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Mutual Energy, Canada
Mutual Energy, Canada
Revolutionizing Electromagnetic and Quantum Theory
The Vision: Beyond Maxwell, Redefining Energy Flow
The Vision: Beyond Maxwell, Redefining Energy Flow
Mutual Energy Canada is dedicated to the fundamental research of photons and electromagnetic waves. While Maxwell's equations have long been the cornerstone of classical electromagnetism, they encounter significant limitations when describing the particle-like nature of photons. Our research reveals that classical theory is essentially a "Self-Energy Flow" theory, where energy (represented by the Poynting vector) is generated by a source and radiates divergently into infinite space. This contradicts the observed behavior of photons, which travel "point-to-point"—originating at a source and annihilating at a sink.
The Breakthrough: The Mutual Energy Flow Theorem
The Breakthrough: The Mutual Energy Flow Theorem
We have developed and refined the Mutual Energy Flow Theorem, introducing a paradigm shift in how we understand energy transfer.
Physical Essence: Mutual energy flow is formed by the superposition of retarded waves from the source and advanced waves from the sink. It is generated at the source and annihilated at the sink, perfectly aligning with the discrete, particle-like characteristics of photons.
Theoretical Revision: To realize this theory, we have moved beyond the traditional Maxwellian framework. In classical theory, self-energy flow is treated as active power, while mutual energy flow is relegated to reactive power. Our theorem inverts this relationship: mutual energy flow becomes the true active power (responsible for energy transfer), while self-energy flow becomes reactive power.
A New Axiom: A profound consequence of this revision is the axiom that "Radiation does not overflow the universe." Unlike classical theory, where radiation escapes into infinity, our theory posits that electromagnetic energy is exchanged exclusively between sources and sinks. This effectively negates the necessity of a "luminiferous aether" or the field as an independent entity in space.
Mission: Global Advocacy and Engineering Application
Mission: Global Advocacy and Engineering Application
We have successfully extended the Mutual Energy Flow Theorem to Quantum Mechanics and Quantum Field Theory. Despite these advancements, the theory has yet to be fully integrated into mainstream scientific and engineering curricula. The goals of Mutual Energy Canada are:
Advocacy & Education: To promote and disseminate the Mutual Energy Flow theory, fostering a deeper understanding among scientists and engineers worldwide.
Collaboration & Application: To seek strategic partnerships within the academic and industrial sectors to explore the practical applications of this theory in fields such as antenna engineering, wireless power transfer, and quantum technologies.
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Publications List of Dr. Shuang-ren Zhao
Publications List of Dr. Shuang-ren Zhao
Publications in Computer Tomography:
1) Shuangren Zhao, Kang Yang, Xintie Yang, Reconstruction from truncated projections using mixed extrapolations of exponential and quadratic functions. J Xray Sci Technol. 2011 ;19 (2):155-72
2) Shuangren Zhao, Kang Yang, Dazong Jiang, Xintie Yang, Interior reconstruction using local inverse, J Xray Sci Technol. 2011; 19(1): 69-90S
3) Shuangren Zhao, Jasjit Suri, Improved 3D Reconstruction Algorithm for Ultrasound B-scan Image with Freehand Tracker, SPIE Medical image 2009.
