New York, N.Y., March 11, 2019
Figure 1. Albert Einstein
A Tribute To Albert Einstein:
Q 1. Prof. Santilli, we have been told that you spent four decades of your research life to honor and verify Einstein's 1935 historical prediction of the lack of completeness of quantum mechanics against continued worldwide opposition. Is this correct?
A. Yes, it is true that I dedicated four decades of studies to honor Albert Einstein not only for his colossal discoveries everybody knows but also because he was a true scientist since he expressed doubts on the final character of the theories of his time which is a sign of rare scientific greatness. Yes, it is true that, with due exceptions, the worldwide orthodox scientific community opposed Einstein's vision on the lack of final character of quantum mechanics. Therefore, my studies aiming at verification of the indicated Einstein's vision were opposed and obstructed in numerous ways, but this is part of the scientific process that has occurred and will continue to occur whenever dealing with fundamental advances.
Q 2. Prof. Santilli, can you please explain in a language accessible to the general audience Einstein's 1935 argument that quantum mechanics is not a final theory?
A. According to quantum mechanics, the position of particles cannot be identified with the same precision we can achieve in classical mechanics. Consequently, Einstein conjectured the possible existence of a generalization of quantum mechanics he called "completion," such to admit limiting values that would recover the classical determinism, namely, the capability to achieve exact measurements. He communicated this view to his post doctoral associates Boris Podolsky and Nathan Rosen at the Princeton Institute for Advanced Study, and all three together (indicated as "EPR" from the initials of their last names) published in the May 13th issue of the Physical Review of the American Physical Society a paper entitled Can Quantum Mechanical Description of Physical reality be Considered Complete? This historical paper became known as the EPR Argument.
Q 3. Was Einstein courageous to express such a revolutionary view?
A. Yes indeed. To fully understand his courage, let me recall that in 1935, Nazi Germany was considered the dominant political and military power since the U.S.A., at that time, were considered to be a mere agricultural country. Einstein had emigrated to the U.S.A. only two years earlier (in 1932), and his theories were still very controversial (we are far from the 1945 verification of Einstein's celebrated equation E - mc2 by the atomic bomb).
Q 4. Do you have other historical comments on that time?
A. In 1935, the perception of a Nazi dominance was not only related to political and military dominance but also included a scientific dominance following the Gestapo takeover of academia. Additionally, we have to remember that the primary originators of quantum mechanics, such as Planck, Schroedinger, and Heisenberg, were German scientists. These aspects are important to appraise Einstein's courage in expressing his view on the incompleteness of the German science dominating at that time. Einstein's courage and clear dedication to the pursuit of "new" scientific knowledge were a great motivation for me to prove that he was correct with his EPR argument.
Q 5. Can you please outline the academic rejections of the EPR argument?
A. The rejections of the EPR argument were initiated by the Danish physicist Niels Bohr with an article published in the October 15, 1935, issue of the Physical Review, Rejection of the EPR argument. This article was followed by a large number of articles and monographs easily identifiable in an internet search that, to my knowledge, generally agree with Bohr's 1935 rejection. Most notable are mathematical theorems within the context of the field called local realism, such as the theorems by J. S. Bell, J. von Neumann and others essentially claiming to confirm Bohr's rejection of Einstein's view.
Q 6. Can you express your view on all these rejections?
A. As far as I am concerned, I never accepted Bohr's paper for scholar for various reasons, such as: 1) Bohr's objections were published in a rush only five months following the appearance of the EPR argument, thus without sufficient time for in-depth criticisms; 2) There are credible rumors that Bohr's wrote the article following pressure from German scientists who originated quantum mechanics; 3) Bohr's article is essentially motivated by the widespread political/non-scientific view that quantum mechanics can represent the entirety of the universe, expectedly, until the end of time; 4) Bohr's paper cannot be considered scientifically impeccable because he does not identify the mathematical and physical conditions under which his own view was correct; 5) The last criticism applies to all subsequent works in the field and applies in particular to the mathematical theorems by Bell, von Neumann, and others.
