# Bibliography — Primary Sources for Semantic Spacetime **Load this file when you need to find or verify a source** — which paper says X, or where a claim in [foundations.md](foundations.md) or [glossary.md](glossary.md) comes from. Every entry below carries a URL that was checked for reachability during the research phase (2026-08-12); the `[VERIFIED]`/`[UNVERIFIED]` markers describe the source's verification level as used in [foundations.md](foundations.md). No entry here is fabricated: each appears in the research corpus's source lists. For the promise-theory substrate sources, cross-reference the promise-theory skill's own bibliography. --- ## 1. The Semantic Spacetime series (Burgess) - Burgess, M. *Spacetimes with Semantics* (2014). arXiv:1411.5563 [cs.MA]. Part I: "From Einstein to Milner." Defines the agenda: relationships between objects constitute space; their change is time; observer semantics are integral to spacetime. [VERIFIED] URL: https://arxiv.org/abs/1411.5563 - Burgess, M. *Spacetimes with Semantics (II): Scaling of agency, semantics, and tenancy* (2015). arXiv:1505.01716 [cs.MA]. Part II: how agency scales via super-agents/sub-spaces; scalar vs. vector promises; occupancy and tenancy. [VERIFIED] URL: https://arxiv.org/abs/1505.01716 - Burgess, M. *Spacetimes with Semantics (III): The Structure of Functional Knowledge Representation and Artificial Reasoning* (2016, rev. 2017). arXiv:1608.02193 [cs.AI]. Part III (122 pages), the most formal document: Definitions 1-9, Lemmas 1-3, the four irreducible associations, the learning/knowledge formalism. [VERIFIED] URL: https://arxiv.org/abs/1608.02193 Full text: https://arxiv.org/html/1608.02193v4 - Burgess, M. *On the scaling of functional spaces, from smart cities to cloud computing* (2016). arXiv:1602.06091 [cs.CY]. The "functional space" reading of SST applied to the empirically observed power-law scaling of cities. [VERIFIED] URL: https://arxiv.org/abs/1602.06091 - Burgess, M. *A Spacetime Approach to Generalized Cognitive Reasoning in Multi-scale Learning* (2017). arXiv:1702.04638 [cs.AI]. A hybrid reasoning/pattern-recognition architecture as the ML instantiation of SST reasoning. [VERIFIED] URL: https://arxiv.org/abs/1702.04638 - Burgess, M. *Testing the Quantitative Spacetime Hypothesis using Artificial Narrative Comprehension (I): Bootstrapping Meaning from Episodic Narrative viewed as a Feature Landscape* (2020). arXiv:2010.08126 [cs.AI]. SST's empirical arm: parsing narrative via measurable size/time cues as an event "landscape"/interferometry; concepts as process invariants. [VERIFIED] URL: https://arxiv.org/abs/2010.08126 - Burgess, M. *Testing the Quantitative Spacetime Hypothesis using Artificial Narrative Comprehension (II): Establishing the Geometry of Invariant Concepts, Themes, and Namespaces* (2020). arXiv:2010.08125 [cs.AI]. Part II: reconstructing concepts via multiscale interferometry based on the four fundamental spacetime relationships. [VERIFIED] URL: https://arxiv.org/abs/2010.08125 - Burgess, M.; Gerlits, A. *Continuous Integration of Data Histories into Consistent Namespaces* (2022). arXiv:2204.00470 [cs.DC]. Versioned coordinates / namespaces for data pipelines — SST's temporal-consistency scheme. [VERIFIED] URL: https://arxiv.org/abs/2204.00470 - Burgess, M. *Agent Semantics, Semantic Spacetime, and Graphical Reasoning* (2025). arXiv:2506.07756 [cs.AI]. The current formal statement: the γ(3,4) representation (3 node meta-types × 4 link types), the nine typing design rules, absorbing