Sign-In
Cart
Epistemic Processes: A Basis for Statistics and Quantum Theory
Paperback
History & Philosophy of SciencePhysicsProbability & Statistics
ISBN13: 9783030819255
Publisher: Springer
Published: Oct 16 2022
Pages: 245
Weight: 0.82
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
This book discusses a link between statistical theory and quantum theory based on the concept of epistemic processes. The latter are processes, such as statistical investigations or quantum mechanical measurements, that can be used to obtain knowledge about something. Various topics in quantum theory are addressed, including the construction of a Hilbert space from reasonable assumptions and an interpretation of quantum states. Separate derivations of the Born formula and the one-dimensional Schrödinger equation are given.
In concrete terms, a Hilbert space can be constructed under some technical assumptions associated with situations where there are two conceptual variables that can be seen as maximally accessible. Then to every accessible conceptual variable there corresponds an operator on this Hilbert space, and if the variables take a finite number of values, the eigenspaces/eigenvectors of these operators correspond to specific questions in nature together with sharp answers to these questions. This paves a new way to the foundations of quantum theory.
The resulting interpretation of quantum mechanics is related to Hervé Zwirn's recent Convivial Solipsism, but it also has some relations to Quantum Bayesianism and to Rovelli's relational quantum mechanics. Niels Bohr's concept of complementarity plays an important role. Philosophical implications of this approach to quantum theory are discussed, including consequences for macroscopic settings.The book will benefit a broad readership, including physicists and statisticians interested in the foundations of their disciplines, philosophers of science and graduate students, and anyone with a reasonably good background in mathematics and an open mind.
Also from
Helland, Inge S.
Theoretical Variables, Quantum Theory, Relativistic Quantum Field Theory, and Quantum Gravity
Parthasarathy, Harish
Helland, Inge S.
Hardcover
Also in
Probability & Statistics
R for Data Science: Import, Tidy, Transform, Visualize, and Model Data
Grolemund, Garrett
Wickham, Hadley
Paperback
AP Statistics Premium, 2027: 9 Practice Tests + Comprehensive Review + Online Practice
Sternstein, Martin, PH. D.
Paperback
R for Data Science: Import, Tidy, Transform, Visualize, and Model Data
Grolemund, Garrett
Cetinkaya-Rundel, Mine
Wickham, Hadley
Paperback
Graph Paper Composition Notebook: Quad Ruled 5x5, Grid Paper for Students in Math and Science
Wizo, Math
Paperback
Stat 208 Statistical Thinking: A Book for Stat 208 at Virginia Commonwealth University
Durfee, Becky
Street IV, W. Scott
Paperback
Forecasting: Principles and Practice, the Pythonic Way
Hyndman, Rob J.
Athanasopoulos, George
Paperback
The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck
Spiegelhalter, David
Paperback
Introduction to Statistics: An Intuitive Guide for Analyzing Data and Unlocking Discoveries
Frost, Jim
Paperback
Mastering Claude AI: Practical Journey from First Prompts to Pro with Claude AI
Dickey, Ryan
Paperback
The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck
Spiegelhalter, David
Hardcover
How the World Really Works: The Science Behind How We Got Here and Where We're Going
Smil, Vaclav
Paperback
Ai-Assisted Statistics for Data Scientists: 50+ Essential Concepts Using R and Python
Gedeck, Peter
Bruce, Peter
Bruce, Andrew
Paperback
Scale: The Universal Laws of Life, Growth, and Death in Organisms, Cities, and Companies
West, Geoffrey
Paperback
The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos
Jaffe, Andrew H.
Hardcover
An Introduction to Statistical Learning: With Applications in R
James, Gareth
Witten, Daniela
Hastie, Trevor
Paperback
Advanced Statistics in Research: Reading, Understanding, and Writing Up Data Analysis Results
Hatcher, Larry
Paperback
Schaum's Outline of Probability and Statistics, 4th Edition: 897 Solved Problems + 20 Videos
Schiller, John J.