Q 7. What is your view on the main point of this historical controversy?
A. To my knowledge, Einstein never claimed that quantum mechanics is wrong, thus implicitly accepting its validity under given conditions. Einstein's main point was the lack of completion of quantum mechanics, namely, quantum mechanics is not the final theory of the universe due to the possible existence of a generalization "completion" (in Einstein's words) of quantum mechanics into a theory recovering classical determinism under limit conditions. I never accepted Bohr's argument or any of the large number of his followers because their denial of a possible generalization of quantum mechanics is political/non-scientific in my view.
Q 8. What is your view of Niels Bohr?
A. I believe that Bohr initiated a true scientific obscurantism which is still in full action today because the entirety of the universe, from its most minute structure to its biggest cosmological dimensions continue to be treated to this day via quantum mechanics without any consideration of its limitations, let alone the dismissal without counter-measurements of various experiments disproving its universal validity throughout the universe.
Q 9. Do you think that Niels Bohr was an antisemitic Nazi sympathizer?
A. Definitely not. Danish people are known to have opposed Nazism in any possible way and Bohr is on record to have helped various Jewish physicists to leave Germany and emigrate to the U.S.A. However, I believe that his scientific mind had been controlled by German scientists of the time because serious science is always expressed in cautious terms and every theory is known to have limitations.
Q 10. In your view, what are conditions under which criticisms of the EPR arguments are valid?
A. Bohr and all his followers tacitly assumed at the basis of their objections the most fundamental assumption of quantum mechanics namely, the approximation of particles as massive points according to Newton's original conception four centuries ago. In fact, such a silent assumption is inherent in the main equations of quantum mechanics that are notoriously based on Newton's differential calculus, namely, a calculus that can only be defined at isolated points. My inability to accept Bohr's views stems from the fact that, in the physical reality, particles are not points since they are extended, therefore deformable and hyperdense. Consequently, there are conditions (known as exterior dynamical conditions) under which particles can be approximated as massive points moving in vacuum resulting in the full validity of quantum mechanics (and Bohr's views), as it is the case for atomic structures, particles in accelerators, crystals and numerous other cases. However, there are conditions (known as interior dynamical problems) under which the approximation of particles as massive points is no longer effective, as it is the case for the structure of particles, nuclei, and stars. In fact, Enrico Fermi and numerous other distinguished scholars, expressed doubts (known to Niels Bohr) as to whether the geometry, let alone the physics of quantum mechanics is applicable to the structure of the microcosm.
Q 11. Do you have an example understandable by the general audience?
A. When two protons, as in Figure 3, are the two nuclei of the hydrogen molecule, they are in vacuum at large mutual distance, in which case said protons can indeed be effectively approximated as point particles resulting in the exact validity of quantum mechanics as well as of Bohr's view. In particular, we will never be able to achieve a measurement of their mutual distance with the precision achievable in classical mechanics. However, when the same two protons are members of a nucleus, their approximation as massive points are no longer effective as established by the fact that quantum mechanics has been unable to achieve an exact representation of nuclear data in about one century of efforts. Finally, the claim of the exact validity of quantum mechanics becomes blatantly political/non-scientific when the same two protons are in the core of a star due to the dramatic differences between the exterior conditions of the original conception and experimental verification of quantum mechanics, essentially those for massive points in vacuum, and the interior conditions here considered for two extended and hyperdense protons under extreme pressures. According to Einstein vision, it is possible that, at a limit of extreme pressures, the mutual distance between the indicated two protons in the core of a star can be identified with the same precision achievable in classical mechanics.
Q 13. Can you please outline subsequent developments?
