Is there anything beyond art? Well, maybe there is. ART in German language is an abbreviation of “Allgemeine RelativitätsTheorie”. In other words the General theory of relativity developed by Albert Einstein is in its shortest form a one line mathematical expression, but with lots of equations included in the general statement, which grew out of his much earlier special theory of relativity. The textbook by Michael Ruhrländer provides a step by step approach to get to grips with the mathematics involved to reach a better understanding of what “ART” is about. Take your time to digest it and brush up a lot of maths beyond your A-level maths.
The abbreviation ART suggests a lint to art in popular understanding. Indeed, it needs able artists to show insights of ART to more people than the restricted scientific circles. An understanding of a 4-dimensional system of time-space has some more accessible features than waves of gravitation and the many puzzles that can be solved through ART.
Decades later quantification has build upon ART and takes us further into fabulous world of mathematical and physical imagination as well as real world applications. 
Suicide Prevention
The annual mortality statistics and special reports on suicidal tendencies are a tough reading. OECD Statistics give a at least an approximate, comparative perspective. Reporting routines and medical confirmation of a suicide or suicidal behavior still vary quite a bit between countries. Nevertheless, the usually reported incidents per 100.000 persons remain rather abstract.
Absolute numbers speak a clear language. For example in Germany there were about 10.300 recorded suicides in 2023, France had to mourn about 9200 in 2022. To put the size of the problem in perspective it is helpful to know that in Germany all other not aging related causes of death like traffic accidents, drugs or murder make up for around 7.000 deaths per year. The targeting of resources and prevention efforts on these vulnerable people seems inevitable. However, we see only limited additional efforts to curb the problem.
A more detailed analysis of the frequencies reveals the gender and age differences. More men commit suicides and older (very old) people have higher risks. The oldest age group of men is most at risk.
Since the Covid-19 pandemic young women show rising trends in many countries again of suicidal attempts and self-inflicted wounds. Despite a continuing effort of research (Links) there is no single cause to explain the occurrences.
As a working hypothesis, which awaits empirical tests, I would look into societal factors that stigmatize persons who are made to believe or feel like they are beyond the normal spectrum of society. The lack of acceptance of diversity concerning gender, age, ethnicity, body shapes or mental states like anxiety. Poverty might cause immense distress and suffering. Large shifts in wealth in both directions cause additional risks.
It seems as if our minds and society are constantly in a kind of „regression towards the mean“ posing challenges to those furthest away from the average or perceived norms. Percentile ranks or percentile scores are commonly used to express a person’s position in a frequency distribution. For example you are better/lower than 90% of persons of your age group. Such statements might cause further distress for persons. However, summarising across several (psychological) measurements, they may yield encouraging indications as well. Actual and perceived positions in such percentile ranks add another “social risk” as perceived positions may govern behavior. 
Wave and Particle
The history of ideas in physics has been evolving or revolving a lot around the wave-particle-duality. Even if the basic debate by now is about a century old, we still need to come to grips with this challenging notion that light is not just a beam and nice colors through a prism yielding a spectrum of frequencies, but it can emit material matter called photons that have a non-zero value(s) of energy.
Max Planck came up with the formula E = h × f, where h is the Planck constant, E the energy and f the frequency of the photon. The synthesis of Einstein’s light quanta and De Broglie’s matter waves became the foundation of quantum mechanics.
The exciting evolution of physical ideas results in the state of the “art” view that, for example, light can take both forms, wave and particle, at the same time. Quantum mechanics has become a thriving field in physics and is currently transforming the world of computing in the 21st century. The amounts of funds invested in the race of applications of quantum computing across the globe are “astronomic” and have become part of dual-use spending of research funding. Encryption of information or access codes are of growing importance for civil (banking, mobility, health info) or military purposes. The speed of quantum processors will allow cracking of codes much faster and therefore new dangers are looming in many fields. It is a rather competitive field, which has evolved a lot from the original wave and/or particle vision of the world (of physics).
For social scientists there are several examples of applications of the concepts of quantum mechanics to social and behavioral sciences (Link 1, Link 2). Hard to predict, whether the wave and/or particle view will dominate the social applications of elements of the history of ideas in physics. New concepts in science challenge our traditional science-based thinking about time, space and space-time with implications even for our understanding of causality and covariance.
(Image of Dice icoshahedron (animated 3D image) from Egypt, dated to 2nd century before our time, BNF, Paris) 
Negative time
In 2025 an experimental setting has come up with a demonstration of negative time. This is a mind-blowing mental exercise to imagine the science fiction like framework to allow time to be negative as well.
This invites several epistemological questions as well. Can we imagine or live with a reversible concept of time? Maybe music has given us clues. In composition of music, we can easily play the notes of a basic theme just in reverse or mirrored order. Modern rhythms like in beat music as accompaniment by a drum use for example a rhythm like (use your hands or drum sticks!)
“left left right left /
right right left right”, (redo faster if you internalized the rhythm).
