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Deterministic Stroboscopic Aliasing and the Reinterpretation of Quantum Waveforms

Alper Pektaş

Published Oct 17, 2026• 0 citations
Publisher

Abstract

Standard quantum mechanics relies on abstract probability clouds, wavefunctions, and stochastic superposition to describe subatomic behavior. Within the deterministic $n^3$ matrix-mechanical framework, these probabilistic interpretations are dismantled and reinterpreted as deterministic, hydrodynamic aliasing artifacts. By evaluating observer sampling limits against object rotational frequencies ($K_{obs} < 2 \cdot f_{obj}$), we prove that multi-location illusions and wave-particle duality stem from stroboscopic under-sampling rather than inherent physical indeterminacy.

DOI
10.5281/zenodo.23436376

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Standard quantum mechanics relies on abstract probability clouds, wavefunctions, and stochastic superposition to describe subatomic behavior. Within the deterministic n3n^3n3 matrix-mechanical framework, these probabilistic interpretations are dismantled and reinterpreted as deterministic, hydrodynamic aliasing artifacts. By evaluating observer sampling limits against object rotational frequencies (Kobs<2⋅fobjK_{obs} < 2 \cdot f_{obj}Kobs​<2⋅fobj​), we prove that multi-location illusions and wave-particle duality stem from stroboscopic under-sampling rather than inherent physical indeterminacy.
For nearly a century, the standard formulation of quantum mechanics has relied upon the probabilistic interpretation of physical states, fundamentally utilizing the wavefunction () to describe the position, momentum, and state of sub-atomic entities as a distribution of statistical likelihoods. The Copenhagen interpretation, which posits that physical systems do not possess definite properties prior to measurement, has served as the operational foundation of modern quantum physics. However, this stochastic abstraction has persistently generated profound epistemological and physical paradoxes, most notably the unresolved nature of wavefunction collapse and the mathematical friction encountered when attempting to unify quantum mechanics with the deterministic, continuous manifold of general relativity.
Abstract This paper introduces the Theory of Synchronized Scale Geometry (SSG), a novel theoretical framework aimed at resolving the conceptual and philosophical divergence between General Relativity (the macro-universe) and Quantum Mechanics (the micro-universe). The theory posits that the seemingly paradoxical behaviors observed at the subatomic level—such as superposition, wave-particle duality, and quantum entanglement—are not governed by a separate, non-deterministic physics. Instead, they are the geometric consequences of minimized spatial scales functioning in perfect synchronization with maximized temporal frequencies. SSG suggests that the universe operates under a single, unified rule of spatiotemporal scaling where the internal clock of a system accelerates proportionally as its spatial volume decreases. Consequently, what modern physics terms "quantum weirdness" is reinterpreted as an observational and measurement illusion caused by the structural limitations of macroscopic observers interacting with ultra-high-frequency temporal matrices.
For over a century, orthodox physical theory has treated subatomic interactions as fundamentally stochastic, relying on observer-dependent wavefunction collapse, acausal coordination, and Hilbert-space indeterminacy to patch over gaps in lower-dimensional coordinate projections. Just as Ptolemaic astronomy layered epicycles, deferents, and equants onto geocentric orbits to preserve an erroneous flat baseline, modern quantum phenomenology manufactures un-physical superpositions and spurious non-locality to explain coordinated multi-particle states. Confronting recent experimental demonstrations of single-shot entangled measurement in multi-photon W states, we demonstrate that the underlying physical mechanism is strictly real, local, and causal: a shared metric clock source operating on a compact toroidal sub-manifold (T2 ⊂ T5 ) within the ten-dimensional product manifold M3 × (T5 × S5). State resolution occurs via deterministic unitary rotations and mechanical ledger updates at the non-singular Planck turnaround floor (Rfloor ≈ 1.02143 lP ), governed by strictly positive impedance (Ω ≥ 0) without unearned vacuum potentials. When projected from higher-dimensional metric mechanics, probability distributions collapse to exact geometric certainty. Quantum indeterminacy is thus revealed to be an empirical artifact of lower-dimensional sampling, obsolete for fundamental physical description.