Reflecting on Numbers: A Geometry of Time, Ether, and Potential Infinity

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Year:
2015
Type of Publication:
Article
Keywords:
Geometry Of Time, Historical Time, Age-Shaping Time, Ether, Uniqueness Of Events, Potential Infinity
Authors:
Dr. Gerasimos T. Soldatos
Journal:
IJISM
Volume:
3
Number:
2
Pages:
48-58
Month:
March
ISSN:
2347-9051
Abstract:
This paper is considering geometrically the smallest possible spatial displacement of the elementary mass by equating the corresponding and thereby smallest possible historical time with the unit. This time is supposed to be the travel time under smooth rectilinear motion as the motion, with the least change in the physicochemical substance of this mass, change determining the age of the mass and owing exclusively to kinematics in void space. Yet, the passage of time as recorded by physicochemical change under other types of motion towards the same terminal point and at the same arrival time, call it “age-time”, does not coincide with the arrival time. Therefore, although void space has been assumed, some other, age-shaping factor beyond kinematics is inferred to exist in this space, so that it can be held responsible for the variations in age time. It acts so as to be ensuring the uniqueness of events. The same factor should be cited as the source of motion too, given that motion is contemplated analytically with no reference to a cause of it. This factor appears to exhibit the properties of ether, with which it is identified. Ether provides momentum to mass, altering constantly the texture of the mass, that is, the age of the mass and subsequently, the velocity of it in historical time. The operation of ether is taken to be mathematically the reason for the real-world relevance of irrational numbers. The potential infinity, associated with these numbers and with the operation of ether that is filling space, becomes embedded in the actual infinite of space by itself, in this manner

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