Kreyszig, Erwin. Introductory Functional Analysis with Applications. John Wiley & Sons, Inc., 1978.

See also: https://www.uclaextension.edu/sciences-math/math-statistics/course/introduction-hilbert-spaces-adventure-infinite-dimensions-math

Philip, Rey (Editor)1 Description This interdisciplinary essay explores a forgotten hypothesis at the intersection of physics, philosophy, and fiction: that consciousness is not a byproduct of matter, but its ontological foundation. Tracing this idea from Heraclitus and Plato to Schrödinger and Penrose, the article integrates metaphysical traditions with quantum models and critiques of materialist reductionism. It introduces the Theory of Ontological Consciousness (TOC) — a literary-philosophical framework proposing ψ̂–Φ interactions as the generative basis of spacetime and form. The essay also reinterprets empirical anomalies, such as those documented by the Global Consciousness Project, as potential signatures of an underlying field of universal consciousness. For more on the Theory of Ontological Consciousness, visit www.toc-reality.org and follow new updates via Medium - https://medium.com/@philiprey.org

Baez, John C., and Mike Stay. “Physics, Topology, Logic and Computation: A Rosetta Stone.” Quantum Physics; Category Theory. arXiv:0903.0340 [Quant-Ph] 813 (March 2, 2009): 95–172. https://doi.org/10.1007/978-3-642-12821-9_2.

for - definition - privacy principle - quantum informational panpsyichism theory of consciousness - Federico Faggin - Giacomo Mauro D'Airiano

definition - privacy principle - experience isnot shareable, even in principle

for - definition - psycho-informational principle - P1 - quantum informational panpsyichism theory of consciousness - Federico Faggin - Giacomo Mauro D'Ariano

definition - psycho-informational principle - Consciousness is the information system's experience of its own information state and processing

for - definition - psycho - purity principle - quantum informational theory of consciousness - Federico Faggin - Giacomo Mauro D'Ariano

definition - psycho-purity principle - the state of teh conscious system is pure

for - private inner world - quantum information theory explanation - Federico Faggin and Giocomo Mauro D'Ariano

for - quote - consciousness - model of - as a quantum field - Federico Faggin - question - about Federico Faggin's quantum field theory of consciousness - Is it neo-dualistic?

quote - consciousness - model of - as a quantum field - Federico Faggin - (see below) - Think of the body as a structure in space and time - It is both - classical - cells are made of particles, atoms and molecules that interact quantumly in space and time - AND fields - The body is a bridge between consciousness and the classical (objective spacetime) world - The body reports to the conscious field - and creates quantum states inside the cell

potential future dialogue - Michael Levin and Federico Faggin - To unpack quantum states at cellular or subcellular level, it would be good to see a dialogue between Michael Levin and Federico Faggin

for - Federico Faggin (FF) - analytic idealism - consciousness - Deep Humanity

summary - This is an good talk that introduces Federico Faggin's (FF) ideas about consciousness from the perspective of analytic idealism, the idea that consciousness is the most fundamental aspect of reality and that materialism is an epiphenomena of consciousness, not the other way around - Bernado Kastrup's organization, Essentia Foundation invited FF to the Netherlands to give a talking tour of his new - book "Irreducible" - https://www.collectiveinkbooks.com/essentia-books/our-books/irreducible-consciousness-life-computers-human-nature - and they visited the prestigous semiconductor design company ASML' facilities, - https://www.asml.com/en - where this insightful talk was delivered - FF reconciles scientific explanation with the hard problem of consciousness and our ordinary, everyday experience of consciousness - FF's theory offers - a good western, science-based explanatory framework that is consistent with - the experiential and theoretical framework from the east - from - Tibetan Buddhist - Zen Buddhist - Vedic - and other ancient ideas of emptiness<br /> - This framing heals the divide between science and religion that has created a meaning crisis in modernity - and by so doing, also addresses a core issue of the meaning crisis - mortality salience

for - Federico Faggin - quantum physics - consciousness

summary - Frederico Faggin is a physicist and microelectronic engineer who was the developer of the world's first microprocessor at Intel, the Intel 4004 CPU. - Now he focuses his attention on developing a robust and testable theory of consciousness based on quantum information theory. - What sets Frederico apart from other scientists who are studying consciousness is a series of profound personal 'awakening'-type experiences in which has led to a psychological dissolution of the sense of self bounded by his physical body - This profound experience led him to claim with unshakable certainty that our individual consciousness is far greater than our normal mundane experience of it - Having a science and engineering background, Faggin has set out to validate his experiences with a new scientific theory of Consciousness, Information and Physicality (CIP) and Operational Probabilistic Theory (OPT)

to - Frederico Faggin's website - https://hyp.is/JTGs6lr9Ee-K8-uSXD3tsg/www.fagginfoundation.org/what-we-do/j - Federico Faggin and paper: - Hard Problem and Free Will: - an information-theoretical approach - https://hyp.is/styU2lofEe-11hO02KJC8w/link.springer.com/chapter/10.1007/978-3-030-85480-5_5

for - quantum physics - John Wheeler's theory - validating

https://inference-review.com/article/woits-way

link to: text: https://hypothes.is/a/macvwJ5zEe2kdF_K9kCN-A

Woit, Peter. Quantum Theory, Groups and Representations: An Introduction. Revised and Expanded version [2022]. Springer, 2017. https://www.math.columbia.edu/~woit/QM/qmbook.pdf.

[[hilb]] == [[hilbert spaces]] + [[linear operators]]

and probably not a bad outcome in an earlier era that thought of things in terms of clockwork and lacked the ideas of quantum theory and its attendant uncertainties.