### I would greatly appreciate a harsh review of my SoP

Posted:

**Fri Nov 20, 2020 8:19 pm**Read my SoP and tear me a new one. Mandatory word limit: 1000 words. Thank you.

I am looking for what confines us.

I always wondered about the shape of the universe. Initially, I believed space was connected and finite and sought ways to explain this. Then, imagining space as the closed shell of a glome, I supposed the universe might exist in a background of more than three spatial dimensions.

From contemplations like these, I began to question why I could interact only with exactly three spatial dimensions. This question resonated within me profoundly. Suddenly, I realized that if I had no issues with the concept of potentially infinitely more spatial dimensions, then I should have no hang-ups with the idea of space being infinite. I began to favor a new outlook, one in which space was infinite and globally flat.

I attended X X University because I could commute and study physics there. During my first semester, my professor discussed LIGO’s recent evidence of gravitational waves from two black holes merging. I was intrigued.

Between schoolwork, I drew some conclusions regarding higher spatial dimensions. For instance, by rotating in a fourth spatial axis, one could be orientated into the appearance seen only in mirrors in our universe. I pondered higher dimensional oscillations analogous to the movement of a jump rope, which spiral through multiple planes.

Eventually, I began truly viewing time as a dimension. Currently, I believe time is indistinguishable from space such that, should the number of temporal and spatial dimensions be flipped, the universe would behave relatively the same. However, this does not address the apparent arrow of time, another inquiry paramount to our understanding of the big picture.

By making turns, one moving at constant speed could potentially take an infinite amount of time to arrive at a specific location a given distance away. However, the amount of time to reach this location has a lower limit.

Conversely, if there existed one spatial and three temporal dimensions, I believe the situation would be inversed. Moving at constant speed, one could travel a potentially infinite distance, by turning through temporal dimensions, to reach a specific point in time, a given duration from the initial moment. This duration is not the same as the amount of time elapsed by the traveler. Analogous to the imbalance that appears in our universe, in this hypothetical universe, there exists a minimum distance that must be traversed in order to reach a certain point in time, but no upper bound.

Should it be the case that time and space are truly of the same species, I beg a bold question. Why do we not observe any dimensions of parameters separate from time and space? If this question is naïve, then I seek education to alleviate ignorance.

My ultimate drive is to obtain a deep understanding of the reasons we observe exactly three spatial and one temporal dimension. I intend to study cosmology with specific interest for the geometry of the universe, the arrow of time, gravitational waves, and the theory of everything. I am also curious about black holes, the creation and fate of the universe, time crystals, and, to eliminate or validate my skepticism, string theory. Additionally, I enjoy mathematical physics and the exposure I have had to relativity and quantum mechanics. Unsurprisingly, I have a strong interest in the problem of time and addressing compatibility issues between general relativity and quantum mechanics.

I aim to become a theoretical physicist and physics professor, both to have some choice in the topics of my research pursuit and because I believe I would truly enjoy teaching. I am proficient at explaining content. The tiny physics program at XXU builds a sense of community and led me to the position of unofficial tutor. It is to everyone's benefit that we all work to build each other up. Academically, I benefited directly from the assistance of others and indirectly by teaching others. When a majority of students are struggling, courses run at slower paces and may reach less content. Furthermore, every person counts when trying to get advanced courses to meet enrollment requirements. For one course, I created a petition of interested students to help convince faculty to offer it.

Aside from physics, I am devoted to artwork and engrossed in mathematics. I independently investigated the Lonely Runner Conjecture, but later realized that some of my inferences were incorrect. In need of revision, the project was put on hold while other matters absorbed my time. Recently, I have been independently exploring the 3n+1 Conjecture. I began learning C++ to create a program to aid my advancement on this conjecture, having incentive to use a language faster than those I already knew. The program calculates in base-576 and yielded 13847 lines of data. My work in this conjecture also inspired my birth of an original card game, which I would look forward to playing with the Y community. Before attempting a formal document, I opted to express my ongoing progress with a colloquial explanation including figures, which is currently incomplete at 41 pages long. If requested, I would be happy to discuss this in greater detail.

A friend and I discussed an ambition to create our own scripting language, seeing a need for one that is both relatively fast and intuitive in design. It must be sufficient for both general and scientific purposes and possess the unusual ability to allow users to define new statements within their programs, akin to how one defines a function.

I lack solid opinions on the initial and final conditions of the universe, if any, but I am confident the instruction of faculty members such as Big Bounce advocate Dr. A and physical cosmology frontrunner Dr. B would enable development of my stance. Spacetime curvature, or, less widely-believed, the possible lack of curvature, and Einstein’s field equations allure me. Dr. C's work on the equations and gravitational waves captivates me. Only one institute in [the state] offers a doctorate in theoretical cosmology and it is the only one worldwide with these individuals.

