It is one of the most elegant, symmetric and beautiful mathematical expression, which is used very effectively for quantitative representation of diverse characteristics in almost all branches of human endeavor, not just in physics and engineering. Here is one simple example to illustrate that we are getting lost in the beauty and elegance of math. This approach resolves many non-causal interpretations used by physicists in QM (single-photon interference, entanglement, etc.), like our predecessor scientists of 1600 through 1800, optical scientists and engineers should again pick up the leading roles in re-formulating and re-directing the evolution of physics to discover nature’s objective reality to assure our sustainable evolution. Better guidance comes from causal system engineering thinking in re-interpreting major optical phenomena. Many misinterpretations in QM and Relativity can be traced to our conceptual failures summarized above. The author explained these in his book, Causal Physics, Taylor & Francis, 2014. We also fail to differentiate between un-measurable, mathematically linear, Superposition Principle (SP) from the measurable nonlinear (square modulus) Superposition Effect (SE), displayed by detectors as their physical transformation after the absorption of energy out of all the stimulating waves, not just one wave, as our math correctly indicates. NIW automatically underscores the non-physicality of summing infinite Fourier modes to obtain finite spatio-temporal energy pulse in the absence of interacting materials. This is Non-Interaction of Waves (NIW), underscored by Huygens by 1690, even though Fresnel (1817) has mathematically accommodated NIW into the Huygens-Fresnel diffraction integral again without calling it out as such. Optical scientists have also failed to recognize explicitly a critical property of waves. These fields are now telling nature how she ought to behave, rather than humbly trying to discover how she actually works. However, starting about the middle of 1900, Optics veered out more as an applied field, leaving the development of fundamental physics in the hands of theoretical physicists dealing with Relativity and QM.
Optical science and engineering played the key roles during 16 in developing Classical Physics including Astrophysics, and then guided the emergence of Relativity Physics and Quantum Physics through the 1900’s. We will present examples on how understanding NIW in optical phenomena can help us bring out causal interpretations and causal models in some of the key branches of Physics. System engineering thinking will be underscored that can constrain our math models to stick to realities. NIW indicates that simple superposition of Fourier modes, in the absence of interacting materials, cannot generate spatio-temporal re-grouping of wave energies. time dilation), to Quantum Mechanics (Superposition Principle) and Astrophysics (Holographic Universe) arise due to the (i) use of non-causal Fourier modes (existing in all space) as tools of nature’s reality and (ii) neglect of Non-Interaction of Waves (NIW). We will explain how the various erroneous interpretations related to Relativity (e.g. Recent publications by physicists Smolin, “Trouble with Physics”, 2007 and Hossenfelder, “Lost in Math”, 2018, are deeply troubling for the future of Physics and our credibility as the gatekeeper of the enabling knowledge of Optical Physics. Optical science and engineering have been playing key enabling roles behind the continuous advancement of physics since ancient times. “Unreasonable Power of Mathematics” and its limitations Insufficiency of Measurable Data Modeling Epistemology (Incorporate Interaction Process Mapping Epistemology, or IPM-E) Causality is at the core of understanding nature LESSONS LEARNED – ADVANCING OUR EPISTEMOLOGY
Superposition Effects in Polarization Phenomenon in light of NIW Superposition Effects in Material Dispersion Phenomenon in light of NIW Superposition Effects in Laser Mode-Lock Phenomenon in light of NIW Superposition Effects in Coherence Phenomenon in light of NIW
Superposition Effects in Interference Phenomenon in light of NIW Superposition Effects in Diffraction Phenomenon in light of NIW Superposition Principle (SP) vs Superposition Effect (SE) in light of NIW Entanglement, Bell’s Theorem & Ensemble Interpretation (in view of hard causality) Superposition Effects due to particles without duality Photoelectric Effect due to random superposition of many wave packets Superposition Effects with Hybrid Photons without Duality Measurement Problem (Ensemble Interpretation) Quantum Optics in view of NIW (Non-Interaction of Waves) CLASSICAL AND QUANTUM OPTICS IN VIEW OF NIW Astrophysics and Cosmology in light of CTF PHYSICS GUIDED BY THE CONCEPT OF A COMPLEX TENSION FIELD (CTF) BACKGROUND OF THINKING BEHIND STRUCTURING THIS PAPER
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