Non-Continuous Time: From the Abhidharma Kośa to Bitcoin
quiet.hash5 min read·Just now--
For most of human history, time has been treated as a background.
Events occur in time, but time itself flows independently of them.
Clocks merely measure this flow, while calendars and astronomical observations help societies coordinate their activities.
From ancient temples to modern atomic clocks, the authority to define time has almost always belonged to institutions.
Priests once determined calendars by observing the heavens.
Today, atomic clocks and GPS satellites synchronize global time.
Timekeeping has always required authority.
But there has always existed another, much stranger idea.
What if time does not flow at all?
What if events themselves create time?
Ancient Insight: Momentariness
More than two thousand years ago, Buddhist philosophers proposed a radical doctrine known as momentariness.
In the Abhidharma tradition, reality was described not as continuous substance but as a sequence of fleeting events.
Phenomena arise, persist for an instant, and then vanish.
A famous formulation states:
The past has already ceased.
The future has not yet arisen.
The present does not abide.
According to this view, the world is not composed of persistent objects moving through time.
Instead, reality unfolds through successive moments of arising and ceasing.
Continuity is only an appearance.
Just as a spinning torch creates the illusion of a circle of fire, the rapid succession of discrete events produces the illusion of a continuous world.
This insight was profound.
But it remained philosophical speculation.
Until recently, no large-scale system had made such a temporal structure operational.
Modern Philosophy: Events Instead of Objects
Centuries later, similar ideas appeared in Western philosophy.
The mathematician and philosopher Alfred North Whitehead proposed what is now known as process philosophy.
He argued that the fundamental constituents of reality are not objects but events, which he called actual occasions.
According to Whitehead, the universe is not made of static things but of processes of becoming.
Reality is not a collection of objects persisting through time.
Reality is a series of events that generate time.
Related ideas have also appeared in modern philosophy of physics. Some thinkers have suggested that spacetime itself may be better understood as a network of interactions rather than a continuous container filled with particles.
All these perspectives point toward the same radical possibility:
Time might not be fundamental.
Instead, time might emerge from ordered events.
Yet for centuries, these ideas remained theoretical.
No large-scale technological system had made them operational.
Bitcoin: Engineering Event Time
Bitcoin changed that.
Unlike traditional systems, Bitcoin does not rely on a global clock.
There is no trusted timestamp authority.
No central coordinator decides when the next event should occur.
Instead, time advances through block discovery.
Miners around the world perform enormous numbers of cryptographic hash attempts, searching for a value that satisfies the proof-of-work difficulty target.
When such a hash is found, a block appears.
This event is not scheduled.
It is not coordinated.
It simply occurs.
Mathematically, block discoveries follow a Poisson process, meaning each event is independent and unpredictable.
Bitcoin time therefore advances through a sequence of probabilistic discoveries:
hash search
↓
block discovered
↓
network propagation
↓
next block
The blockchain is not a smooth timeline.
It is a chain of discrete events.
Each block marks the creation of a new moment.
The idea that Bitcoin operates as a non-continuous temporal system has been explored in more detail in the research paper “Bitcoin: A Non-Continuous Time System.”
Entropy Collapse
Before a block is discovered, the global mining network explores an enormous search space.
The system exists in a state of uncertainty.
No one knows which miner will discover the next valid hash.
When a valid hash appears, that uncertainty collapses.
A single block becomes the candidate for the next step in history.
This moment can be interpreted as a form of entropy collapse in the global search process.
Time advances not because a clock ticks.
Time advances because uncertainty collapses into an event.
The blockchain therefore progresses through a sequence of probabilistic collapses.
One Leaf Knows Autumn
There is an old Chinese expression:
One falling leaf reveals the arrival of autumn.
The leaf does not create autumn.
It simply reveals that the season has already changed.
Bitcoin works in a similar way.
The global mining network performs enormous numbers of hash attempts every second.
All of these attempts remain invisible to the ledger.
Then suddenly, one valid hash appears.
A block is discovered.
That single event reveals the state of the entire system.
Just as a falling leaf signals a seasonal transition, a discovered block reveals that the global search process has reached a new moment.
The block does not manufacture time.
It makes time visible.
The Propagation Window
In a distributed network, however, this transition is not completed instantly.
After a block is discovered, it must propagate through the peer-to-peer network.
During this short propagation interval — typically a few seconds — additional blocks may appear, creating temporary forks.
Different nodes may briefly record different versions of history.
These forks do not represent multiple timelines.
They represent temporary uncertainty during the propagation window.
Eventually the network converges on a single chain through the longest-chain rule.
Temporary branches disappear, leaving only one accepted history.
Time itself was never inconsistent.
Only the recorded history was briefly uncertain.
The First Permissionless Clock
What makes Bitcoin fundamentally new is not only that time is event-driven.
It is that this time emerges in a permissionless system.
Anyone can participate in mining.
Anyone can attempt to create the next event.
No authority assigns turns.
No institution synchronizes the clock.
Instead, the next moment in time emerges through open probabilistic competition.
Bitcoin therefore constructs a global temporal sequence through decentralized discovery.
In effect, it implements something unprecedented:
the first permissionless clock in human history.
A New Temporal Infrastructure
For thousands of years, philosophers speculated that reality might unfold through discrete moments.
In the twentieth century, philosophers suggested that events might be more fundamental than objects.
In the twenty-first century, Bitcoin quietly turned this idea into a working global system.
Bitcoin did not merely create digital money.
It created a new temporal infrastructure:
- event-driven
- probabilistic
- decentralized
- permissionless
For the first time in history, time itself can emerge from an open network.
What once existed only as philosophical speculation has become an engineering reality.
Bitcoin did not just reinvent money.
It reinvented how time can be produced.
