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Stockholders’ Deficit (Details) - USD ($)
 3 Months Ended 12 Months Ended
Mar. 31, 2024
Feb. 29, 2024
Jan. 31, 2024
Jun. 09, 2023
Apr. 05, 2023
Feb. 28, 2023
Mar. 31, 2024
Dec. 31, 2023
Dec. 29, 2023
Dec. 31, 2022
Stockholders Deficit [Line Items]                    
Preferred stock shares authorized 25,000,000           25,000,000      
Preferred stock par value (in Dollars per share) $ 0.0001           $ 0.0001      
TemporaryEquitySharesOutstanding              
Preferred stock issued              
Share voting             one      
Capital stock percentage             80.00%      
Aggregate percentage             33.00%      
Exercise price per share (in Dollars per share) $ 18           $ 18      
Expected transaction proceeds (in Dollars)             $ 50,000,000      
Purchase option 2,141,839 2,141,839 2,141,839              
Cash proceeds (in Dollars)             40,000,000      
Subscription receivable (in Dollars) $ 6,000,000           6,000,000      
Exercised of warrants 380,771 380,771 380,771              
Stock Issued During Period, Value, Stock Options Exercised (in Dollars) $ 45,760 $ 45,760 $ 45,760       45,760      
Granted options         383,151          
Exercise price (in Dollars per share)         $ 0.49          
Exercise term (in Dollars per share)         7          
Grant date fair value (in Dollars per share)         $ 0.14          
total purchase price (in Dollars) $ 56,250 $ 56,250 $ 56,250       $ 56,250      
Options outstanding 1,335,080           1,335,080      
Public Warrants [Member]                    
Stockholders Deficit [Line Items]                    
Outstanding warrants 14,375,000           14,375,000      
Exercise price per share (in Dollars per share) $ 0.01           $ 0.01      
December 7, 2030 [Member]                    
Stockholders Deficit [Line Items]                    
Options outstanding             594,955      
March 15, 2031 [Member]                    
Stockholders Deficit [Line Items]                    
Options outstanding             71,395      
April 8, 2031 [Member]                    
Stockholders Deficit [Line Items]                    
Options outstanding             285,579      
April 4, 2030 [Member]                    
Stockholders Deficit [Line Items]                    
Options outstanding             383,151      
Montana Technologies LLC [Member]                    
Stockholders Deficit [Line Items]                    
Converted shares           105,331        
Power & Digital Infrastructure Acquisition II Corp. [Member]                    
Stockholders Deficit [Line Items]                    
Preferred stock shares authorized               1,000,000    
Preferred stock par value (in Dollars per share)               $ 0.0001    
Common stock redemption price (in Dollars per share)       $ 10.37            
Trust account (in Dollars)               $ 114,641,527   $ 294,395,846
Percentage of common stock               20.00%    
Threshold period for effective within statement after business combination               60 days    
Warrant and outstanding term               5 years    
Price threshold of newly issued stock price (in Dollars per share)               $ 9.2    
Percentage of equity proceeds from issuance               60.00%    
Minimum number of trading days               20 days    
Percentage of warrant exercise price               115.00%    
Redemption trigger price (in Dollars per share)               $ 18    
Equal or exceed redemption price (in Dollars per share)               $ 18    
Power & Digital Infrastructure Acquisition II Corp. [Member] | Public Warrants [Member]                    
Stockholders Deficit [Line Items]                    
Outstanding warrants               14,375,000    
Threshold period for filling registration statement after business combination               20 days    
Redemption price per warrant (in Dollars per share)               $ 0.01    
Threshold trading days for redemption of public warrants               20 days    
Threshold consecutive trading days for redemption of public warrants               30 days    
Stock price trigger for redemption of public warrants (in Dollars per share)               $ 18    
Power & Digital Infrastructure Acquisition II Corp. [Member] | Warrants [Member]                    
Stockholders Deficit [Line Items]                    
Exercise price per share (in Dollars per share)               $ 11.5    
Power & Digital Infrastructure Acquisition II Corp. [Member] | Preferred Stock [Member]                    
Stockholders Deficit [Line Items]                    
TemporaryEquitySharesOutstanding                
Preferred stock issued                
Class A Common Stock [Member]                    
Stockholders Deficit [Line Items]                    
Common stock authorized 600,000,000           600,000,000 600,000,000    
Common stock par value (in Dollars per share) $ 0.0001           $ 0.0001 $ 0.0001    
Common stock outstanding 49,063,770           49,063,770 32,731,583    
Common stock issued 49,063,770           49,063,770 32,731,583    
Purchase warrants 1           1      
Exercise price per share (in Dollars per share)             $ 11.5      
