Why does "the blockchain" have a definite article?
Because the blockchain refers to the blockchain technology underpinning Bitcoin. Or simply, it specifically refers to the Bitcoin blockchain. The sources below cover the differences between "[a] blockchain" and "the blockchain" really well:
From The Truth Machine: The Blockchain and the Future of Everything by Michael J. Casey and Paul Vigna:
Addressing an inconsistency in popular parlance, we generally employ three distinct usages of the word "blockchain": "The blockchain," which refers to Bitcoin's original distributed ledger; "a blockchain"— or, pluralized, "blockchains"— to cover a variety of more recent distributed ledgers that share Bitcoin's chain-of-blocks structure; and "blockchain technology," referring to the overall field. We also use "distributed ledger technology" to encompass both blockchain and non-blockchain distributed ledgers. We mostly avoid the popular construct of "blockchain" as a non-countable noun. We view a blockchain, like any ledger, as a distinct, identifiable thing, not a process. The book's title uses the definite article form to acknowledge the catalytic role that the original Bitcoin blockchain played in unleashing this field.
From Bitcoin, Blockchain & distributed ledgers by Deloitte Australia:
Bitcoin (upper case) is the well-known cryptocurrency.
bitcoin (lower case) is the specific collection of technologies used by Bitcoin’s ledger, a particular solution. We should note the
currency itself is one of these technologies as it provides the miners
with the incentive to mine.
blockchain (or blockchain technology) is the generic name for the family of technologies and solutions that provide the same
functionality as bitcoin, but which use different approaches to
realising the functionality, for example via alternate algorithms.
the blockchain (the definite article) is the particular ledger that underpins Bitcoin: the blockchain created by Satoshi Nakamoto.
a blockchain (the indefinite article) is a ledger based on blockchain technology, though not necessarily the one used by Bitcoin.
This might be as simple as using the same open source code as bitcoin
to create a new ledger, through to swapping in alternative
implementations or algorithms.
distributed ledger is a generic name for the family of problems that bitcoin and blockchain are one possible solution to.
shared ledger is an alternative generic name.
[...]
The ownership of Bitcoins, including transfers of ownership,
is recorded in a distributed ledger: the Blockchain.11
11 We use ‘the blockchain’ to refer to the distributed ledger that underpins Bitcoin, and ‘a blockchain’ to refer to the family of similar solutions, which the Blockchain is a member of.
[...]
Bitcoin represents the genesis of distributed ledgers, and the particular type of distributed ledger that Bitcoin uses – the blockchain – has a currency as an integral part of its solution.
From a ScienceDirect article, How blockchain technologies impact your business model, by Vida J. Morkunas et al.:
Before proceeding further, it is important to clarify noteworthy blockchain-related terminology. Consistent with the approach suggested by Swan (2015) and Evans-Greenwood, Harper, Hillard, and Williams (2016), we herein use the terms as follows:
Blockchain, without the use of an article. Blockchain technology, or a blockchain (indefinite article), refers to the underlying technology: A network of computers and algorithms that process Bitcoin and many other distributed ledger applications.
The blockchain, using a definite article, refers to the technology underpinning bitcoin specifically.
From a blog entry, A blockchain with emphasis on the “a” by Tim Swanson:
So it appears that there are more than one in the wild.
Yet, a couple weeks ago Fred Wilson wrote that:
If you think of the blockchain as an open source, peer to peer,
massively distributed database, then it makes sense for the
transaction processing infrastructure for it to evolve from
individuals to large global corporations. Some of these miners will be
dedicated for profit miners and some of them will be corporations who
are mining to insure the integrity of the network and the systems they
rely on that are running on it. Banks and brokerage firms are the
obvious first movers in the second category.
He later clarified in the comments and means the Bitcoin blockchain, not others.
From an article From “the Blockchain” to “distributed ledger technology” – the direction of travel for insurance by Dave Connors:
The evolution of terminology around blockchain provides a clue to the likely progression of its use in insurance. Initially it was "the blockchain" as there was effectively only one, powering the Bitcoin cryptocurrency. It then lost its definite article, becoming "blockchain" or "blockchain technology" as other cryptocurrencies and separate networks leveraged the same principles. Currently it is repurposing the existing term "distributed ledger technology" as its use expands beyond digital currencies and into other worlds.