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2025
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| Online Access: | https://doi.org/10.5281/zenodo.15815416 |
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| author | Beardsley, Ian |
| author_facet | Beardsley, Ian |
| contents | <p>In quantum mechanics the wave function squared is a probability density where in classical mechanics the density of the protoplanetary disc that gave rise to our Solar System is a classical quantity. Planets are classical objects with masses and their deBroglie wavelengths are absurdly small, making quantum effects negligible. Yet, I have a solution that works very well that is analogous to quantum solutions to the wave equation at every turn. The reason why is that several interesting assumptions are made that turn treating the surface density of the protoplanetary disc from which the planets formed as a classical field analogous to the probability density. As such we find reiteration of self-similar elements on the microscale (protons) to the macroscale (Solar System) and up to Cosmological aspects of the Universe, like the Big Bang. It is deeply interesting because the assumptions that make everything work have deep implications. Such assumptions would be that the conditions for the Moon perfectly eclipsing the Sun as seen from the Earth are part of the solution to a star system with an optimally habitable planet. That they are part of the Earth’s functional structure. As well as the Earth’s moon in size and mass is the scaling factor for the Earth’s orbit around the Sun, giving the Sun a size of 400 and yielding a base unit of time, a characteristic time for Solar System mechanics of 1 second. This has archaeological implications because the second comes ultimately from the Ancient Sumerians, who first settled down from wandering and gathering to invent writing, mathematics, and agriculture, and from the rotation period of the Earth which determines its day. We will see here that the second is also a characteristic time for the proton, and we use it to construct a theory for its inertia, its quality to push back when pushed on, giving it its mass. We will see that a Planck-type constant for the Solar System is given by the kinetic energy of the Earth, the third planet orbiting the Sun which is in the Goldilock’s zone for habitability allowing for water to exist in all three of its phases. We further find that the kinetic energy of the Moon tempered by the kinetic energy of the Earth gives a characteristic time of one second for the Earth’s current 24 hour day.<span> </span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15815416 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Schrödinger Equation as a Lagrangian Mechanics Solution to the Solar System and the Atom's Proton Beardsley, Ian <p>In quantum mechanics the wave function squared is a probability density where in classical mechanics the density of the protoplanetary disc that gave rise to our Solar System is a classical quantity. Planets are classical objects with masses and their deBroglie wavelengths are absurdly small, making quantum effects negligible. Yet, I have a solution that works very well that is analogous to quantum solutions to the wave equation at every turn. The reason why is that several interesting assumptions are made that turn treating the surface density of the protoplanetary disc from which the planets formed as a classical field analogous to the probability density. As such we find reiteration of self-similar elements on the microscale (protons) to the macroscale (Solar System) and up to Cosmological aspects of the Universe, like the Big Bang. It is deeply interesting because the assumptions that make everything work have deep implications. Such assumptions would be that the conditions for the Moon perfectly eclipsing the Sun as seen from the Earth are part of the solution to a star system with an optimally habitable planet. That they are part of the Earth’s functional structure. As well as the Earth’s moon in size and mass is the scaling factor for the Earth’s orbit around the Sun, giving the Sun a size of 400 and yielding a base unit of time, a characteristic time for Solar System mechanics of 1 second. This has archaeological implications because the second comes ultimately from the Ancient Sumerians, who first settled down from wandering and gathering to invent writing, mathematics, and agriculture, and from the rotation period of the Earth which determines its day. We will see here that the second is also a characteristic time for the proton, and we use it to construct a theory for its inertia, its quality to push back when pushed on, giving it its mass. We will see that a Planck-type constant for the Solar System is given by the kinetic energy of the Earth, the third planet orbiting the Sun which is in the Goldilock’s zone for habitability allowing for water to exist in all three of its phases. We further find that the kinetic energy of the Moon tempered by the kinetic energy of the Earth gives a characteristic time of one second for the Earth’s current 24 hour day.<span> </span></p> |
| title | The Schrödinger Equation as a Lagrangian Mechanics Solution to the Solar System and the Atom's Proton |
| url | https://doi.org/10.5281/zenodo.15815416 |