Abstract Measurements on photons are frequently cited as confirmations of predictions of quantum mechanics (QMs), in particular in the context of Bell’s theorem. In this paper we show, however, that we cannot ever claim to have measured a property of a photon if we treat a destructive measurement of the value of a property of a photon prepared in a superposition of eigenstates in the framework of orthodox QM.
Abstract Measurements on photons are frequently cited as confirmations of predictions of quantum mechanics (QMs), in particular in the context of Bell’s theorem. In this paper we show, however, that we cannot ever claim to have measured a property of a photon if we treat a destructive measurement of the value of a property of a photon prepared in a superposition of eigenstates in the framework of orthodox QM.
Holographic Information Ontological Framework•Superposition (HIOF•Superposition) A Layered Reading of the Quantum Measurement Problem This is a short, non-technical companion to the 10-paper HIOF·Superposition series. It is written for readers with a background in physics, philosophy of science, or information theory — not for readers already familiar with the author's wider theoretical framework. The core idea, stated plainly Superposition is treated here not as a property of an unobserved reality, but as a verdict of the window — a statement that only becomes meaningful once a measurement basis has been chosen. The claim is not that quantum mechanics needs a new formalism. It draws on the existing, experimentally confirmed core — Hilbert space, unitary evolution, the Born rule — and asks a narrower question: at which layer does each familiar sentence about "superposition," "collapse," or "faster than light" actually belong. Why the sea has no point Before any cut is made, there is no coordinate, no clock, and no pre-loaded position waiting to be discovered. This series calls that layer the sea. Every concrete answer — a spin value, a photon polarisation, a particle's location — is produced only at the window, the layer where a referee selects an axis and the cut-plane is written into a ledger. Treating a pre-window formalism as though it already contained a hidden trajectory is, in this framework, a layer violation rather than a competing physical theory. Why revolution and interpretation are different jobs A referee opens a ledger page and reports a number. A verdict is a narrative laid over that same number, answering questions the number does not itself ask — is the wavefunction real, does the universe branch, is collapse a physical event or a belief update. Five major schools of interpretation agree on every measurable prediction and disagree only at this second, narrative layer. The series argues that an unsettled interpretation market is not evidence that a physical revolution never happened, and a temporarily popular school is not evidence that the physical picture is now complete. Why superluminal signalling stays excluded Entanglement correlations can exceed the bound available to any local, pre-synchronised set of instructions — this is Bell's already-tested result. What cannot be smuggled through the same channel is a controllable signal that outruns light. The series keeps these two facts on separate ledgers: non-local correlation is written into the ledger; superluminal communication is not, and treating the first as a licence for the second is flagged throughout as a trap, not a proof. Why "total stillness" is not a fourth cargo A system at absolute rest, a system with no remaining executable state, and a system that has genuinely reached the end of its protocol cycle are three distinct conditions frequently collapsed into one intuitive picture. The series separates them explicitly, using the same operational standard applied to superposition: a claim only counts if it can be located on a specific layer and checked against a specific ledger. What the full series covers The main papers work through the sea-window-cut-plane distinction, the referee-versus-verdict separation, decoherence as a mechanism rather than an interpretation, the operational meaning of "unification," and a closing glossary that locks the definitions of every predicate used across the series. A companion series, HIOF·Revolution, extends the same layered method to ask a further question: at which layer does a scientific revolution actually occur, and why the answer does not require any interpretation to be settled first. A note on method The series is explicit about separating three registers: the already-tested formal core of quantum mechanics, original operational proposals about layering and vocabulary, and narrative or metaphorical exposition used for clarity. Readers are encouraged to treat every non-standard claim as a definitional proposal open to challenge, not as an experimental result. Keywords: quantum mechanics, superposition, measurement problem, Bell inequality, interpretation, decoherence, non-locality, ontology, philosophy of physics, information theory, layered systems AuthorWai-Hung Tam (Pan), Independent ResearcherORCID: 0009-0002-7789-8464Email: panxtam@protonmail.com
In recent notes by Einstein, Podolsky and Rosen and by Bohr, attention has been called to the fact that certain results of quantum mechanics are not to be reconciled with the assumption that a system has independently real properties as soon as it is free from mechanical interference. We here investigate in general, and in abstract terms, the extent of this disagreement. When suitably formulated, such an assumption gives to certain types of questions the same answers as does quantum mechanics; this is true of the formulas usually given in discussions of the theory of measurement. There exists, however, a general class of cases in which contradictions occur. That such contradictions are not restricted to the abstract mathematical theory, but can be realized in the commonest physical terms, is shown by the working out of an example..
