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The Uncertainty Principles of Heisenberg, Dirac, and Schrodinger as Additional Lenses Not Yet Properly Calibrated for the Macrocosm

Yassin Tanan

Published Apr 1, 2026• 0 citations
Publisher

Abstract

For nearly a century, physics has lived with a dual identity, as if the Uni- verse spoke two different languages. On one side, General Relativity describes the macrocosm with geometric precision: planets, stars, and galaxies. On the other, Quantum Mechanics—with the equations of Heisenberg, Schrodinger, and Dirac—is relegated to the microscopic realm, where reality becomes probabilis- tic, uncertain, and fuzzy. But what if this boundary is merely an optical illusion? The fundamental error of modern physics might not lie in the equations themselves, but in how we have used them. We have treated the pillars of quantum mechanics as microscopes, when in reality they are powerful cosmological lenses not yet properly calibrated for the macrocosm. Whenever we try to describe a large-scale event, these equations seem to break down. But the truth, viewed through the lens of the Dynamic Mass Transduction (DMT) theory, is different: to describe deep reality, these equa- tions must expand in their values. Paradoxically, the higher the degree of the uncertainty principle—without violating the normalization parameters of the equation—the more realistically the mathematical description approaches cosmic events. Fuzziness is not a mea- surement error; it is the survival algorithm of the Universe.