Srinivasan, R. Alu
Spiegel, Murray R.
Paperback
The Only Math Book You'll Ever Need, Revised Edition: Hundreds of Easy Solutions and Shortcuts for Mastering Everyday Numbers
Kogelman, Stanley
Heller, Barbara R.
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Yu, James
Cheng, Ran
Lee, Peter
Hardcover
Mathletics: How Gamblers, Managers, and Fans Use Mathematics in Sports, Second Edition
Nestler, Scott
Pelechrinis, Konstantinos
Winston, Wayne L.
Paperback
Schaum's Outline of Probability, Random Variables, and Random Processes, Fourth Edition
Hsu, Hwei P.
Paperback
SQL Server 2025 Unveiled: The Ai-Ready Enterprise Database with Microsoft Fabric Integration
Ward, Bob
Paperback
How the World Really Works: The Science Behind How We Got Here and Where We're Going
Smil, Vaclav
Hardcover
Building Large Language Models from Scratch: Design, Train, and Deploy Llms with Pytorch
Grigorov, Dilyan
Paperback
Regression Modeling Strategies: With Applications to Linear Models, Logistic and Ordinal Regression, and Survival Analysis
Harrell Jr, Frank E.
Paperback
Challenging Mathematical Problems with Elementary Solutions, Vol. I: Volume 1
Yaglom, I. M.
Yaglom, A. M.
Paperback
Quantum Computing and Quantum Machine Learning for Engineers and Developers
Van Griensven Thé, Jesse
Rosas-Bustos, Jose
Fraser, Roydon Andrew
Hardcover
Making ChatGPT Work for You: Getting the Most Out of Generative AI as a Non-Techie
Evelyn, Lydia
Paperback
Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions
Downey, Allen B.
Paperback
Probably the Best Book on Statistics Ever Written: How to Beat the Odds and Make Better Decisions
Shapira, Haim
Hardcover
The Master Algorithm: How the Quest for the Ultimate Learning Machine Will Remake Our World
Domingos, Pedro
Paperback
Databricks Data Intelligence Platform: Unlocking the Genai Revolution
Yip, Jason
Gupta, Nikhil
Paperback
The End of Average: Unlocking Our Potential by Embracing What Makes Us Different
Rose, Todd
Paperback
Large Language Models: A Deep Dive: Bridging Theory and Practice
Keenan, Kevin
Somers, Garrett
Kamath, Uday
Hardcover
Scorecasting: The Hidden Influences Behind How Sports Are Played and Games Are Won
Moskowitz, Tobias
Wertheim, L. Jon
Paperback
Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions
Downey, Allen B.
Hardcover
AI for Robotics: Toward Embodied and General Intelligence in the Physical World
Gopalakrishnan, Keerthana
Imran, Alishba
Paperback
Time Series Analysis and Its Applications: With R Examples
Shumway, Robert H.
Stoffer, David S.
Hardcover
Guide to Methods for Students of Political Science: Property, Proof, and Dispute in Catalonia Around the Year 1000
Van Evera, Stephen
Paperback
Machine Learning Q and AI: 30 Essential Questions and Answers on Machine Learning and AI
Raschka, Sebastian
Paperback
An Introduction to Statistical Learning: With Applications in Python
James, Gareth
Witten, Daniela
Hastie, Trevor
Hardcover
Learning Statistics with Jamovi: A Tutorial for Beginners in Statistical Analysis
Navarro, Danielle
Foxcroft, David
Paperback
A Modern Introduction to Probability and Statistics: Understanding Why and How
Kraaikamp, C.
Lopuhaä, H. P.
Dekking, F. M.