states as information leaks, causal-set kinship. [VERIFIED] URL: https://arxiv.org/abs/2506.07756 Full text: https://arxiv.org/html/2506.07756v2 - Burgess, M. *On The Role of Intentionality in Knowledge Representation: Analyzing Scene Context for Cognitive Agents with a Tiny Language Model* (2025). arXiv:2507.10000 [cs.AI]. Intentionality in data via scale separation. [VERIFIED] URL: https://arxiv.org/abs/2507.10000 - Burgess, M. *γ(3,4) 'Attention' in Cognitive Agents: Ontology-Free Knowledge Representations With Promise Theoretic Semantics* (2025). arXiv:2512.19084 [cs.AI]. SST as a bridge between vectorized ML and knowledge graphs without relying on language models implicitly. [VERIFIED] URL: https://arxiv.org/abs/2512.19084 ## 2. Author's web project pages and essays - Burgess, M. *Semantic Spacetimes* (project page). "A semantic spacetime is a discrete graph, which evolves, and whose properties vary from point to point." [VERIFIED] URL: http://markburgess.org/spacetime.html - Burgess, M. *Semantic Spacetime — What is it?* The best short primary exposition; source of the "not quantum gravity," Lamport-relativity, spacelike/timelike measurement, and cooperative-causality material. [VERIFIED] URL: http://markburgess.org/semantic_spacetime.html - Burgess, M. *The Semantic Spacetime Project: Bringing technology and physics together* (2016 essay). "For inspiration, not for refereed publication." [VERIFIED] URL: http://markburgess.org/blog_spacetime3.html - Burgess, M. *Semantics of Spacetime and Cognitive Processes* (Kavli salon write-up, Medium, 2022). SST as a formal bridge for neuroscience findings. [VERIFIED] URL: https://medium.com/@mark-burgess-oslo-mb/semantics-of-spacetime-and-cognitive-processes-d39214e9c44a - Burgess, M. *Semantic Spacetime 1: The Shape of Knowledge* (Medium, 2025). [VERIFIED — existence and framing; URL from search index] URL: https://mark-burgess-oslo-mb.medium.com/semantic-spacetime-1-the-shape-of-knowledge-86daced424a5 - Burgess, M. *Universal Data Analytics as Semantic Spacetime* (Medium series, 2022). [VERIFIED — existence and framing; URL from search index] URL: https://mark-burgess-oslo-mb.medium.com/universal-data-analytics-as-semantic-spacetime-dee7a76661c2 - Burgess, M. *Motion of the Third Kind I & II* (ResearchGate, 2021-22). Existence verified; full texts not fetched. [UNVERIFIED in detail] URL: https://www.researchgate.net/publication/351492269 URL: https://www.researchgate.net/publication/360757745 - Burgess, M. *Notes on Trust As A Causal Basis For Social Science* (2022). ResearchGate; DOI 10.2139/ssrn.4252501. [VERIFIED — existence] URL: https://www.researchgate.net/publication/362387906 - Burgess, M. *The Semantic Spacetime Hypothesis: A Guide to the Semantic Spacetime of Information* (2020 note). ResearchGate publication 344338994. Existence verified; full contents not accessible. [UNVERIFIED in detail] URL: https://www.researchgate.net/publication/344338994 - Burgess, M. *In Search of Certainty: The Science of Our Information Infrastructure* (χtAxis Press, 2013). The popular introduction; contents not fetched during research. [UNVERIFIED in detail] URL: https://markburgess.org/certainty.html - Burgess, M. *Smart Spacetime* (χtAxis Press, 2019). ISBN 978-1797773704. Book-length exposition; contents not fetched. [UNVERIFIED in detail] URL: https://www.amazon.com/dp/1797773704 - Burgess, M. *SSTorytime* (software). The open-source SST knowledge-graph database (Go over PostgreSQL, Apache-2.0) with the N4L note language and MCP-SST