Hi everyone,
I'd like to take this opportunity to mention that the model discussed here is the one described in the previous point and that it has been moved to the OSF project, which consists of Wiki pages and an essay, and is currently under development here: OSF | 4-Sphere-Cosmology.
Allow me a brief introduction: I would like to mention my model, which is distinguished by the addition of a spatial dimension.
The distances derived from the FLRW model are notably (perhaps excessively) high, and its unique ability to respect Hubble's law makes their challenge difficult. However, this difficulty disappears if the existence of an additional spatial dimension is considered.
In my model, the Universe lies on the surface of a hypersphere that expands at a constant rate, with its radius growing as r = ct, and with the Big Bang occurring at its center. This explains why our physics behaves as if we were in a boundless system, even though the Universe has a finite volume: it shows that, if not for Relativity, we would likely have been led to study an infinite and static universe.
Other models also propose a hypersphere expanding as r = ct, but when examining their main features, one can see they are fundamentally different from one another. The novelty of this model 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 challenge the validity of Hubble’s law; it merely changes predictions about the past and future, which cannot be determined purely from observations.
Using the angle instead of the arc length changes everything. It allows us to apply 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" (a widely debated topic).
Yes, we have introduced the fourth spatial dimension, but we can dispense with:
• Modifying the physics of radiation, meaning without assuming that spatial expansion alters the wavelength of light.
• Dark Matter (an element not yet detected in physics).
• Dark Energy (a form of energy not yet observed).
• The Horizon Problem—though introducing an alternative conjecture: after an initial expansion, the universe was static at the Last Scattering, and then expansion resumes.
Finally, the intention to adhere to the Big Bang model up to the Last Scattering (with some modifications, otherwise an alternative model could not work) significantly reduces many problems that a new model would normally encounter.
The topic discussed here could be titled:
The dismissal of a Doppler-type redshift interpretation for Galactic Recession may warrant further reconsideration.
The links provided in this post are essential for the discussion. I hope they align with the forum guidelines regarding external references. All linked downloads are free and require no registration; at the time of writing, all other cited documents are also freely accessible.
As a former IT developer, I prefer linking to original sources to ensure proper citation and copyright compliance. Just like when citing a book or an arXiv article, linking respects the authors’ rights and the associated licenses. By using a CC-BY-SA license for my work, I also ensure that cited research is properly attributed and used in accordance with its terms.
That said, I wish to share with you this research (without peer review), consisting of 3 papers, which analyzes a critical point potentially capable of challenging the fundamental assumptions of my alternative cosmological model:
- viXra: 2207.0051 - Concerning the Apparent Magnitude
- viXra: 2208.0040 - Concerning the Time Dilation of the Supernovae
- viXra: 2208.0152 - Star Distance Validation from Data of a High-Z Supernova Ia in the Special Relativity Context
This model calculates Galactic Recession within the framework of Special Relativity. The test on this supernova showed good model accuracy (96.5%) and suggests that the dismissal of a Doppler-type redshift interpretation for Galactic Recession may warrant further reconsideration.
I would like to emphasize that these publications have not undergone peer review. However, though certain steps may be disputed, the line of reasoning in the research is self-evident. The re-examination of the Doppler effect in the context of Galactic Recession is crucial for a more comprehensive understanding of Redshift. The latter, presenting an asymptote corresponding to 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 only “baby galaxies” (a widely discussed topic).
The model is described by the essay in Files tab (I recommend checking out the short paragraphs following the Abstract, marked as "4-SPHERE IN A NUTSHELL," which provide a concise summary of the key ideas).
However, given the complexity of my alternative model, which requires extensive treatment, I would suggest focusing our initial discussion on the independent validation of supernova distances. If this validation yields positive results, I would be more than willing to share the details of my model with those who wish to explore it further.
To ensure transparency I supply an Excel spreadsheet for independent verification of the calculations. While peer review could have been pursued, this method allows for direct confirmation (the values are easily identifiable). As you can see in [2208.0152], I have uploaded the Excel file on my OSF project as "Supernova SN1995 K validation.xlsx". You can access it in the Files tab.
The verification analysis of the regression polynomial requires a more elaborate approach. As you can see in [2208.0040], both the instructions for installing the necessary software (Windows), and the supernova data, can be found in my OSF Project Wiki Pages. You can access it in: (https://osf.io/y736c/wiki/Supernova%20validation%20m.s.%20extimation/). This involves using Python, and the small initial effort to configure its working environment is amply rewarded by the powerful functionalities that this platform offers in the scientific field (Visual Studio offers to developers the “Python Development Tool for Windows”).