A. It took decades for the construction, first, of the new mathematics due to the need for the completion of Newton's differential calculus from its definition at points to a definition in volumes. This was achieved in the 1996 paper Isotopies of 20th century mathematics resulting in a new mathematics known as hadronic mathematics (Amidst a large bibliography, I should mention the six volumes of Foundations of the IsoDifferential Calculus, by the mathematician S. Georgiev published by Nova Scientific Publisher). Then it took additional time for the construction of the consequential completion of quantum mechanics into a covering theory today known as hadronic mechanics and the completion of quantum chemistry into a discipline known as hadronic chemistry. Then it took a decade for the verification of the new mathematical and physical theories in various fields (see the 2016 Review of Hadronic Mechanics). Only following all that was I in a position to verify that EPR completion of quantum mechanics permitted the quantitative representation of the totality of the characteristics of the neutron in its synthesis from the hydrogen atom at the non-relativistic as well as relativistic levels (see the recent review of the neutron synthesis).
Q 14. Does your synthesis of the neutron confirm the EPR argument?.
A. The representation of the synthesis of the neutron confirms the existence of a completion of quantum mechanics we call hadronic mechanics. However, the full proof of the EPR argument requires the additional confirmation of the existence of limiting conditions under which particles recover the classical determinism. I achieved the latter proof in the 1998 paper
Q 15. Did you advertise such a historical discovery?
A. No. I am a scientist, and as such, I do not advertise my work. I merely published papers available to all colleagues with the word "completion" in the title, such as the paper published by Found. Phys. Vol. 27, pages 625-729 (1997) entitled Relativistic hadronic mechanics: nonunitary, axiom-preserving completion of relativistic quantum mechanics.
Q 16. Can you provide an example illustrating the recovering of classical determinism?
A. Recall that we can identify the center of mass of a star or of a black hole with classical accuracy. When the two protons of Figure 3 are in their interior, their mutual distance, as well as their distance from said center of mass, is predicted to be identifiable with classical accuracy. Another example is given by the recently confirmed, negatively charged pseudoproton given by the compression of two electrons inside the neutron (Figure 7). In this case the two electrons are constrained to rotate with opposite spins within the hyperdense neutron, thus having a fixed mutual distance with classical determinism and the same holds for the distance of the electron pair from the neutron center due to very strong constraints that simply do not exist for point particles in vacuum.
Q 17. Does Einstein's vision have any new industrial applications?
A. Yes, indeed. The surpassing of quantum mechanics according to the EPR argument permits the conception, treatment and industrial development of a virtually unlimited number of new technologies. As an illustration, among several possibilities, I initiated experimental verification of the laboratory synthesis of the neutron from the hydrogen gas in early 2000. These experiments were then confirmed by numerous additional verifications, such as that of the experimental collaboration that are, de facto, experimental confirmations of Einstein's vision on the lack of final character of quantum mechanics. Recall that the neutron is one of the most important particles in nature. Hence, the capability of synthesizing a flux of neutron on demand has clear industrial relevance. Consequently thanks to the collaboration by my wife Carla Gandiglio Santilli, we did set up in early 2014 the publicly traded company Thunder Energies Corporation which is in production and sale of an equipment synthesizing neutrons on demand from a hydrogen gas called " Directional Neutron Source with a number of applications, such as the detection of nuclear material that may be concealed in baggages, the detection of precious metals in mining operations, and other uses.
Q 18. Are you studying other new technologies dependent on the EPR argument?
A. Yes. A primary reason we have been unable to achieve a controlled nuclear fusion in seventy-five years of efforts and billions of dollars of taxpayer money is that nuclei are positively charged. Consequently, nuclei experience the Coulomb repulsion which, at the distance needed for the fusion reaches astronomical values because it is proportional to the inverse square of the distance (Figure 9). At Thunder Energies Corporation we have learned how to synthesize the neutron and the negatively charged pseudoproton. We are now studying the synthesis of negatively charged nuclei that would turn the above repulsion into a very strong Coulomb attraction between nuclei, thus implying a basically new conception of controlled nuclear fusion that cannot be formulated via quantum mechanics, let alone industrially developed, while being fully treatable via the EPR completion of quantum mechanics. (see also the preceding PubRelCo Interview Jan. 2, 2019 (.
Q 19. What are your concluding remarks?