A reversal of the beat (its inversion) like replays of rhythms in reverse order seem to return the energy. This beat pattern is perceived as forward moving and is advancing in chronological time. It has fascinated a whole generation and spurred crazy movements to accompany the rhythm.
A simple tune might be played in reverse order as well. Just take a piano scale and play 1 2 3 1 fingers, and then 1 3 2 1 in a mirrored fashion (1231 1321). Even 1 2 3 1 as 3 2 1 3 gives an impression of inversion. Through this composition technique you get a bit of a feeling for the potential of a reversal of time or what negative time might feel like.
The innovation through quantification challenges our concepts of time more and more. The direction of time is subject of a fundamental revision. Theoretical concepts have predicted this for a long time.
(Image: Muséum national d’Histoire naturelle, Paris)
Quantification
The most obvious association with quantification is the attempt to quantify in the sense of measurement of situations, locations or social phenomena. This has taken considerable steps with the availability of smartphones that measure and thereby quantify all sorts of wanted and unwanted information about us. The distances walked are among the easiest to quantify. There have been many accounts and discussions about this kind of quantification. The results have been a further push towards self-optimization assisted by a quantification of almost all aspects of life. That is daily business of social sciences.
Quantification has another well-defined meaning to it, which is in physics. The revolution of the early 20th century has been to deviate from classical physics which assumed continuous processes in time and continuous measurements to the new world of quantum physics, another kind of quantification. This allusion is due to the Alain Aspect’s inspiring book “Si Einstein avait su” (2025) and his efforts to make quantum physics understood to a broader public. For me one of the merits of the book is the reminder that experimental physics can contribute and resolve many epistemological questions.
(Image: my popularized approximation of Schrödinger’s cat in Berlin Zoo)
Time Concepts
Tell me about your concept of time. How do you define time? Answers to this question are likely to depend on your upbringing, affinity to a specific scientific discipline or epistemological belief(s). Aristotle defines time to be subordinate to the more basic principle of change. To understand change we need the concept of time. Two points in time define time, intermediate points are possible, which might be interpreted as a precursor of infinitesimally short spells of time. To explain change, Aristotle refers to his concept of time. Other concepts of time build on the notion of succession of events or sequences of events.
Clocks going round in circles have been used to show the progression of time independent of events. Beams of atoms later allowed for more precision of time keeping. The prevalent concept of time still is dominated by the idea of time as an arrow, usually depicted in some diagram resemblance based on the Cartesian coordinate system, but usually starting at 0 or a particular point in time as diagrams in economics.
Following on from the old concept of change and time, we still claim for causality in most day-to-day experiences or for social processes the link to a chronological progression of time. In statistical analyses building on time-stamped occurrences we may use event history analyses or stochastic differential equations to analyze (social) change depending on one or several (earlier) factors. Even the theory of deterministic chaos, which is applied in weather forecasts for example, arises from the sequence of point of measurements.
Mainly since Isaac Newton we cherish the notion of a universal time, which helps us to coordinate different locations on our planet with reference to the Greenwich mean time. Other concepts of time make use of infinity of time and how to deal with this. Life before, or life after death, are human constructs trying to make time understandable or at least manageable for us beyond our own living time. Depictions of time in the arts, paintings or music opens up yet another vast space of thinking about, as well as, experiencing time. We did have and still do have a great time thinking about time. 
Mindmap Me
Tools like artificial intelligence allow all sorts of transformations and depictions. The photo editing tools are widespread and particularly popular among the young users. My own transformative exercises, latest with www.bairbe.me, have yielded interesting insights, well worth an intergenerational playmate. For the guys there is the www.yobrick.com version for brick gamers. 
The App “Canvas” allowed me to delve deeper into my own mind by giving instructions of how to create an image of the structure of the blog entries on this webpage. Of course, it is not (yet) a real AI-generated content map, but it is only a matter of time until such tools will exist. After all, this would be just an arranged and rearranged list of contents using the hyperlink structure of the texts as well.
For the time being, I derive my own structure of the blog entries by topics, categories and tags including the hyperlinks or internal referrals. Interlinkages are mostly stated explicitly. However, there are many implicit links, which are obvious to some, but not others. AI-systems could use occurrences of words, synonyms and antonyms . Colors in addition to bubble sizes and (in)direct lines may complement such mindmaps. This can help to reveal another, additional layer to connections between categories or tags. The Ai-generated image shown below was created with the APP Canvas as a first approximation and AI-augmented test version in form of abstract images).
Next steps on the way to understand human intelligence and, maybe, augment it with a next generation AI-system would use a colored-3D version of such a mindmap and use the chronological evolution of the blog posts in a kind of evolutionary animation. This should allow us to go beyond the usual psychological classification of fluid and crystallized intelligence. We might come to grips what it means to be “in a Paris state of mind” or when hallucinations become overwhelming.
