One-electron atom in curved space-time,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field One-electron atom in curved space-time,

Reference 24

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raw_fallback, observed 2026-08-06T22:26:58.137169Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8196d1fa-4437-401b-bfd7-81b7c5954445 · outbound

This paper cites Gravitational perturba- tion of the hydrogen spectrum,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Gravitational perturba- tion of the hydrogen spectrum,

Reference 25

Resolution
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raw_fallback, observed 2026-08-06T22:26:57.918140Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d2cae5ab-509e-4b9e-8047-a9c9d6863a64 · outbound

This paper cites High-frequency gravitational wave detection via opti- cal frequency modulation,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field High-frequency gravitational wave detection via opti- cal frequency modulation,

Reference 26

Resolution
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raw_fallback, observed 2026-08-06T22:26:57.781676Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e0c84f5e-6624-4265-b6cf-1a01e159a19b · outbound

This paper cites The effects of gravitational waves on a hydrogen atom,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field The effects of gravitational waves on a hydrogen atom,

Reference 27

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9193f73e-a9f9-43d9-860f-bf84d48a56d8 · outbound

This paper cites Search for high- frequency gravitational waves with Rydberg atoms,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Search for high- frequency gravitational waves with Rydberg atoms,

Reference 28

Resolution
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raw_fallback, observed 2026-08-06T22:26:57.479218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation aa41da71-6597-4193-ab39-c249f8414aae · outbound

This paper cites Mission design for the laser astrometric test of relativity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Mission design for the laser astrometric test of relativity,

Reference 29

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raw_fallback, observed 2026-08-06T22:26:57.333289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a292bcce-1a01-4e0f-aada-f4802aabeae8 · outbound

This paper cites Advancing fundamental physics with the laser astrometric test of relativity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Advancing fundamental physics with the laser astrometric test of relativity,

Reference 30

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raw_fallback, observed 2026-08-06T22:26:57.221426Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a71ed5e0-78cd-4e37-8fb9-ebdb9b507ba7 · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 31

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9dbcba82-1482-4c2d-b078-e2727d7a9f7f · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.173889Z digest=sha256:40f7fbcd1452e01bda93e12464b868658ecfec82c679a1a5d3a0675ce9c24f18

Observation cf3467f3-c512-435e-b9b8-725ac09e8792 · outbound

This paper cites Mach’s principle and a rel- 8 ativistic theory of gravitation,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Mach’s principle and a rel- 8 ativistic theory of gravitation,

Reference 33

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raw_fallback, observed 2026-08-06T22:26:56.860265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.206564Z digest=sha256:2983781eb146c1f82981b9d75cc0a76f098fdcc8a638258727a56baf83969089

Observation c93a908a-cefd-4840-8368-ffebc7799892 · outbound

This paper cites f(R) gravity with torsion: the metric-affine approach,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field f(R) gravity with torsion: the metric-affine approach,

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:56.778552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.244682Z digest=sha256:ab87d4de391642e15d4d7337816ece4649f21eb96bdd7028c91d3b44cbd844db

Observation a357aa83-e645-48a9-a9df-5111549bdeea · outbound

This paper cites A bird’s eye view of f(R)-gravity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field A bird’s eye view of f(R)-gravity,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:56.686298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.270779Z digest=sha256:8a22084d67776695de77b2c19395649077fa4ec4bec0fb4102589fb47c487f74

Observation f65a4514-7bb4-45cd-993d-8389c5702204 · outbound

This paper cites Resum- mation of massive gravity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Resum- mation of massive gravity,

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:56.589824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.311398Z digest=sha256:35b985fd9b383b20ad3e4b470df39354ffc84790e1e0be387f5d8cbf39b00473

Observation f0bd8afd-0afb-43dc-b1b2-b7ed1e82067f · outbound

This paper cites Born–Infeld inspired modifications of gravity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Born–Infeld inspired modifications of gravity,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:56.462152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.352004Z digest=sha256:19e45ad1aabd20aa5485b94d83ac073e86a23710a3d6cf45960edba07db39c38

Observation 98f9edbb-ca70-4ea4-b643-c32b003a4775 · outbound

This paper cites Light deflection and gravitational lensing effects inspired by loop quantum gravity.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Light deflection and gravitational lensing effects inspired by loop quantum gravity

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:51.386928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:51.386928Z digest=sha256:3d704c86c8e4a986b90c5bbe8f7433e1eab7128a0bd4455792d5c95caa0591b0

Observation c78a8a01-5db4-4e05-8b2b-8d14bd322190 · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:51.415040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:51.415040Z digest=sha256:c6354e94172671016e87bd70e53e8404cf7e71c789e986cc0957db12f1c5a624

Observation e88e4156-89b6-44ef-a6aa-3de886b066b2 · outbound

This paper cites Quantum fields in teleparallel gravity: renormalization at one-loop,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Quantum fields in teleparallel gravity: renormalization at one-loop,

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:51.450663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:51.450663Z digest=sha256:7390518f38628135af5f2cb824b960af3e1f5010aa5973fe724578b694a8e1a5

