The XXI century cosmology

[1] Falcon, N. 2021. A large-scale heuristic modification of Newtonian gravity as an alternative approach to dark energy and dark matter. J Astrophys Astron 42. 102. https://link.springer.com/article/10.1007/s12036-021-09752-0

[2]Falcon, N. 2010. Theory MOND in a Friedmann-Robertson-Walker Cosmology as alternative to the nonbaryonic Dark Matter paradigm. ArXiv preprint 1007.3444v1http://arxiv.org/ftp/arxiv/papers/1007/1007.3444.pdf  

[3] Falcon, N. 2011. Modification of the Newtonian Dynamics through Generalization of Einstein's Cosmological Term as alternative to Dark Matter RMAA (C)  40, 11-12,    http://www.astroscu.unam.mx/~rmaa

[4] Falcon, N. 2017 Incorporation of Mach’s principle in FRW-Cosmology that depends dynamically of the distance range N. Falcon. RevMexAA (C), 49, 118–118.. http://www.astroscu.unam.mx/rmaa/RMxAC..49/PDF/RMxAC..49_oral68.pdf

[5] Falcon, N. 2021 The Mach's Principle and Large-scale Modification of Newtonian Gravitation as Alternative Approach to Cold Dark Matter and Dark Energy. (Pre-Print)  (doi: 10.20944/preprints202112.0239.v1). https://www.preprints.org/manuscript/202112.0239/v1

[6] Falcon, N. 2023, Modified Gravitation and Mach's Principle: An Alternative to the Dark Matter and Dark Energy Cosmological Paradigm-  Open Journal of Astronomy  1 (1): 000103. https://doi.org/10.23880/oaja-16000103

[7] Falcon, N 2001. La Constante Cosmológica: ¿Un error de Einstein?Falcón N. Einstein, La Teoría de la Relatividad y su contribución para la comprensión del Mundo Natural, Falcón, N. Ed. Vicerrectorado Académico UC. ISBN 980-233-311-5,  pp. 39-56.      

https://www.researchgate.net/publication/235344084_LA_CONSTANTE_COSMOLOGICA_UN_ERROR_DE_EINSTEIN

[8] Falcon, N. 2013. Modification of the Newtonian Dynamics in ᴧFRW-Cosmology an Alternative Approach to Dark Matter and Dark Energy.  Journal of Modern Physics 4,10-18, ISSN 2153-1196.  

http://file.scirp.org/Html/3-7501409_36069.htm

[9] Falcon, N. 2021 Un nuevo paradigma cosmológico: modificación a gran escala de la gravitación. Faraute, Vol. 16, No. (1-2): 05-12, https://servicio.bc.uc.edu.ve/facyt/vol16n1y2/art01.pdf

[10] Ramírez, L., Falcon, N. 2021 Fundamentos del Modelo Cosmológico FLRW : derivación Completa desde Relatividad General. FARAUTE,Vol.16,No.(1-2):84-96; https://servicio.bc.uc.edu.ve/facyt/vol16n1y2/art10.pdf

[11] Falcon, N., Aguirre, A.. 2014.Theoretical deduction of the Hubble law beginning with a MoND theory in context of the ΛFRW-Cosmology.  International Journal of Astronomy and Astrophysics  4: 551-559, http://dx.doi.org/10.4236/ijaa.2014.44051

[12] Falcon., N. 2017. A theoretical deduction from the Hubble law based on a modified Newtonian Dynamics with field of Yukawa Inverse N.  RevMexAA (C), 49, 177. http://www.astroscu.unam.mx/rmaa/RMxAC..49/PDF/RMxAC..49_poster35.pdf

[13] Falcon, N; 2008 Cúmulos de Galaxia y la Constante de Hubble From Exp. Faculty of Sc. (Ciencia) 16, 3, 323-327. http://produccioncientificaluz.org/index.php/ciencia/article/view/9868

[14] Falcón, N., Genova-Santos,R. 2009.The Sunyaev-Zeldovich Effect In Clusters of Galaxies and The Hubble Constant.  RevMexAA (C), 35, 215-216

 https://astronomia.unam.mx/journals/rmxac/article/view/2009rmxac..35..217f/pdf

[15] Falcon, N. Garcia, K. 2026. Cosmochronology of White Dwarfs and Cooling Time Due to Heat Waves. Int J Astrophys Cosmol Space Explor. 1(1), 01-11. https://glintopenaccess.com/IJACSE/Articles/IJACSE-26-04.pdf

