One axiom. One operation. Zero free parameters. The laws of light — Snell’s refraction, reflection at equal angles, diffraction, interference — are taught as separate rules. This paper forces their unifying principle from the fold. Every law of optics is a statement of wave-matching: at a boundary the phases on the two sides must agree, and the wave-matching condition folds to unison (the half-One closing on the One). Refraction is phase-matching across an interface (Snell’s law); reflection is the symmetric match (equal angles); interference and diffraction are the deterministic summation of matched waves — opposed paths cancel (dark), aligned paths survive (bright), the same deterministic discrete account that resolves the double-slit. One principle: phases match, the matching folds to one. Machine-checked; reproduces from one command. A standalone result within the Smithian Fold Theory of Everything (SFTOE). Full corpus, code, and the run-it-yourself VERIFY.md protocol: https://github.com/MettaMazza/Smithian-Fold-Theory
One axiom. One operation. Zero free parameters. The laws of light — Snell’s refraction, reflection at equal angles, diffraction, interference — are taught as separate rules. This paper forces their unifying principle from the fold. Every law of optics is a statement of wave-matching: at a boundary the phases on the two sides must agree, and the wave-matching condition folds to unison (the half-One closing on the One). Refraction is phase-matching across an interface (Snell’s law); reflection is the symmetric match (equal angles); interference and diffraction are the deterministic summation of matched waves — opposed paths cancel (dark), aligned paths survive (bright), the same deterministic discrete account that resolves the double-slit. One principle: phases match, the matching folds to one. Machine-checked; reproduces from one command. A standalone result within the Smithian Fold Theory of Everything (SFTOE). Full corpus, code, and the run-it-yourself VERIFY.md protocol: https://github.com/MettaMazza/Smithian-Fold-Theory
In making some experiments on the fringes of colors accompanying shadows, I have found so simple and so demonstrative a proof of the general law of the interference of two portions of light, which I have already endeavored to establish, that I think it right to lay before the Royal Society a short statement of the facts which appear to me so decisive. Thomas Young, Bakerian Lecture, November 24, 1803 Interference defined In chapter 3, we framed the question, can we account for the behavior of light by supposing that light is wave motion of some kind? So far, the logic of our response has been of this form: we asked experimentally, do waves have property X that we know light possesses? For “property X ,” we took the existence of reflection the equality of the angles of reflection and incidence the existence of refraction, and Snell's law, in the sense that, in refraction, the ratio of sines is independent of the angle of incidence. Each time, we could answer, yes, waves do have this property X that we know light possesses. Beyond these tests, we found that the wave theory's prediction for the index of refraction – namely, a specific ratio of wave speeds – was resoundingly confirmed by Michelson's measurements of. Things are going well for a wave theory of light. The time has come to shift the perspective and to change the logic of the testing.
This paper investigates the refraction/reflection laws and the double slit interference pattern for particles. We used boundary conditions that consider the discrete and vibrant structure of the matter with which the particles interact, resulting in their scattering, enabling the use of the Huygens and Huygens-Fresnel principles for particles. We managed to obtain results that generalize Snell’s law, the reflection law and Young’s double slit pattern, for regions very close to the refraction/reflection interface and the slits. The choice made of the scattering used, seems to be the key for a mechanical explanation of light and Young’s double slit pattern, including the case of the particles passing through the slit one at a time, therefore, it challenges the validity of the Niels Bohr’s complementarity principle and might be the missing link that reconnects without hierarchies both Classical Mechanics and Quantum Mechanics.
