Deriving The Cosmological Constant Using First Principles
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2025
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| _version_ | 1866902246526025728 |
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| author | Landon Puritz |
| author_facet | Landon Puritz |
| contents | <p>This paper serves to update the previous document where I derived the cosmological constant using the fine structure constant as a modulator. Both derivations by definition resolve the same value, and calculate the exact cosmological constant to 1% accuracy. It has now become somewhat clear to me that the comological constant and cosmic energy density are two sides of the same mass radius convergence across volume space. It sounds somewhat strange, but mass at some point must become radius as it is what suffices the condition of a black hole emerging. Radius and mass are known to scale inversely, this is best demonstrated by the Compton wavelength formula where length as a unit scales inversely to mass. Because they both scale together, mass in a strange way is compressed vacuum radius that scales its own local radius inverse to its increased mass. More mass results in more compression of vacuum logic that was once bound across a maximal distance. That distance being modulated by c, possibly tying back to the famous mass energy formula down the road. After compression, the previous vacuum space then becomes bound into a local frame where it is between collapse and expansion, this is what I believe mass is. This knot forms because just like curvature emerging between two scaling axis, any mid point between two extremes will emerge structure eventually. That emergent structure between the Planck scale base and cosmic horizon is the cosmic density. As time progresses, like an arrow on a graph expanding it diagonally, the area will expand. This happens not like a line but a fractilizing cascade of possibilities folding into collapsed structure and then decreasing compression over time. All of this is a brief rundown of where the recursive framework is standing at the moment. There is much more to write but for now I'll continue with the derivations and brief explanations. But to put it brief, cosmic expansion is global fine structure balancing where compressed dimensional harmony as mass/energy density uncouples over time. Just as an electron sits as a maximally bound particle that is just stable enough to hold structure, so is our universe. The electron itself has a quantum velocity bound by α, meaning our universe may be resolving in accordance to the fine structure. Not as a particle per se, but as a collapsing outcome field bound by the fine structure globally and the speed of light locally. All constants would emerge as outcomes to a balanced process, meaning the fine tuning problem becomes a question of mapping the source that generated the constants as stable harmonics. And now everything inside begins to seem like a locally knotted delay in a globally balanced system. As a result, entropy becomes observer disorder in an ordered system. Ultimately, all structures would eventually emerge from the tension between the inner observer's ability to compress and the globally fractilizing yet deterministic rebalancing process that emerges the observer in the first place. </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15369221 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Deriving The Cosmological Constant Using First Principles Landon Puritz Fine structure Cosmology Physics Cosmological Constant Recursion <p>This paper serves to update the previous document where I derived the cosmological constant using the fine structure constant as a modulator. Both derivations by definition resolve the same value, and calculate the exact cosmological constant to 1% accuracy. It has now become somewhat clear to me that the comological constant and cosmic energy density are two sides of the same mass radius convergence across volume space. It sounds somewhat strange, but mass at some point must become radius as it is what suffices the condition of a black hole emerging. Radius and mass are known to scale inversely, this is best demonstrated by the Compton wavelength formula where length as a unit scales inversely to mass. Because they both scale together, mass in a strange way is compressed vacuum radius that scales its own local radius inverse to its increased mass. More mass results in more compression of vacuum logic that was once bound across a maximal distance. That distance being modulated by c, possibly tying back to the famous mass energy formula down the road. After compression, the previous vacuum space then becomes bound into a local frame where it is between collapse and expansion, this is what I believe mass is. This knot forms because just like curvature emerging between two scaling axis, any mid point between two extremes will emerge structure eventually. That emergent structure between the Planck scale base and cosmic horizon is the cosmic density. As time progresses, like an arrow on a graph expanding it diagonally, the area will expand. This happens not like a line but a fractilizing cascade of possibilities folding into collapsed structure and then decreasing compression over time. All of this is a brief rundown of where the recursive framework is standing at the moment. There is much more to write but for now I'll continue with the derivations and brief explanations. But to put it brief, cosmic expansion is global fine structure balancing where compressed dimensional harmony as mass/energy density uncouples over time. Just as an electron sits as a maximally bound particle that is just stable enough to hold structure, so is our universe. The electron itself has a quantum velocity bound by α, meaning our universe may be resolving in accordance to the fine structure. Not as a particle per se, but as a collapsing outcome field bound by the fine structure globally and the speed of light locally. All constants would emerge as outcomes to a balanced process, meaning the fine tuning problem becomes a question of mapping the source that generated the constants as stable harmonics. And now everything inside begins to seem like a locally knotted delay in a globally balanced system. As a result, entropy becomes observer disorder in an ordered system. Ultimately, all structures would eventually emerge from the tension between the inner observer's ability to compress and the globally fractilizing yet deterministic rebalancing process that emerges the observer in the first place. </p> |
| title | Deriving The Cosmological Constant Using First Principles |
| topic | Fine structure Cosmology Physics Cosmological Constant Recursion |
| url | https://doi.org/10.5281/zenodo.15369221 |