A. I believe that Einstein's vision on the lack of final character of quantum mechanics is, by far, the most important legacy by Albert Einstein because it implies a true scientific renaissance encompassing all quantitative sciences, with advances simply beyond our imagination at this writing (see the monograph New Sciences for a New Era). Therefore, I hope that colleagues will join our team in honoring Einstein's legacy of such historical proportion.
Dear editors, could you please contact Prof. Santilli and ask him what is the strongest evidence supporting Einstein's vision that quantum mechanics is 'incomplete'? Thanks. Cwe6io
Dear Cwe6io, thanks for your interest and important question. I never accepted the completeness of quantum mechanics since the time of my graduate studies in physics in the 1960s at the University of Torino, Italy. In the course of time,, I have provided three proofs of increasing complexities of Einstein's vision on the lack of completeness of quantum mechanics. Here is a non-technical outline with technical references.
1) 1967 PROOF OF THE EPR ARGUMENT
FOR IRREVERSIBLE SYSTEMS OF EXTENDED PARTICLES
Inspired by Einstein, I cannot accept quantum mechanics as a final theory because said mechanics was conceived and verified for isolated systems of point p[articles in vacuum, such as the atomic structure, thus being strictly reversible over time, s established by the invariance under anti-Hermiticity (time reversal) of the brackets of the time evolution, the Lie product [A, B] = AB - BA = - [A, B]† between two Hermitean operators A, B. Consequently, quantum mechanics is completely unable to provide a consistent representation of the irreversibility over time of high energy scattering processes, nuclear fusions and all energy releasing processes in dramatic disagreement with thermodynamics. Therefore, during my graduate studies I initiated the search for a completion of quantum mechanics into a form incorporating irreversibility. After learning that the ultimate structure of quantum mechanics is given by Lie algebras I spent the entire 1966 year at various European mathematical libraries to locate a covering of Lie algebras and finally did locate Albert's notion of Lie-admissible algebras (i. e., , algebras with product (A, B) such that the attached anti-symmetric product (A, B) - (B, A) = [A, B]* is Lie). Therefore, I published in 1967 my Ph. D. Thesis on the embedding/completion of Le algebras into their Lie-admissible covering with product (A, B) = pAB - qBA;. In subsequent works of 1967-1968, I introduced the time evolution
(where p and q are non-null scalars) which is irreversible whenever p ≠ q due to the breaking of the anti-Hermiticity of the product (A, B) ≠ -(A, B)†. When I joined Harvard University in the late 1970s under DOE support, I proposed the construction of a completion of quantum mechanics into hadronic mechanics with basic Lie-admissible algebras (A, B)* = ARB - BSA where R(t, ...) and S(-t, ...) are non-singular Hermitean operators representing the extended character of hadrons in forward and backward motion, respectively,and proposed the completion of quantum mechanics into hadronic mechanics for irreversible systems with basic dynamical equations given by the Lie-admissible generalization of Heisenberg's equations
which are clearly irreversible for R ≠ S. Eqs. (2) were introduced for the first time in my 1978 Harvard's paper, see Eqs. (4.15.34b), page 746, and then treated in details in the monographs with Springer-Verlag, see Volume II, 1981, Foundations of Theoretical Mechanics, page 163. The latest presentation at Nuovo Cimento irreversible Lie-admissible dynamics includes the proof of the universality of law (2) for all possible irreversible processes and the proof that the classical image of Eqs.. (2) is given by the Historical Lagrange's and Hamilton's equations, not the truncated form used for quantum mechanics, but the original forms with external terms representing irreversibility. Experimental verifications and industrial applications of Lie-admissible law (2) for nuclear fusions and other energy releasing processes are available in Section 3 of f the 2016 general reviews.
The point important for Cwe6io's question is that Bell's inequality, von Neumann theorem and related works cannot be consistently defined under irreversibility due to the loss of 'all' Lie algebras, let alone that of the quantum time evolution and off the SU(2) spin algebra, thus establishing the validity of Einstein's vision on the lack of completeness of quantum mechanics beyond credible doubts.