Holographic Information Ontological Framework•Superposition (HIOF•Superposition) A Layered Reading of the Quantum Measurement Problem This is a short, non-technical companion to the 10-paper HIOF·Superposition series. It is written for readers with a background in physics, philosophy of science, or information theory — not for readers already familiar with the author's wider theoretical framework. The core idea, stated plainly Superposition is treated here not as a property of an unobserved reality, but as a verdict of the window — a statement that only becomes meaningful once a measurement basis has been chosen. The claim is not that quantum mechanics needs a new formalism. It draws on the existing, experimentally confirmed core — Hilbert space, unitary evolution, the Born rule — and asks a narrower question: at which layer does each familiar sentence about "superposition," "collapse," or "faster than light" actually belong. Why the sea has no point Before any cut is made, there is no coordinate, no clock, and no pre-loaded position waiting to be discovered. This series calls that layer the sea. Every concrete answer — a spin value, a photon polarisation, a particle's location — is produced only at the window, the layer where a referee selects an axis and the cut-plane is written into a ledger. Treating a pre-window formalism as though it already contained a hidden trajectory is, in this framework, a layer violation rather than a competing physical theory. Why revolution and interpretation are different jobs A referee opens a ledger page and reports a number. A verdict is a narrative laid over that same number, answering questions the number does not itself ask — is the wavefunction real, does the universe branch, is collapse a physical event or a belief update. Five major schools of interpretation agree on every measurable prediction and disagree only at this second, narrative layer. The series argues that an unsettled interpretation market is not evidence that a physical revolution never happened, and a temporarily popular school is not evidence that the physical picture is now complete. Why superluminal signalling stays excluded Entanglement correlations can exceed the bound available to any local, pre-synchronised set of instructions — this is Bell's already-tested result. What cannot be smuggled through the same channel is a controllable signal that outruns light. The series keeps these two facts on separate ledgers: non-local correlation is written into the ledger; superluminal communication is not, and treating the first as a licence for the second is flagged throughout as a trap, not a proof. Why "total stillness" is not a fourth cargo A system at absolute rest, a system with no remaining executable state, and a system that has genuinely reached the end of its protocol cycle are three distinct conditions frequently collapsed into one intuitive picture. The series separates them explicitly, using the same operational standard applied to superposition: a claim only counts if it can be located on a specific layer and checked against a specific ledger. What the full series covers The main papers work through the sea-window-cut-plane distinction, the referee-versus-verdict separation, decoherence as a mechanism rather than an interpretation, the operational meaning of "unification," and a closing glossary that locks the definitions of every predicate used across the series. A companion series, HIOF·Revolution, extends the same layered method to ask a further question: at which layer does a scientific revolution actually occur, and why the answer does not require any interpretation to be settled first. A note on method The series is explicit about separating three registers: the already-tested formal core of quantum mechanics, original operational proposals about layering and vocabulary, and narrative or metaphorical exposition used for clarity. Readers are encouraged to treat every non-standard claim as a definitional proposal open to challenge, not as an experimental result. Keywords: quantum mechanics, superposition, measurement problem, Bell inequality, interpretation, decoherence, non-locality, ontology, philosophy of physics, information theory, layered systems AuthorWai-Hung Tam (Pan), Independent ResearcherORCID: 0009-0002-7789-8464Email: panxtam@protonmail.com
Quantum mechanics is an immensely successful theory, occupying a unique position in the history of science. It has solved mysteries ranging from macroscopic superconductivity to the microscopic theory of elementary particles and has provided deep insights into the nature of vacuum on the one hand and the description of the nucleon on the other. Whole new fields such as quantum optics and quantum electronics owe their very existence to this body of knowledge. However, despite the stunning successes of quantum mechanics, there is no general agreement on the conceptual foundations and interpretation of the subject. The theory provides unambiguous information about the outcome of a measurement of a physical object. However, many feel that it does not provide a satisfactory answer to the nature of the “reality” we should attribute to the physical objects between the acts of measurement. The conceptual difficulty comes about because the wave function |ψ〉 is usually given by a coherent superposition of various distinguishable experimental outcomes. If we denote the collection of states that represent the possible outcomes of an experiment by |ψ j 〉, then |ψ〉 = ∑ j c j |ψ j 〉 where c j = 〈ψ j |ψ〉. The probability of the outcome |ψ j 〉 is P j =|c j | 2 . In the process of measurement, the so called collapse of the wave function takes place and a single, definite state |ψ i 〉 of the physical object is chosen. The difficulty comes about in the interpretation of the mechanism by which this definite state is chosen from amongst all the possible outcomes.