Abstract Since it was born before its physical achievements, light waves, which have almost no physical properties, are an abstract mathematical concept rather than an objective description. Confused by a set of dark and light streaks and a sketchy schematic that had little to do with the actual result, the double-slit test was misjudged as being caused by interfering light waves, so this plausible principle implied disastrous flaws. For example, (1) Just after passing through the double-slit device, the pattern is generated by light early or before interference. By changing the distance between the device and the screen, the pattern is only scaled synchronously without being reconstructed by interference, and imagined light-wave interference does not occur. (2) Interfering light waves can be subdivided into multiple parts and proliferate greatly. (3) A headless wave of light left outside the screen after the head disappears can still induce much interference. (4) There is no interference effect caused by reflected light waves. (5) The effect of polarization direction on interference is neglected, and the interference condition is incomplete. (6) In the mathematical model, not only are the spots with the highest brightness in the position where dark stripes should appear most, but the principle of generating multiple regular dark stripes cannot be found. (7) Since the quantum property must be carried out in the process of interference, if all conditions are not met at the same time, interference will not be triggered, and therefore, the principle of interference will be rejected. (8) Since light comes only from the radiation of the electron transition, it is impossible to generate a light source in a slit that may be a vacuum. (9) In the causality test, to verify the effect of collapse, the photon that has collapsed into a particle should be tested again with a double slit test. (10) Whether the phenomenon of "observed tampering results" obtained by observation has been tampered with. (11) When the phase is shifted π or the signal is reversed, waves become negative waves capable of annihilating themselves, which is typical of antimatter. In this case, matter and antimatter are conjoined. (12) If the general law of waves is followed, not only the targeted light wave passes through the slit. (13) The original version of the double-slit test cannot be reproduced, and the test results are different from those presented by contemporary technology. (14) Waves must obey Fourier's principle, but light waves, quantum waves and matter waves do not. (15) The modulation effect that waves must produce is not present in optical fiber communication. (16) If the light from different slits must interfere with each other, a mask full of slits will cause the lithographer to fail. (17) Since the size is much smaller than the wavelength, the photon is only a sampling of the light wave, but the corresponding physical properties are not presented. (18) The fact that the two stars orbiting each other do not change color only proves that the phenomenon of redshift is impossible but does not support the inference that the speed of light is constant. (19) The Michelson-Morley test process is not open and transparent enough, and pinhole diffraction and mechanical processing using broken lines instead of curves cannot be ruled out. (20) Kepler's law can block Hubble's law and its derivatives, dark matter and dark energy. In conclusion, Newton's particle model was wrong, but neither was the light wave theory.
Abstract Since it was born before its physical achievements, light waves, which have almost no physical properties, are an abstract mathematical concept rather than an objective description. Beguiled by a series of dark and bright streaks, the results of the double-slit test were misjudged as interfering light waves, so this plausible principle implied disastrous flaws. For example, (1) by changing the distance between the device and the screen, the pattern is only scaled synchronously and not reconstructed, and the expected light-wave interference does not occur. (2) Interfering light waves can be subdivided into multiple parts and proliferate greatly. (3) A headless wave of light left outside the screen after the head disappears can still induce much interference. (4) There is no interference effect caused by reflected light waves. (5) The effect of polarization direction on interference is neglected, and the interference condition is incomplete. (6) In the mathematical model, the location where the dark stripe should appear most is actually the spot with the highest brightness. The principle of generating multiple regular dark stripes cannot be found in the mathematical model. (7) Since the quantum property must be expressed in the process of interference, interference will not be triggered if all conditions are not met at the same time, and therefore, the principle of interference will be rejected. (8) Since light comes only from the radiation of the electron transition, it is impossible to generate a light source in a slit that may be a vacuum. (9) In the causality test, to verify the effect of collapse, the photon that has collapsed into a particle should be tested again with a double slit test. (10) Whether the phenomenon of "observed tampering results" obtained by observation has been tampered with. (11) When the phase is shifted π or the signal is reversed, waves become negative waves capable of annihilating themselves, which is typical of antimatter. In this case, matter and antimatter are conjoined. (12) If the general law of waves is followed, not only the targeted light wave passes through the slit. (13) The original version of the double-slit test cannot be reproduced, and the test results are different from those presented by contemporary technology. (14) Waves must obey Fourier's principle, but light waves, quantum waves and matter waves do not. (15) The modulation effect that waves must produce is not present in optical fiber communication. (16) If the light from different slits must interfere with each other, a mask full of slits will cause the lithographer to fail. (17) Since the size is much smaller than the wavelength, the photon is only a sampling of the light wave, but the corresponding physical properties are not presented. (18) The fact that the two stars orbiting each other do not change color only proves that the phenomenon of redshift is impossible but does not support the inference that the speed of light is constant. (19) The Michelson-Morley test process is not open and transparent enough, and pinhole diffraction and mechanical processing using broken lines instead of curves cannot be ruled out. (20) Kepler's law can block Hubble's law and its derivatives, dark matter and dark energy. In conclusion, Newton's particle model was wrong, but neither was the light wave theory.
The interaction of coherent light with a set of slits, in the near field, gives rise to an interference pattern. Refraction is the change in the geometrical path, of a beam of light, due to transmission from the original medium of propagation to a second medium with a different refractive index. One of the beauties of the Dirac description of optics is the ability to continuously describe the evolution of the interferometric distribution, as it moves from the near to the far field, with a single mathematical equation. The interferometric distribution, in the near field, is mainly part of a single order. At the boundaries there is an incipient indication that of emerging orders. Explicitly, if a mirror is placed at an infinitesimal distance immediately behind the N-slit array then the transmission interferometer becomes a reflection interferometer.