The following manuscript establishes the role of dialectical forces in our physical universe. The dialectical relationship links opposing theories of quantum mechanics and bridges the gap between quantum physics and general relativity.
The aim of this work is to provide a possible philosophical motivation to the variational principles of physics in general and a possible way to unify the axiomatizations of mechanics theories. The leitmotif of this work is a dialectical view of the world: any smooth motion in nature is the consequence of the interplay and dynamical balance between pairs of opposite elements of the motion. We stress that the opposite property here differs from the common sense of opposing elements (of conflicting appearance but of same nature) such action/reaction forces between two bodies. The opposite elements here are incompatible and mutual exclusive in nature, with contrasting and complementary characteristics such as active/passive, disorder/order, curvature/flatness, etc. The dynamical balance is defined by an invariant variational relationship between all the pairs of opposite elements active in the considered motion. From this idea, an axiomatization of quantum mechanics is proposed in addition to the derivation of several existing variational principles of mechanics.
Contemporary physicists, in creating theories adequate to nature's patterns of movement and development, speak the language of dialectics whether willingly or unwillingly. Even those whose personal outlook is at variance with dialectical philosophy acknowledge this in their own way. Thus Heisenberg states that inquiry into the foundations of the quantum theory, especially as carried out by Bohr, has features reminiscent of Hegelian philosophy. (1) And, to quote Pauli, "dialectics is that mutual game of two opponents which is typical of the Copenhagen interpretation of quantum mechanics." (2) Bohr himself, while discussing the quantum theory, speaks of "profoundly true statements the opposites of which likewise contain deep verities." (3)
Please download the paper and then read the abstract (since crucial formulas are not appearing in this window, and also hyperlinks are not working). This is just a brief overview: Relativity is inside the light cone phenomena, while Quantum Mechanics is outside the light cone phenomena, dictated just by the scale (i.e. whether we use classical/human scale or sub-atomic scale). This recent paper [ ‘ Quantum principle of relativity’; Andrzej Dragan, Artur Ekert, New. J. Phys. 22 (2020) 033098] has shown that every exotic Quantum effect like superposition, entanglement, probabilistic behavior, multiple paths etc. can be explained just by allowing super-luminal possibility. The 'inside the light cone' phenomena, and the 'outside the light cone' phenomena together span the entire region within the space and time axes. Only in unison they complete the entire picture. We failed to realize that the same spacetime is getting split into 'space like' and 'time like’ regions based on scale. And the reason behind this is not the magical ( ? ) speed of light. That would have turned both relativity and quantum mechanics into mere branches of electromagnetism. The true reason is much deeper and at a very fundamental level of our universe. It turns out that the c is the radial expansion velocity of our universe. But why does the transition from Relativity to Quantum Mechanics happens with decreasing size scale? That’s because, this is what is happens to spatial and temporal dimensions at different scales: 3+1 (Classical regime) <=> 2+2 (Compton regime) <=> 1+3 (Planck regime). Just as space and time exchange roles at the event horizon of a Black Hole, similarly, spatial and temporal dimensions switch roles for extremely small scales (although due to a completely different mechanism). Why this happens is difficult to expalin without the true model of our universe. But, once explained, it becomes "Why didn't I think about it before? I was plain silly!" From the center of universe viewpoint, simultaneity is absolute (as demanded by Sagnac effect), and there is indeed absolute universal time (as demanded by quantum mechanics). From our viewpoint (located at an awkward position in the universe), locality is absolute, and velocity c is the upper limit, and remains constant for every observer. This turns (our) space and time into inseparable twins, and makes (our) time a relative concept. This solves the time problem which had so stubbornly resisted the reconciliation of Quantum Mechanics and General Relativity. Quantum Mechanics and Special Relativity are like two sides of the same coin. But understanding the relation between Quantum Mechanics and General Relativity is a bit tricky, because according to General Relativity, gravity is the warping/curvature of the 4 dimensional spacetime itself. At first sight, Quantum Mechanics and General Relativity seem to be utterly incompatible! But actually, Special Relativity’s big brother General Relativity only complicates things a bit, but does not become inconsistent with Quantum Mechanics altogether. The only difference between the warped spacetime of General Relativity, and the flat spacetime of Special Relativity is very similar to the difference between a stretched rubber membrane, with and without a metal ball placed on it. This paper does not sacrifice any of the spectacular success of General Relativity and also does not compromise with any of the stunningly accurate predictions of Quantum Mechanics. And yet, this paper harmoniously brings Quantum Mechanics and General Relativity together. Just bear in mind that Nature simply cannot afford to make our two greatest theories incompatible. After all, both General Relativity and Quantum Mechanics were based on what nature was actually telling us, and nature herself would be accountable for any genuine contradiction (but not for the breakdown of our physics due to our misunderstanding!). And, by the way, this paper solves some of the most pressing problems in both Physics & Cosmology. The 'Principle of Least Action' which comes closest to a 'Theory of Everything' arises as a direct consequence of better SpaceTime theory proposed in this paper. Also, we can see why the symmetries of nature (which gives rise to the crucial conservation principles in Physics according to the Noether's theorems) arises in the first place. Gentle reminder: Please download the paper and then read the abstract.
