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Nature of Business and Liquidity (Details) - USD ($)
 3 Months Ended 9 Months Ended 12 Months Ended
Jul. 13, 2021
Sep. 30, 2023
Jun. 30, 2023
Mar. 31, 2023
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Sep. 30, 2023
Sep. 30, 2022
Dec. 31, 2022
Dec. 31, 2021
Feb. 28, 2023
Apr. 30, 2021
Subsidiary, Sale of Stock [Line Items]                          
Shares issued (in shares) 7,187,500                        
Net proceeds                     $ 26,335,100    
Number of shares of common stock called by warrants 199,241 15,625           15,625       9,962  
Exercise price $ 100.00 $ 100.00           $ 100.00          
Shares converted (in shares) 1,068,135                        
Net cash used in operating activities               $ 12,411,046 $ 11,742,788 $ 15,762,512 5,266,885    
Net loss   $ 5,299,962 $ 4,341,653 $ 4,816,934 $ 4,289,610 $ 4,671,232 $ 3,470,070 14,458,548 $ 12,430,912 17,564,968 6,843,399    
Accumulated deficit   42,328,798           42,328,798   27,870,249 10,305,281    
Cash   $ 7,452,934           7,452,934   4,968,418 $ 20,825,860    
Net proceeds from sale of common stock               $ 14,931,171   1,300,000      
Expected Award amount                   $ 870,000     $ 2,392,845
IPO [Member]                          
Subsidiary, Sale of Stock [Line Items]                          
Gross proceeds $ 28,750,000                        
Shares issued (in shares) 359,375                        
Price per share (in dollars per share) $ 4.00                        
Net proceeds $ 25,400,000                        
Number of shares of common stock called by warrants 312,500                        
Exercise price $ 5.00                        
Redemption premium (as a percent) 125.00%                        
Shares converted (in shares) 53,406                        
Net proceeds from sale of common stock $ 28,750,000