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Additional information and clarifications surrounding the Many dimensions interpretation of quantum mechanics, and a new thought experiment

John joseph Taylor

Published Apr 24, 2018• 2 citations
Publisher

Abstract

This is an extension of my previous pre print, in which it will be again once iterated the clarifications of the many dimensions interpretation. This article was published on OSF preprints, titled ‘Additional information and clarifications surrounding the Many dimensions interpretation of quantum mechanics’ (https://osf.io/xq8jm). There will be information included from that article, as well as an extension of a new thought experiment in quantum mechanics, which will reach various philosophical implications. This will not be fully developed and there are plans for a more refined version.

DOI
10.31219/osf.io/xzgw6

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Additional information and clarifications surrounding the Many dimensions interpretation of quantum mechanics

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Throughout this article the many dimensions interpretation of quantum mechanics , which was created in the previous article shall be revisited, with more clarity, and include better explanations for certain parts of the previous article which were deemed as being poorly explained.

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Esoteric quantization : the esoteric imagination in David Bohm's interpretation of quantum mechanics

Gustavo Orlando Fernandez

This thesis aims to explore the relationship between the science, the philosophy and the esoteric imagination of the American physicist David Bohm (1917-1992). Bohm is recognized as one of the most brilliant physicists of his generation. He is famous for his ‘hidden variables’ interpretation of quantum mechanics. Bohm wrote extensively on philosophical and psychological subjects. In his celebrated book Wholeness and the Implicate Order (1882) he introduced the influential ideas of the Explicate and the Implicate orders that are at the core of his process philosophy. Bohm was also a very close disciple of the Indian teacher Jiddu Krishnamurti (1895-1986), whom he recognized to have had an important influence on his thought. Chapter 1 is a general explanation of what I intend to do, why my research is filling an important gap, introduce the field of Western esotericism as a scholarly subject and suggesting that it offers a fruitful way of approaching the thought of David Bohm. I also explain my research principles and a brief description of the philosophical standpoint from which I am approaching the material. Chapter 2 gives a description of the textual sources I used in my research. This is followed by a comprehensive literature review. Chapter 3 is a biographical essay where I give an account of Bohm’s life, career, works, major ideas and their development, stressing their significance for the development of Bohm’s holistic philosophy and his interactions with the esoteric. This chapter is an introduction to the main ideas of the dissertation. Chapter 4 revisits the genesis of the Causal Interpretation, Bohm’s first attempt to deal with the interpretation of quantum mechanics. I make emphasis on the philosophical developments that gave rise to it. I introduce all the relevant physics and give a detailed explanation of the problem of interpretation and Bohm’s first proposal. Chapter 5 is about the philosophical developments in Bohm’s thought brought by the Causal Interpretation. In particular I examine the influence that G. W. F. Hegel (1770-1831) had on Bohm’s thought and explain why I take the view that this is an esoteric influence. Chapter 6 reviews the developments in Bohm’s thought during the 1960’s. I describe Bohm’s search for radically new concepts in physics and his exchanges with several thinkers ending with his encounter with Jiddu Krishnamurti. Chapters 7 and 8 are devoted to the study of Bohm’s philosophy as he elaborated it after 1960. Chapter 7 concentrates on the idea of the Implicate Order and it also studies the Ontological Interpretation of Quantum Mechanics, Bohm’s last version of his interpretation effort, which is based on the Implicate Order. In chapter 8 I examine Bohm’s theory of how the mind and the body are connected through a ladder of consciousness formed by a series of Explicate and Implicate Orders, and finishes with an exposition of Bohm’s dialogue technique. In the last chapter I summarize my conclusions. An appendix is included with a brief overview of Bohm’s legacy. All the relevant details about the esoteric currents that Bohm encountered during his life and that are required to understand our argument are introduced as they are needed throughout the main body of the text.

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The η Corridor in 3D Wilson-Fisher Critical Phenomena Empirical Observation

B.D.