2) 1998 PROOF OF THE EPR ARGUMENT
FOR REVERSIBLE SYSTEMS OF EXTENDED PARTICLES
I never accepted the quantum mechanical description of nuclear structures as ideal spheres containing point-like nucleons because of excessive - at time embarrassing - differences between the predictions of the theory and nuclear experimental data beginning with the simplest nucleus, the deuteron. Therefore, in the same originating paper of 1978, I proposed the particular case of Lie-admissible algebras known as Lie-isotopic (or Lie-Santilli)algebras occurring for R = S = T = T† > 0 representing volumes and densities of hadrons, and Lie-isotopic brackets [A, B]* = ATB - BTA (see the latest paper on Lie-Santilli isotheory and references quoted therein). I then proposed the simpler branch of hadronic mechanics with Lie-isotopic generalization of Heisenberg dynamical equations
vwhich verifyt the ten conventional total conservation laws. Eqs. (3) were first introduced in my 1978 Harvard's paper, see Eqs. (4.15.49), page 752, and treated in details in the two monographs, see Volume II, 1981, Foundations of Theoretical Mechanics, page 153. The first known exact representation of nuclear magnetic moments and spins, additional experimental verifications and industrial applications of hadronic mechanics with dynamical equations (3) - when applicable - are available in Section 2 of f the 2016 general reviews. My 1998 proof of the EPR argument came out as a natural consequence of the Lie-isotopic generalization of Lie's theory in general, and of Pauli's matrices in particular, for extended, deformable and hyperdense nucleons in conditions of partial mutual penetration with consequential under linear and non-linear, local and non-local and potential as well as non-potential interactions fully treatable by hadronic mechanics but beyound any dream of treatment via quantum mechanics .
3) 1998 PROOF OF THE EPR ARGUMENT
VIA HIDDEN VARIABLES
Another aspect of 20th century sciences I could not accept is the widespread belief that "quantum mechanics does not admit hidden variables λ," because such a belief tacitly assumes or implies our achievement of terminal mathematical knowledge. In reality, mathematics is still at its infancy and so many new mathematics remain to be discovered. In fact, the central idea of all my studies is the generalization of the conventional associative product AB into the axiom-preserving isoproduct
which implies a generalization of all mathematics I learned at the graduate school since it must be applied to all possible products, including the product of numbers, functions, matrices, operators, etc. .Then, in my view, the ensuing new mathematics provides an explicit and concrete realization of hidden variables via the simple realization
My 1998 proof of the EPR argument via hidden variables then follows from realization (5), of course, under a technical knowledge of the Lie-Santilli-isotheory in general and the isotopies of Pauli's matrices in particular.The point here important is that hidden variables are indeed prohibited by the 20th century realization of the basic axioms of quantum mechanics, that with the simple associative product Ab. By contrast, hidden variables are fully admitted by the basic axioms of quantum mechanics under the more general realization of the product A*B = ATB, thus explaining their true 'hidden'' character, to such an extent that quantum and hadronic mechanics coincide at the abstract, realization-free level by conception and construction.. Ruggero Maria Santilli (email: email@example.com)
I would like study Prof. Santilli's Lie-isotopic formulations prior to studying the more complex Lie-admissible covering. Can anybody explain to a non-expert the main assumptions used by Prof. Santilli in his 1998 proof of the EPR argument http://www.santilli-foundation.org/docs/Santilli-27.pdf? Thank you. Csd37ty
Csd37ty//Post 3, here are Santilli's basic assumptions you requested, mostly in his own words,:
4.1. . Hadrons must be represented as they are in nature, that is, extended, deformable and hyperdense.
4.2. Extended hadrons are in conditions of mutual penetration as occurring, for instance, in nuclei. This second condition is necessary because extended and isolated hadrons in vacuum can one well approximated as being point-like, thus verifying quantum mechanics and related uncertainties..
