THE GEOMETRIC REENGINEERING OF THE NEW SPEED OF LIGHT AND THE GENERATION OF A TERRESTRIAL COORDINATE

Description This study presents a geometric reengineering of a proposed three-dimensional representation of the speed of light and investigates the terrestrial coordinate structure generated from that construction. The mathematical starting point is the vector c⃗=(c,c,c),\\vec{c}=(c,c,c), where c=299,792,458 m/sc=299,792,458\\ \\mathrm{m/s} is the conventional value of the speed of light in vacuum. The magnitude of the vector is ∣c⃗∣=c3,|\\vec{c}|=c\\sqrt{3}, and its normalized direction is c^=(13,13,13).\\hat{c}= \\left( \\frac{1}{\\sqrt3}, \\frac{1}{\\sqrt3}, \\frac{1}{\\sqrt3} \\right). The construction is subsequently extended through the eight sign combinations (±c,±c,±c),(\\pm c,\\pm c,\\pm c), producing eight normalized spatial directions and four antipodal axes. These directions are transformed into terrestrial coordinates, generating eight geographical points distributed across two latitudes and four longitudes. The first generated terrestrial coordinate is associated with the normalized direction (1,1,1)/3(1,1,1)/\\sqrt3, producing a geocentric latitude of approximately 35.2643896828∘35.2643896828^\\circ and, after the terrestrial transformation adopted in the study, a WGS 84 geodetic latitude of approximately 35.4460114264∘35.4460114264^\\circ, with longitude 45∘45^\\circ E. The complete construction therefore generates the following eight-point system: P1=(+35.4460114264∘,+45∘),P2=(+35.4460114264∘,+135∘),P3=(+35.4460114264∘,−135∘),P4=(+35.4460114264∘,−45∘),P5=(−35.4460114264∘,+45∘),P6=(−35.4460114264∘,+135∘),P7=(−35.4460114264∘,−135∘),P8=(−35.4460114264∘,−45∘).\\begin{aligned} P_1&=(+35.4460114264^\\circ,+45^\\circ),\\\\ P_2&=(+35.4460114264^\\circ,+135^\\circ),\\\\ P_3&=(+35.4460114264^\\circ,-135^\\circ),\\\\ P_4&=(+35.4460114264^\\circ,-45^\\circ),\\\\ P_5&=(-35.4460114264^\\circ,+45^\\circ),\\\\ P_6&=(-35.4460114264^\\circ,+135^\\circ),\\\\ P_7&=(-35.4460114264^\\circ,-135^\\circ),\\\\ P_8&=(-35.4460114264^\\circ,-45^\\circ). \\end{aligned} After the mathematical construction is fixed, the study introduces an independent comparative layer involving archaeology, ancient architecture, territorial marking systems, symbolic representations, astronomical records, written traditions, and paleogeography. The methodological objective is not to establish a historical connection merely from the recurrence of the number eight. Instead, the investigation defines a convergence criterion based on the simultaneous comparison of: position + chronology + geometry + orientation + symbolism + astronomy + paleogeography, when applicable. Particular documentary comparisons include ancient Mesopotamian boundary stones (kudurru) containing inscriptions and symbolic systems, including eight-pointed stars; the monumental and epigraphic archaeological record of Aksum; the megalithic and funerary evidence of Tiya; ancient astronomical traditions; and the temporal transformation of terrestrial geography. Paleogeography is incorporated because geographical relationships depend upon time. Accordingly, the spatial relation is represented as d(Pi,Aj,t),d(P_i,A_j,t), rather than exclusively as a static present-day distance d(Pi,Aj)d(P_i,A_j). The investigation also establishes a distinction between independent evidence and derived interpretation. A repeated symbol, isolated archaeological site, architectural orientation, or numerical recurrence is not treated as sufficient evidence of a historical connection. Stronger evidence would require repeated multidimensional convergence across several of the eight generated points, supported by independently documented archaeological, chronological, architectural, symbolic, astronomical, and geographical variables. The study consequently distinguishes four methodological categories: DATA≠COINCIDENCE≠CONVERGENCE≠PROOF\\boxed{ \\text{DATA}\\neq\\text{COINCIDENCE}\\neq\\text{CONVERGENCE}\\neq\\text{PROOF} } The principal result of the mathematical stage is the determination of an eight-direction geometric structure and its corresponding terrestrial coordinate system. The principal result of the comparative stage is the identification of multiple independent documentary categories that can be compared with that structure. The study does not establish that ancient civilizations constructed their systems according to the eight geometric points, nor does it establish the existence of an unknown civilization responsible for the structure. Such propositions remain hypotheses requiring further independent archaeological, chronological, architectural, astronomical, geographical, and statistical verification. The research therefore provides a reproducible framework in which a mathematical construction is fixed first and external historical and archaeological data are subsequently tested against it without altering the original construction. Author: Cláudio Vicente da SilvaIndependent ResearcherLondrina, Paraná, BrazilDate: September 17, 2026