4) S. Zhao, D Jaffray, Iterative reconstruction and reprojection for truncated projections, AAPM 2004, Abstract in Medical Physics 2004, Volume 31, P1719
5) Shuang-Ren Zhao, Halling, H. Reconstruction of cone beam projections with free source path by a generalized Fourier method. Source: Proceedings of the 1995 International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, p 323-7, 1995
6) Zhao, S.-R. Halling, H. A new Fourier method for fan beam reconstruction. Source: 1995 IEEE Nuclear Science Symposium and Medical Imaging Conference Record (Cat. No.95CH35898), p 1287-91 vol.2, 1995
7) Zhao S.R. and H.Halling A New Fourier Transform Method for fan Beam Tomography", published in 1995 Nuclear Science Symposium and Medical imaging Conference
8) Zhao Shuang-ren, Host Halling, Tomography (PET, SPECT, X-ray CT), imaging restoration and coded aperture, Interner Bericht KFA-ZEL-IB-500994
9) Zhao Shuang-ren, Fan beam and cone beam imaging reconstruction using the method of the back projection on frequency domain, November 1998, Ph.D. thesis R814-49 in XiAn Jiao Tong University, P. R. of China
10) Zhao S.R., H. Halling, Image Reconstruction for Fan Beam Tomography Using a New Integral Transform Pair, published on: International Symposium on Computerized Tomography in Novosibirsk, Russia, August 10-14, 1993. Abstracts ed. M.M. Lavrentev, P125
11) Zhao S.R. and H. Halling, A New Fourier Method for Fan Beam Reconstruction published on The International Symposium on Computerized Tomography in Novosibirsk, Russia, August 10-14 1993. Abstracts ed. M.M. Lavrentev, P125
12) Shuangren Zhao, Xintie Yang, Iterative reconstruction in all sub-regions, SCIENCEPAPER ONLINE, 2006, 1(4)
Publications in Magneto-encephalography
13) Shuang-Ren Zhao, Horst Halling, Minimum L1 Norm MEG Reconstruction Minimising Signal Deviation Using A Reduced Lead Field, published on 18th Annual International Conference IEEE Engineering in Medicine and Biology Society October 31, 1996
14) S.R. Zhao, H.Heer, A. A. Ioannides, M.Wagener, H. Halling, H.-W. Müller-Gärtner Interpolation of Magnetic Fields and Its Gradients for MEG Data with Spline Functions", published on the meeting of Bildverarbeitung für Medizin Algorithmen, Systeme, Anwendungen, November 8, 1996 in RWTH Aachen
15) Shuang-Ren Zhao, Johannes Grotendorst and Horst Halling, Calculation of the Potential Distribution for a Three-Layer Spherical Volume Conductor, published in Maple Technical Newsletter Volume 2, Number 1, 1995
16) Zhao Shuangren Jiang Dazong, Best Minimization to Locate the Brain Sources of Magnetic Waves, Biomedical Engineering Magazine (China) 1999 No. 4, Volume 16.
17) Zhao Shuangren, Jiang Dazong, Locating the Brain Sources by Applying the Combination the Method of Minimization with Three Object Functions and the Method of Singular Value Decomposition to the Signals of Brain Magnetic Fields, Beijing Biomedical Engineering Magazine 1999 No.2, Volume 18
Publications in electric and magnetic fields and microwave technology in China
18) Zhao S.R., Model Conjugation Calculation of Wave Guide in the Discontinuous" published on Journal of Communication and Control No. 4, Dec. 1989. P. R. of China, P1
19) Zhao S.R., "Model Conjugation Calculation of Co-axes Wave Guide in the discontinuous", published on Journal of Communication and Control, No. 2, June 1990. P. R. of China, P5
20) Zhao S.R, Circular wave-guide Co-axis wave-guide TE11 mode ladder-like wave converter designing", published on Journal of Communication and Control, No.1, March 1991. P. R. of China, P48
21) 赵双任. 互能定理在球面波展开法中的应用. 电子学报. 1987,15,3: 88–93.
22) 赵双任. 电磁场“互能公式”在平面波展开理论中的应用. 电子科学学刊(现名：电子与信息学报). 1989, 11,2: 204–208.
23) 赵双任. 应用电磁场“互能公式”简化电磁场公式的符号表示. 电子科学学刊(现名：电子与信息学报). 1989, 11,1: 73–77.
Publications in photon and mutual energy flow in EM and QM
2017-2020 4篇
1) Shuang ren Zhao. A new interpretation of quantum physics: Mutual energy flow interpretation. American Journal of Modern Physics and Application, 4(3):12_23, 2017.http://www.openscienceonline.com/journal/archive2?journalId=726&paperId=4042
2) Shuang-ren Zhao, Photon Can Be Described as the Normalized Mutual Energy Flow. Journal of Modern Physics Vol.11 No.5, May 2020. DOI: 10.4236/jmp.2020.115043 https://www.scirp.org/journal/paperinformation.aspx?paperid=100036
3) Shuang-ren Zhao, A solution for wave-particle duality using the mutual energy principle corresponding to Schrödinger equation, DOI - 10.1490/ptl.dxdoi.com/08-02tpl-sci https://hal.science/hal-02270483v1
4) Shuang-ren Zhao, Huygens principle based on mutual energy flow theorem and the comparison to the path integral, Physics Tomorrow Letter, November, 2020.