4..3. Under conditions 2.1. and 2.2, we have the non-linear, non-local and non-potential interactions playing a crucial role in Santilli's proof of the RPR argument, as you can verify. It should be recalled from Santilli's analysis that the latter non-Hamiltonian interactions cannot exist without the mutual penetration of hyperdense charge distributions.
The rest of the http://www.santilli-foundation.org/docs/Santilli-27.pdf can be derived from the above three basic assumptions via compatibility arguments. For instance, the conditions of non-hamiltonian character combined with the condition of time reversal invariance, restrict all possibilities to Santilli's Lie-isotopic formulations with dynamical equations (3), and the same holds for other aspects. Xwe40io
Can anybody indicate how Prof. Santilli represented assumptions 4.1, 4.2, and 4.3 in a form as elementary as possible? Csd37ty
Csd37ty/Post 5 if you believe that structurally new assumptions 4.1, 4.2 and 4.3 Can be represented with 20th century mathematics, I suggest you should jump in a lake to cool down. The mathematics represents said assumptions did not exist and Santilli had to build his new isomathematics to achieve the needed representation. If you want to be a "researcher," you got to sit down and study it. Xwe40io
Xwe40io/Post 6, could you please indicate the foundations of Santilli's new isomathematics used in the proof of the EPR argument? Csd37ty
Hi Csd37ty/Post 7,, that's it to my knowledge. After joining the Department of Mathematics of Harvard University under DOE support, Santilli had a true stroke of genius because in one single mathematical assumption, he represented all conditions 4.1, 4.2,, 4.3 . In fact, Santilli introduced the generalization of the product AB between "all" possible quantities A, B (numbers, functions, matrices, operators, etc.) into form (4) (see page 160, Vol. II of Santilli's Foundations of Theoretical Mechanics) and preceding literature) where the quantity T , called the isotopic element, is solely restricted to be positive definite, but otherwise having an arbitrary dependence on the characteristics of the hyperdense medium considered, such as time t, coordinates r, momenta p, wavefunctions ψ, pressure τ, temperature ξ, etc.). The axiomatically important aspect s that the new product A*B (I am here copying Santilli's words) is "isotopic" in the Greek sense of remaining associative A*(B*C) = (A*B)*C.
To see the huge implications, you have to understand that extremely simple assumption (4) implies the generalization of the totality of the 20th century applied mathematics and of related physical and chemical formulations, all generalizations indicated in the above monograph.
Santilli then introduced the following realization of the isotopic element
where n12, n22, n32 are the semiaxes of the hadrons assumed as ellipsoids and n42 represents the density of the hadron considered, all n's being normalized to the value n = 1 in vacuum. As everybody can see, realization (5) represents indeed all conditions 4.1,4.2, and 4.3, the later conditions (non-Hamiltonian interactions) being represented by the exponential function. Realization (5) also represents for the first time nuclei as a collection org extended and hyperdense nucleons in conditions of partial mutual penetration (see the r.h.s. of Figure 4).
In 1993, Santilli recognized that, for consistency, isomathematics had to be formulated over new numbers, today known as santilli isonumbers n' = nU with isoproduct (4) and arbitrary unit U, called Santilli isounit,
first introduced in the paper isonumbers, which verifies indeed the axiom of a multiplicative unit, U*n' = n'*U = n'. Once isomathematics is formulated over isofields, then all scalar quantities must have the structure of an isonumber, e.g., the isocoordinates must have for consistency the form r; = rU.
In 1996, santilli realized that a representation of extended, deformable and hyperdense hadrons via realization of type (5) elaborated via Newton's differential calculus is grossly inconsistent because the former is solely defined on volumes, while the latter is solely defined on points. Therefore, he had the courage of re-generalizing Newton;'s differential calculus into a form called Santilli isodifferential calculus with basic isodifferential< and isoderivative/p>
first introduced in the mathematical memoir isodifferential calculus, that has extended, for the first time in history, Newton's differential calculus defined for isolated points into a new differential calculus defined on volumes represented by the isotopic element T or the isounit .