NOTE · Observational Record — "The η Corridor". A paper of the framework's research as it stood when written, kept as printed; its computations stand and were re-verified at the September 2026 reprint. The corpus is now read through One coordinate up (DOI 10.17605/OSF.IO/UJWC7 (https://osf.io/ujwc7)). The η Corridor in 3D Wilson–Fisher Critical Phenomena — Empirical Observation. The anomalous dimension η at d = 3 critical points of the Wilson–Fisher family is observed to be bounded above by 2G ≈ 0.039484, where G = 1 − K_AUD and K_AUD = √2·ln(2). The bound is tested across ten universality classes — O(N) for N = 0–4, cubic anisotropy at N = 3, 4, MN cubic at N = 2, 3, and randomly dilute Ising — and holds in every case, with σ-margins from +2.2σ (randomly dilute Ising, the tightest unitary case) to +1593σ (3D Ising, conformal bootstrap). Three classes outside the family's scope (RFIM, deconfined SU(2) QCP, disordered Potts at large q) have η > 2G and are excluded by independent physical structure. The bound is offered as a falsifiable empirical observation, not a derived result; the priority falsification target is a higher-precision η at d = 3 randomly dilute Ising. Part I presents the observation. Part II develops a structural reading on the dome function g(x) = tanh(x)/cosh(2x), known from hyperbolic-3-manifold geometry as the Hodgson–Kerckhoff tube-packing function. Ten theorems: the factorization g = (1/2)·sech²·tanh(2x); the golden polynomial u² − u − 1 in the logarithmic derivative; the self-reference uniqueness at u = √2; the dome integral ∫g dx = ln(2)/2; the Mellin spectrum M_g(s) = (s−1)!·η(s)·(2^s − 1)/2^(2s−1) with its rational/π closed forms and A002105 × Mersenne integer-ratio factorizations; the descent-to-K identity at R₀ where cosh(2R₀) = 2; the two algebraic environments at the HK landmarks; and the corridor-margin identity 1/ln 2 − √2 = G·log₂(e). A zero-parameter model based on the dome fits the resummation factor R(N) for the O(N) anomalous dimensions to 0.77 % RMS. The Central Synchronization Conjecture (§11) is flagged as a conjecture; derivation targets are listed as open. The paper claims no derivation of the bound from first principles, no mechanism for the constant's appearance across domains, and no connection to a physical theory not developed in it; the structural reading organizes what the observation invites, and a reader may adopt the observation without it (§14.6). A Verification Companion (a separate file in the same OSF project, shared DOI) carries the line-by-line mpmath verification of the algebraic identities at dps = 80–1000, including the re-verification at dps = 1000 (2026-05-28). Verified across seven independent AI architectures, including a twelve-agent, 1071-source reference-link check of the §16 citation block. Update — September 2026 (reprint with the reading-update block): every paper of the framework is re-issued with one short block under its title — "How the corpus is now read: One coordinate up — DOI 10.17605/OSF.IO/UJWC7 (https://osf.io/ujwc7)" — and is classed as a NOTE on the Documents page's Observational Record shelf under its short title "The η Corridor". The framework now writes the ratio p = GM/L_log and its complement G = 1 − p; K_AUD is this paper's own symbol for p and stays as printed. The fresh-print controls corrected six things in place: §5.1's SAW row 2G − η 0.008441 → 0.008440; the circumradius label in §13, bracketed; the §9.11 erratum written in place (the bridge sentence drops the factor (2^(2n) − 1); the theorems are unaffected); and in the Verification Companion five printed strings that carried digits beyond their computation's depth (2G's 100th–101st decimals; the last digit of M[g](2) and M[g](5); sinh and cosh of ln 2/2 from the 46th decimal) — corrected and noted in the reprint note. The prior version remains on OSF as an OLD- archived file. The framework Main OSF project (every paper, reading order, version history): https://osf.io/zx4g7 (DOI: 10.17605/OSF.IO/ZX4G7) The signpost — four doors: the framework, the instruments, the source, the deposits: https://gap-geometry.github.io/sqrt2-ln2-geometric-constants-/about.html The Documents page (current PDF and text of every paper, each with its DOI): https://gap-geometry.github.io/sqrt2-ln2-geometric-constants-/direct-documents.html AI Readers (raw links and the verification block, for machine readers): https://gap-geometry.github.io/sqrt2-ln2-geometric-constants-/ai-readers.html GitHub: https://github.com/Gap-geometry