Hardcover
The Theory That Would Not Die: How Bayes' Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of C
McGrayne, Sharon Bertsch
Paperback
Observability for Large Language Models: Site Reliability and Chaos Engineering for AI at Scale
Sharma, Ankush
Paperback
Building Generative AI Agents: Using Langgraph, Autogen, and Crewai
Taulli, Tom
Deshmukh, Gaurav
Paperback
Challenging Mathematical Problems with Elementary Solutions, Vol. II: Volume 2
Yaglom, A. M.
Yaglom, I. M.
Paperback
High-Dimensional Probability: An Introduction with Applications in Data Science
Vershynin, Roman
Hardcover
Modern Time Series Forecasting with Python - Second Edition: Industry-ready machine learning and deep learning time series analysis with PyTorch and p
Joseph, Manu
Tackes, Jeffrey
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Paperback
The ESRI Guide to GIS Analysis, Volume 2: Spatial Measurements and Statistics
Mitchell, Andy
Griffin, Lauren Scott
Paperback
Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin
Weinstein, Lawrence
Adam, John a.
Paperback
Unlocking Dbt: Design and Deploy Transformations in Your Cloud Data Warehouse
Cyr, Cameron
Dorsey, Dustin
Paperback
Prompt Engineering for Everyone: A Self-Taught, Human-Centered Approach to AI Programming
Tavakoli, Hamid
Paperback
The Design Inference: Eliminating Chance through Small Probabilities
Ewert, Winston
Dembski, William A.
Hardcover
The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Second Edition
Friedman, Jerome
Hastie, Trevor
Tibshirani, Robert
Hardcover
System Design with AI Interview Guide: Designing Scalable, Agentic, and Defensible Systems
Bhardwaj, Rohit
Paperback
Damned Lies and Statistics: Untangling Numbers from the Media, Politicians, and Activists
Best, Joel
Hardcover
Introduction to Statistics: An Intuitive Guide for Analyzing Data and Unlocking Discoveries
Frost, Jim
Hardcover
ACCUPLACER Math Prep: ACCUPLACER Math Test Study Guide with Two Practice Tests [Includes Detailed Answer Explanations]
Tpb Publishing
Paperback
Deep Learning in Computational Mechanics: An Introductory Course
Herrmann, Leon
Weeger, Oliver
Jokeit, Moritz
Hardcover
An Introduction to Statistical Learning: With Applications in Python
James, Gareth
Witten, Daniela
Hastie, Trevor
Paperback
Large Language Model Recipes: A Hands-On Guide to Fine-Tuning, Optimization, Deployment, and Real-World Applications
Bolla, Bharath Kumar
Subbaiah, Kalpa
Kaata, Sashi Kiran
Paperback
Bayesian Analysis with Python - Third Edition: A practical guide to probabilistic modeling
Martin, Osvaldo
Paperback
Enterprise Guide for Implementing Generative AI and Agentic AI: A Practical Guide to Developing, Deploying, and Operationalizing Ai-Driven Application
Bhattacharya, Rahul
Sinha, Vikas
Edward, Shakuntala Gupta
Paperback
From Data to Dollars: Getting Started with Data Analytics and AI in Startups
Sidoruk, Piotr
Paperback
Large Language Models: From Theory to Production
Noguer I. Alonso, Miquel
Pacheco Aznar, David
Vanegas, Esteban
Paperback
The Practical Guide to Large Language Models: Hands-On AI Applications with Hugging Face Transformers
Gridin, Ivan
Paperback
The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day
Hand, David J.
Paperback
Practical Generative Ai: From Concept to Deployment: Building and Deploying Ethical AI-Powered Solutions
Singh, Pramod
McKeone, James
Paperback
Making Statistics Work: Information Theory and Bayesian Inference
Foley, Duncan
Scharfenaker, Ellis
Paperback
Databricks Data Intelligence Platform: Powering the Agentic Era
Wojtyczka, Marcin
Yip, Jason
Gupta, Nikhil
Paperback
Exercises and Projects for The Little SAS Book, Sixth Edition
Delwiche, Lora D.
Ottesen, Rebecca A.
Slaughter, Susan J.
Paperback