Equity - Common and Preferred Stock (Details)					3 Months Ended	9 Months Ended
	Aug. 28, 2023 item $ / shares shares	Jun. 06, 2023 USD ($) $ / shares shares	Mar. 08, 2023 USD ($) $ / shares shares	Feb. 08, 2023 USD ($)	Sep. 30, 2023 USD ($) $ / shares shares	Sep. 30, 2023 $ / shares shares	Sep. 30, 2022 shares	Aug. 30, 2023 shares	Jun. 30, 2023 $ / shares	Mar. 31, 2023 $ / shares	Dec. 31, 2022 $ / shares shares
Class of Stock [Line Items]
Common stock, shares authorized					500,000,000	500,000,000					500,000,000
Common stock, par value | $ / shares					$ 0.001	$ 0.001					$ 0.001
Shares of common stock sold							7,824,727
Warrants, exercise price per share | $ / shares					$ 2.32	$ 2.32			$ 2.51	$ 5.40	$ 6.49
Preferred stock, shares authorized					50,000,000	50,000,000					50,000,000
Preferred stock, par value | $ / shares					$ 0.001	$ 0.001					$ 0.001
Series A Convertible Preferred Stock
Class of Stock [Line Items]
Preferred stock, shares authorized					12,000,000	12,000,000					12,000,000
Preferred stock, par value | $ / shares					$ 0.001	$ 0.001					$ 0.001
Preferred stock, shares outstanding					3,000,000	3,000,000					0
H.C. Wainwright & Co. LLC
Class of Stock [Line Items]
Letter agreement, payments of cash fee credit | $				$ 100,000
Percentage of cash fee paid under the letter agreement				3.00%
Securities Purchase Agreement
Class of Stock [Line Items]
Common stock, shares authorized			3,866,666
Shares of common stock sold			3,866,666
Shares Issued, Price Per Share | $ / shares			$ 0.75
Warrants, exercise price per share | $ / shares			$ 0.75
Warrants expiration term			5 years
Proceeds from issuance of Common stock, net of transaction costs | $			$ 2,900,000
Securities Purchase Agreement June Investors
Class of Stock [Line Items]
Common stock, shares authorized		9,670,002
Shares of common stock sold		9,670,002
Shares Issued, Price Per Share | $ / shares		$ 0.65
Warrants, exercise price per share | $ / shares		$ 0.6525
Warrants expiration term		5 years
Proceeds from issuance of Common stock, net of transaction costs | $		$ 5,710,000
Securities Purchase Agreement June Investors | H.C. Wainwright & Co. LLC
Class of Stock [Line Items]
Securities purchase agreement, placement agent fee percentage		6.50%
Less: transaction costs and advisory fees allocated to NRXP equity | $		$ (600,000)
Securities purchase agreement, august investors
Class of Stock [Line Items]
Number of shares issued	3,000,000
Number of warrants issued with each share | $					1
Proceeds from offering | $					$ 1,200,000
Aggregate cash purchase price per unit | $ / shares					$ 0.40
Securities purchase agreement, august investors | Series A Convertible Preferred Stock
Class of Stock [Line Items]
Warrants expiration term	5 years
Preferred stock, shares authorized								12,000,000
Preferred stock, par value | $ / shares	$ 0.001
Number of shares issued	3,000,000				3,000,000.0
Number of warrants issued with each share | item	1
Preferred stock conversion, stock price trigger | $ / shares						$ 1.20
Preferred stock conversion, period during which shares shall not be converted						6 months
Preferred stock conversion, threshold maximum percentage of outstanding common stock shares					4.90%	4.90%
Shares issued upon conversion					0	0