Consciousness and Mathematics: A Number Theoretic Approach to Modelling Reality

Samarawickrama, M

Consciousness and Mathematics: A Number Theoretic Approach to Modelling Reality

Samarawickrama, M

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Publisher:: IOP Publishing
Publication Type:: Journal Article
Citation:: Journal of Physics Conference Series, 2025, 3027, (1), pp. 012013
Issue Date:: 2025-06-01

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Field	Value	Language
dc.contributor.author	Samarawickrama, M https://orcid.org/0000-0002-9224-6432
dc.date.accessioned	2026-05-15T04:25:18Z
dc.date.available	2026-05-15T04:25:18Z
dc.date.issued	2025-06-01
dc.identifier.citation	Journal of Physics Conference Series, 2025, 3027, (1), pp. 012013
dc.identifier.issn	1742-6588
dc.identifier.issn	1742-6596
dc.identifier.uri	http://hdl.handle.net/10453/195008
dc.description.abstract	This research analyses the fundamentals of numbers for interpreting consciousness and reality. Complementing G del s incompleteness theorems, we adopted number theory to explore non-referential and self-referential constructs. By examining consciousness, causation, and fundamental mathematical models of reality, we analysed stages of cognition and the emergence of self-referencing as a limitation, which brings incompleteness and undecidability to a framework. By postulating prime numbers as a non-referential fundamental basis, the study underscores their critical role in forming a complete and decidable framework for understanding consciousness and reality. We develop a framework that establishes composite numbers as secondary constructs dependent on prime numbers. Based on the foundation of prime numbers, we explored natural numbers, consisting of even and odd numbers. We analysed Goldbach conjecture and discussed the limitations of mathematical modelling based on our analysis of primes and natural numbers. Our analysis suggests that decomposing numerical systems into non-referential and self-referential components can transcend the limitations of modelling consciousness and reality. Our framework offers a profound foundation for modelling and interpreting consciousness and reality, bridging the gap between consciousness, causation, and mathematics.
dc.language	en
dc.publisher	IOP Publishing
dc.relation.ispartof	Journal of Physics Conference Series
dc.relation.isbasedon	10.1088/1742-6596/3027/1/012013
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics, 0204 Condensed Matter Physics, 0299 Other Physical Sciences
dc.subject.classification	51 Physical sciences
dc.title	Consciousness and Mathematics: A Number Theoretic Approach to Modelling Reality
dc.type	Journal Article
utslib.citation.volume	3027
utslib.for	0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
utslib.for	0204 Condensed Matter Physics
utslib.for	0299 Other Physical Sciences
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	open_access	*
pubs.consider-herdc	true
dc.rights.license	This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0). To view a copy of this license, visit https://creativecommons.org/licenses/by/4.0/
dc.date.updated	2026-05-15T04:25:11Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	3027
utslib.citation.issue	1

Abstract:

This research analyses the fundamentals of numbers for interpreting consciousness and reality. Complementing G del s incompleteness theorems, we adopted number theory to explore non-referential and self-referential constructs. By examining consciousness, causation, and fundamental mathematical models of reality, we analysed stages of cognition and the emergence of self-referencing as a limitation, which brings incompleteness and undecidability to a framework. By postulating prime numbers as a non-referential fundamental basis, the study underscores their critical role in forming a complete and decidable framework for understanding consciousness and reality. We develop a framework that establishes composite numbers as secondary constructs dependent on prime numbers. Based on the foundation of prime numbers, we explored natural numbers, consisting of even and odd numbers. We analysed Goldbach conjecture and discussed the limitations of mathematical modelling based on our analysis of primes and natural numbers. Our analysis suggests that decomposing numerical systems into non-referential and self-referential components can transcend the limitations of modelling consciousness and reality. Our framework offers a profound foundation for modelling and interpreting consciousness and reality, bridging the gap between consciousness, causation, and mathematics.

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http://hdl.handle.net/10453/195008