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The Architects Mapping the Invisible Geometry of the Modern Query

Sandy Maguire and a new vanguard of systems designers are rewriting the relationship between data categories and the logic that retrieves them.

Numerous Times Founders Desk

The first ten years, in the founder's voice

November 4, 2026 · 3 min read
The Architects Mapping the Invisible Geometry of the Modern Query
NUMEROUSTIMES

In the early months of 2025, a fundamental shift began to circulate through the offices of the industry’s most senior systems architects, originating from a technical manifesto titled 'Arrows to Arrows.' At the center of this movement is Sandy Maguire, a developer whose work often borders on the philosophical, alongside a quiet cohort of engineers at specialized firms who are tired of the fragile abstractions governing today's databases. They are currently dismantling the traditional boundaries between static data categories and the dynamic queries used to summon them. This transformation is taking place primarily within the functional programming community, yet its implications are rippling outward to any organization that relies on complex data retrieval to maintain its competitive edge.

To understand the gravity of this change, one must look back at how we have built digital systems for the last forty years. Traditionally, we have treated data as a set of fixed boxes—categories—and queries as the hands that reach into those boxes to pull something out. This separation seemed logical, but as systems grew in complexity, the distance between the 'what' and the 'how' created a friction that slowed down even the fastest processors. Builders like Maguire argue that this divide is an artificial one, a relic of a time when we lacked the mathematical language to describe the true relationship between a question and its answer. They are now proposing a world where the query itself is a first-class citizen, shaped by the same structural rules as the data it targets.

This matters because the modern enterprise is currently drowning in its own data sprawl, often spending more time translating between different formats than actually processing information. When a developer writes a query today, they are essentially guessing at the internal structure of a category, hoping the bridge they build doesn't collapse under the weight of a slight schema change. By treating these interactions as 'arrows'—mathematical morphisms that preserve structure—the new guard is building systems that are self-correcting and inherently more robust. It is the difference between building a bridge out of wood and building one out of the very forces of gravity that keep it standing.

The human story here is one of rigorous discipline and a refusal to accept the status quo of 'good enough' software. Maguire and his peers are not typical startup founders looking for a quick exit; they are the craftsmen of the back-end, the people who spend their weekends debating the nuances of category theory so that the front-end applications we use every day don't crash. They represent a return to a more deliberate form of engineering, where the primary goal is not just to make something work, but to make it fundamentally correct. This is the Founders desk's primary interest: the individuals who are willing to go back to the first principles of mathematics to solve the messy problems of the real world.

At the heart of the 'Arrows to Arrows' philosophy is the idea that we can use the formal logic of categories to automate the generation of queries. In the past, every new way of looking at data required a human to manually write a new path to get there. Maguire’s work suggests a future where the path is generated by the structure of the data itself, effectively removing the human bottleneck from the most tedious parts of systems design. It is a move toward a more declarative world, where we tell the computer what we want and the system understands the geometric relationship required to provide it. This eliminates entire classes of bugs that have plagued software development for decades.

Why does this shift feel so urgent now? The answer lies in the sheer volume and volatility of information we now manage. We no longer live in a world of static spreadsheets; we live in a world of streaming, interconnected nodes that change by the millisecond. The old way of mapping categories to queries is too slow and too prone to error for this environment. The operators behind this movement are effectively building a new nervous system for the internet, one that is capable of handling the complexity of the 2025 landscape without breaking under the pressure of its own weight.

Observers of the field are beginning to see the first practical applications of these theories in high-frequency trading and large-scale logistics platforms. In these environments, even a microsecond of inefficiency or a minor data mismatch can result in catastrophic failure. The engineers who are adopting the 'Arrows to Arrows' mindset are finding that their code is not only faster but significantly shorter and easier to maintain. They are finding that by respecting the underlying mathematics of their data, they are freed from the drudgery of defensive programming, allowing them to focus on higher-level architectural innovation.

However, the transition is not without its challenges. The learning curve for category theory is notoriously steep, and many organizations are hesitant to move away from the familiar, if flawed, methods they have used for years. The builders leading this charge are often met with skepticism by those who view their approach as overly academic or detached from the practical realities of business. Yet, the founders we track at this desk know that today’s academic fringe is almost always tomorrow’s industry standard. The discipline required to master these concepts is exactly what sets the leaders of the next generation of infrastructure apart from the followers.

Looking forward, we should watch for the emergence of new database engines and query languages that bake these categorical principles directly into their core. We should look for the names of the engineers who are contributing to the open-source libraries that make these complex ideas accessible to the average developer. The goal is to move beyond the manual labor of mapping arrows and toward a system where the architecture itself understands the flow of information. It is a quiet revolution, happening in the deep codebases of the world, led by individuals who value the elegance of a solution as much as its utility.

In the coming months, the dialogue started by Maguire and his contemporaries will likely move from the niche forums of functional programming into the mainstream of systems architecture. As more builders realize that the friction in their systems is a result of outdated abstractions, the push for a more mathematically sound approach will become irresistible. We are witnessing the birth of a new era of software engineering, one defined by a rigorous adherence to structure and a deep respect for the invisible geometry that governs our digital lives. The arrows are being drawn, and the categories are finally speaking the same language as the queries that define them.

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