I am looking for what confines us.

I always wondered about the shape of the universe. Initially, I believed space was connected and finite and sought ways to explain this. Then, imagining space as the closed shell of a glome, I supposed the universe might exist in a background of more than three spatial dimensions.

From contemplations like these, I began to question why I could interact only with exactly three spatial dimensions. This question resonated within me profoundly. Suddenly, I realized that if I had no issues with the concept of potentially infinitely more spatial dimensions, then I should have no hang-ups with the idea of space being infinite. I began to favor a new outlook, one in which space was infinite and globally flat.

I attended X X University because I could commute and study physics there. During my first semester, my professor discussed LIGO’s recent evidence of gravitational waves from two black holes merging. I was intrigued.

Between schoolwork, I drew some conclusions regarding higher spatial dimensions. For instance, by rotating in a fourth spatial axis, one could be orientated into the appearance seen only in mirrors in our universe. I pondered higher dimensional oscillations analogous to the movement of a jump rope, which spiral through multiple planes.

Eventually, I began truly viewing time as a dimension. Currently, I believe time is indistinguishable from space such that, should the number of temporal and spatial dimensions be flipped, the universe would behave relatively the same. However, this does not address the apparent arrow of time, another inquiry paramount to our understanding of the big picture.

By making turns, one moving at constant speed could potentially take an infinite amount of time to arrive at a specific location a given distance away. However, the amount of time to reach this location has a lower limit.

Conversely, if there existed one spatial and three temporal dimensions, I believe the situation would be inversed. Moving at constant speed, one could travel a potentially infinite distance, by turning through temporal dimensions, to reach a specific point in time, a given duration from the initial moment. This duration is not the same as the amount of time elapsed by the traveler. Analogous to the imbalance that appears in our universe, in this hypothetical universe, there exists a minimum distance that must be traversed in order to reach a certain point in time, but no upper bound.

Should it be the case that time and space are truly of the same species, I beg a bold question. Why do we not observe any dimensions of parameters separate from time and space? If this question is naïve, then I seek education to alleviate ignorance.

My ultimate drive is to obtain a deep understanding of the reasons we observe exactly three spatial and one temporal dimension. I intend to study cosmology with specific interest for the geometry of the universe, the arrow of time, gravitational waves, and the theory of everything. I am also curious about black holes, the creation and fate of the universe, time crystals, and, to eliminate or validate my skepticism, string theory. Additionally, I enjoy mathematical physics and the exposure I have had to relativity and quantum mechanics. Unsurprisingly, I have a strong interest in the problem of time and addressing compatibility issues between general relativity and quantum mechanics.

I aim to become a theoretical physicist and physics professor, both to have some choice in the topics of my research pursuit and because I believe I would truly enjoy teaching. I am proficient at explaining content. The tiny physics program at XXU builds a sense of community and led me to the position of unofficial tutor. It is to everyone's benefit that we all work to build each other up. Academically, I benefited directly from the assistance of others and indirectly by teaching others. When a majority of students are struggling, courses run at slower paces and may reach less content. Furthermore, every person counts when trying to get advanced courses to meet enrollment requirements. For one course, I created a petition of interested students to help convince faculty to offer it.

Aside from physics, I am devoted to artwork and engrossed in mathematics. I independently investigated the Lonely Runner Conjecture, but later realized that some of my inferences were incorrect. In need of revision, the project was put on hold while other matters absorbed my time. Recently, I have been independently exploring the 3n+1 Conjecture. I began learning C++ to create a program to aid my advancement on this conjecture, having incentive to use a language faster than those I already knew. The program calculates in base-576 and yielded 13847 lines of data. My work in this conjecture also inspired my birth of an original card game, which I would look forward to playing with the Y community. Before attempting a formal document, I opted to express my ongoing progress with a colloquial explanation including figures, which is currently incomplete at 41 pages long. If requested, I would be happy to discuss this in greater detail.

A friend and I discussed an ambition to create our own scripting language, seeing a need for one that is both relatively fast and intuitive in design. It must be sufficient for both general and scientific purposes and possess the unusual ability to allow users to define new statements within their programs, akin to how one defines a function.

I lack solid opinions on the initial and final conditions of the universe, if any, but I am confident the instruction of faculty members such as Big Bounce advocate Dr. A and physical cosmology frontrunner Dr. B would enable development of my stance. Spacetime curvature, or, less widely-believed, the possible lack of curvature, and Einstein’s field equations allure me. Dr. C's work on the equations and gravitational waves captivates me. Only one institute in [the state] offers a doctorate in theoretical cosmology and it is the only one worldwide with these individuals.