HIOF • Information Velocity — Paper I: The Vector Limits of Velocity

Holographic Information Ontology Framework — Information Velocity (HIOF- IV) An Information-Ontological Treatment of Velocity, Acceleration, and Inertia This is a short, non-technical companion to the 7-paper HIOF- IV series. It is written for readers with a background in physics, relativity, or philosophy of science — not for readers already familiar with the author's wider theoretical framework. The core idea, stated plainly The speed of light is usually treated as a private property of light itself. This series asks a different question: what if the speed limit belongs to the underlying processing system, not to any individual particle? Three questions follow that standard relativity rarely asks directly: why do the sideways components of speed and the total speed share exactly the same limit; does acceleration also have a hidden ceiling; and what is inertia, really, once mass is no longer treated as "stuff." Why direction and total speed obey the same limit If speed is bounded by a single shared processing capacity, rather than three separate budgets for each direction, then no clever combination of directions can ever add up to more than that one capacity. This reframes a fact usually left unexplained in textbooks — that the sideways components and the overall speed are bounded by the same constant — as a structural necessity rather than a coincidence. Why acceleration might have a hidden ceiling Classical relativity places no limit on acceleration itself, only on speed. This series argues that acceleration is the rate of change of an underlying processing rate, and that this change itself has to be carried out in an orderly sequence. A pen cannot write faster than its own top speed, and a queue cannot be jumped without breaking the order that causes depend on. Put together, these two everyday constraints suggest that acceleration, too, has a structural ceiling — independently of whether it involves mass at all. What inertia really is Inertia is reframed here as the stability of a settled configuration — not a mysterious extra force, but the resistance any stable structure shows when something tries to force a sudden change on it. Heavier objects need more push to reach the same acceleration, but the theoretical ceiling on acceleration itself does not change with mass. This distinction — between the cost of reaching a limit and the limit itself — turns out to matter a great deal. Two ways of reading the same reality: place and pace The series proposes that direction-and-location descriptions (fields, gradients) and speed-and-timing descriptions (velocity, acceleration) are two readouts of one and the same underlying structure, differing only in which dimension is being read. Geometric time, on this reading, is a convenient language of physics rather than a substance the universe itself contains. An honest note on originality The core arguments of this series were developed independently, before the author consulted existing physics literature on maximal-acceleration proposals. Only afterward was a literature search carried out, revealing meaningful structural overlap with prior quantum-gravity and quantum-mechanical proposals for a maximum acceleration. This overlap is disclosed openly, as a coincidence of independent reasoning rather than a borrowed result, and the series does not claim priority over any existing work. What the full series covers The main sequence runs from a prologue motivating why velocity deserves independent treatment, through the vector structure of speed, the structural origin of an acceleration ceiling, a reworked account of inertia, the division of labour between spatial and temporal description, an honest comparison with prior maximal-acceleration proposals, and a closing appendix consolidating every open question into a single accountable ledger. A note on method The series is explicit about separating three registers: established results from special and general relativity, original ontological proposals developed by the author, and illustrative analogies used for exposition. Readers are encouraged to treat the ontological claims as interpretive proposals awaiting formal, quantitative development — not as settled physics. Keywords: velocity, acceleration, inertia, speed of light, special relativity, equivalence principle, information ontology, maximal acceleration, loop quantum gravity, causal ordering, philosophy of physics AuthorWai-Hung Tam (Pan), Independent ResearcherORCID: 0009-0002-7789-8464Email: [email protected]