According to the introductory section of the book ‘’HOLOGRAPHIC CONSTRUCTION OF THEUNIVERSE FROM ITS PLANE BOUNDARY’’, the proposed Geometric/Holographic theory prevails overestablished physical theories (Classical Mechanics, Quantum Mechanics, and General Relativity) onthe following key points: Universal Unification without Contradictions: 3D theories create separate postulates and laws toexplain the microcosm (Quantum Mechanics) and the macrocosm (Relativity), often leading to deadends and contradictions. The PDF's theory unifies all physical theories (including Gravity), proving theycan be derived from the geometry of a two-dimensional flat space (P²) through bidirectionalmappings. Geometric Interpretation of Dark Energy: While modern cosmology introduces a "mysterious" andunknown cause named Dark Energy to explain the accelerated expansion of the Universe, this theoryexplains expansion as a natural, geometric necessity for the continuous reduction and ultimatezeroing out of space's initial immense curvature (satisfying the zeroing criterion z.c.P²). Resolution of Zeno's and Spatial Paradoxes: Classical physics utilizes Euclidean space, which consistsof mathematical points of zero size, creating structural inconsistencies and logical paradoxes (such asAchilles and the tortoise, or the arrow paradox). The PDF's theory prevails by introducing a pseudoEuclidean space with a minimal physical unit (the Planck point) that features non-zero dimensions,thereby eliminating the paradoxes of motion and time. Theoretical Calculation of Physical Constants and Masses: In the Standard Model of physics, particlemasses and constants (such as the fine-structure constant) are inserted "by hand" as experimentaldata. This theory aspires to theoretically and mathematically calculate the exact mass values of thethree generations of elementary particles (e.g., neutrinos) and the fine-structure constant, based onself-similar processes (such as the Fibonacci sequence). Justification of the Equality of Inertial and Gravitational Mass: In classical physics and GeneralRelativity, the equality of inertial and gravitational mass (Equivalence Principle) is accepted simply asa postulate. The holographic theory promises to provide a deeper geometric answer as to why thesetwo values are equal.
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Kostas Krikos (2026) studied this question.
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