https://hal.science/hal-02270471
2022 5篇
5) shuang-ren Zhao, Solve the Maxwell's equations and Schrodinger's equation but avoiding the Sommerfeld radiation condition, Theoretical Physics Letters
2022 ° 26(04) ° 10-05 https://hal.science/hal-03271791v1
6) Shuang-ren Zhao. Mutual stress flow theorem of electromagnetic field and extension of newton's third law. Theoretical Physics Letters, 10(7),2022. https://hal.science/hal-03221429v1
7) Shuang ren Zhao. The paradox that induced electric field has energy in Maxwell theory of classical electromagnetic field is shown and solved. International Journal of Physics, 10(4):204{217, 2022. http://article.internationaljournalofphysics.com/pdf/ijp-10-4-3.pdf
8) Shuang ren Zhao. The theory of mutual energy flow proves that macro-scopic electromagnetic waves are composed of photons. International Journal of Physics, 10(5), 2022. http://article.internationaljournalofphysics.com/pdf/ijp-10-4-4.pdf
9) Shuang-ren Zhao, The Contradictions in Poynting Theorem and Classical Electromagnetic Field Theory, International Journal of Physics, 2022, Vol. 10, No. 5, 242-251. http://article.internationaljournalofphysics.com/pdf/ijp-10-5-1.pdf
2023 6篇
10) [28] Shuang-ren Zhao, Energy Flow and Photons from Primary Coil to Secondary Coil of Transformer, International Journal of Physics. 2023, 11(1), 24-39. DOI: 10.12691/ijp-11-1-4 Energy Flow and Photons from Primary Coil to Secondary Coil of Transformer (sciepub.com)
11) [29] Shuang-ren Zhao Energy Conservation Law and Energy Flow Theorem for Transformer, Antenna and Photon International Journal of Physics. 2023, 11(2), 56-66. DOI: 10.12691/ijp-11-2-1 Energy Conservation Law and Energy Flow Theorem for Transformer, Antenna and Photon (sciepub.com)
12) Shuang-ren Zhao. Experiment to Prove the Existence of the Advanced Wave and Experiment to Prove the Wrong Definition of Magnetic Field in Maxwell’s Theory. International Journal of Physics. 2023; 11(2):73-80. doi: 10.12691/ijp-11-2-3 Experiment to Prove the Existence of the Advanced Wave and Experiment to Prove the Wrong Definition of Magnetic Field in Maxwell’s Theory (sciepub.com)
13) Shuang-ren Zhao. Calculate the Energy Flow of Transformers, Antenna Systems, and Photons by Redefining the Radiated Electromagnetic Field of Plane-sheet Current. International Journal of Physics. 2023; 11(3):136-152. doi: 10.12691/ijp-11-3-3. Calculate the Energy Flow of Transformers, Antenna Systems, and Photons by Redefining the Radiated Electromagnetic Field of Plane-sheet Current (sciepub.com)
14) Shuang-ren Zhao. Definition, Measurement and Calibration of Magnetic Field of Electromagnetic Wave – Correct the Defects of Maxwell’s Classical Electromagnetic Field Theory. International Journal of Physics. 2023; 11(3):106-135. doi: 10.12691/ijp-11-3-2. Definition, Measurement and Calibration of Magnetic Field of Electromagnetic Wave – Correct the Defects of Maxwell’s Classical Electromagnetic Field Theory (sciepub.com)
15) Shuang-ren Zhao. Calculate the Energy Flow of Transformers, Antenna Systems, and Photons Through a New Interpretation of the Classical Electromagnetic Fields. International Journal of Physics. 2023; 11(5):261-273. doi: 10.12691/ijp-11-5-5. Calculate the Energy Flow of Transformers, Antenna Systems, and Photons Through a New Interpretation of the Classical Electromagnetic Fields (sciepub.com)
2024 9篇
16) Shuang-ren Zhao. Discussion on the Correction of Classical Electromagnetic Wave Theory Through Transmission Lines. International Journal of Physics. 2024; 12(1):1-18. doi: 10.12691/ijp-12-1-1 https://www.sciepub.com/ijp/abstract/15756
17) Zhao, S. R. (2024). New Law or Boundary Condition of Electromagnetic Wave Theory: Radiation Shall Not Overflow The Universe. OA J Applied Sci Technol, 2(1), 01-46.https://www.opastpublishers.com/open-access-articles/new-law-or-boundary-condition-of-electromagnetic-wave-theory-radiation-shall-not-overflow-the-universe.pdf