Class A Common Stock [Member] | Public Warrants [Member]                    
Stockholders Deficit [Line Items]                    
Purchase warrants 1           1      
Exercise price per share (in Dollars per share)             $ 11.5      
Class A Common Stock [Member] | Common Stock [Member]                    
Stockholders Deficit [Line Items]                    
Purchase option             2,141,839      
Exercised of warrants             380,771      
Stock Issued During Period, Value, Stock Options Exercised (in Dollars)             $ 38      
total purchase price (in Dollars)             $ 214      
Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member]                    
Stockholders Deficit [Line Items]                    
TemporaryEquitySharesOutstanding               10,608,178   28,750,000
Preferred stock issued               10,608,178   28,750,000
Common stock par value (in Dollars per share)                 $ 0.0001  
Share voting               one    
Exercise price per share (in Dollars per share)               $ 11.5    
Common stock, subject to possible redemption               10,608,178   28,750,000
Stockholders elected to redeem shares       18,141,822       18,141,822    
Common stock redemption price (in Dollars per share)               $ 10.37    
Aggregate redemption amount (in Dollars)       $ 188,132,132       $ 188,132,132    
Shares authorized unissued               489,391,282    
Price threshold of newly issued stock price (in Dollars per share)               $ 9.2    
Percentage of warrant exercise price               180.00%    
Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] | Class A Common Stock Equals Or Exceeds Threshold One Member                    
Stockholders Deficit [Line Items]                    
Target share price of warrants or rights for redemption (in Dollars per share)               $ 18    
Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] | Common Stock [Member]                    
Stockholders Deficit [Line Items]                    
TemporaryEquitySharesOutstanding               10,608,178   28,750,000
Common stock authorized               500,000,000    
Common stock par value (in Dollars per share)               $ 0.0001    
Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] | Stockholders’ [Member]                    
Stockholders Deficit [Line Items]                    
Common stock outstanding               10,608,178    
Common stock issued               10,608,178    
Class B Common Stock [Member]                    
Stockholders Deficit [Line Items]                    
Common stock authorized 50,000,000           50,000,000 50,000,000    
Common stock par value (in Dollars per share) $ 0.0001           $ 0.0001 $ 0.0001    
Common stock outstanding 4,759,642           4,759,642 4,759,642    
Common stock issued 4,759,642           4,759,642 4,759,642    
Class B Common Stock [Member] | Common Stock [Member]                    
Stockholders Deficit [Line Items]                    
Purchase option                  
Exercised of warrants                  
Stock Issued During Period, Value, Stock Options Exercised (in Dollars)                  
total purchase price (in Dollars)                  
Class B Common Stock [Member] | Montana Technologies Corporation’s [Member]                    
Stockholders Deficit [Line Items]                    
Purchase option             5,807,647      
Class B Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member]                    
Stockholders Deficit [Line Items]                    
Common stock authorized               50,000,000   50,000,000
Common stock par value (in Dollars per share)               $ 0.0001   $ 0.0001
Common stock outstanding               7,187,500   7,187,500
Common stock issued               7,187,500   7,187,500
Shares authorized unissued               42,812,500    
Class B Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member] | Stockholders’ [Member]                    
Stockholders Deficit [Line Items]                    
Common stock outstanding               7,187,500    
Common stock issued               7,187,500    
Series B Preferred Units [Member]                    
Stockholders Deficit [Line Items]                    
Preferred units           4,426        
Private Placement Warrants [Member]                    
Stockholders Deficit [Line Items]                    
Outstanding warrants 11,125,000           11,125,000      
Private Placement Warrants [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member]                    
Stockholders Deficit [Line Items]                    
Outstanding warrants                   11,125,000
Exercise price per share (in Dollars per share)               $ 1    
Private Placement Warrants [Member] | Class A Common Stock [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member]                    
Stockholders Deficit [Line Items]                    
Exercise price per share (in Dollars per share)               11.5    
Public Warrants [Member] | Power & Digital Infrastructure Acquisition II Corp. [Member]                    
Stockholders Deficit [Line Items]                    
Equal or exceed redemption price (in Dollars per share)               $ 18