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

Divergence & Probability Density : A Hypothesis

JAYDIP DATTA

Published Apr 9, 2020• 1 citation
Publisher

Abstract

The earlier work by Datta et al ( 1 ) the note has been made with the algebraic properties of Probability ie P (A) +P(B )= P ( A*B ) . This is termed as multiplicative rule of Probability. By multiplication rule any number say a can be first diverged through a series of a ( pow ) x , Where x is an integer like 0 to n . REF :PROBABILITY & WAVEFUNCTION : A NOTE November 2019 DOI: 10.31219/osf.io/awk96

DOI
10.31219/osf.io/3f9ct

Related papers

Divergence & Probability Density : A Hypothesis

JAYDIP DATTA

The earlier work by Datta et al ( 1 ) the note has been made with the algebraic properties of Probability ie P (A) +P(B )= P ( A*B ) . This is termed as multiplicative rule of Probability. By multiplication rule any number say a can be first diverged through a series of a ( pow ) x , Where x is an integer like 0 to n . REF :PROBABILITY & WAVEFUNCTION : A NOTE November 2019 DOI: 10.31219/osf.io/awk96

OSF Preprints•Jan 1, 2020•0 citations

PROBABILITY: A NOTE

JAYDIP DATTA

Wave Function , Probability Density Function , Multiplicative Probability , Partition function .In this note we correlate a quantum normalized probabilistic approach with Algebric approach of Probability . The Probability Density [ Shi ]^2 may be equated as additive wave functions ie [Shi A] +[ Shi B ] . In real probability algebra we also know that P(A) +P(B )= P ( A*B ) . This is termed as multiplicative rule of Probability . Greater is P ( A*B ) = [ Shi ] ^2 greater will be the Probability Density F( x ) .

•Apr 9, 2020•0 citations

Relational Field Theory: Series Overview, Roadmap, and Reference Index

Clinton Svancara

This is the central roadmap and reference document for the Relational Field Theory (RFT) series. It contains the complete list of all nine papers with full titles, short descriptions, and live DOIs. It serves as the official hub for the series, allowing readers to navigate the progression from the minimal ontological axiom to concrete downstream empirical results. All papers maintain the terminal reduction and anti-drift boundary of RFT. Related Preprints • Paper I: https://doi.org/10.17605/OSF.IO/EDJQC • Paper II: https://doi.org/10.17605/OSF.IO/R8VJ6 • Paper III: https://doi.org/10.17605/OSF.IO/VCSZN • Paper IV: https://doi.org/10.17605/OSF.IO/Z3P84 • Paper V: https://doi.org/10.17605/OSF.IO/9SXN5 • Paper VI: https://doi.org/10.17605/OSF.IO/6BGH2 • Paper VII: https://doi.org/10.17605/OSF.IO/724CN • Paper VIII: https://doi.org/10.17605/OSF.IO/NQ4DJ • Paper IX: https://doi.org/10.17605/OSF.IO/UYD4R

•Jan 1, 2026•0 citations

Probabilities on a Heyting Algebra

Jean‐Pascal Laedermann

Probability is initially defined on a Boolean algebra or a lattice of projectors. We propose here to start from a Heyting algebra.

•Sep 30, 2024•0 citations

The Ignorant Observer inside Everett

Aernoud Dekker

The Ignorant Observer Framework stated as a finite-record quotient theory hosted by a no-collapse interpretation, developed for the Everettian host. Four results carry the structure: a record-quotient theorem (decoherence realizes the modulus map; Fisher-Rao geometry is the host's projective metric restricted to the record base), a phase-limit theorem (relative phase stays host-side), an exact Breuer-type reference-closure obstruction with the data-rate inequality, and an emergent-reference-rate theorem fixing h_KS as an einselected semiclassical quantity. Version 2 closes the probability residuals at the record boundary: the accessible record algebra as a proposition conditional on spectrum-broadcast structure; existence of a probability measure relocated to bookkeeping coherence with branch counting excluded; the fixed-context Born form for every outcome number; and self-locating credence identified with the Born weights under a named record-credence principle. The Deutsch-Wallace burden is narrowed and the Dawid-Friederich critique answered in a structured remark. Companion papers: The Ignorant Observer (DOI 10.17605/OSF.IO/FCDSN), The Born Rule from Finite Observation (10.17605/OSF.IO/U5RDE), Why Fisher Geometry Gives Binary Born but Not Quantum Phase (10.17605/OSF.IO/N3SU9), Bandwidth-Limited Quantum Control (10.17605/OSF.IO/G5WRH).