In his 1981 monograph on Foundations of Theoretical Mechanics, Santilli introduced an isotopic generalization of the various branches of Lie's theory, today known as the Lie-Santilli isotheory, with basic isocommutator rules
The latter theory was then used in 1998 for the lifting of the SU(2) spin (which is necessary to define the spin of an extended, deformable and hyperdense particle under non-Hamiltonian interactions) and consequently proved the EPR argument.
Isomathematics is today refereed to a mathematics based on isoproduct (4), defined on an isofield with isounit (6) and elaborated with the isodifferential calculus, thus including a compatible isotopic generalization of functions, metric spaces, geometries, topologies, etc. (see the quoted paper for vast contribution by mathematicians I cannot possibly quote here).
Finally, sd37ty/Post 7 allow me to warn you against the posture assumed by some that "Santilli mathematics is too complicated." This is a non-scientific and self-disqualifying posture because the (regular branch of) isomathematics can be constructed via non-unitary transforms
Dear Xwe40io/Post 8, could you please indicate how Prof. Santilli escaped the uncertainty principle as a necessary condition to prove the EPR argument? Thanks. Csd37ty
Dear Csd37ty/Post 9, to answer your question you have to accept the idea of extended and hyperdense protons and neutrons in conditions of partial mutual penetration as occurring in a nuclear structure, (Figure 4 of Prof. Santilli's interview) you have to understand the emergence of nonHamiltonian forces, you have to understand the mathematics for their representation and, above all, admit that the assumption of the exact validity of Heisenberg's uncertainty in the interior of a nucleus is non-scientific The serious physics states: We do not know. After you see all the above, you have to study hadronic mechanics. Here is the gist to my knowledge. From Santilli isodifferential calculus, Eqs. (7), the hadronic isomomentum is uniquely defined by
It is then easy to see that isolinear momenta isocommute on isospace over isofields by therefore confirming the principle of isotopies
This occurs because the isotopic element T of the isoproduct "*" , Eq. (1) cancels out with its inverse, the isounit U =1/T. However, isomomenta no longer commute in our spacetime,
because, in the absence of the isotopic product, the derivative does act non-trivially on the isounit U due to its general dependence on local coordinates, and his eliminates Heisenberg's uncertainty principle for the study of interior problems and actually replace it with a much more general principle. Cheers PS. People who thinks that this violates experimental evidence state so out of ignorance, Prof. santilli has proved that the above generalization solely holds locally in the interior of nuclei, while recovering the conventional uncertainty for their center of mass.. In fact, when isolated, nuclei represented with isotopic element (5) verify all ten total conservation laws 9see the Lorentz-Poincare'-Santilli isosymmetry in the references of Post 2).
The above expressions illustrate the crucial importance of Santilli's isodifferential calculus (9) because, in its absence, there was no possibility of achieving a consistent definition of linear momentum in hadronic mechanics. In fact, as stated various times by Prof. Santilli: Prior to the discovery of the isodifferential calculus in 1996, we had no means of confronting hadronic mechanics with experimental data because we did not know how to define its angular momentum, its basic commutation rules, etc.Xwe40io
Dear Xwe40io/post 10 , thanks for your great help. Hoping not to abuse your time, I have one final point to understand before studying Prof. Santilli';s 1998 proof of the EPR argument. My question is related to the general belief that quantum mechanics does not admit "hidden variables" which belief was then used as an alternative objection against the EPR argument. What is Prof. Santilli's proof that "hidden variables" do exist? Thanks again, Csd37ty
Dear Csd37ty/Post 11, thanks for another important question deserving attention. The answer is so simple to appear trivial. Prof. Santilli proved that all basic axions of quantum mechanics admit "hidden variables" in the very notion of product. Hence, his first , and most fundamental assumption of the isoproduct Eq. (1) is an explicit and concrete realization of "hidden variables" realized via the isotopic element T in the isoproduct (4). To see it, recall that T = 1 for the conventional realization of quantum mechanics, that used by Bohr. Hence, in his 1998 paper Prof. santilli assumes Det T = 1 with concrete and explicit realization (5) of hidden variables . The third d proof of the EPR argument, that based on "hidden variables," then becomes elementary, see the 1998 paper http://www.santilli-foundation.org/docs/Santilli-27.pdf
