- Feb 24, 2025
- 19
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- 15
Hi everyone,
I've noticed with pleasure the growing number of threads on hypersphere cosmology. Although in 1917 Albert Einstein proposed a static model, the idea of a hypersphere cosmology, understood as a spatially closed, finite, and boundless universe, is historically attributed mainly to him.
This idea, with such illustrious origins, has been revisited by many since. However, I think it's important to emphasize that all the models I've seen differ substantially from one another. Therefore, rather than focusing on the idea that unites them, I believe it's crucial to examine the descriptions that distinguish them.
Having said that, I'm here to present a model that I myself have constructed. It wouldn't be practical to describe it exhaustively in a simple post, both due to its length and because it contains references to arXiv publications that I wouldn't be authorized to summarize here:
Concerning Galactic Recession, I have attempted to develop my own theory, of a speculative nature, and would be very interested in hearing your opinions here.
An introduction of my research was uploaded on viXra as PDF. The latest version of the document is always freely available to everyone, after you click the link: [viXra:2504.0144], on the viXra page (Download are free and require no registration; at the time of writing, all other cited documents, most of them from arXiv, are also freely accessible).
This submission aims to synthesize documents from diverse origins into a coherent and effective presentation for the reader's benefit.
That's the thing:
The recent observational capabilities of the James Webb Space Telescope (JWST) are opening new windows into the early universe, revealing distant galaxies whose apparent rapid formation poses significant questions to the standard ΛCDM cosmological model. Observations of galaxies at redshifts above 14 (see JADES-GS-z14-0), implying extremely old ages according to current FLRW metric-based distance assumptions, might stimulate a thorough reflection on fundamental cosmological principles. Will it be possible to explain all this without violating Hubble's law? But really, does violating the FLRW metric necessarily imply a violation of Hubble's law?
The Big Bang theory remains a robust and widely accepted paradigm. Nevertheless, any of its potential modifications could have profound implications for related fields, including Quantum Field Theory. This raises a fundamental question: is there a basic aspect that needs a conceptual revision? Although ΛCDM has achieved remarkable successes, many of its validations implicitly assume the FLRW metric. Could this dependence potentially introduce circular reasoning into model verification?
In this work, an alternative approach to the phenomenon of Galactic Redshift is proposed, offering a possible pathway for a careful modification of the ΛCDM model through the adoption of a non-FLRW metric. In this scenario, the Universe resides on the surface of a hypersphere expanding at a constant rate, with a radius growing as r = ct and with the Big Bang located at its center. This would explain why our physics manifests as if we were in a boundless system, despite the Universe having a finite volume: it suggests that, in the absence of Relativity, we would likely have been led to study an infinite and static universe.
While other models propose a hypersphere expanding with r = ct, an analysis of their main features reveals fundamental differences. The novelty of the model presented here lies in its definition of the Hubble constant: its geometry suggests a linear relationship between galactic recession and the arc angle (not the arc length). This perspective does not contest the validity of Hubble’s law, but introduces different predictions about the past and the future, which cannot be determined solely from current observations.
The use of the angle instead of the arc length produces significant implications, opening the possibility of applying Special Relativity to galactic recession. The redshift, which asymptotically approaches a time horizon of roughly 5 billion years after the Big Bang, implicitly explains why, at the boundaries of the observable Universe with JWST, we should not expect to see only "baby galaxies".
Specifically, the 4-Sphere framework, often considered part of alternative cosmologies, could potentially be reconciled with the Standard Model. Based on supernova distance measurements, I suggest that the dismissal of a Doppler-type redshift interpretation for Galactic Recession might warrant further and careful reconsideration.
I've noticed with pleasure the growing number of threads on hypersphere cosmology. Although in 1917 Albert Einstein proposed a static model, the idea of a hypersphere cosmology, understood as a spatially closed, finite, and boundless universe, is historically attributed mainly to him.
This idea, with such illustrious origins, has been revisited by many since. However, I think it's important to emphasize that all the models I've seen differ substantially from one another. Therefore, rather than focusing on the idea that unites them, I believe it's crucial to examine the descriptions that distinguish them.
Having said that, I'm here to present a model that I myself have constructed. It wouldn't be practical to describe it exhaustively in a simple post, both due to its length and because it contains references to arXiv publications that I wouldn't be authorized to summarize here:
Concerning Galactic Recession, I have attempted to develop my own theory, of a speculative nature, and would be very interested in hearing your opinions here.
An introduction of my research was uploaded on viXra as PDF. The latest version of the document is always freely available to everyone, after you click the link: [viXra:2504.0144], on the viXra page (Download are free and require no registration; at the time of writing, all other cited documents, most of them from arXiv, are also freely accessible).
This submission aims to synthesize documents from diverse origins into a coherent and effective presentation for the reader's benefit.
That's the thing:
The recent observational capabilities of the James Webb Space Telescope (JWST) are opening new windows into the early universe, revealing distant galaxies whose apparent rapid formation poses significant questions to the standard ΛCDM cosmological model. Observations of galaxies at redshifts above 14 (see JADES-GS-z14-0), implying extremely old ages according to current FLRW metric-based distance assumptions, might stimulate a thorough reflection on fundamental cosmological principles. Will it be possible to explain all this without violating Hubble's law? But really, does violating the FLRW metric necessarily imply a violation of Hubble's law?
The Big Bang theory remains a robust and widely accepted paradigm. Nevertheless, any of its potential modifications could have profound implications for related fields, including Quantum Field Theory. This raises a fundamental question: is there a basic aspect that needs a conceptual revision? Although ΛCDM has achieved remarkable successes, many of its validations implicitly assume the FLRW metric. Could this dependence potentially introduce circular reasoning into model verification?
In this work, an alternative approach to the phenomenon of Galactic Redshift is proposed, offering a possible pathway for a careful modification of the ΛCDM model through the adoption of a non-FLRW metric. In this scenario, the Universe resides on the surface of a hypersphere expanding at a constant rate, with a radius growing as r = ct and with the Big Bang located at its center. This would explain why our physics manifests as if we were in a boundless system, despite the Universe having a finite volume: it suggests that, in the absence of Relativity, we would likely have been led to study an infinite and static universe.
While other models propose a hypersphere expanding with r = ct, an analysis of their main features reveals fundamental differences. The novelty of the model presented here lies in its definition of the Hubble constant: its geometry suggests a linear relationship between galactic recession and the arc angle (not the arc length). This perspective does not contest the validity of Hubble’s law, but introduces different predictions about the past and the future, which cannot be determined solely from current observations.
The use of the angle instead of the arc length produces significant implications, opening the possibility of applying Special Relativity to galactic recession. The redshift, which asymptotically approaches a time horizon of roughly 5 billion years after the Big Bang, implicitly explains why, at the boundaries of the observable Universe with JWST, we should not expect to see only "baby galaxies".
Specifically, the 4-Sphere framework, often considered part of alternative cosmologies, could potentially be reconciled with the Standard Model. Based on supernova distance measurements, I suggest that the dismissal of a Doppler-type redshift interpretation for Galactic Recession might warrant further and careful reconsideration.
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