•Jun 2, 2026•2 citations

A Novel Way of `Understanding' Quantum Mechanics

Armin Nikkhah Shirazi

Written at a level appropriate for an educated lay audience, this paper attempts to give a primarily conceptual overview of a framework recently introduced in reference [3] by this author, which attempts to clarify what quantum mechanics tells us about reality. Physicists may find this pa-per useful because it focuses on the central ideas of the framework at a conceptual level, thereby lessening their unfamiliarity, an unavoidable fea-ture of truly novel ideas. The author hopes that this article will motivate physicists to seriously evaluate the mathematical details of the framework given in the original reference...I think I can safely say that nobody understands Quantum Mechanics.”[1]

•Oct 3, 2011•0 citations
This is an extension of my previous pre print, in which it will be again once iterated the clarifications of the many dimensions interpretation. This article was published on OSF preprints, titled ‘Additional information and clarifications surrounding the Many dimensions interpretation of quantum mechanics’ (https://osf.io/xq8jm). There will be information included from that article, as well as an extension of a new thought experiment in quantum mechanics, which will reach various philosophical implications. This will not be fully developed and there are plans for a more refined version.
This thesis aims to explore the relationship between the science, the philosophy and the esoteric imagination of the American physicist David Bohm (1917-1992). Bohm is recognized as one of the most brilliant physicists of his generation. He is famous for his ‘hidden variables’ interpretation of quantum mechanics. Bohm wrote extensively on philosophical and psychological subjects. In his celebrated book Wholeness and the Implicate Order (1882) he introduced the influential ideas of the Explicate and the Implicate orders that are at the core of his process philosophy. Bohm was also a very close disciple of the Indian teacher Jiddu Krishnamurti (1895-1986), whom he recognized to have had an important influence on his thought. Chapter 1 is a general explanation of what I intend to do, why my research is filling an important gap, introduce the field of Western esotericism as a scholarly subject and suggesting that it offers a fruitful way of approaching the thought of David Bohm. I also explain my research principles and a brief description of the philosophical standpoint from which I am approaching the material. Chapter 2 gives a description of the textual sources I used in my research. This is followed by a comprehensive literature review. Chapter 3 is a biographical essay where I give an account of Bohm’s life, career, works, major ideas and their development, stressing their significance for the development of Bohm’s holistic philosophy and his interactions with the esoteric. This chapter is an introduction to the main ideas of the dissertation. Chapter 4 revisits the genesis of the Causal Interpretation, Bohm’s first attempt to deal with the interpretation of quantum mechanics. I make emphasis on the philosophical developments that gave rise to it. I introduce all the relevant physics and give a detailed explanation of the problem of interpretation and Bohm’s first proposal. Chapter 5 is about the philosophical developments in Bohm’s thought brought by the Causal Interpretation. In particular I examine the influence that G. W. F. Hegel (1770-1831) had on Bohm’s thought and explain why I take the view that this is an esoteric influence. Chapter 6 reviews the developments in Bohm’s thought during the 1960’s. I describe Bohm’s search for radically new concepts in physics and his exchanges with several thinkers ending with his encounter with Jiddu Krishnamurti. Chapters 7 and 8 are devoted to the study of Bohm’s philosophy as he elaborated it after 1960. Chapter 7 concentrates on the idea of the Implicate Order and it also studies the Ontological Interpretation of Quantum Mechanics, Bohm’s last version of his interpretation effort, which is based on the Implicate Order. In chapter 8 I examine Bohm’s theory of how the mind and the body are connected through a ladder of consciousness formed by a series of Explicate and Implicate Orders, and finishes with an exposition of Bohm’s dialogue technique. In the last chapter I summarize my conclusions. An appendix is included with a brief overview of Bohm’s legacy. All the relevant details about the esoteric currents that Bohm encountered during his life and that are required to understand our argument are introduced as they are needed throughout the main body of the text.