Hallucinations
In the 21st century hallucinations have become a daily experience. The origins of the word can be followed back at least to the Latin verb “alucinor”, best translated with “to hallucinate”. As a verb to can conjugate it, meaning that I can do it, you can do it, s/he can do it, and we may do it in groups. Roman emperors did it, American presidents do it and, of course, AI does it. Hence, it is a great subject to study.
In “Nature” 2025 we find ways to limit hallucinations of AI systems. The strategy consists mainly in repeated queries of the same type, but from different angles. It is a bit like cubism applied to informatics. On “github.com” we can follow the rankings of AI-models using LLMs based on the “hallucination-leaderboard” developed by Vectara. On “huggingface.com” you can test the Hughes Hallucination Evaluation Model. For example it is possible to run a test of your own small text documents (just like any blog entry on this webpage) and what the AI systems will do them in an attempt to summarize your ideas. According to the “hallucination-leaderboard” we are confronted with a 1.3%-4% hallucination rate of the top 25 LLMs as AI-systems. In text based systems the quantity of “errors” is a first indicator only. The seriousness of the omission, addition of wrong information or an erroneous judgment will be left to the reader or analyst to uncover.
There is now a lot to do to test various AI-systems on their “trustworthiness” in summarizing my own work. My very own daily hallucinations have become a large data base as a test case for the capacity of LLMs to make sense of them.
Based on the series of passed blog entries I shall test the capacity of AI to predict the n+1 blog entry. It would be great to know today what I am going to write about tomorrow etc. Thanks to AI I shall have (finally) a sort of intellectual life after death (not sure whether I should want this). Enough of hallucinations and on hallucinations for now, back to serious readings or fictionalized science. (Image: extract from Delphine Diallo, Kush, 2024 at Hangar Gallery Brussels). 
Corridorisation Connectivity
In some cities, “I love Paris” (Jazz Song), we admire the “breath-taking” large corridors, right in the centre of the city. This has been the outcome of the urban planning in the 18th century. Haussmann designed large parts of Paris with huge corridors despite the medieval narrow streets in some of the arrondisements”. Ease of traffic, fewer riots and representative housing became the new mantra of urban planning and superb boulevards.
In the 21st century it is about time to question the notion and social process of corridorisation. This has been accomplished in a paper by Fatima Tassadq et al. (2025). Modern infrastructure like fibre-optic cables, energy or water networks are easiest to deploy in urban spaces with large corridors than the complex narrow inner cities with supposition of different kinds of network layers. The grand ideas of the 18th century should be questioned from time to time and some districts that have escaped the corridorisation might well have a particular charm about them, maybe just because they seem to escape the rational approach of making and structuring space by means of large corridors. Large corridors separate city districts and they are a major driving force of gentrification.
The rationality of corridors has some roots in maths or physics of complexity. A recent paper by Shanshan Wang et al. (2024) reports the surprising finding that the transport corridors in several cities across the globe allow for a 1.3 times the distance of transport networks compared to the so-called direct linear “bird’s flight line”. Hence, corridorisation is (has been) a rather pervasively applied model of urban planning.
Alternative approaches advocate in favor of the 15-minutes walking distance city. All amenities like shops, schools, maybe work and services should be reachable within a 15 minutes walk. This does include “walking corridors” that facilitate (social) connectivity in inner cities. Cyclists also claim their corridors or fast lanes across cities, which underlines the pertinence to take corridorisation seriously and apply the concept with care.
In any case, social connectivity is key. The big social media platforms operate similar to the traffic infrastructure in the 21st century and provide huge corridors to knowledge and people. We only realize this once a service (for example tiktok) or the internet altogether gets disconnected. We have moved from (social) categorisation to (social) corridorisation as technology and rationalisation have taken the upper hand to structure our (social) lives. 
Modular books
Online publishing offers much more flexible forms of publishing. Even traditional book formats can be organized in new ways. Instead of a fixed sequence of chapters, paragraphs or blog entries, the sequence becomes a matter of choice. Either in the author’s hand or in the hands of readers, the cruising through content allows very individual experiences of what still is the same content. Just as learning, which is ultimately an individualized process, the reading or scrolling through content creates singular experiences with the content. Several choices of more in depth reading should keep the reader interesting to dig further along the personal knowledge trajectory according to own prior interests.
The motivation of a person to read depends on the reader’s own interests and current situation or context. The “state of mind” constitutes the willingness to stop at certain pages or entries. The search function, keywords or tags allow to deviate from an author’s intended sequence of chapters. An online textbook has easy entry and exit points. They are not predetermined. The risk, however, is that the reader stops at a point without loose ends, somehow in expectation of a conclusion of a succinct summary. That’s probably the easiest job for any AI system, based on a series of entries.
However, the joy of the journey through knowledge gets lost through the use of AI as a short cut. Just like physical exercise rewards you with additional strength, mental exercise keeps us healthy.
Traditional predefined sequences – like books, e-books or flip-books are also available on this webpage either through the post archive or the continuously growing books, e-books or flip-books page. 