[16] Falcon, N 2012. Mecànica Clàsica : Fìsica Teòrica en Formalismo de Lagrange, Hamilton y Hamilton-Jacobi. Ediciones de la Universidad de Carabobo Valencia  Junio

https://www.researchgate.net/publication/234719996_MECANICA_CLASICA_Fisica_Teorica_en_formalismos_de_Lagrange_Hamilton_y_Hamilton-Jacobi

[17] Falcon, N.  2025. Zwicky's Missing Mass: Dark Matter versus Modified Gravity. Open Journal  of Astronom  OAJA 3 (1): 000156 https://medwinpublishers.com/OAJA/article/10.23880/oaja-16000156/abstract

[18] Falcon, N.; Salas, D.; Navarrete, P. 2024. Constraining the Milky Way Dynamic Mass and Newtonian Gravity through the Proper Motion of Messier’s Globular Clusters. Open Journal  of Astronomy  2 (1): 000109. DOI: 10.23880/oaja-16000109. https://www.medwinpublishers.com/article-description.php?artId=12284

[19] Salas, D., Falcon, N. 2021.  Movimiento propio de los cúmulos globulares Messier: test de la gravedad newtoniana modificada. FARAUTE, Vol. 16, No. (1-2): 13-22, https://servicio.bc.uc.edu.ve/facyt/vol16n1y2/art02.pdf

[20] Falcon N. 2001. Espejos Gravitacionales: Pruebas de la Relatividad General  Einstein, La Teoría de la Relatividad y su Contribución para la Comprensión del Mundo Natural, Falcon, N. Ed. Vicerrectorado Académico UC. ISBN 980-233-311-5, pp. 145-155

https://www.researchgate.net/publication/235343488_ESPEJOS_GRAVITACIONALES_VERIFICACIONDE_LA_TEORIA_DE_LA_RELATIVIDAD_GENERAL

[21] Falcon, N. 2010. La Cosmología del Siglo XXI: Revisión Critica del BIG BANG y la Dinámica del Universo Observable. Fondo Editorial de la Asociación de Profesores de la  Univ. de Carabobo. ISBN 978-980-12-4385-4 Diciembre   107 Págs.

https://www.researchgate.net/publication/234113607_La_Cosmologia_del_Siglo_XXIRevision_Critica_del_Big_Bang_y_la_dinamica_del_Universo_Observable

[22] Pérez, L.; Ramírez, L.; Núñez, G.; Falcón, N. 2015. Masa y Longitud de Jeans a través de una dinámica Newtoniana Modificada con Campo de Yukawa Inverso  Acta Científica Venezolana, 66(4): 248-254 http://www.actacientificavenezolana.org.ve/assets/pdf/66/4/articulo11.pdf

[23] Ramírez, L., Pérez, L., Falcon, N. 2021 Formación de estructuras con gravedad modificada a gran escala con campo tipo Yukawa Inverso UYF. FARAUTE, Vol. 16, No. (1-2): 32-40, https://servicio.bc.uc.edu.ve/facyt/vol16n1y2/art04.pdf

[24] Lancaster, K.; Genova-Santos, R.; Falcon, N. et al . 2005. Very Small Array Observations of Sunyaev-Zel´dovich Efferct in Nearby Galaxy Clusters   MNRAS  359, 16-32.

https://ui.adsabs.harvard.edu/abs/2005MNRAS.359...16L/abstract

[25]Genova-Santos-R,  Rebolo,-R., Lancaster-K, Falcon-N et al. 2005. A Very Small Array search for the extended Sunyaev-Zel'dovich effect in the Corona Borealis supercluster MNRAS  363, 79-92. https://ui.adsabs.harvard.edu/abs/2005MNRAS.363...79G/abstract

[26] Brizuela, Manuel Falcon, Nelson 2026 Constraining the Extragalactic Background Light (EBL) using the 50-MGC Galaxy Catalog JANOLI International Journal of Physics ,  2 (1) Jan- 2026 –

https://janolijournals.com/index.php/jijp/article/view/323

[27] Ortega, A., Falcon, N.  2021. Dinámica de colisiones galácticas con gravedad newtoniana modificada, FARAUTE 16 (1-2):23-31. https://servicio.bc.uc.edu.ve/facyt/vol16n1y2/art03.pdf