Holographic Information Ontological Framework•Superposition (HIOF•Superposition) A Layered Reading of the Quantum Measurement Problem This is a short, non-technical companion to the 10-paper HIOF·Superposition series. It is written for readers with a background in physics, philosophy of science, or information theory — not for readers already familiar with the author's wider theoretical framework. The core idea, stated plainly Superposition is treated here not as a property of an unobserved reality, but as a verdict of the window — a statement that only becomes meaningful once a measurement basis has been chosen. The claim is not that quantum mechanics needs a new formalism. It draws on the existing, experimentally confirmed core — Hilbert space, unitary evolution, the Born rule — and asks a narrower question: at which layer does each familiar sentence about "superposition," "collapse," or "faster than light" actually belong. Why the sea has no point Before any cut is made, there is no coordinate, no clock, and no pre-loaded position waiting to be discovered. This series calls that layer the sea. Every concrete answer — a spin value, a photon polarisation, a particle's location — is produced only at the window, the layer where a referee selects an axis and the cut-plane is written into a ledger. Treating a pre-window formalism as though it already contained a hidden trajectory is, in this framework, a layer violation rather than a competing physical theory. Why revolution and interpretation are different jobs A referee opens a ledger page and reports a number. A verdict is a narrative laid over that same number, answering questions the number does not itself ask — is the wavefunction real, does the universe branch, is collapse a physical event or a belief update. Five major schools of interpretation agree on every measurable prediction and disagree only at this second, narrative layer. The series argues that an unsettled interpretation market is not evidence that a physical revolution never happened, and a temporarily popular school is not evidence that the physical picture is now complete. Why superluminal signalling stays excluded Entanglement correlations can exceed the bound available to any local, pre-synchronised set of instructions — this is Bell's already-tested result. What cannot be smuggled through the same channel is a controllable signal that outruns light. The series keeps these two facts on separate ledgers: non-local correlation is written into the ledger; superluminal communication is not, and treating the first as a licence for the second is flagged throughout as a trap, not a proof. Why "total stillness" is not a fourth cargo A system at absolute rest, a system with no remaining executable state, and a system that has genuinely reached the end of its protocol cycle are three distinct conditions frequently collapsed into one intuitive picture. The series separates them explicitly, using the same operational standard applied to superposition: a claim only counts if it can be located on a specific layer and checked against a specific ledger. What the full series covers The main papers work through the sea-window-cut-plane distinction, the referee-versus-verdict separation, decoherence as a mechanism rather than an interpretation, the operational meaning of "unification," and a closing glossary that locks the definitions of every predicate used across the series. A companion series, HIOF·Revolution, extends the same layered method to ask a further question: at which layer does a scientific revolution actually occur, and why the answer does not require any interpretation to be settled first. A note on method The series is explicit about separating three registers: the already-tested formal core of quantum mechanics, original operational proposals about layering and vocabulary, and narrative or metaphorical exposition used for clarity. Readers are encouraged to treat every non-standard claim as a definitional proposal open to challenge, not as an experimental result. Keywords: quantum mechanics, superposition, measurement problem, Bell inequality, interpretation, decoherence, non-locality, ontology, philosophy of physics, information theory, layered systems AuthorWai-Hung Tam (Pan), Independent ResearcherORCID: 0009-0002-7789-8464Email: panxtam@protonmail.com