Observation a558cded-da36-4b44-9dae-117f6019e69e · outbound

This paper cites General relativity as an effective field theory: The leading quantum corrections,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field General relativity as an effective field theory: The leading quantum corrections,

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:51.487800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:51.487800Z digest=sha256:02e889792405271511b0c02876f46cfd44ffc4a512a33ccf6876a16411ef5af5

Observation 69e63feb-c9fb-458a-a3f7-5eae4014f99a · outbound

This paper cites Infrared behavior of graviton-graviton scattering,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Infrared behavior of graviton-graviton scattering,

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:56.288523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.524251Z digest=sha256:57d6956a882a16cf3c3fc7ad879f5df3215ebc4a1b8b62890f5a31b09ac2bffb

Observation c3373859-afff-4f66-8567-7e4e6218e1e0 · outbound

This paper cites Quantum corrections to the Reiss- ner–Nordstr¨ om and Kerr–Newman metrics,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Quantum corrections to the Reiss- ner–Nordstr¨ om and Kerr–Newman metrics,

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:51.563745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:51.563745Z digest=sha256:7b4e93667aebad885dc6edbe7a6a8b0486521f7cb40e57342815d3cc39f06164

Observation 7c3b454e-5209-4455-a683-a658a78cec1d · outbound

This paper cites Renormalization of higher-derivative quan- tum gravity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Renormalization of higher-derivative quan- tum gravity,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:56.047311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.592743Z digest=sha256:bb948e1706c911d60dec75c56936025b1be266afebaa42a62d71ae455e0464fa

Observation 896e2f60-508a-4611-ad73-c7f97ac0aa25 · outbound

This paper cites The quantum theory of gravi- tation, effective field theories, and strings: yesterday and today,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field The quantum theory of gravi- tation, effective field theories, and strings: yesterday and today,

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:55.950813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.635684Z digest=sha256:2cd71eea005ec038f085d5e20d82bb6237ad1eb07c8222ee153a513c554e354f

Observation de49b9df-2874-4636-a7be-3a3ac7d8b06e · outbound

This paper cites Becker, M.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Becker, M

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:55.872770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.681627Z digest=sha256:6486fcb611415a968d2bb96d0300ffd18d5023afda34e707ad7089fc20905845

Observation a0f1c2ef-7733-47e5-8ee1-2491a57bd4fa · outbound

This paper cites Dine, Supersymmetry and String Theory, Cambridge University Press, Cambridge (2007).

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Dine, Supersymmetry and String Theory, Cambridge University Press, Cambridge (2007)

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:55.800810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.747590Z digest=sha256:d5974514607e9f73f6ec3c26372ba4d8e7df9e525cd2f2ea8006dc29a810d536

Observation 611768f3-8e63-43ce-ae7b-c8fa0b9601c8 · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:26:55.658098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.810423Z digest=sha256:bb97ce7b219be2caf0d3d361115faf8d0f91597163a2886b90e29770f7fb9bf2

Observation 224512e6-b97b-43c4-80b8-78b7a5bed129 · outbound

This paper cites New variables for classical and quantum gravity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field New variables for classical and quantum gravity,

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:51.865671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:51.865671Z digest=sha256:61a388220d1dd4eff35d9ac515d0652e47ffaedfda23f85e9f38b1dfb3df5769

Observation d5b98313-44e9-4942-b376-a8b8723ee999 · outbound

This paper cites Nonperturbative quantum geometries,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Nonperturbative quantum geometries,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:55.521978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:51.939308Z digest=sha256:37484c163ac8d2e3bba8f586ac60a3897539dfa6f425b353bb44c845dbbde959

Observation 84d13712-f7cb-4e5b-9031-dadc721ab9f4 · outbound

This paper cites Loop space representation of quantum general relativity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Loop space representation of quantum general relativity,

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:55.365356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:52.027535Z digest=sha256:5cd202a1662a761b69ce80acf5d8f90a993982f9b342853bbd7b71dce88ae03a

Observation 63220ca0-62f4-4d13-adcd-38f502e73d84 · outbound

This paper cites Loop quantum gravity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Loop quantum gravity,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:55.187613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:52.104598Z digest=sha256:a4f70b06aa306649962ce17eb42011ce653061cb1355ae3bb6af829c78fe59d1

Observation 9f377f9e-0f95-4577-8211-b84cd00878dc · outbound

This paper cites Gravity generated by four one-dimensional unitary gauge symmetries and the Stan- dard Model,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Gravity generated by four one-dimensional unitary gauge symmetries and the Stan- dard Model,

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:55.097176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:52.133907Z digest=sha256:24cf4652251611ca5dbe0f0780dddf289e08b08275fa4735883f5c3ea36e8afd

Observation 69b2f4e9-06e9-4024-b32f-403c2acc6c1e · outbound

This paper cites Teleparal- lel gravity: from theory to cosmology,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Teleparal- lel gravity: from theory to cosmology,

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:54.877609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:52.221824Z digest=sha256:a8757841b1dddf75858f9a5af4d5454eaca59ad9afe7d2c00976503698f93fa7