18) Zhao, S. R. (2024). Distinguish Between The Average Magnetic Field On A Circular Coil And The Original Definition Of Magnetic Field, And Correct The Serious Loopholes In Classical Electromagnetic Theory. OA J Applied Sci Technol, 2(1), 01-29.https://www.opastpublishers.com/open-access-articles/distinguish-between-the-average-magnetic-field-on-a-circular-coil-and-the-original-definition-of-magnetic-field-and-corr.pdf
19) Zhao, S. R. (2024). Using the Method of Contradiction to prove that the Definition of Magnetic Field in Maxwell? Theory is Incorrect. OA J Applied Sci Technol, 2(2), 1-12. https://www.opastpublishers.com/open-access-articles/using-the-method-of-contradiction-to-prove-that-the-definition-of-magnetic-field-in-maxwells-theory-is-incorrect.pdf
20) Zhao, S. R. (2024). Particles Are Mutual Energy Flows and Waves Are Reactive Power without Collapse. OA J Applied Sci Technol, 2(2), 01-22. https://www.opastpublishers.com/open-access-articles/particles-are-mutual-energy-flows-and-waves-are-reactive-power-without-collapse.pdf
21) Zhao, S. R. (2024). The Theory of Mutual Energy Flow of Transformer, Antenna and Photonic System is Verified by the Example of Electromagnetic Wave of Plane-Sheet Current. Eng OA, 2(4), 01-14. https://www.opastpublishers.com/open-access-articles/the-theory-of-mutual-energy-flow-of-transformer-antenna-and-photonic-system-is-verified-by-the-example-of-electromagneti.pdf
22) Zhao, S. R. (2024). Review of the Advanced Waves Inside the Transformer, Antenna and Photon System. OA J Applied Sci Technol, 2(3), 01-16 https://www.opastpublishers.com/open-access-articles/review-of-the-advanced-waves-inside-the-transformer-antenna-and-photon-system.pdf
23) Zhao, S. (2024). The Radiation of Infinite Current Sheets Considering a Half Retarded and Half Advanced Field Rather than Potential. Eng OA, 2(3), 01-15. https://www.opastpublishers.com/open-access-articles/prove-that-the-half-retarded-and-half-advanced-electromagnetic-theory-is-equivalent-to-maxwells-classical-electromagneti.pdf
24) Zhao, S. (2024). Prove That the Half Retarded and Half Advanced Electromagnetic Theory is Equivalent to Maxwell’s Classical Electromagnetic Theory. Eng OA, 2(3), 01-20. https://www.opastpublishers.com/open-access-articles/prove-that-the-half-retarded-and-half-advanced-electromagnetic-theory-is-equivalent-to-maxwells-classical-electromagneti.pdf
2025 6篇
25) Zhao, S. R. (2025). Green’s Function - Reciprocity Theorem - Mutual Energy Theorem - Huygens’ Principle - Poynting’s Theorem - Mutual Energy Flow Theorem - Law of Conservation of Energy - Photon. Eng OA, 3(10), 01-25.
26) Zhao, S. R. (2025). Is the Photon a Self-Energy Flow or a Mutual-Energy Flow?. OA J Applied Sci Technol, 3(3), 01-10.
27) Zhao, S. R. (2025). Quantum Mechanics Interpretation Using Energy Flow in Transformers. Eng OA, 3(9), 01-32.
28) Zhao, S. R. (2025). Photons with Scalar Fields Should Exist. Eng OA, 3(7), 01-17.
29) Citation: Zhao, S. R. (2024). Correcting the Serious Errors in Maxwell’s Electromagnetic Theory Based on the Action-at-adistance Principle or the Action/Reaction Principle. OA J Applied Sci Technol, 3(3), 01-35.
30) Zhao, S. R. (2024). Quantum Mechanics Based on Particles as Mutual Energy Flow Rather Than Self-Energy Flow. OA J Applied Sci Technol, 3(3), 01-36.
2026 已经完成准备发表的有
31) Zhao, S. R. , Why Maxwell's Electromagnetic Theory, Despite Serious Errors, Often Yields Correct
32) Zhao, S. R. , Electromagnetic Energy Flow from Source to Sink is Mutual Energy Flow, Not Self Energy Flow
33) Zhao, S. R., Reconstruction of Radiation Reaction Based on Full-Spacetime Energy Balance and the Mutual Energy Flow Law
34) Zhao, S. R., Study on Energy Transfer Mechanism Between Primary and Secondary Windings of Transformer Based on Mutual Energy Flow Theory
35) Zhao, S. R., Challenging Maxwell: A Comparative Study of Non-Mainstream Electromagnetic Theory and Advanced AI Thinking Capabilities
36) Zhao, S. R., Resolution of Self-Force Singularities in Dipole Antenna Radiation via the Mutual Energy Flow Theorem
37) Zhao, S. R., Derivation of Energy-Type Electromagnetic Field Reciprocity Theorems from Poynting’s Theorem
Books:
Electromagnetic wave theory of photons
Beyond Maxwell: Electromagnetic wave and photons
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