The term “sidechains” was first described in the paper “Enabling Blockchain Innovations with Pegged Sidechains”, circa 2014 by Adam Back et al. The paper describes “two-way pegged sidechains”, a mechanism where by proving that you had “locked” some coins that were previously in your posession, you were allowed to move some other coins within a sidechain.
Public blockchains: a public blockchain is a blockchain that anyone in the world can read, anyone in the world can send transactions to and expect to see them included if they are valid, and anyone in the world can participate in the consensus process - the process for determining what blocks get added to the chain and what the current state is. As a substitute for centralized or quasi-centralized trust, public blockchains are secured by cryptoeconomics - the combination of economic incentives and cryptographic verification using mechanisms such as proof of work or proof of stake, following a general principle that the degree to which someone can have an influence in the consensus process is proportional to the quantity of economic resources that they can bring to bear. These blockchains are generally considered to be "fully decentralized".
They rely on a technology called SPV (simplified payment verification) proofs, which work like this: in order to send money to a sidechain and back to the main bitcoin network again, users need to attach a proof that they really have the funds. Without these proofs, when users or miners move their money back to the main chain, under certain conditions, they could take more money than they really have.

Jump up ^ Iansiti, Marco; Lakhani, Karim R. (January 2017). "The Truth About Blockchain". Harvard Business Review. Harvard University. Archived from the original on 18 January 2017. Retrieved 17 January 2017. The technology at the heart of bitcoin and other virtual currencies, blockchain is an open, distributed ledger that can record transactions between two parties efficiently and in a verifiable and permanent way.

The consensus mechanism involves ascertaining transaction validity and uniqueness. Smart contracts address the validity portion. To ensure uniqueness, the protocol program in Corda checks whether any other transaction has used any of the input states of this transaction. If no other transaction has used any of the input states, that this transaction is unique.
It might seem that this technology is beneficial for any business, but it is not. Quite often projects fail to justify their will of public or private blockchain implementation. The key reason to use blockchain is the inefficiency of existing centralized solution that is slow, expensive, and lacks transparency and reliability. In other cases, blockchain isn’t required.
Performance at scale: It is not uncommon for large businesses to process 100,000’s of transactions per second (TPS). Therefore, enterprise blockchains need to scale so that they can deliver performance accordingly. To achieve this, they can compartmentalize processes using containers or similar approaches. Read more about this requirement in this article “Enterprise blockchain ready to go live”.
People believe that permissioned means that only a select group of people can access the data and that’s the security feature. But it’s not. Since there is no real user data on the blockchain, (you) as a member of the public, can’t verify the actual content of it. This means that data resides in a location where corruption can stay undetected and data can be easily modified. So why does it even exist? Mainly because of the phenomena known as “hype surfing”; essentially reusing old technology and strapping a blockchain sticker on it gets IBM salesmen a foot in the door to institutions who can’t evaluate the technology accurately in the first place. Unfortunately, even some teams doing public token offerings started to sell this deeply flawed approach to the public.

Plasma is a proposed framework for incentivized and enforced execution of smart contracts which is scalable to a significant amount of state updates per second (potentially billions) enabling the blockchain to be able to represent a significant amount of decentralized financial applications worldwide. These smart contracts are incentivized to continue operation autonomously via network transaction fees, which is ultimately reliant upon the underlying blockchain (e.g. Ethereum) to enforce transactional state transitions.
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A blockchain is a decentralized, distributed and public digital ledger that is used to record transactions across many computers so that the record cannot be altered retroactively without the alteration of all subsequent blocks and the consensus of the network.[1][18] This allows the participants to verify and audit transactions inexpensively.[19] A blockchain database is managed autonomously using a peer-to-peer network and a distributed timestamping server. They are authenticated by mass collaboration powered by collective self-interests.[20] The result is a robust workflow where participants' uncertainty regarding data security is marginal. The use of a blockchain removes the characteristic of infinite reproducibility from a digital asset. It confirms that each unit of value was transferred only once, solving the long-standing problem of double spending. Blockchains have been described as a value-exchange protocol.[13] This blockchain-based exchange of value can be completed quicker, safer and cheaper than with traditional systems.[21] A blockchain can assign title rights because, when properly set up to detail the exchange agreement, it provides a record that compels offer and acceptance.
2) Yea, blockchain could be a suboptimal MQ Series, a slower append only persistent wire that has a lot of ready-made tools for audit and security analysis (ecosystem argument). As blockchain ecosystem grows all kinds of data transformation tools will appear (e.g. we are working on such). Inside blockchain could be tuned to be less PoW intensive and to cut blocks faster. Besides, the variations of PoS or a hybrid PoW + PoS scheme are emerging which could use the fact that inside, as you say, all network participants can have clear identities, unlike on the public bitcoin’s blockchain.
The Bitcoin White Paper was published by Satoshi Nakamoto in 2008; the first Bitcoin block got mined in 2009. Since the Bitcoin protocol is open source, anyone could take the protocol, fork it (modify the code), and start their own version of P2P money. Many so-called altcoins emerged and tried to be a better, faster or more anonymous than Bitcoin. Soon the code was not only altered to create better cryptocurrencies, but some projects also tried to alter the idea of blockchain beyond the use case of P2P money.

This segment is where we have seen the most rapid metamorphosis in the past year, mostly in financial services. These solutions are industry-specific, and they are based on private blockchain or ledger infrastructures. A caveat here is that some of these are not full blockchains. Rather, they are distributed ledgers, which are a subset of blockchain capabilities. And some don’t even include a consensus element, which takes the implementation another level down from distributed ledger tech.

“Given all of this, it may seem like private blockchains are unquestionably a better choice for institutions. However, even in an institutional context, public blockchains still have a lot of value, and, in fact, this value lies to a substantial degree in the philosophical virtues that advocates of public blockchains have been promoting all along, among the chief of which are freedom, neutrality and openness.” 
The need and applications for side chains vary greatly, but Aelf is building an entire infrastructure that allows businesses to customize their chains depending on needs. Financial, insurance, identity and smart city services are a few applications which need their own side chains. Interoperability between those chains is critical. Aelf is paving the way for a new internet infrastructure.

“Blockchain could significantly reduce time delays and human mistakes, and monitor cost, labor, waste and emissions at every point in the supply chain. In the food sector, a manufacturer could automatically identify contaminated products in a matter of seconds and wouldn’t need to pull an entire product line from store shelves in the case of contamination.”

Security issues. Like the blockchain, the sidechain needs the work of miners to stay safe from attacks. Without sufficient power, the sidechain is vulnerable for assault. If hacked, only the sidechain will be damaged, while the main chain remains untouched and ready to continue work. If the main chain comes under the attack, the sidechain still operates, but without the value of the peg.
Saying that, Interoperability has been the missing link in conquering the obstacles faced by both private and public blockchains by empowering them to interact and exchange values across platforms seamlessly. Developers use of the Gallactic blockchain technology, that allow for private and public blockchains within its eco-system, will drive the potential to combine both public and private blockchains with innovative new solutions, designed to accomplish cross-chain exchange and greater compatibility is the way forward for all parties and their concerns.