. Good luck . Xwe40io
I Nominated Prof. Ruggero M. Santilli for the 2019 Nobel Prize in Physics for his 1998 historical paper on the proof of the EPR argument: R. M. Santilli, "Isorepresentation of the Lie-isotopic SU(2) Algebra with Application to Nuclear Physics and Local Realism," Acta Applicandae Mathematicae Vol. 50, 177 (1998), http://www.santilli-foundation.org/docs/Santilli-27.pdf. Department of Physics, University of ......., Tdf55yy
In the e: Russian Physics Journal, Vol. 61, No. 3, July, 2018 (Russian Original No. 3, March, 2018) Quantum field approach in classical physics and geometrodynamics, V. Lasukov has shown the following: A second-quantization treatment of the solution of the equation of classical mechanics is carried out. It is shown that all of the information about the multi-particle process of creation of a pair of scalar particles by a non-stationary potential barrier is contained in the solutions of Newton's one-particle equation. The corresponding solution does not depend on Planck's constant. It is shown that for any spatial quantum problem there exists a temporal classical analog. The obtained results can be used in quantum geometrodynamics. Qet450uo
My electron theory from 1983 up to 2000 deals with Einstein's GR theory completed by the principle of Thermodynamics. The surprising result and not expected at all is:
1. the mass is not a point particle
2. masse and charge both depend on the fine structure Constant
3. The FSC is derived by this theory
4. The second law reveals the nature of Quantum Gravity based on GR And explains dark matter as entropy increaser.
In one word: The hypothesis: the electron is a point particle is wrong. Pfdg38ty
It seems to me that Santilli is one of few scientists who has attempted not to to build on Quantum Mechanics, but to accept Einstein's views, and to develop his own theories. Also, as a Dane I want to point out that I agree with Santilli that Niels Bohr was absolutely not a sympathizer of the Nazis although he worked with German physicists in the early thirties. Supposedly his mother was Jewish, and the story of his sudden and dramatic escape from Nazi-occupied Denmark to England in a small plane is not unknown. He was lying on the floor of the plane barely able to stretch out. I think of science as many building blocks that never end. Vsd33iup
My dear Bdf58hj, you want to enter into the opaque politics at Harvard University? The records at the DOE indicate that the research contracts were administered by Harvard's MathematicsDepartment with the mathematician Prof. Shlomo Sternberg as Principal Investigator and Prof. RT. M. Santilli as co-investigator who had his office at the Department of Mathematics, Figure 5 of the PubRelCo Interview. This is the evidence. The additional evidence is that Prof. Santilli's mathematical discoveries at Harvard have been superior to those of his colleagues there since the latter worked on extremely advanced yet small mathematical details, while Prof. Santilli generalized all of mathematics, as you can see from Post 8. The rest is Harvard's opaque politics I prefer to be silent. Bdf58hj
Einstein was right when he did not agree with the EPR experiment conclusions and had said, "spooky action at a distance"? cannot occur and that, "God does not play dice"?. See page 11: Linear Polarization http://vixra.org/pdf/1303.0174v5.pdf. Lwe11op
Lwe11op/Post 18, Thank you, thank you for those refreshing memories that, unfortunately are maliciously forgotten by the establishment! cdf47uo
I now understand from Santilli's Post 2 the reason that tsuggered the Estonia Academy of Sciences to list Santilli among the most illustrious applied mathematicians of all times with the quotation precisely of his Ph. D. Thesis on Lie-admissible formulations. all this occurring in 1990 under USSR domination and without any previous contact with Santilli (see Figure 10 below). The listing is self-qualifying for so many who have opposed for decades Santilli's research to honor Einstein. Bsd34o
Figure 10. Santilli 's 1990 Nomination by the Estonia Academy of Sciences among the most illustrious app>lied mathematicians of all times