Please download the paper and then read the abstract (since crucial formulas are not appearing in this window, and also hyperlinks are not working). This is just a brief overview: Relativity is inside the light cone phenomena, while Quantum Mechanics is outside the light cone phenomena, dictated just by the scale (i.e. whether we use classical/human scale or sub-atomic scale). This recent paper [ ‘ Quantum principle of relativity’; Andrzej Dragan, Artur Ekert, New. J. Phys. 22 (2020) 033098] has shown that every exotic Quantum effect like superposition, entanglement, probabilistic behavior, multiple paths etc. can be explained just by allowing super-luminal possibility. The 'inside the light cone' phenomena, and the 'outside the light cone' phenomena together span the entire region within the space and time axes. Only in unison they complete the entire picture. We failed to realize that the same spacetime is getting split into 'space like' and 'time like’ regions based on scale. And the reason behind this is not the magical ( ? ) speed of light. That would have turned both relativity and quantum mechanics into mere branches of electromagnetism. The true reason is much deeper and at a very fundamental level of our universe. It turns out that the c is the radial expansion velocity of our universe. But why does the transition from Relativity to Quantum Mechanics happens with decreasing size scale? That’s because, this is what is happens to spatial and temporal dimensions at different scales: 3+1 (Classical regime) <=> 2+2 (Compton regime) <=> 1+3 (Planck regime). Just as space and time exchange roles at the event horizon of a Black Hole, similarly, spatial and temporal dimensions switch roles for extremely small scales (although due to a completely different mechanism). Why this happens is difficult to expalin without the true model of our universe. But, once explained, it becomes "Why didn't I think about it before? I was plain silly!" From the center of universe viewpoint, simultaneity is absolute (as demanded by Sagnac effect), and there is indeed absolute universal time (as demanded by quantum mechanics). From our viewpoint (located at an awkward position in the universe), locality is absolute, and velocity c is the upper limit, and remains constant for every observer. This turns (our) space and time into inseparable twins, and makes (our) time a relative concept. This solves the time problem which had so stubbornly resisted the reconciliation of Quantum Mechanics and General Relativity. Quantum Mechanics and Special Relativity are like two sides of the same coin. But understanding the relation between Quantum Mechanics and General Relativity is a bit tricky, because according to General Relativity, gravity is the warping/curvature of the 4 dimensional spacetime itself. At first sight, Quantum Mechanics and General Relativity seem to be utterly incompatible! But actually, Special Relativity’s big brother General Relativity only complicates things a bit, but does not become inconsistent with Quantum Mechanics altogether. The only difference between the warped spacetime of General Relativity, and the flat spacetime of Special Relativity is very similar to the difference between a stretched rubber membrane, with and without a metal ball placed on it. This paper does not sacrifice any of the spectacular success of General Relativity and also does not compromise with any of the stunningly accurate predictions of Quantum Mechanics. And yet, this paper harmoniously brings Quantum Mechanics and General Relativity together. Just bear in mind that Nature simply cannot afford to make our two greatest theories incompatible. After all, both General Relativity and Quantum Mechanics were based on what nature was actually telling us, and nature herself would be accountable for any genuine contradiction (but not for the breakdown of our physics due to our misunderstanding!). And, by the way, this paper solves some of the most pressing problems in both Physics & Cosmology. The 'Principle of Least Action' which comes closest to a 'Theory of Everything' arises as a direct consequence of better SpaceTime theory proposed in this paper. Also, we can see why the symmetries of nature (which gives rise to the crucial conservation principles in Physics according to the Noether's theorems) arises in the first place. Gentle reminder: Please download the paper and then read the abstract.