connector; also the older repository and a Julia port. [VERIFIED] URL: https://github.com/markburgess/SSTorytime URL: https://github.com/markburgess/SemanticSpaceTime URL: https://juliaknowledge.github.io/SemanticSpacetime.jl/dev/ ## 3. Spacetime-Entangled Networks and consensus - Borrill, P.; Burgess, M.; Karp, A.; Kasuya, A. *Spacetime-Entangled Networks (I): Relativity and Observability of Stepwise Consensus* (2018, rev. 2020). arXiv:1807.08549 [cs.DC]. SST/promise semantics at the consensus layer: entanglement as co-dependent evolution of state; promises of sequential, in-order, atomically confirmed delivery. [VERIFIED] URL: https://arxiv.org/abs/1807.08549 ## 4. Promise theory (the substrate) - Bergstra, J.A.; Burgess, M. *A static theory of promises* (2008, v5 2014). arXiv:0810.3294. The foundational promise-vs-obligation paper. [VERIFIED] URL: https://arxiv.org/abs/0810.3294 - Bergstra, J.; Bethke, I.; Burgess, M. *A process algebra based framework for promise theory* (2007). arXiv:0707.0744. The process-algebra root of promise semantics. [VERIFIED] URL: https://arxiv.org/abs/0707.0744 - Burgess, M.; Bergstra, J.A. *Promise Theory: Principles and Applications* (χtAxis Press, 2014; 2nd ed. 2019). The canonical statement; free PDF. [VERIFIED] URL: https://markburgess.org/BookOfPromises.pdf Page: https://markburgess.org/promises.html ACM DL: https://dl.acm.org/doi/abs/10.5555/2636996 - Bergstra, J.A. *Promise Theory as a Tool for Informaticians* (Transmathematica, 2020). DOI 10.36285/tm.35. Independent scholarly overview. [VERIFIED] URL: https://transmathematica.org/index.php/journal/article/view/35 - Burgess, M. *Thinking in Promises: Designing Systems for Cooperation* (O'Reilly, 2015). ISBN 9781491917879. The practitioner's companion. [VERIFIED] URL: https://books.google.com/books/about/Thinking_in_Promises.html?id=ibL4CQAAQBAJ - Burgess, M.; Prangsma, E. *Koalja: from Data Plumbing to Smart Workspaces in the Extended Cloud* (2019). arXiv:1907.01796. The data-pipeline lineage of the SST project. [VERIFIED] URL: https://arxiv.org/abs/1907.01796 ## 5. Adjacent and contextual work - Lamport, L. *Time, Clocks, and the Ordering of Events in a Distributed System.* *CACM* 21(7):558-565, 1978. The precedence view of time Burgess credits as SST's origin. [VERIFIED] URL: https://amturing.acm.org/p558-lamport.pdf - Mattern, F. *Virtual Time and Global States of Distributed Systems* (1988/89). Vector clocks. [VERIFIED] URL: https://vs.inf.ethz.ch/publ/papers/VirtTimeGlobStates.pdf - Kowalski, R.; Sergot, M. *A logic-based calculus of events.* *New Generation Computing* 4:67-95, 1986. [VERIFIED] URL: https://www.doc.ic.ac.uk/~rak/papers/event%20calculus.pdf - McCarthy, J.; Hayes, P. *Some philosophical problems from the standpoint of artificial intelligence.* *Machine Intelligence* 4, 1969. [VERIFIED] URL: http://www-formal.stanford.edu/jmc/mcchay69.pdf - Tolman, E.C. *Cognitive maps in rats and men.* *Psychological Review* 55(4):189-208, 1948. [VERIFIED] URL: https://psycnet.apa.org/record/1949-00103-001 - O'Keefe, J.; Nadel, L. *The Hippocampus as a Cognitive Map.* Clarendon Press, 1978. [VERIFIED] URL: https://discovery.ucl.ac.uk/id/eprint/10103569/ - Hafting, T.; Fyhn, M.; Molden, S.; Moser, M.-B.; Moser, E.I. *Microstructure of a spatial map in the entorhinal cortex.* *Nature* 436:801-806, 2005. [VERIFIED] URL: https://www.nature.com/articles/nature03721 - Constantinescu, A.O.; O'Reilly, J.X.; Behrens, T.E.J. *Organizing conceptual knowledge in humans with a gridlike code.