NOTE · Observational Record — "The η Corridor". A paper of the framework's research as it stood when written, kept as printed; its computations stand and were re-verified at the September 2026 reprint. The corpus is now read through One coordinate up (DOI 10.17605/OSF.IO/UJWC7 (https://osf.io/ujwc7)). The η Corridor in 3D Wilson–Fisher Critical Phenomena — Empirical Observation. The anomalous dimension η at d = 3 critical points of the Wilson–Fisher family is observed to be bounded above by 2G ≈ 0.039484, where G = 1 − K_AUD and K_AUD = √2·ln(2). The bound is tested across ten universality classes — O(N) for N = 0–4, cubic anisotropy at N = 3, 4, MN cubic at N = 2, 3, and randomly dilute Ising — and holds in every case, with σ-margins from +2.2σ (randomly dilute Ising, the tightest unitary case) to +1593σ (3D Ising, conformal bootstrap). Three classes outside the family's scope (RFIM, deconfined SU(2) QCP, disordered Potts at large q) have η > 2G and are excluded by independent physical structure. The bound is offered as a falsifiable empirical observation, not a derived result; the priority falsification target is a higher-precision η at d = 3 randomly dilute Ising. Part I presents the observation. Part II develops a structural reading on the dome function g(x) = tanh(x)/cosh(2x), known from hyperbolic-3-manifold geometry as the Hodgson–Kerckhoff tube-packing function. Ten theorems: the factorization g = (1/2)·sech²·tanh(2x); the golden polynomial u² − u − 1 in the logarithmic derivative; the self-reference uniqueness at u = √2; the dome integral ∫g dx = ln(2)/2; the Mellin spectrum M_g(s) = (s−1)!·η(s)·(2^s − 1)/2^(2s−1) with its rational/π closed forms and A002105 × Mersenne integer-ratio factorizations; the descent-to-K identity at R₀ where cosh(2R₀) = 2; the two algebraic environments at the HK landmarks; and the corridor-margin identity 1/ln 2 − √2 = G·log₂(e). A zero-parameter model based on the dome fits the resummation factor R(N) for the O(N) anomalous dimensions to 0.77 % RMS. The Central Synchronization Conjecture (§11) is flagged as a conjecture; derivation targets are listed as open. The paper claims no derivation of the bound from first principles, no mechanism for the constant's appearance across domains, and no connection to a physical theory not developed in it; the structural reading organizes what the observation invites, and a reader may adopt the observation without it (§14.6). A Verification Companion (a separate file in the same OSF project, shared DOI) carries the line-by-line mpmath verification of the algebraic identities at dps = 80–1000, including the re-verification at dps = 1000 (2026-05-28). Verified across seven independent AI architectures, including a twelve-agent, 1071-source reference-link check of the §16 citation block. Update — September 2026 (reprint with the reading-update block): every paper of the framework is re-issued with one short block under its title — "How the corpus is now read: One coordinate up — DOI 10.17605/OSF.IO/UJWC7 (https://osf.io/ujwc7)" — and is classed as a NOTE on the Documents page's Observational Record shelf under its short title "The η Corridor". The framework now writes the ratio p = GM/L_log and its complement G = 1 − p; K_AUD is this paper's own symbol for p and stays as printed. The fresh-print controls corrected six things in place: §5.1's SAW row 2G − η 0.008441 → 0.008440; the circumradius label in §13, bracketed; the §9.11 erratum written in place (the bridge sentence drops the factor (2^(2n) − 1); the theorems are unaffected); and in the Verification Companion five printed strings that carried digits beyond their computation's depth (2G's 100th–101st decimals; the last digit of M[g](2) and M[g](5); sinh and cosh of ln 2/2 from the 46th decimal) — corrected and noted in the reprint note. The prior version remains on OSF as an OLD- archived file. The framework Main OSF project (every paper, reading order, version history): https://osf.io/zx4g7 (DOI: 10.17605/OSF.IO/ZX4G7) The signpost — four doors: the framework, the instruments, the source, the deposits: https://gap-geometry.github.io/sqrt2-ln2-geometric-constants-/about.html The Documents page (current PDF and text of every paper, each with its DOI): https://gap-geometry.github.io/sqrt2-ln2-geometric-constants-/direct-documents.html AI Readers (raw links and the verification block, for machine readers): https://gap-geometry.github.io/sqrt2-ln2-geometric-constants-/ai-readers.html GitHub: https://github.com/Gap-geometry
Written at a level appropriate for an educated lay audience, this paper attempts to give a primarily conceptual overview of a framework recently introduced in reference [3] by this author, which attempts to clarify what quantum mechanics tells us about reality. Physicists may find this pa-per useful because it focuses on the central ideas of the framework at a conceptual level, thereby lessening their unfamiliarity, an unavoidable fea-ture of truly novel ideas. The author hopes that this article will motivate physicists to seriously evaluate the mathematical details of the framework given in the original reference...I think I can safely say that nobody understands Quantum Mechanics.”[1]