DOI
10.5281/zenodo.19369168

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For nearly a century, physics has lived with a dual identity, as if the Uni- verse spoke two different languages. On one side, General Relativity describes the macrocosm with geometric precision: planets, stars, and galaxies. On the other, Quantum Mechanics—with the equations of Heisenberg, Schrodinger, and Dirac—is relegated to the microscopic realm, where reality becomes probabilis- tic, uncertain, and fuzzy. But what if this boundary is merely an optical illusion? The fundamental error of modern physics might not lie in the equations themselves, but in how we have used them. We have treated the pillars of quantum mechanics as microscopes, when in reality they are powerful cosmological lenses not yet properly calibrated for the macrocosm. Whenever we try to describe a large-scale event, these equations seem to break down. But the truth, viewed through the lens of the Dynamic Mass Transduction (DMT) theory, is different: to describe deep reality, these equa- tions must expand in their values. Paradoxically, the higher the degree of the uncertainty principle—without violating the normalization parameters of the equation—the more realistically the mathematical description approaches cosmic events. Fuzziness is not a mea- surement error; it is the survival algorithm of the Universe.
One of the most fascinating principles in quantum mechanics must be Heisenberg’s uncertainty principle, which can be briefly stated as follows: every physical observation cannot be precisely determined without some degree of error or uncertainty. And it is by no means can one use the principle within the limit of certainty region, as will be shown in this Letter. Two of the most important pillars in modern physics must be Einstein’s relativity theory and Schr dinger’s contribution to quantum mechanics. Yet, there is a profound connection between these discoveries by means of the uncertainty relationship, in which we shown that the observation of a high-speed object is conceivable if the speed of the observer keeps up with object’s speed.
Despite its successes, quantum mechanics (QM) has remained mysterious to all who have encountered it. Starting with Bohr and progressing into the present, the departure from intuitive, physical reality has widened. The connection between QM and reality is more than just a “philosophical” issue. It reveals that QM is not a correct or complete theory of the physical world and that inescapable internal inconsistencies and incongruities arise when attempts are made to treat it as physical as opposed to a purely mathematical “tool.” Some of these issues are discussed in a review by F. Laloe [Am. J. Phys. 69, 655 (2001)]. In an attempt to provide some physical insight into atomic problems and starting with the same essential physics as Bohr of e moving in the Coulombic field of the proton and the wave equation as modified by Schrodinger, a classical approach is explored that yields a remarkably accurate model and provides insight into physics on the atomic level. The proverbial view, deeply seated in the wave-particle duality notion, that there is no large-scale physical counterpart to the nature of the electron may not be correct. Physical laws and intuition may be restored when dealing with the wave equation and quantummechanical problems. Specifically, a theory of classical quantum mechanics (CQM) is derived from first principles that successfully applies physical laws on all scales. Rather than using the postulated Schrodinger boundary condition “Ψ → 0 as r → ∞,” which leads to a purely mathematical model of the electron, the constraint is based on experimental observation. Using Maxwell’s equations, the classical wave equation is solved with the constraint that the bound (n = 1)state electron cannot radiate energy. By further application of Maxwell’s equations to electromagnetic and gravitational fields at particle production, the Schwarzschild metric is derived from the classical wave equation, which modifies general relativity to include conservation of spacetime in addition to momentum and matter/energy. The result gives a natural relationship among Maxwell’s equations, special relativity, and general relativity. CQM holds over a scale of spacetime of 85 orders of magnitude — it correctly predicts the nature of the universe from the scale of the quarks to that of the cosmos. A review is given by G. Landvogt [Internat. J. Hydrogen Energy 28, 1155 (2003)].
Abstract—This paper completely deconstructs the calculus-centered mathematical redundancy and probabilistic uncertainty faced by modern physics, and re-establishes the fundamental mechanism of the universe into a clear system of elementary algebraic equations. Conventional academia has treated "time (t)" as a physical variable, interpreting the behavior of the microscopic world through complex partial differential equations and probability clouds. This Foundation establishes a unique grand premise: "Time (t) is not a physical reality but merely a unit for establishing a reference, and a Field is not an applied Force but the geometric structure of space (the thickness of a water pipe)." Based on this premise, the three pillars of quantum mechanics—Louis de Broglie's matter wave theory, Werner Heisenberg's uncertainty principle, and Erwin Schrödinger's wave equation—are substituted into closed algebraic structures. Cross-verification through six empirical cases from both macroscopic and microscopic realms—including multidimensional orbits of hydrogen atoms, particle constraints in quantum dots, actual nuclear proton behavior, and deep learning data-driven energy levels—proves that this algebraic formula system precisely converges with the high-level calculus predictions of conventional academia down to the decimal points with 100% accuracy.
For over nine decades, quantum mechanics has profoundly shaped our understanding of nature, offering explanations for the stability of atoms, the formation of mole cules, the properties of materials, and phenomena such as light or radioactivity. It is essential to modern technologies—from microchips to lasers—and underpins the physics of elementary particles. Yet, despite its successes, it remains a deeply mysterious theory, confronting a central enigma: why does the quantum world behave so differently from everyday reality? Elements such as superposition and quantum entanglement—which allow particles to exist simultaneously in multiple states or remain interconnected regardless of distance—contradict classical world intuitions. This gap between microscopic and macroscopic behavior has given rise to what is known as the “measurement problem,” raising fundamental questions about the nature of reality. Diverging interpretations have led to two major schools of thought: anti-realism, promoted by Niels Bohr, which holds that reality depends on the observer and their interaction with measurement instruments; and realism, supported by Albert Einstein, which argues that quantum mechanics is incomplete and that eality exists independently of observation. Bohr’s complementary philosophy and Heisenberg’s uncertainty principle were central to the formulation of the “Copenhagen interpretation,” which became dominant in the 20th century. However, the persistent opposition of scientists like Einstein and Schrödinger inspired generations of physicists to seek a unification between quantum mechanics and relativity, culminating in new theories such as loop quantum gravity and string theory. Thus, the debate between realism and anti-realism remains alive, and philosophy continues to play a crucial role in exploring the new foundations of physics.
For nearly a century, quantum mechanics (QM) has established itself as an exceptionally effective framework for predicting the collective movements and statistical distributions of particles. However, its predictive success comes with a significant conceptual cost: the apparent abandonment of local realism. When one attempts to apply the standard quantum formalism at the scale of an individual particle, paradoxes inevitably arise. This article argues that these contradictions are not intrinsic properties of nature, but rather stem from a fundamental category error: the misapplication of ensemble statistical laws to individual events, which unrightfully promotes statistical averages to instantaneous physical realities. To address the root cause of this conceptual deviation, we must establish a foundational axiom: the Principle of Particle Reality. This principle posits that if a particle exists as a real entity, it must inherently possess definite physical properties—such as a precise polarization, velocity, and trajectory—independent of our capacity to detect them. Ignoring this ontology has led the standard model to treat physical realities as abstract paradoxes. To resolve them, this work proposes a unified reconsideration of three main pillars of quantum interpretation. First, regarding locality, we demonstrate that a polarizer does not create a state but merely reveals a pre-existing polarization. The concrete proof lies in the reduction of a beam’s intensity, which is fundamentally a physical drop in the number of transmitted particles. By establishing a physical equivalence between parallel and sequential measurements via the principle of Statistical Identity, we show that exact quantum correlations emerge directly from a particle-by-particle application of the strictly positive classical Malus’s law (0 ≤ p ≤ 1). This successfully explains the violation of Bell’s inequalities within a strictly local framework, bypassing the non-physical negative quasi-probabilities encountered in previous angular hidden-variable models. Secondly, on the illusion of state superposition, we show that failing to recognize that an interferometer physically and deterministically alters the polarization orientation of a particle led to an abstract formulation; in reality, this involves a deterministic geometric transformation of probability distributions. Finally, addressing wave-particle duality, we challenge the standard postulate of artificial simultaneity in the double-slit configuration, which caused a deep confusion between the collective behavior of a group and the sequential passage of an individual entity. We introduce an “event-by-event” formulation where interference fringes emerge instead from temporal correlations preserved by the non-commutativity of averaging. By restoring the strict distinction between statistical ensemble laws and individual reality through the Principle of Particle Reality, this work aims to definitively end “quantum geocentrism” and to lay the foundations for a coherent, local, and realistic sub-quantum physics.
Introduction Although the mathematical structure of quantum mechanics was understood within a few years after it was invented, numerous quantum paradoxes still disturb ‘simple-minded’ physicists. Most of them, as ‘naïve realists’, would probably never take Bohr's own over-philosophical and over-complicated treatment of these paradoxes seriously if they realized the philosophical consequences of the Copenhagen interpretation. To make my meaning clearer, let me quote Bohr's answer to Professor Hoffding's question regarding the double-slit experiment [1]. Bohr was asked: ‘What can the electron be said to be in its travel from the point of entry to the point of detection?’ And he replied: ‘ To be ? To be ? What does it mean to be ?’ However, if one questions the existence of microscopic constituents of macroscopic bodies, then the next logical step would be to question the existence of the macroscopic bodies and even ourselves. Needless to say, very few (if any) of us, when making experiments or analyzing their results, address the question of what it means ‘to be’ every time. Even in the context of elementary particles, probably nobody doubts that the particles exist and somehow travel from the point of entry to the point of detection. Moreover, within the accuracy allowed by the uncertainty relation, these particles can be localized and described just as well as macroscopic ‘classical’ objects.