Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Cordus Optics: Part 2.1 Frequency

Dirk John Pons, Arion Pons, Ariel M. Pons, Aiden Jasper Pons

Published Apr 1, 2011• 2 citations
OpenAlex

Abstract

Conventional particle and wave theories struggle to explain the frequency of photons and matter in a coherent manner using natural physics. This paper applies the cordus conjecture to develop a model for frequency of the photon. The interpretation is that there really is a part of the photon cordus that moves with a frequency. The working model is for a reciprocal motion: the energy alternates between the two reactive ends across the span of the cordus, and the hyff represent the observable electric field. This cordus model for frequency readily explains polarisation and tunnelling, and the concept is fundamental to other developments of the cordus mechanics including the reflection and refraction of particuloids. The implications are that frequency is not just an intrinsic variable, but a physical effect within the photon. The cordus frequency is a fundamental conceptual building-block in creating an integrated solution that unifies wave and particle behaviour. It is a powerful concept that is coherent across many other phenomena too, including matter particuloids and it contributes subsequently to the cordus model for granular fields.

Related papers

Wave–particle duality: A conceptual solution from the cordus conjecture

DJ Pons, Arion Douglas Pons, Ariel M. Pons +1 more

There are several integration problems of fundamental physics that still lack coherent solutions, the case in point being wave-particle duality. While empiricism and mathematical modelling have served physics well, they have not yet been able to achieve integrated causal models. Conventional theories and approaches have only provided partial solutions, and it is possible that a more radical reconceptualisation of fundamental physics may be required. This work comes at the issue from a totally different approach: it applies design thinking to the problem. The result is the cordus conjecture, which proposes that the photon, and indeed every matter ‘particle’, has an internal structure comprising a 'cordus': two reactive ends that each behave like a particle, with a fibril joining them. The reactive ends are proposed to be a small finite distance apart, and energised [typically in turn] at a frequency. When energised they emit a transient force pulse along a line called a hyperfine fibril [hyff], and this makes up the field. This concept is used to explain the path dilemmas of the single photon in the double-slit device, and the wave behaviour of light including the formation of fringes by single photons and beams of light. In addition it provides a tangible explanation for frequency. It also yields new quantitative derivations for several basic optical effects: critical angle, Snell’s law, and Brewster’s angle. Thus the cordus structure offers an alternative conceptual explanation for wave-particle duality.

Physics Essays•Mar 1, 2012•17 citations

Wave-particle duality: A proposed resolution

Dirk John Pons, Arion Douglas Pons, Ariel M. Pons +1 more

There are several integration problems of fundamental physics that still lack coherent solutions, the case in point being wave-particle duality. While empiricism and mathematical modelling have served physics well, they have not yet been able to achieve integrated causal models. Conventional theories and approaches have only provided partial solutions, and it is possible that a more radical reconceptualisation of fundamental physics may be required. This work comes at the issue from a totally different approach: it applies design thinking to the problem. The result is the cordus conjecture, which proposes that the photon, and indeed every matter ‘particle’, has an internal structure comprising a 'cordus': two reactive ends that each behave like a particle, with a fibril joining them. The reactive ends are proposed to be a small finite distance apart, and energised [typically in turn] at a frequency. When energised they emit a transient force pulse along a line called a hyperfine fibril [hyff], and this makes up the field. This concept is used to explain the path dilemmas of the single photon in the double-slit device, and the wave behaviour of light including the formation of fringes by single photons and beams of light. In addition it provides a tangible explanation for frequency. It also yields new quantitative derivations for several basic optical effects: critical angle, Snell’s law, and Brewster’s angle. Thus the cordus structure offers an alternative conceptual explanation for wave-particle duality.

•Jan 1, 2012•40 citations

Cordus Conjecture: Part 1.3 Explanation of Fringes

Dirk John Pons, Arion Pons, Ariel M. Pons +1 more

The cordus concept is shown to be able to explain wave behaviour in gaps, and fringes in the double slit device. This is useful because one of the enigmas of the double-slit device is that single photons form fringe patterns. Cordus explains fringes in terms of force lines called hyperfine fibrils (hyff) and their interaction with the edges of the light path. This also explains beam divergence and near-field effects. The results show that it is conceptually possible to create a solution for fringes based on a particuloid interpretation of light, without using the concept of interference. The biggest difference between Wave theory and the cordus explanation is their interpretation of the mechanism for fringes. Wave theory explains fringes as �interference�: two separate waves of light differing by full (half) fractions of wavelengths and thus constructively (destructively) interfering. From the Cordus perspective photons do not actually interfere or add together, and 'interference' is only a convenient analogy. The Cordus explanation is that fringes are caused instead by interaction of the photon hyff with opaque edges. This bracket of papers therefore offers a resolution of wave-particle duality by anticipating the internal cordus structure of the photon and the associated cordus mechanics. From this perspective wave and particle behaviours are simply the different output behaviours that the internal system shows depending on how it is measured. Thus Cordus offers a deeper mechanics that subsumes both quantum mechanics and wave theory. Surprisingly, Cordus suggests that the next deeper level of reality is deterministic.