* *Science* 352(6292):1464-1468, 2016. DOI 10.1126/science.aaf0941. [VERIFIED] URL: https://www.science.org/doi/10.1126/science.aaf0941 - Ralph, M.A.L.; Jefferies, E.; Patterson, K.; Rogers, T.T. *The neural and computational bases of semantic cognition.* *Nature Reviews Neuroscience* 18:42-55, 2017. [VERIFIED] URL: https://www.nature.com/articles/nrn.2016.150 - Osgood, C.E.; Suci, G.J.; Tannenbaum, P.H. *The Measurement of Meaning.* Univ. of Illinois Press, 1957. The "semantic differential." [VERIFIED] URL: https://www.press.uillinois.edu/books/?id=p745393 - Gärdenfors, P. *Conceptual Spaces: The Geometry of Thought.* MIT Press, 2000. [VERIFIED] URL: https://mitpress.mit.edu/9780262572194/conceptual-spaces/ - Harris, Z.S. *Distributional Structure.* *Word* 10(2-3):146-162, 1954. [VERIFIED] URL: https://www.tandfonline.com/doi/abs/10.1080/00437956.1954.11659520 - Landauer, T.K.; Dumais, S.T. *A solution to Plato's problem: The latent semantic analysis theory...* *Psychological Review* 104(2):211-240, 1997. [VERIFIED] URL: https://www.stat.cmu.edu/~cshalizi/350/2008/readings/Landauer-Dumais.pdf - Turney, P.D.; Pantel, P. *From Frequency to Meaning: Vector Space Models of Semantics.* *JAIR* 37:141-188, 2010. [VERIFIED] URL: https://arxiv.org/abs/1003.1141 - Mikolov, T.; Sutskever, I.; Chen, K.; Corrado, G.; Dean, J. *Distributed Representations of Words and Phrases and their Compositionality* (2013). arXiv:1310.4546. word2vec skip-gram. [VERIFIED] URL: https://arxiv.org/abs/1310.4546 - Sorkin, R.D. *Causal sets: discrete gravity* (2003). arXiv:gr-qc/0309009. [VERIFIED] URL: https://arxiv.org/abs/gr-qc/0309009 (The program originates with Myrheim, *Statistical Geometry*, CERN preprint TH.2538, 1978 — cited in arXiv:2506.07756; citation chain verified, [VERIFIED].) - Surya, S. *The causal set approach to quantum gravity* (2019). arXiv:1903.11544. [VERIFIED] URL: https://arxiv.org/abs/1903.11544 - Konopka, T.; Markopoulou, F.; Smolin, L. *Quantum graphity* (2006). arXiv:hep-th/0611197. [VERIFIED] URL: https://arxiv.org/abs/hep-th/0611197 - Milner, R. *The Space and Motion of Communicating Agents.* Cambridge Univ. Press, 2009. Bigraphs — the reference model Burgess builds on. [VERIFIED] URL: https://www.cambridge.org/core/books/space-and-motion-of-communicating-agents/ - Gutiérrez, C.; Hurtado, C.; Vaisman, A. *Temporal RDF* (ESWC 2005). [VERIFIED] URL: https://users.dcc.uchile.cl/~cgutierr/papers/temporalRDF.pdf - Erwig, M.; Güting, R.H.; Schneider, M.; Vazirgiannis, M. *Spatio-temporal data types: an approach to modeling and querying moving objects in databases.* *GeoInformatica* 3:265-291, 1999. [VERIFIED] URL: https://web.engr.oregonstate.edu/~erwig/papers/MovingObjects_GEOINF99.pdf - Wikipedia. *Semantic spacetime.* Tertiary overview; use only to locate primary URLs, treat claims [UNVERIFIED] unless corroborated by Burgess. [UNVERIFIED — tertiary] URL: https://en.wikipedia.org/wiki/Semantic_spacetime - Wikipedia. *Promise theory.* [UNVERIFIED — tertiary] URL: https://en.wikipedia.org/wiki/Promise_theory - Pavlyshin, V. *Semantic Space Time for AI Agent Ready Graphs* (2025, Leanpub). Independent third-party book building on SST. ISBN 9798266921313. [VERIFIED — listing] URL: https://leanpub.com/sst-4-agenticai - Dewar, N. *The epistemology of spacetime.* *Philosophy Compass* 17(4), 2022. DOI 10.1111/phc3.12821. Philosophy of physics — semantics *of* spacetime, distinct from Burgess's spacetime *of* semantics. [VERIFIED] URL: https://compass.onlinelibrary.wiley.com/doi/10.1111/phc3.12821