Observation 64f4615c-a7c5-4617-b0ba-8822d9051b33 · outbound

This paper cites Aldrovandi and J.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Aldrovandi and J

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:52.337769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:52.337769Z digest=sha256:67d742a40a3493220e6dc6fb9b84483abd6778097cec4dea02ebe9bea91f8263

Observation 304b8b1d-1fb6-48de-aec0-8cce621e6ba3 · outbound

This paper cites The teleparallel equivalent of general rel- ativity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field The teleparallel equivalent of general rel- ativity,

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:52.409341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:52.409341Z digest=sha256:618646f786b3cc8d2a9365ce14677342400ea727386ad26a05e48cb400a0965b

Observation f482b77c-1d62-404f-86dd-3ed1a04404e2 · outbound

This paper cites Light deflection in unified gravity and measurable deviation from general relativ- ity,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Light deflection in unified gravity and measurable deviation from general relativ- ity,

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:52.458278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:52.458278Z digest=sha256:f72cfd487c152b44f50ba313af74624fdd2200e9619063358d504a5f8b403d7d

Observation 74ccf3b9-da33-47e0-ae0d-ca0d374ccb7e · outbound

This paper cites Perihelion precession of planetary orbits solved from quantum field theory.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Perihelion precession of planetary orbits solved from quantum field theory

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:52.528255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:52.528255Z digest=sha256:05effe53c4f22dcb52dd810bc711367ab933409e411e7d938d084251402a81bc

Observation 914791a2-1fc1-4043-9976-54ee56d3cbc5 · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:26:54.532578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:52.590936Z digest=sha256:f50f9087864466a27ad1174c53798ac0050ce350d967aea9cc152959c77f7b02

Observation a73d5e78-350b-4ca7-a7b9-5e3c5b715d2b · outbound

This paper cites Corrigendum: Gravity gen- erated by four one-dimensional unitary gauge symme- tries and the Standard Model (2025 Rep. Prog. Phys. 88 057802),.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Corrigendum: Gravity gen- erated by four one-dimensional unitary gauge symme- tries and the Standard Model (2025 Rep. Prog. Phys. 88 057802),

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:54.392473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:52.666347Z digest=sha256:8cfc836c6946589af32dc3909893a1905413cdc4036674c279647a9d53e36969

Observation 4b893edc-a2e9-49a8-b927-7724b787015b · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:52.756917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:52.756917Z digest=sha256:fc31bc048dc27076ec02c3b6f84ccf94cb82c109c1cb5f9e686db173c1a1b425

Observation 30997364-d1f7-4ee4-833c-2aa821009670 · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:26:54.286860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:52.834103Z digest=sha256:9aab8c80b58f7dc5bee0e191e2e038392dd13624e12abd5cabc5dd2e9d8f9a26

Observation a1d9a666-4b2f-4c07-8ebb-a9dd82c5804a · outbound

This paper cites an unresolved cited work.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Unresolved cited work

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-06T22:26:52.922362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:26:52.922362Z digest=sha256:fc91c4e9cb8fe5d1b0b8f9cab4a410d376fe8da8051f85a17da4b94f7fd474bb

Observation 7353fd8a-e079-4e27-9d25-d5e58c278cc9 · outbound

This paper cites Gravitational light deflection in Earth- based laser cavity experiments,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Gravitational light deflection in Earth- based laser cavity experiments,

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:54.100437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:53.006906Z digest=sha256:88324190ca9344dcf2e4647b50dca62005603aff601aa16e863b999f00e05d5a

Observation 551bbb10-e8ce-4001-be75-bd2afb80d6c8 · outbound

This paper cites Observation of gravitational waves from a binary black hole merger,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Observation of gravitational waves from a binary black hole merger,

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:53.915235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:53.088172Z digest=sha256:b21296f2e4b71d8ccced887ea738b9297d906b45a11935671f5941fa792ec8c8

Observation b1156296-5294-4d77-8649-355e3d7bf625 · outbound

This paper cites Tests of general relativity with GW150914,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Tests of general relativity with GW150914,

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:53.745489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:53.179167Z digest=sha256:7eeb1073ebb3a0687455f3b7ff44702a30f8043a9221c1bcbeada03c97a6129d

Observation 6fcc68ce-1ddd-499e-a3ad-5db7c1140110 · outbound

This paper cites Multi-messenger observations of a binary neutron star merger,.

Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field Multi-messenger observations of a binary neutron star merger,

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:26:53.492698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:26:53.249140Z digest=sha256:a94b4715ef1811e93c737813f81711b57f1fe90cb5a73c443fbd55cc1fb08289

Pith citing papers

Observation 3153decf-99fe-42c1-89e6-033c2c66815e · inbound

Extending unified gravity to account for graviton-graviton interaction cites this paper.

Extending unified gravity to account for graviton-graviton interaction Atomic Dirac energy-level dynamics and redshift in the 4xU(1) gravity gauge field

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:44:35.736362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T18:44:34.040568Z digest=sha256:5f11c7a12f93a35e2bf3673b788df3cb9954afeb1e562d539093db39d213e888