•Apr 1, 2011•0 citations

Cordus Conjecture: Part 1.1 Quis es tu Photon?

Dirk John Pons, Arion Pons, Ariel M. Pons +1 more

A new conceptual model is proposed for the internal structure of the photon, and the mechanics thereof. This internal structure is called a cordus. The cordus consists of two reactive ends (RE) connected together with a fibril. The fibril connecting the two reactive ends does not interact with other matter. Each of the two reactive ends behaves like a whole photon in its ability to interact with other matter, including reflection, transmission, and the ability to take two paths, though it collapses to only one location. The reactive ends emit hyperfine fibrils (hyff) which are force lines. The cordus structure is neither a particle nor a wave, though can appear as either in certain circumstances.

•Apr 1, 2011•2 citations

Cordus Optics: Part 2.2 Reflection

Dirk John Pons, Arion Pons, Ariel M. Pons +1 more

Optical effects such as reflection and refraction are conventionally best described by Electromagnetic Wave theory, at least when they involve beams of light. However that theory does not explain why single photons should also show such behaviour. This paper shows that optical effects can also be explained from a cordus particuloid perspective. Several principles are proposed for the interaction of a cordus photon with an optical surface, and these are used to explain reflection and subsequently refraction. The formula for critical angle is derived from a particuloid basis. The cordus and wave theory perspectives are compared and contrasted. The significance of this work is that the cordus mechanics explains the reflection and refraction behaviour of both single photons as well as beams of light, so it is a more universal explanation.

•Apr 1, 2011•2 citations

Cordus Matter: Part 3.1 Wider Locality

Dirk John Pons, Arion Pons, Ariel M. Pons +1 more

The dominant paradigm in conventional physics is that of a �particle�, which this paper suggests is a badly flawed premise. The cordus particuloid is a more coherent concept in that it offers explanations of phenomena that are otherwise puzzling, and does so with one conceptual consistent framework across a wide variety of phenomena. This paper shows how entanglement is readily explained as a natural consequence of the cordus. It also introduces the principle of complementary frequency state synchronisation (CoFS) as the deeper principle beneath the Pauli exclusion principle, and coherence. It is suggested that Bell�s Theorem is only applicable to 1D point particles, and is thus generally irrelevant. Specifically, Bell�s Theorem is not an obstacle to models of hidden variables. Furthermore, it is suggested that the principle of locality is not viable in its present form, and a principle of wider locality is proposed.