•Jul 4, 2026•0 citations

À propos du lien entre la théorie quantique et les probabilités

‎Louis Marchildon

La théorie des probabilités et la théorie quantique, l’une mathématique et l’autre physique, s’apparentent dans la mesure où chacune admet plusieurs interprétations fort différentes. Certains ont proposé que les problèmes conceptuels de la théorie quantique puissent être, sinon résolus, du moins atténués par une interprétation adéquate des probabilités. Nous montrerons plutôt, à travers un survol historique et analytique des probabilités et de la théorie quantique, que si certaines interprétations de l’une et de l’autre s’agencent particulièrement bien, aucune ne s’impose de façon unique. * * * The theory of probability and the quantum theory, the one mathematical and the other physical, are related in that each admits a number of very different interpretations. It has been proposed that the conceptual problems of the quantum theory could be, if not resolved, at least mitigated by a proper interpretation of probabilities. We rather show, through a historical and analytical overview of probabilities and quantum theory, that if some interpretations of the one and the other go along particularly well, none follows in a unique way.

Revue des questions scientifiques•Jan 1, 2021•0 citations
The earlier work by Datta et al ( 1 ) the note has been made with the algebraic properties of Probability ie P (A) +P(B )= P ( A*B ) . This is termed as multiplicative rule of Probability. By multiplication rule any number say a can be first diverged through a series of a ( pow ) x , Where x is an integer like 0 to n . REF :PROBABILITY & WAVEFUNCTION : A NOTE November 2019 DOI: 10.31219/osf.io/awk96
Wave Function , Probability Density Function , Multiplicative Probability , Partition function .In this note we correlate a quantum normalized probabilistic approach with Algebric approach of Probability . The Probability Density [ Shi ]^2 may be equated as additive wave functions ie [Shi A] +[ Shi B ] . In real probability algebra we also know that P(A) +P(B )= P ( A*B ) . This is termed as multiplicative rule of Probability . Greater is P ( A*B ) = [ Shi ] ^2 greater will be the Probability Density F( x ) .
This is the central roadmap and reference document for the Relational Field Theory (RFT) series. It contains the complete list of all nine papers with full titles, short descriptions, and live DOIs. It serves as the official hub for the series, allowing readers to navigate the progression from the minimal ontological axiom to concrete downstream empirical results. All papers maintain the terminal reduction and anti-drift boundary of RFT. Related Preprints • Paper I: https://doi.org/10.17605/OSF.IO/EDJQC • Paper II: https://doi.org/10.17605/OSF.IO/R8VJ6 • Paper III: https://doi.org/10.17605/OSF.IO/VCSZN • Paper IV: https://doi.org/10.17605/OSF.IO/Z3P84 • Paper V: https://doi.org/10.17605/OSF.IO/9SXN5 • Paper VI: https://doi.org/10.17605/OSF.IO/6BGH2 • Paper VII: https://doi.org/10.17605/OSF.IO/724CN • Paper VIII: https://doi.org/10.17605/OSF.IO/NQ4DJ • Paper IX: https://doi.org/10.17605/OSF.IO/UYD4R
The Ignorant Observer Framework stated as a finite-record quotient theory hosted by a no-collapse interpretation, developed for the Everettian host. Four results carry the structure: a record-quotient theorem (decoherence realizes the modulus map; Fisher-Rao geometry is the host's projective metric restricted to the record base), a phase-limit theorem (relative phase stays host-side), an exact Breuer-type reference-closure obstruction with the data-rate inequality, and an emergent-reference-rate theorem fixing h_KS as an einselected semiclassical quantity. Version 2 closes the probability residuals at the record boundary: the accessible record algebra as a proposition conditional on spectrum-broadcast structure; existence of a probability measure relocated to bookkeeping coherence with branch counting excluded; the fixed-context Born form for every outcome number; and self-locating credence identified with the Born weights under a named record-credence principle. The Deutsch-Wallace burden is narrowed and the Dawid-Friederich critique answered in a structured remark. Companion papers: The Ignorant Observer (DOI 10.17605/OSF.IO/FCDSN), The Born Rule from Finite Observation (10.17605/OSF.IO/U5RDE), Why Fisher Geometry Gives Binary Born but Not Quantum Phase (10.17605/OSF.IO/N3SU9), Bandwidth-Limited Quantum Control (10.17605/OSF.IO/G5WRH).
La théorie des probabilités et la théorie quantique, l’une mathématique et l’autre physique, s’apparentent dans la mesure où chacune admet plusieurs interprétations fort différentes. Certains ont proposé que les problèmes conceptuels de la théorie quantique puissent être, sinon résolus, du moins atténués par une interprétation adéquate des probabilités. Nous montrerons plutôt, à travers un survol historique et analytique des probabilités et de la théorie quantique, que si certaines interprétations de l’une et de l’autre s’agencent particulièrement bien, aucune ne s’impose de façon unique. * * * The theory of probability and the quantum theory, the one mathematical and the other physical, are related in that each admits a number of very different interpretations. It has been proposed that the conceptual problems of the quantum theory could be, if not resolved, at least mitigated by a proper interpretation of probabilities. We rather show, through a historical and analytical overview of probabilities and quantum theory, that if some interpretations of the one and the other go along particularly well, none follows in a unique way.