Gessler, on October 22, 2021, commented on a very interesting idea of a new Quad:
A new 'Quad' seems to be taking shape in the Middle East, with Israel & UAE joining the common core of US & India (from the Indo-Pacific Quad).
The Foreign Ministers/Secretaries of State equivalents of Israel, UAE, US and India held a part-virtual, part-in person summit a few days ago, a year after the historic 'Abraham Accords'.
I [Gessler] can only speculate as to the US perspective in this, the others will work with it if they see common cause:
1) Keep strategic Chinese investments & facilities out of Israel & UAE/GCC (like the terminal at Israel’s Port of Haifa owned by China's CCP - that's causing heartburn in Washington)
2) Keep China from supplanting the US' role as the main external backer (strategically & financially) of Israel
3) Keep India from dependence on Iranian crude oil by substituting it permanently with GCC (Arab oil) supplies, probably making the current costly endeavor a bit dearer.
Beyond that Israel, UAE, US and India could be seeking to create a common platform for controlling several emerging tech regulatory functions, keeping out Chinese 5G (and in future probably Chinese Artificial Intelligence) etc like the Indo-Pacific Quad is doing now.
A good analysis of the development & some perspective from Indian website The Print https://theprint.in/opinion/global-print/why-us-and-india-are-taking-on-china-with-a-middle-eastern-quad/752775/
This also needs to be looked at through the lens of the proposed Arab-Mediterranean Trade Corridor proposed by India some years ago, but until the Abraham Accords were signed, it didn't seem practical - but now it seems to be the most pragmatic thing around.
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The Youtube (here and above) beautifully summarizes the Quad/Corridor concept in detail - especially from 8:35 onward.
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Important supporting documents:
1. Professor Michael Tanchum’s August 27, 2021, abstract “India’s Arab-Mediterranean Corridor: A Paradigm Shift in Strategic Connectivity to Europe” at https://www.isas.nus.edu.sg/papers/indias-arab-mediterranean-corridor-a-paradigm-shift-in-strategic-connectivity-to-europe/
2. Tanchum’s actual report: https://www.isas.nus.edu.sg/wp-content/uploads/2021/08/South-Asia-Scan-Aug-2021-V4.pdf
and
3. Some comment’s at Tanchum’s twitter account
https://twitter.com/michaeltanchum/status/1432982061632172033