•Apr 1, 2011•1 citation
Conventional particle and wave theories struggle to explain the frequency of photons and matter in a coherent manner using natural physics. This paper applies the cordus conjecture to develop a model for frequency of the photon. The interpretation is that there really is a part of the photon cordus that moves with a frequency. The working model is for a reciprocal motion: the energy alternates between the two reactive ends across the span of the cordus, and the hyff represent the observable electric field. This cordus model for frequency readily explains polarisation and tunnelling, and the concept is fundamental to other developments of the cordus mechanics including the reflection and refraction of particuloids. The implications are that frequency is not just an intrinsic variable, but a physical effect within the photon. The cordus frequency is a fundamental conceptual building-block in creating an integrated solution that unifies wave and particle behaviour. It is a powerful concept that is coherent across many other phenomena too, including matter particuloids and it contributes subsequently to the cordus model for granular fields.
There are several integration problems of fundamental physics that still lack coherent solutions, the case in point being wave-particle duality. While empiricism and mathematical modelling have served physics well, they have not yet been able to achieve integrated causal models. Conventional theories and approaches have only provided partial solutions, and it is possible that a more radical reconceptualisation of fundamental physics may be required. This work comes at the issue from a totally different approach: it applies design thinking to the problem. The result is the cordus conjecture, which proposes that the photon, and indeed every matter ‘particle’, has an internal structure comprising a 'cordus': two reactive ends that each behave like a particle, with a fibril joining them. The reactive ends are proposed to be a small finite distance apart, and energised [typically in turn] at a frequency. When energised they emit a transient force pulse along a line called a hyperfine fibril [hyff], and this makes up the field. This concept is used to explain the path dilemmas of the single photon in the double-slit device, and the wave behaviour of light including the formation of fringes by single photons and beams of light. In addition it provides a tangible explanation for frequency. It also yields new quantitative derivations for several basic optical effects: critical angle, Snell’s law, and Brewster’s angle. Thus the cordus structure offers an alternative conceptual explanation for wave-particle duality.
There are several integration problems of fundamental physics that still lack coherent solutions, the case in point being wave-particle duality. While empiricism and mathematical modelling have served physics well, they have not yet been able to achieve integrated causal models. Conventional theories and approaches have only provided partial solutions, and it is possible that a more radical reconceptualisation of fundamental physics may be required. This work comes at the issue from a totally different approach: it applies design thinking to the problem. The result is the cordus conjecture, which proposes that the photon, and indeed every matter ‘particle’, has an internal structure comprising a 'cordus': two reactive ends that each behave like a particle, with a fibril joining them. The reactive ends are proposed to be a small finite distance apart, and energised [typically in turn] at a frequency. When energised they emit a transient force pulse along a line called a hyperfine fibril [hyff], and this makes up the field. This concept is used to explain the path dilemmas of the single photon in the double-slit device, and the wave behaviour of light including the formation of fringes by single photons and beams of light. In addition it provides a tangible explanation for frequency. It also yields new quantitative derivations for several basic optical effects: critical angle, Snell’s law, and Brewster’s angle. Thus the cordus structure offers an alternative conceptual explanation for wave-particle duality.
The cordus concept is shown to be able to explain wave behaviour in gaps, and fringes in the double slit device. This is useful because one of the enigmas of the double-slit device is that single photons form fringe patterns. Cordus explains fringes in terms of force lines called hyperfine fibrils (hyff) and their interaction with the edges of the light path. This also explains beam divergence and near-field effects. The results show that it is conceptually possible to create a solution for fringes based on a particuloid interpretation of light, without using the concept of interference. The biggest difference between Wave theory and the cordus explanation is their interpretation of the mechanism for fringes. Wave theory explains fringes as �interference�: two separate waves of light differing by full (half) fractions of wavelengths and thus constructively (destructively) interfering. From the Cordus perspective photons do not actually interfere or add together, and 'interference' is only a convenient analogy. The Cordus explanation is that fringes are caused instead by interaction of the photon hyff with opaque edges. This bracket of papers therefore offers a resolution of wave-particle duality by anticipating the internal cordus structure of the photon and the associated cordus mechanics. From this perspective wave and particle behaviours are simply the different output behaviours that the internal system shows depending on how it is measured. Thus Cordus offers a deeper mechanics that subsumes both quantum mechanics and wave theory. Surprisingly, Cordus suggests that the next deeper level of reality is deterministic.
A new conceptual model is proposed for the internal structure of the photon, and the mechanics thereof. This internal structure is called a cordus. The cordus consists of two reactive ends (RE) connected together with a fibril. The fibril connecting the two reactive ends does not interact with other matter. Each of the two reactive ends behaves like a whole photon in its ability to interact with other matter, including reflection, transmission, and the ability to take two paths, though it collapses to only one location. The reactive ends emit hyperfine fibrils (hyff) which are force lines. The cordus structure is neither a particle nor a wave, though can appear as either in certain circumstances.
Optical effects such as reflection and refraction are conventionally best described by Electromagnetic Wave theory, at least when they involve beams of light. However that theory does not explain why single photons should also show such behaviour. This paper shows that optical effects can also be explained from a cordus particuloid perspective. Several principles are proposed for the interaction of a cordus photon with an optical surface, and these are used to explain reflection and subsequently refraction. The formula for critical angle is derived from a particuloid basis. The cordus and wave theory perspectives are compared and contrasted. The significance of this work is that the cordus mechanics explains the reflection and refraction behaviour of both single photons as well as beams of light, so it is a more universal explanation.
The dominant paradigm in conventional physics is that of a �particle�, which this paper suggests is a badly flawed premise. The cordus particuloid is a more coherent concept in that it offers explanations of phenomena that are otherwise puzzling, and does so with one conceptual consistent framework across a wide variety of phenomena. This paper shows how entanglement is readily explained as a natural consequence of the cordus. It also introduces the principle of complementary frequency state synchronisation (CoFS) as the deeper principle beneath the Pauli exclusion principle, and coherence. It is suggested that Bell�s Theorem is only applicable to 1D point particles, and is thus generally irrelevant. Specifically, Bell�s Theorem is not an obstacle to models of hidden variables. Furthermore, it is suggested that the principle of locality is not viable in its present form, and a principle of wider locality is proposed.