Shadows as Encodings of Higher-Dimensional Information: A Euclidean Treatise
Creators: name: Adalgeovany Caceres, Geo; ad infiniti
Publisher: name: Zenodo
Year: 2025

description: In about a weeks worth of time and some 2 weeks after my last paper:

 

Problem Statement: We investigate the geometric nature of shadows and show that they encode higher-dimensional information. In particular, we will prove rigorously (using classical Euclidean geometry) that a three-dimensional object’s shadow on a plane retains enough structural information to reconstruct a near one-to-one representation of the object. In broader terms, a projection from a higher dimension to a lower dimension can preserve the essential perceptual and conceptual structure of the original. The treatise will explore how principles from Euclid’s Elements (Books 1–16) underpin this fact, and how the classical Euclidean viewpoint connects naturally to projective geometry.

 

Yes, indeed, there were 16 books of the Elements in circulation. When the Elements had been translated into Latin from Ancient Greek and brought to Europe by the inventor of the Gregorian Calendar, Christopher Clauvis, all 16 books were made available and as such had been able to inspire the beauty that was the Renaissance. 

 

During the early 1900s, these additional books were no longer as they were regarded as "spurious". No English record of the full 16 books currently exists.

 

Here are all 16 books in Latin, able to be translated as a near 1:1 translation of the Latin into English:

 

https://drive.google.com/file/d/1fkHWlW3gV2gaWwbb1kx1qRDyRUQdyiJ2/view?usp=sharing

 

Note that I simply use "we" by extension--as in, I view this work as having been completed by my being collectively inspired by the lot of humanity. With respect to its content, it has all been completed by myself.

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I trust that this information will find you well as it has found me; to know that we must necessarily exist within the Universe and that it necessarily exists within us; that our shadows are everyday examples of this interconnectedness, which all hails from a shape that first begins as a point, then a line (which is made of points), and then into an interconnected web that forms our image and thus orients our perspective.

 

I have created over 12 different papers in the past week, so expect more from me soon. I have a great many things to share on our path to enlighten-ment.

 

Where we shall, by extension, move

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Ad infiniti

 

PS. Note that my prior paper is connected to this paper by extension; I have gotten to this point by realizing simply that ideas = ideas; that points = points, and thus that the solution to Euler's equation is simply 1. 

 

Why? Because 2 is the only even prime number.

 

More simply, "2 is only", where we find that 2 is only 1, as there is only 1 even prime. 

 

Though, as we can clearly see, the issue of the problem is rooted in perspective.

 

If 2 is 1, and 1 is 2, then both are the same, but different. Though we clearly see that--by extension--they are one in the same; that 2 is made up of 1, and that 2 is made up of 2. 

 

Where our source must necessarily be a point that then "extends" to negative and positive infinity, where all points from the origin must connect back to the origin by those points being extensions of the origin.

 

Where you are me, and I am you. Where everything is everything, yet not, one and at the same time.

 

Why, how stimulating a thought?