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Geometria Fractal-Dimensional

Abstract

Presentamos la Teoría DIM (Dinámica Infinitesimal de la Matriz del Espaciotiempo),un marco conceptual y matemático donde el tiempo, la gravedad y la estructuracósmica emergen de derivadas sucesivas de un campo escalar fundamental Φ(χ, xμ)definido sobre una extensíon fractal del espacio-tiempo. El estado inicial del universose identifica con un Vacío Derivativo Absoluto Φ0, donde todas las derivadas delcampo se anulan.Usando el grupo de renormalización funcional (FRGE) adaptado a un espacio fractal5D, demostramos que la teoría es ultravioletamente segura, con un punto fijono-gaussiano (λ∗, g∗) estabilizado por la reducción efectiva de la dimensión espectralds(k) → 2 en el ultravioleta. En el infrarrojo, el modelo converge dinámicamente haciaΦ0 gracias a un término de borde que amortigua la dinámica cuántica.La estructura log-periódica de Φ genera predicciones experimentales verificables enescalas submilimétricas y modulaciones observables en lentes gravitacionales y ondasgravitacionales. El modelo ofrece un cierre ontológico y matemático natural, y planteanuevas rutas hacia la unificación de la física fundamental.

Este poema que acompaña nace como una extensión resonante de una teoría científica: la del campo escalar Φ y su despliegue a través de derivadas dimensionales. Allí donde la matemática estructura , esta sinfonía busca transmitir lo que se intuye detrás de las ecuaciones. Para quienes no hablan el lenguaje del cálculo, pero sí el del asombro, este cántico ofrece una puerta emocional e intuitiva. No pretendo explicar: pretendo hacer sentir. Y así, ambos textos ---teoría y poesía--- se potencian y se reflejan, como el universo que se curva para verse a sí mismo.

Keywords

Fractals, dimensiones adicionales, Physical cosmology, gravedad

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green